Filed papers, and notes from talks
Hermitian left invariant metrics on complex Lie groups and cosymplectic Hermitian manifolds
A theorem of Briancon-Skoda type for regular local rings containing a field
Invariant Theory and Enumerative Combinatorics of Young Tableaux
Square-root Parametrization of Plane Curves
Resolution of singularities in various characteristics
Intersection of algebraic space curves
Embeddings of the line in the plane
Lectures on Seiberg-Witten Invariants
Stable reduction for fibred surfaces
Alterations and resolution of singularities
Torification and factorization of birational maps
Functions in two variables with two critical values
Intersection numbers and Segre numbers
On the computation of the Stueckrad-Vogel cycle by analytic spread and minimal reductions
Multiplicity for ideals of maximal analytic spread and intersection theory
Analytic spread of an ideal and Stueckrad-Vogel intersection cycle
Analytic deviation of ideals and intersection theory of analytic spaces.
On improper isolated intersection in complex analytic geometry
Invariants of Gauss maps of theta divisors
Whitney Numbers
On the Griffiths group of the cubic sevenfold
From Teichmueller spaces to conformal field theory (and back)
The congruent number problem
The presentation functor and the compactified Jacobian
A surprising fact about D-modules in characteristic p>0
On a theorem of Torelli
Matroid Bundles
Cohen-Kaplansky Domains: Integral Domains with a Finite Number of Irreducible Elements
Le theoreme de Riemann-Roch singulier pour les D-modules
Mysterious mathematical trinities
Solving PDEs using Newton polyhedra
The vanishing of vanishing theorems in characteristic p
Fundamental group
Stable curves and de Jong's theorem
A crash course on sheaf cohomology
Topology of M_g
Chapters 10-14
Grothendieck topologies
A site-theoretic characterization of points in a topological space
X-ray of Riemann's Zeta-function
Bounds and algorithms for polynomial rings over the integers
Generic 2x2 Matrices in Positive Characteristic
Deformations of Coxeter arrangements and their characteristic polynomials
The geometry and physics of knots
Angular Momentum, Convex Polyhedra and Algebraic Geometry
Duality in Quantum Field Theory
The moment map and equivariant cohomology
The index of elliptic operators on compact manifolds
Combinatorial stacks and the four-colour theorem
Surgery, Knots and the Seiberg-Witten Equations
The Hilbert scheme component of the intersection of two quadrics
This week's finds in mathematical physics, weeks 1--5
This week's finds in mathematical physics, weeks 6--10
Higher-dimensional algebra and Planck-scale physics
Quantum quandaries: a category-theoretic perspective
A characterization of balanced rational normal surface scrolls in terms of their osculating spaces II
3.4 Is quantum mechanics complete?
Conjugacy classes in loop groups and G-bundles on elliptic curves
Classes de Chern des varietes toriques singulieres
Relevement de cycles algebriques et homomorphismes associes en homologie d'intersection
Quelques formules multisecantes pour les surfaces
H-cohomologies versus algebraic cycles
Formules pour les trisecantes des surfaces algebriques
Locally Polynomial Algebras are Symmetric Algebras
The Jacobian conjecture: reduction of degree and formal expansion of the inverse
Mirror symmetry and string-theoretic Hodge numbers
Birational Calabi-Yau n-folds have equal Betti numbers
Generic lemniscates of algebraic functions
Fixed point formula for singular varieties
Vector fields and Gauss-Bonnet
Riemann-Roch for singular varieties
Chromatic Polynomials and Hilbert Functions
A criterion for detecting m-regularity
A theorem on refining division orders vy the reverse lexicogeraphic order
?
What can be computed in Algebraic Geometry?
Rational Ribbons: Double Structures On The Line
Algebraic cycles
Le Probleme de Torelli
Quantum cohomology of complete intersections
Fano contact manifolds and nilpotent orbits
Local systems on \P^1 - S for S a finite set
Matroids, motives, and a conjecture of Kontsevich
Basics of quantum cohomology
Basics of quantum cohomology
Equivariant cohomology
Equivariant Gromov-Witten invariants I
Equivariant Gromov-Witten invariants II
Gromov-Witten invariants in algebraic geometry
The intrinsic normal cone and the construction of virtual fundamental classes
DeRham cohomology of stacks - preliminary considerations
Differential graded schemes
Cohomology of stacks: cohomology of coherent sheaves
Cohomology of stacks - discrete coefficients I
Cohomology of stacks - discrete coefficients II
Equivariant vector fields and the cohomology of stable map spaces
The Intrinsic Normal Cone
Stacks of stable maps and Gromov-Witten invariants
Higher regulators and values of L-functions Tranlated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki Vol. 24, pp. 181-238, 1984
Geometric class field theory
Factorization
Quantization of Hitchin's hamiltonians
Cusps and D-modules
Enumerative geometry for plane cubic curves with j-invariant 0 in characteristic 2
Enumerative geometry for plane cubic curves in characteristic 2
Transfers and Riemann-Roch formulas for some cyclic coverings
Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
A monoid for the universal k-Bruhat order
Hopf algebras and edge-labeled posets
A Pieri-type formula for isotropic flag manifolds
Algebraic Theory of D-modules
Holomorphic Anomalies in Topological Field Theories
Modular Schubert Calculus
Variations on the theme of stable maps
A simple constructive proof of Canonical Resolution of Singularities
Resolution of Singularities
Une Stratification des Composantes Lisses du Schema Quot_Orx/X/k
On Complete Symmetric Varieties
Cohomology of complete symmetric varieties
Geometric Consequences of Extremal Behavior in a Theorem of Macaulay
The universal Euler characteristic for varieties of characteristic zero
On motivic zeta functions and the motivic nearby fibers
Homological algebra and filtered rings
Theory of cobordism for non-spherical links
Algebraic K-theory and Algebraic Geometry
Introduction of dissertation
Algebraic cycles and higher K-theory
Cycles on Arithmetic Schemes and Euler Characteristics of Curves
Riemann-Roch for connections
Zero Cycles and the Number of Generators of an Ideal
Gersten's conjecture and the homology of schemes
Remarks on Correspondences and Algebraic Cycles
The Riemann hypothesis
Classification and Embeddings of Surfaces
Quantum field theory
Algebraic groups and arithmetic groups
Le theoreme de Riemann-Roch
Elliptic genera of singular varieties
McKay correspondence for elliptic genera
On some recent interactions between mathematics and physics
Boundaries of Nonpositively Curved Groups of the Form G x Z^n
A generalization of Kalai's conjecture
Koszul duality for toric varieties
A "regular" pentagonal tiling of the plane
First 10 pages.
Aspects combinatoires des singularites
Cycles algebriques et homomorphismes en homologie d'intersection
Classes de Mather et homologie d'intersection
Survey on vector fields and characteristic classes
Open problems on Milnor classes
Obstruction theory and differential forms
Euler obstruction and indices of vector fields
From Chern classes to Milnor classes
Poincare' duality and toric varieties
Milnor classes via polar varieties
Lectures on characteristic classes
Applications holomorphes dont la source est une surface de Riemann
Sur une formula de M. H. Schwartz relative aux revetements ramifies
A canonical lift of Chern-Mather classes to intersection homology
Remarks on bivariant constructible functions
Milnor classes of local complete intersections
Milnor classes of local complete intersections
Euler obstruction and indices of vector fields
Euler obstruction and defects of functions on singular varieties
Hirzebruch classes and motivic Chern classes for singular (complex) algebraic varieties
Hirzebruch classes and motivic Chern classes for singular spaces
Bivariant Chern classes and Grothendieck transformations
A strong desingularization theorem
On the singularities of theta divisors on Jacobians
A simplified proof of desingularization and applications
Singular elements of semi-simple algebraic groups
Steenrod operations in Chow theory
On motivic decompositions arising from the method of Bialynicki-Birula
Multiplicity estimates for analytic functions II
Localisation de systemes differentiels, stratifications de Whitney et condition de Thom
Equivariant cohomology and equivariant intersection theory
Equivariant cohomology and equivariant intersection theory
Equivariant Chow groups and applications
Multiplicity estimates for analytic functions II
Some C^\infty properties of Kaehler surfaces.
Canonical and Seiberg-Witten classes of a Kaehler manifold
Mirror and T-duality for K3-surfaces
Numerical criteria for semistability of bundles
Counting curves on K3 and abelian surfaces
Evidence for a conjecture of Pandharipande
Topology of Homology Manifolds
(Co)-homologie d'intersection et faisceaux pervers
Modules holonomes a singularites regulieres et filtration de Hodge
La classe fondamentale d'une variete algebrique engendre le D-module qui calcule sa cohomologie d'intersection (d'apres Kashiwara)
Universal quantum gates
Formule de l'indice pour les Modules Holonomes et obstruction d'Euler locale
Kazhdan-Lusztig conjecture and holonomic systems
Star-products and relations to geometric quantization
The semiregularity map
Monodromy conjecture for hyperplane arrangements
On the period matrix of a Riemann Surface of Large Genus
Short homology bases and partitions of Riemann surfaces
Triangulations and homology of Riemann surfaces
The life and times of Emmy Noether: Contributions of Emmy Noether to Particle Physics
On Projections of Determinant to Permanent
Derived categories of sheaves: a skimming
The unitary hypothesis: A common neural circuitry for novel manipulations, language, plan-ahead, and throwing?
Cortical columns, modules, and Hebbian cell assemblies
On the geometry of invariant curves by singular foliations on algebraic varieties
Invariants caracteristiques de Puiseux pour les singularites de dimensions superieures
On characteristic cones, clusters and chains of infinitely near points
Clusters of infinitely near points
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory (review by B. Hunt)
Linear systems on quasi-abelian varieties
Rational curves on rational ruled surfaces
Enumerating curves on rational surfaces
Curves over function fields
Boundedness for fibrations of curves
On modular properties of odd theta characteristics
Counting plane curves of any genus
Recovering plane curves from their bitangents
Genera of Algebraic Varieties and Counting of Lattice Points
Mathematical slices of molecular biology
Functional labels and syntactic entropy on DNA strings and proteins
Exact triangles in Seiberg-Witten Floer theory. Part I: The geometric triangle
Period Map
Manifacturing non Kaehler groups
Un pays dont on ne connaitrait que le nom (Grothendieck et les "motifs")
Even sets of nodes are bundle symmetric (+ errata)
La conjecture de monodromie pour quelques singularites de surfaces
Singular Hermitian metrics
On the Chow motive of the Hilbert scheme
The Hodge theory of algebraic maps
The Chow groups and the motive of the Hilbert scheme of points on a surface
The Hard Lefschetz theorem and the topology of semismall maps
The Hodge theory of algebraic maps
Un teorema di dualita' per i fasci coerenti su uno spazio analitico reale
Decomposizioni primarie locali e decomposizioni irriducibili globali per coni e fibrati lineari analitici.
Singular bidouble covers and the construction of interesting algebraic surfaces
Fundamental groups and fibrations of algebraic varieties
Local fundamental groups and surface classification (improving a theorem of Mumford)
Focal varieties of algebraic varieties
Homological algebra and algebraic surfaces
Fibred surfaces, varieties isogenous to a product and related moduli spaces
Hilbert e la teoria degli invarianti
Hilbert presso la Georg August Univesitaet Goettingen: ieri ed oggi
Chapter VIII: Infinitesimal Torelli theorems and counterexamples to Torelli problems
Chow varieties, Hilbert schemes, and moduli spaces of surfaces of general type
Automorphisms of rational double points and moduli spaces of surfaces of general type
Algebraic surfaces
Algebraic surfaces: real structures, topological and differentiable types
Triangle curves and surfaces
Algebraic surfaces
The orbifold fundamentla group of Persson-Noether-Horikawa surfaces
Real hyperelliptic surfaces and the orbifold fundamental group
Bounds for stable bundles and degrees of Weierstrass schemes
d-very ample line bundles and embeddings of Hilbert schemes of 0-cycles
Symmetric products of elliptic curves and surfaces of general type with pg=q=1
Rational surfaces in P^4 containing a plane curve
Focal loci of algebraic varieties I
On simply connected Godeaux surfaces
On the scalar curvature of Einstein manifolds
Polynomial bounds for Abelian groups of automorphisms
On the classification of irregular surfaces of general type with nonbirational bicanonical map
Embeddings of curves and surfaces
Sur les courbes aplaties
Some Remarks on Algebraic Equivalence of Cycles
A correspondence between Hilbert polynomials and Chern polynomials over projective spaces
Closed families of smooth space curves
A note on the slope of subvarieties of Mbar_15
Divisors on Mbar_g and the cosmological constant
Deformations and smoothing of complete linear systems on reducible curves
Computing Hilbert polynomials of residual intersections
The cohomology of smooth nested Hilbert schemes of points
On the cohomology of Hilbert schemes of points
The virtual Hodge polynomials of nested Hilbert schemes and related varieties
Cellular decompositions for various vested Hilbert schemes of points
The Hodge polynomial of the Fulton-MacPherson compactification of configuration spaces
Quantum entanglement and geometry of determinantal varieties
epsilon-constants and Arakelov Euler characteristics
On the degree of Severi varieties
Steenrod operations
Hochschild homology of tensor products
On the Degree and Genus of Smooth Curves in a Projective Space
Sulle varieta' limiti delle trasformate omografiche di una varieta' assegnata
Graph Curves, Colorings, and Matroids
Curves on Surfaces of Degree 2r-\delta in P^r
About moduli
Quantum double Schubert polynomials
On quantum cohomology rings of partial flag varieties
Mirrors for complete intersection Calabi-Yau threefolds in partial flag manifolds
Geometric codes over fields of odd prime power order
Some Results about Abel-Jacobi Mappings
Applications of Mixed Hodge Theory to the Study of Threefolds
On subvarieties of intersection submanifolds of projective manifolds
Counting curves on 3-folds
Cohomology of fiber-type arrangements and Orlik-Solomon algebras
Talk, MSRI, 3/22/1993
A Higher-order Contact Formula for Plane Curves
Triple and quadruple contact of plane curves
The Enumeration of Simultaneous Higher-order contacts between plane curves
Detecting flat normal cones using Segre classes
Contact formulas for rational plane curves via stable maps
The Rational Equivalence Ring of Symmetric Products of Curves
Lines on Quartic Threefolds
A Cheap Proof of the Irrationality of Most Cubic Threefolds
Footnote to a Paper of Griffiths
Quillen's K-theory and Algebraic Cycles on Almost Non-singular varieties
The fundamental group of the Fano surface, I
A quick Proof of Ran's Criterion for Jacobian Varieties
A Simple Proof of the Theorem of Torelli based on Torelli's Approach
A regulator map for surfaces with an isolated singularity
Evidence for a conjecture of Ellingsrud and Stroemme on the Chow ring of Hilb_d(P^2)
Torsion in the Chow group of codimension two: the case of varieties with isolated singularities
Washnitzer's conjecture and the cohomology of a variety with a single isolated singularity
Griffiths' infinitesimal invariant and higher K-theory on hyperelliptic jacobians.
Evidence for a conjecture on the quantum cohomology product of a Fano hypersurface
Riflessioni su un algoritmo per la quantum cohomology di una ipersuperficie di Fano
Indecomposable motivic cohomology classes on quartic surfaces and on cubic fourfolds
Intersection rings of spaces of triangles
The intermediate Jacobian of a cubic threefold with one ordinary double point; an algebraic-geometric approach (I)
On the Family of Conics Lying on a Quartic Threefold
Un esempio elementare di varieta' relativamente minimale non assolutamente minimale
Griffiths' infinitesimal invariant for a curve in its Jacobian
Multiplication by m in Jacobians
A K-theory for the category of projective algebras
Noncommutative geometry, year 2000 (p.1-14)
Teorie dell'intersezione e K-teoria su varieta' singolari
A Moving-Lemma for a Singular Variety and Applications to the Grothendieck Group K_0(X)
The Connectedness of Space Curve Invariants
Limits Weierstrass schemes on stable curves with 2 irreducible components
Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
Factoring birational maps of threefolds after Sarkisov
Lemma on divisors of smooth hypersurfaces of P^n
The moduli space of curves
Motivic decomposition and intersection Chow groups I
The Homogeneous Coordinate Ring of a Toric Variety
The Functor of a Smooth Toric Variety
Physical Theories
Degenerations of minimal ruled surfaces
Quantum cohomology of rational surfaces
On terminal singularities with triple-point-free resolutions
Cremona transformations and Hartshorne's conjecture
An introduction to motivic integration
On higher Weierstrass points
Curves of genus ten on K3 surfaces
Euler characteristic of a complete intersection
The role of free divisors in the topology and combinatorics of nonlinear arrangements
The geometry of toric varieties
Cohomology of algebraic varieties
Newton polyhedra and an algorithm for computing Hodge-Deligne numbers
Quantum deformation of classical geometry
Subvarieties of abelian varieties
A Lefshetz theorem for degeneracy loci
Cohomologie a support propre et construction du foncteur f^!
Le formalisme des cycles evanescents
Letter, 7/31/2005
Hyperbolicity of projective varieties and jet bundles
Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials
Compact Complex Manifolds with numerically effective Tangent Bundles
Plane curves with C-hyperbolic complements
A growth model, a game, an algebra, Lagrange inversion, and characteristic classes
Space Curves That Intersect Often
Towards the homology of Hurwitz spaces
Arithmetic and topology
On the topology of polynomial functions
Adjoint ideals and multiplier ideals
Une introduction aux faisceaux pervers
Quantum intersection rings
Les Houches lectures on fields, strings and duality
Invariant theory
Lectures 18-19
Lecture 1
On the fundamental group of the complement to a discriminant variety
Arrangements of hyperplanes and vector bundles on P^n
Generic Torelli and variational Schottky
Seiberg-Witten integrable systems
Principal bundles over elliptic fibrations
Gerbes, genus-1 fibrations, and mirror symmetry
Supersymmetric Yang-Mills theory and integrable systems
A Non-Perturbative Superpotential with E8-symmetry
On completing conics
On completeness of varieties in Enumerative Geometry
Completion of the variety of conics with respect to contact conditions I
Completion of the variety of conics with respect to contact conditions II
The intersection rings of the conic varieties
Contact conditions on conic varieties and Halphen's 2nd Formula
Quantum Groups
Devissage de la forme de Seifert entiere des germes de courbes plane a deux branches
Classes characteristiques des varietes singulieres
Formule pour l'Indice des complexes constructibles et des Modules holonomes
Formule pour les cycles evanescents
Calcul des invariants numeriques des singularites et applications
Une entrevue avec Jean Giraud, a propos d'Alexandre Grothendieck...
A naive guide to mixed Hodge Theory
Critical points at infinity
Some questions about the ring of formal power series
Prestable Ideals
Analytic Extensions of a Commutative Ring
On Automorphisms and Derivations of Cayley-Dickson Algebras
A filtration defined by arcs on a variety
Notes on the construction of the moduli space of curves
On quotient stacks
Riemann-Roch for equivariant Chow groups
Characteristic classes and Quadric Bundles
Equivariant Chow groups and the Bott residue formula
Localization in equivariant intersection theory and the Bott residue formula
Equivariant Intersection Theory
Characteristic classes of principal bundles in algebraic geometry
V. The Weyl algebra
Varieties with small dual varieties I
Varieties with small dual varieties II
Restriction theorems for stable rank 3 vector bundles on P^n
Jet schemes, log discrepancies, and inversion of adjunction
Contact loci in arc spaces
Groebner Bases
Green's conjecture on free resolutions and canonical curves
Projective geometry and homological algebra
Progress in the theory of complex algebraic curves
Binomial ideals
Using Macaulay 2
On Hurwitz numbers and Hodge integrals
Chapter 2: quantum cryptography
Introduction to toric geometry
Talk, MSRI, 3/23/1993
Counting rational curves on K3 surfaces
Computing some classes on the Hilbert scheme of a surface
Variation of moduli spaces and Donaldson invariants under change of polarization
Wall-crossing formulas, Bott residue formula and the Donaldson invariants of rational surfaces
On generators for the Chow ring of fine moduli spaces on P^2
On the Chow ring of a geometric quotient
Counting twisted cubic curves on general complete intersections
Bott's formula and enumerative geometry
Some Donaldson invariants of CP^2
On the variety of nets of quadrics defining twisted cubics
Topological Radon transforms and the local Euler obstruction
A Pluecker Formula for Projective Singular Varieties
Contact cohomology for P^2
Contact cohomology and characteristic numbers of rational plane curves
The excess intersection formula and Gromov-Witten invariants
Recursive formulas for the characteristic numbers of rational plane curves
Contact cohomology of the projective plane
Algebres Symetriques et Singularites
Rational points on Fano varieties
Variation on Artin's vanishing theorem
A geometric interpretation and a new proof of a relation by Cornalba and Harris
Diophantine inequalities on projective varieties
Prym Varieties of Tiple Cyclic Covers
Tautological classes on the moduli space of curves
Intersection-theoretical computations on M_g-bar
Cycles on the moduli space of curves and abelian varieties in char. p
A conjectural description of the tautological ring of the moduli space of curves
Results and conjectures on the tautological ring of Mg
Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
Intersecting Chern classes of the Hodge bundle on Mgbar
Formulas for intersection numbers on moduli spaces of stable curves
Intersection rings of moduli spaces: a survey
Hodge integrals --- recent results
Recent results on Hodge integrals
Hodge integrals, tautological classes and Gromov-Witten theory
Hodge integrals and Gromov-Witten theory
Logarithmic series and Hodge integrals in the tautological ring
Hodge integrals, partition matrices, and the \lambda_g conjecture
Lecture 1: reminder of basics of quantum mechanics and canonical quantization in Hilbert space
Parallel connections, bundles and invariants of arrangements
Arithmetic Riemann-Roch
The product theorem for projective spaces
On Drinfel'd conjecture
Chow rings of Grassmannians
Local study of Hilbert schemes
Euler number of compactified Jacobians and multiplicities of rational curves
Hodge theory and Gromov-Witten invariants
Counting curves on manifolds with holomorphic 2-forms
Cotangent complex for schemes and stacks
Orbifold cohomology for global quotients
Stacks for everybody
Euler number of compactified Jacobians and multiplicities of rational curves
Slopes on M_gbar
Relations among Thom polynomials
Stringy Chern classes of singular varieties
A localization principle for orbifold theories
Suite reguliere et intersection complete
Sulla varieta' rappresentante elementi curvilinei del secondo ordine del piano proiettivo
Elementi curvilinei del secondo ordine dello spazio proiettivo di ogni dimensione
Diophantine approximations and toric deformations
Algebraic varieties of musical performances
Space-Time Approach to Non-Relativistic Quantum Mechanics
The decomposition theorem in combinatorial intersection cohomology
Geometric Progressions, Convex Polytopes, and Torus Embeddings
Progress in the classification of smooth 4-manifolds
Lineare Faserraeume und kohaerente Modulgarben ueber komplexen Raeumen
Minors of matrices
On imbedded components of improper intersections in projective space
Joins and intersections
Birational geometry of moduli spaces
Birational geometry of moduli spaces
The standard model - the commutative case: spinors, Dirac operators, and the de Rham algebra
Intersection products for spaces of algebraic cycles
Intersection products for spaces of algebraic cycles
Cycle spaces and intersection theory
Algebraic surfaces and Seiberg-Witten invariants
Algebraic surfaces and Seiberg-Witten invariants
Algorithmic embedded resolution of singularities
Curvature measures and Chern classes of singular varieties
Notes of a chat on characteristic classes
Stiefel-Whitney classes and the conormal cycle of a singular variety
On the Topology of Algebraic Varieties
Simple and sharp form of the abc-theorem for polynomials
Corrections for Intersection Theory, 1/1987
Algebraic Refined Intersections after van Gastel
On triangle spaces
Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
Positive polynomials for filtered ample vector bundles
Notes from Math 327, Algebra III quarter
Determinantal formulas for orthogonal and symplettic degeneracy loci
Enumerative geometry via Quantum Cohomology
Enumerative geometry via Quantum Cohomology (An introduction to the work of Kontsevich and Manin)
Degeneracy loci
Quantum Schubert polynomials
Operads and associativity of quantum product
QH^*(flag)
Quantum Schubert polynomials
Quantum double Schubert polynomials
Universal Schubert polynomials
A new Chern class formula for degeneracy loci
Eigenvalues and Schubert calculus
Enumerative geometry and excess intersection
What is a stack?
Introduction
Rational equivalence on singular varieties
Equivariant cohomology in algebraic geometry
A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
Canonical classes on singular varieties
Some intrinsic and extrinsic characterizations of the projective space
Characteristic classes of direct image bundles for covering maps
A compactification of configurations spaces
Notes on stable maps and quantum cohomology
Intersection theory on toric varieties
Intersection Theory on Spherical Varieties
Finite-dimensional approximation of the Monopole equation
Specialization of integral dependence for modules
Operads, Grothendieck topologies and deformation theory
Review of "Invariant Theory" by T.A. Springer
Combinatorics and geometry of Jones polynomials
Mixed Segre numbers and integral closure of ideals
Degenerations of conormal varieties
A geometric approach to Vogel's Intersection Theory
Excess Intersections in Projective Space
Characteristic numbers of plane curves: An excess intersection theoretical approach
Segre classes and class formulas
Relative Gromov-Witten invariants and invariants of hypersurfaces
On the closure in Mgbar of smooth curves having a Weierstrass point of weight at least 2
Quantum Italian formulas for Schubert calculus
Schubert calculus via Hasse-Schmidt derivations
Recent results on the moduli space for rank two bundles on a curve
Congruence between genus 1 and 2 modular forms
An elementary introduction to the Langlands program
Microlocal perverse sheaves
Mixed Hodge Structures, etc.
Combinatorial Geometries, Convex Polyhedra, and Schubert Cells
Hyperdeterminants
Hilbert functions of points in P^2
Generators for the defining ideal of certain rational surfaces
On the ideal of an arithmetically Buchsbaum curve
A generalized liaison addition
Reduced Gorenstein codimension three subschemes of projective space
Mixed Hodge structures of configuration spaces
Modular operads and Gromov-Witten invariants
Feynman graphs and Betti numbers of mbar_g,n
Cohomology of local systems on Mg
Topological recursion relations in genus 2
Modular Operads
Virasoro constraints and the Chern classes of the Hodge bundle
Homotopy G-Algebras and moduli space operad
Sulle curve limiti di un sistema continuo oo1 di curve piane omografiche
An introduction to higher dimensional Arakelov theory
Intersection theory using Adams operations
Descent, motives and K-theory
Characteristic varieties and vanishing cycles
Digest in algebra: 8 basic results, every grad-student must know
Perverse sheaves on a loop group and Langlads' duality
Geometric methods in the representation theory of Hecke algebras and quantum groups
A theorem on the index of differential systems, and the geometry of manifolds with singularities
Equivariant Gromov-Witten invariants
Quantum Riemann-Roch and Lefschetz
Modular forms and Donaldson invariants for 4-manifolds with b_+=1
The quantum cohomology of blow-ups
Generating functions for counting curves in linear systems on surfaces
Counting curves on surfaces
Theta functions and Hodge numbers of moduli spaces of sheaves
On the motive of the Hilbert scheme of points on a surface
The quantum cohomology of blow-ups of P^2 and enumerative geometry
Algebraic stacks
Stein surfaces and contact manifolds
Volumes of hyperbolic manifolds and mixed tate motives
Cycle maximal et invariant d'Euler local des singularites isolees de surfaces
Generalized Enriques diagrams
Generalized Enriques diagrams and characteristic cones
Polyhedra and quotient singularities
Polyhedra and quotient singularities
Families of smooth curves on surface singularities and wedges
On characteristic classes of determinantal Cremona transformations
Subspace arrangements and equivariant cohomology
Intersection Homology Theory
Intersection Homology Theory II
c_top of universal sheaves on P^2 (or del Pezzo surfaces) and QFT
Morsifications of simple functions
On graded rings associated to analytic deviation one ideals
Basics of quantum cohomology
Introduction to Hodge theory for mirror symmetry
Localization of virtual fundamental classes
Localization and virtual fundamental class
The socle of the tautological ring of Mbar_g,n is one-dimensional
Relative virtual localization and vanishing of tautological classes on moduli spaces of curves
Localization of virtual classes
Hodge integrals and Hurwitz numbers via virtual localization
The socle of the tautological ring of \overline M_g,n is one-dimensional
Explicit construction of complete Kaehler metrics of Saper type by desingularization
On minimal models of elliptic threefolds
The singularities of the parameter surface of a minimal elliptic threefold
On equidimensional models of elliptic threefolds and application to Miranda's contruction
On a Question of J. Kollar
Log Contractions and Equidimensional Models of Elliptic Threefolds
Mirror symmetry and Calabi-Yau manifolds
Calabi-Yau fourfolds and string dualities
Automorphisms and the Kaehler cone of certain Calabi-Yau manifolds
Log canonical models
Products in K-theory and Intersecting Algebraic Cycles
Weight filtrations in algebraic K-theory
An Introduction to Mirror Manifolds
On the periods of certain rational integrals: I
On the periods of certain rational integrals: II (incomplete)
Variation of Hodge structure
Curvature properties of the Hodge bundles
Infinitesimal variation of Hodge structure
Asymptotic behavior of a vairation of Hodge structure
Applications of the Riemann-Roch Theorem
On the variety of special linear systems on a general algebraic curve
Euler characterstics and Lagrangian intersections
Endomorpshisms of symbolic algebraic varieties
Sur quelques points d'algebre homologique
Sketch of a program for an intersection theory on general schemes
Classes of sheaves and the Riemann-Roch theorem
redige par P. Deligne
Les orphelins, etc
Sketch of a programme
SGA1, 1-104
Quantum cohomology via D-modules
Variations on a theme by Kepler
Limits of Weight Spaces and Lusztig's q-Analogs
An elementary, explicit, proof of the existence of Hilbert schemes of points
II. From PL to sheaf theory (Rock to Bach)
Compact moduli of plane curves
Re: limits of translates of plane curves
Hodge theory of the relative completion of fundamental groups of varieties
What is motivic measure?
Mixed motives and algebraic cycles II
Mixed motives and algebraic cycles III
Hodge structure on twisted cohomologies and twisted Riemann inequalities I
Einstein Complete Intersections in Complex Projective Space
Hilbert Functions of Points in Good Position in P^2
Rational Surfaces with K^2>0
Anticanonical Rational Surfaces
Birational Morphisms of rational Surfaces
Free Resolutions and Fat Points
Exceptional curves on rational numerically elliptic surfaces
The cohomology of the moduli space of curves
Galois groups of enumerative problems
Families of Algebraic Curves
Rational points on quartics
Spaces of rational curves
On the Kodaira Dimension of the Moduli Space of Curves
Severi degrees in cogenus 3
Varieties of small codimension in projective space
Morse theory and Stokes' theorem
Hardy-Littlewood circle method for forms in few variables
Diagrams associated to value-sets of differentials on plane branches
Notes on the duality of projective varieties
The Galois group of the tangency problem for plane curves
Varieties of strange plane curves
Residual intersection theory with reducible schemes
Virtual intersection numbers
The Schubert triangle geometry on an algebraic surface
Frobenius manifolds I
Frobenius manifolds II
Bernoulli moments of spectral numbers
Ideals of fiber type
Spontaneous Symmetry Breakdown without Massless Bosons
The First Betti Number of Branched Coverings, and the Fundamental Group of the Base Space
Branched Coverings of P^2
Thesis Abstract
Polynomial periodicity of Betti numbers of complex surfaces
Topology of line configurations
Topology of line configurations II
Torsion points on an algebraic subset of an affine torus
Alexander stratifications of character varieties
Multi-polynomial invariants for plane algebraic curves
Boundary manifolds of line arrangements
The Lehmer polynomial and pretzel knots
The Lehmer polynomial and pretzel knots
Lie algebras and representation theory
Hyperplane arrangements, 2-colored graphs, and knots
Resolution of singularities of an algebraic variety over a field of characteristic zero: I (incomplete)
Normal cones in analytic Whitney stratifications
Infinitely near singularities
Infinitely near singularities
Review on Infinitely near singularities
Resolution of singularities in positive characteristic
Complex cobordism and the elliptic genus
Cobordism
Riemann-Roch (work done in Princeton, 1952-4)
The projective tangent bundles of a complex three-fold
Komplexe elliptisce Geschlechter und S^1-aequivariante Kobordismustheorie
Linear ODE's
On the dual of a smooth variety
An embedding-obstruction for projective varieties
The geometric and numerical properties of duality in projective algebraic geometry
Geometry in small codimension
A combinatorial proof of the duality defect conjecture in codimension 2
Numerical Schubert calculus
On complete d-sequences and the defining ideals of Rees algebras
A d-dimensional extension of a lemma of Huneke's and formulas for the Hilbert coefficients
A modified Koszul complex and Hilbert coefficients
Powers of ideals having small analytic deviation
Rees algebras of ideals having small analytic deviation
Normal ideals in regular rings
Depth formulas for certain graded rings associated to an ideal
The Primary Components of and Integral Closures of Ideals in 3-Dimensional Regular Local Rings
Determinantal ideals of linear type
An Algebraist Commuting in Berkeley
Hyman Bass and ubiquity: Gorenstein rings
Residual intersections and the number of equations defining projective varieties
Residual multiplicities and residual intersections
Genus 1 enumerative invariants in P^n
Genus 1 enumerative invariants in P^n
Counting embedded curves in CY threefolds
Some boundedness of automorphisms on log-canonical singularities
The Nash problem on arc families of singularities
Three-dimensional quartics and counterexamples to the Lueroth problem
Counting rational curves on rational surfaces
Theta divisor of a generic abelian 4-fold
Rational curves on complete intersection 3-folds
Immersion and embedding of projective varieties
Algebraic geometry---Basic facts and definitions
Intersection numbers of divisors in graph varieties
The virtual number of D_/infty points II
The virtual number of D_/infty points I
Smoothing of rational surface singularities
Research Project
Constructible functions on Artin stacks
Cohomology of conformal algebras
Sur les groupes lineaires algebriques dont l'algebre des invariants est libre
On the homogeneous projective varieties with degenerate secants
On secants of adjoint varieties
Flat families of affine lines are affine-line bundles
Gauss-Manin connection for hyperplane arrangements
Curves of genus 2 with elliptic differentials
Chow Quotients of Grassmannians I.
Quotients of toric varieties
Higher order differentials and the period map
Vanishing cycle sheaves and holonomic systems of differential equations
B-Functions and holonomic systems
Noncommutative geometry and fundamental physical interactions: The Lagrangian level---Historical sketch and description of the present situation
Logarithmic structures of Fontaine-Illusie
Rationality of Moduli Variety of Curves of Genus 3
How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties
The regularity theorem in algebraic geometry
Arithmetically Cohen-Macaulay Curves cut out by Quadrics
Recent Work on Cremona Transformations
Formal Discriminants and Limits of Dual of Plane Curves
Tangents to a multiple plane curve
On the finiteness of rational curves on quintic threefolds
Rational curves on Calabi-Yau threefolds
Rational curves on Calabi-Yau manifolds: verifying predictions of Mirror Symmetry
Introduction to mirror symmetry
Toric geometry for mirror symmetry
Virasoro constraints on Gromov-Witten numbers
Gravitational potentials and gravitational quantum cohomology
Gorenstein Threefold Singularities with Small Resolution via Invariant Theory for Weyl Groups
Composition law and nodal genus-2 curves in P^2
A modular compactification of the general linear group
A note on the coSegre class of a subvariety
D-equivalence and K-equivalence
Characteristic classes of multisingularities, cobordisms, and enumerative geometry
Computation of Thom polynomials
Computation of Thom polynomials
Towards the intersection theory of Hurwitz spaces
Newton Polyhedra and the Bezout formula for matrix-valued functions of finite-dimensional representations
Characteristic classes of smooth fibrations
Fulton's conjectures on M0,n-bar
On the volume of hyperbolic polyhedra
The Dilogarithm and Volumes of Hyperbolic Polytopes
On the volumes of hyperbolic 5-orthoschemes and the Trilogarithm
On Schlaefli's reduction formula
On volumes of non-eucliedan polytopes
On the geometry of a theorem of Riemann
Cohomology of coherent sheaves on a proper scheme
Mathematical models for memetics
MacPherson's Chern Classes of Singular Algebraic Varieties
Specialization of MacPherson's Chern classes.
Tangent star cones and their Segre classes
Florida talk about tangent star cones and their Segre classes
Characteristic numbers of rational plane curves
Segre classes associated to tangent star cones of singular varieties
Stable lifts and their moduli spaces
Specialization of Segre classes of singular algebraic varieties
Natural transformations from constructible functions to homology
Maximally inflected real rational curves
Quantum cohomology of flag manifolds G/B and quantum Toda lattices
Equivariant quantum cohomology
Quantum D-modules for flag manifolds I
Quantum D-modules for flag manifolds II
On Givental's work in quantum cohomology I
On Givental's work in quantum cohomology II
On Givental's work in quantum cohomology III
A Barth-Lefschetz type theorem for branched coverings of Grassmannians
On branched coverings of quadrics
Two results on branched coverings of Grassmannians
Talk, MSRI, 3/23/1993
On the characterization of Alexander schemes
Operads of Moduli Spaces and Algebraic Structures in Conformal Field Theory
Homology of Moduli Spaces of Curves and Commutative Homotopy Algebras
On Operad Structures of Moduli Spaces and String Theory
The Cohomology of Algebras over Moduli Spaces
Representation spaces of Seifert fibered homology spheres
An SU(2) Gauge group for the solid torus
Moduli spaces of curves
Hurwitz Spaces and Braid Group Representations
Algebraic cycles and the Weil conjectures
Motives
The Development of Intersection Homology Theory
The Standard Conjectures
Multiple tangents of smooth plane curves (after Kaji)
Multiple-point formulas I: iteration
Multiple-point formulas II: The Hilbert Scheme
Intersection theory and enumerative geometry: A decade in review
Problem 15. Rigorous foundation of Schubert's enumerative calculus
Tangency and duality
A Generalized Teissier-Pluecker Formula
Gorenstein algebras, symmetric matrices, self-linked ideals, and symbolic powers
Applications of QH^* to enumerative geometry
Counting rational curves on quintic 3-folds
Nodal polynomials for curves on surfaces
6-nodal rational curves on the quintic 3-fold
Another proof of the existence of special divisors
The source double-point cycle of a finite map of codimension one
The multiple-point schemes of a finite curvilinear map of codimension one
On the inseparability of the Gauss map
Enumerative Geometry of cuspidal Plane Cubics
Enumerative Geometry of nodal Plane Cubics
Enumerative Geometry of nonsingular Plane Cubics
Complete Bilinear Forms
A geometric theory of the Buchsbaum-Rim multiplicity
Mixed Buchsbaum-Rim multiplicities
Sketch of a Verification of the Schubert's number 5819539783680 of twisted cubics
Verification of the Characteristic numbers of the twisted cubics
Finding and counting curves in 3-folds using Hilbert schemes
Chapter 1.
Belyi's theorem revisited
Conformal block monodromy of plane curve singularities
Elliptic KZ system, braid group of the torus, and Vassiliev invariants
Chern-Simons perturbative invariants
Elliptic KZ system, braid group of the torus, and Vassiliev invariants
Toward Moduli of Singular Varieties
Minimal models of algebraic threefolds: Mori's program
Sharp effective Nullstellensatz
Excess intersection on curves
Conics in the Grothendieck ring
Enumeration of rational curves via torus actions
Topics in algebra-deformation theory
Motivic Galois group and deformation quantization
Riemannian geometry and QFT
Automorphisms of the Weyl algebra
Gromov-Witten classes, quantum cohomology, and enumerative geometry
Gromov-Witten classes, quantum cohomology, and enumerative geometry (review by Salamon, D.)
Quantum cohomology of a product
Relations between the correlators of the topological sigma-model coupled to gravity
Human-competitive machine intelligence by means of genetic algorithms
Human-competitive machine intelligence by means of genetic algorithms
The computer program farsta
Some remarks on the structure of the associativity relations
Maximally unipotent monodromy
Canonical rational equivalence of intersections of divisors
Canonical rational equivalence of intersections of divisors
Cycle groups for Artin stacks
Intersection theory on Artin stacks
Intersection theory on DM stacks
Monopoles and contact structures
Embedded surfaces and gauge theory in three and four dimensions
The genus of embedded surfaces in the projective plane
Stratification theory
On parameters of a canonical form of a curve of genus three
Sur le transforme' de Nash et la construction du graphe de MacPherson
Flatness and fibred powers
Non-abelian monopoles on four-manifolds
Topological Quantum Field Theory: A Progress Report
Introduction to Hochschild/cyclic homology
Residual intersections and Todd's formula for the double locus of a morphism
Wronksians and Pluecker formulas for linear systems on curves
Transversality criteria in any characteristic
Determinantal criteria for transversality of morphisms
Local and global structure of effective and cuspidal loci on Grassmannians
Weierstrass points and gap sequences for families of curves
Weierstrass points on schemes
These are the differentials of order n
The algebra of jets
Wronski systems for families of local complete intersection curves
Magic squares, discriminants, etc.
Hyperbolicity and diophantine analysis
Representation theory and arithmetic
Motivic measures and stable birational geometry
Filtrations on Chow groups
Champs algebriques
Brill-Noether-Petri without degenerations
Excess intersection of divisors
Lectures on linear series
Some algebraic applications of vanishing theorems
Twistors
Topology of complex singularities
Geometry of normal singular surfaces
Topological structures of complex hypersurfaces of dim. 2
Polar curves and surface singularities
Varietes caracteristiques et varietes polaires
Introduction to linear differential systems
Varietes polaires locales et classes de Chern des varietes singulieres
Milnor classes for higher codimension locally complete intersections
A Chern-Weil theory for Milnor classes
Background on Chern-Weil theory (and Milnor classes)
Milnor classes via Chern-Weil
Residues of holomorphic vector fields relative to singular invariant subvarieties
Residues of holomorphic vector fields on singular varieties
On the index of a holomorphic vector field tangent to a singular variety
The Denef-Loeser series for toric surface singularities
Affine hypersurfaces with Gorenstein singular loci
Cloture integral des ideaux et equisingularite
he Denef-Loeser series for toric surface singularities
A generalization of Nori's theorem for elliptic curves
A general Pluecker formula
Algebraic cobordism
Algebraic cobordism
Uniqueness of the complex structure on Kaehler manifolds of certain homotopy types
Comparing topological invariants of mirror pairs
Hodge decomposition and Alexander invariants
Genera and Chern numbers
Topology of the complement and geometry of non-normal-crossings
Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations
The cotangent complex of a morphism
One Stuff (review of `The Elegant Universe, by B. Greene)
Topologies on algebraic cycles, Lawson homology, and the Abel-Jacobi map
On the Jacobian ideal of the module of differentials
Adjoints of ideals in regular local rings
Equimultiplicity, reduction, and blowing up
Introduction
Jacobian ideals and a theorem of Briancon-Skoda
The Milnor fiber as a virtual motive
Motivic integration and McKay correspondence
On the existence of components of the Hilbert scheme with the expected number of moduli
Noether-Lefschetz, space curves and Mathematical instantons
Cohomology of mapping class groups of genus 3 curves
On the genus 3 mapping class group and related groups
Cohomology of Mg
Motivic Igusa zeta-function
Coherent sheaves on configuration schemes
A new explicit finite free resolution of ideals generated by monomials in an R-sequence
On Landsberg's criterion for complete intersections
Elliptic genera of complete intersections
Chern classes of some MCM modules on x^m+y^n+z^2
Common tangents to four unit balls in R^3
Chern classes for singular algebraic varieties
Global questions in the topology of singular spaces
Singularities of vector bundle maps
The methods of algebraic geometry apply to which spaces?
Elementary construction of perverse sheaves (only 403-413)
Computations in QH^*
Computations in QH^*
Polynomes de Bernstein associes a plusieurs fonctions
D-modules sans pente relativement a plusieurs fonctions
Aspects of the theory of D-modules
Rapport sur les theoremes d'indice de Boutet de Monvel et Kashiwara
Seminaire: Operateurs differentiels et pseudodifferentiels/P>
Multiple self-intersection and Whitney stratifications
Lectures on the K-functor in algebraic geometry
Lectures on Zeta functions and motives
Generating functions in algebraic geometry and sums over trees
Mordell-Weil problem for cubic surfaces
Analogue of Birch-Sw. Dyer for Fano varieties
Quantum cohomology
Strings
Determinants of Laplacians on Riemann surfaces
Reflection on arithmetical physics
Two talks on mathematical physics ("Interrelations between mathematics and physics" and "Truth, rigor, and common sense")
Correspondences, motifs and monoidal transformations
Classical computing, quantum computing, and Shor's factoring algorithm
Analogs of elliptic curves and abelian varieties in noncommutative geometry
Georg Cantor and his heritage
Moduli spaces of painted curves
Moduli stacks \overline L_{g,S}
Moduli, Motives, Mirrors
Lectures on noncommutative geometry
Holography principle and arithmetic of algebraic curves
Invertible cohomological field theories and Weil-Petersson volumes
Lorentz bundles
Some remarks on conjugacy classes of bundle gauge groups
A Physicist's Computation
Index Theory
Witten's Gauge Theory.
Mathai-Quillen form and Euler numbers associated to a Gauge Theory
Notes on Seiberg-Witten gauge theory
Classical physics and quantum field theory
Statement
Curriculum Vitae et Studiorum
Seiberg-Witten-Floer homology and Heegaard splittings
Mathai-Quillen Forms and Mirror Quivers
Project description: Seiberg-Witten and Instanton Floer Homologies
18.901: problem sets in topology
Seiberg-Witten Gauge Theory
Seiberg-Witten invariants of 3-manifolds
Seiberg-Witten through the looking glass?
Topology, noncommutative geometry, and cosmology
Limiting modular symbols and the Lyapunov spectrum
Arakelov holography
Renormalization as Galois symmetry
Gauge Groups and Characteristic Classes
Discrete Subgroups and Ergodic Theory
Course on commutative algebra
Graded rings and modules
What's so good about codimension 2?
Explicit examples in algebraic geometry
Degrees of Generators of Ideals Defining Subschemes of Projective Space
Submodules of the Deficiency Modules and an Extension of Dubril's Theorem
Arithmetically Cohen-Macaulay curves in P^4 of degree 4 and genus 0
Numerical invariants of perverse sheaves
Notes on perverse sheaves and vanishing cycles
Critical points of functions on singular spaces
Perverse cohomology and the vanishing index theorem
Resolution of singularities and vanishing cycles
The derived category and vanishing cycles
Intersection cohomology and Milnor fibers
Integral restrictions on the monodromy
Notes on the inductive algorithm of resolution of singularities by Encinas and Villamayor
Lectures on factorization of birational maps (incomplete)
Algebraic geometric construction of a quantum stabilizer code
Alexander invariants of hypersurface complements
Definitions: operads, algebras and modules
A crash course in algebraic topology
What is a motive?
A characterization of centres via first integrals
Secant Planes of Space Curves
Complex monodromy and the topology of real algebraic sets
Algebraically constructible functions
Symplectic topology and capacities
Reversion of a system of power series
The rising sea: Grothendieck on simplicity and generality
Riemann Surfaces in Dynamics, Topology and Arithmetic
From surface diffeomorphisms to Fermat's Last Theorem
Billiards and Teichmueller curves on Hilbert modular surfaces
Common transversals and tangents to two lines and two quadrics in P^3
On Riemann-Roch Formulas for Multiplicities.
Power structures over K_0(V_C)
Chapter 1
Varietes caracteristiques de D-modules et singularites
The number of rational quartics on Calabi-Yau hypersurfaces in weighted projective space P(2,1^4)
Sur les algebres universelles
Torsion of differentials of affine quasi-homogeneous Hypersurfaces
Submodules of the deficiency module
On the Cohen-Macaulay Type of the General Hypersurface Section of a Curve
Ropes in Projective Space
A construction of codimension three arithmetically Gorenstein subscheme of projective space
Counting curves via lattice paths in polygons
Complex, real, and tropical curves
Monomial ideals and planar graphs
Chapter I, \S\S 2,3,4
The geometric realization of a semi-simplicial complex
Differential topology
Symmetric Bilinear Forms
Colorings of planar maps and residues of 1-forms
Integration: why you can and why you can't
The Picard group of the variety of plane cuspidal cubics of P^3
Geometry of Complete Cuspidal Cubics
Completing Hermann Schubert's work on the enumerative geometry of cuspidal cubics in P^3
Hypercohomology Spectra and Thomason's descent theorem (15--36)
On the Chern Number of Surfaces of General Type
Notes on Homological algebra
Linear free divisors and Lie groups
A Theory of Polyhedra
Pick's Theorem and the Todd class of a toric variety
Bezout's theorem for quantum P^2
Projective manifolds with ample tangent bundles
The Logarithmic HLS Inequality and Zeta Functions on S^2
Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
Picard-Fuchs equations and mirror maps for hypersurfaces
Mirror symmetry for K3
The structure of Calabi-Yau moduli spaces
Quantum algebraic geometry - a prospectus
Hodge theory and nonlinear sigma models
The unreasonable effectiveness of physics in discovering new mathematics
Beyond the Kaehler cone
Beyond the Kaehler cone
Stack theory and applications
Smooth Embeddings of SL(2) and PGL(2)
The Chow rings of smooth complete SL(2)-embeddings
Toward FLT
Applications of the Monopole invariants to contact structures
Spectral geometry of linear ordinary differential operators
The red book
Towards an Enumerative Geometry of the Moduli Space of curves
Neuronal architectures for pattern-theoretic problems
Algebraic cycles and algebraic aspects of cohomology and K-theory
La teoria algebraica de los sistemas diferenciales lineales
The local duality theorem in D-module theory
McKay correspondence-crepant resolution of quotient singularities and group representations
Naturality of Stiefel-Whitney homology classes
Intersection theory and diophantine approximation
Euler characteristics of theta divisors of Jacobians for spectral curves
Topology and Physics---a historical essay
Sur les multiplicites de Schubert locales des faisceaux algebriques coherents
Signature of series of singularities
On the spectrum of curve singularities
Classification of rational cuspidal projective curves
Langlands duality and the quantum Calogero-Moser system
Invariant theory
Introduction to Groebner bases
Introduction and overview
Informal introduction to Quantum Mechanics
Hardy-Littlewood theorems for A-Harmonic tensors
Fulton-MacPherson bivariant theory and string topology
Lie theory of 2-groups
Riemann-Roch via Adams operations with support
Moving lemma and refined Chern classes
On the intersection multiplicity of images under an etale morphism
The hodge structure of the intersection of three quadrics in an odd dimensional projective space
On the Picard group of the moduli space for K-3 surfaces
A Thom-Sebastiani-type formula for the Milnor class
Product formuals of the Milnor class
An affirmative answer to a question of Ciliberto
On degenerate secant varieties which have the smallest contact loci with their tangent spaces
On odd dimensional projective manifolds with smallest secant varieties
On dual curves and dual singularities
Geometry of cuspidal sextics and a new Zariski pair
Classification of sextics of torus type
Zariski pairs in sextics
Mixed projective curves and applications
Seiberg-Witten invariants for manifolds with b_+=1
Gromov-Witten theory of target curves I
An aspect of harmony in music of Johann Sebastian Bach
Moduli spaces of stable quotients
Arrangements and hypergeometric integrals
Computing invariants of hypersurface singularities
Intersection of Q-divisors on Kontsevich's moduli space and enumerative geometry
Notes on Kontsevich's compactification of the space of maps.
A note on elliptic plane curves with fixed j-invariant
Canonical class of Mbar_0,n(P^r,d)
The canonical class of Mbar_0,n(P^r,d) and enumerative geometry
The Chow ring of the non-linear Grassmannian
Chow rings of Hilbert schemes of rational normal curves
The symmetric function h^0(M_0,n,L_1^x1\otimes\dots\otimes L_n^xn)
The equivariant Chow ring of SO(4)
Small quantum cohomology of Grassmannians
The quantum cohomology of blow-ups
Solutions of differential equations and equivariant QH^*
Quantum differential equations and equivariant QH^* II
Quantum differential equations I
Quantum differential equations II
A geometric construction of Getzler's relation in Mbar_1,4
GW-invariants and enumerative geometry
Hodge integrals and degenerate contributions
Three questions in Gromov-Witten theory
Moduli spaces of curves and combinatorial models
Moduli spaces of maps and GW theory
Gromov-Witten theory of target curves II
Higher non-abelian Hodge theory I
Milnor invariants for hyperplane arrangements
Intersection subgroups of complex hyperplane arrangements
Euler characteristic and Dimca-Nemethi formula
Multiplicity of the dual variety
A Generalization of the Milnor Number
Limits of tangent spaces to fibres and the wf condition
Characteristic cycles, I
More on characteristic cycles
Recent results on blow-analytic equivalence of analytic function germs
Euler characteristic of degeneracy loci I; the general holomorphic map case
Euler characteristic of degeneracy loci II; the nongeneral hypersurface case
Characteristic numbers of degeneracy loci
A formula for the Euler characteristic of singular hypersurfaces
Chern-Schwartz-MacPherson classes and the Euler characteristic of degeneracy loci and special divisors
Characteristic classes of hypersurfaces and characteristic cycles
Submanifolds with ample normal bundles and a conjecture of Hartshorne
A secant formula
Determinantal quartics in P^4 with nodes
Deformations of instanton surfaces
Localisation of the Donaldson's invariant along Seiberg-Witten classes
Cycles polaires et classes de Chern pour les varietes projectives singulieres
Cycles polaires et classes de Chern pour les varietes projectives singulieres
Polar classes of singular varieties
Cuspidal projections of space curves
Ideals associated to a desingularization
On the problem of enumerating twisted cubics
A proof of Noether's formula for the arithmetic genus of an algebraic surface
Some formulas for a surface in P^3
Projective algebraic geometry in positive characteristic
On the enumeration of algebraic curves -- from circles to instantons
ACM-curves of degree 4 and genus 0 in P^4
Node polynomials for families: algorithm and example
A geometric approach to the arithmetic genus of a projective manifold of dimension three
On pencils foplane curves at infinity
Chern character of degeneracy loci and curves of special divisors
Curves on generic Kummer varieties
The base number theorem for abelian varieties (an infinitesimal approach)
Algebraic curves and stable minimal surfaces
Todd class of Toric Varieties
The Grothendieck ring of varieties is not a domain
Enumerative geometry of degeneracy loci
Geometric applications of symmetric polynomials; some recent developments
Characteristic classes of hypersurfaces and characteristic cycles
Characteristic classes of hypersurfaces and characteristic cycles
Characteristic classes of singular varieties
Notes on the life and work of Alexander Grothendieck
Diagonal subschemes and vector bundles
Thom polynomials
Pieri for isotropic Grassmannians; the operator approach
Polynomials homologically supported on determinantal loci
A Pieri-type theorem for Lagrangian and odd Orthogonal Grassmannians
Formulas for Lagrangian and orthogonal degeneraci loci; Q-polynomial approach
Semistable rank-2 bundles over an algebraic curve
Ueber lineare Faserraeume und schwach negative holomorphe Geradenbuendel
How to make canonical compactification wonderful
Nullstellensatz for tropical geometry and amoebas
Higher algebraic K-theory: I
Superconnections and the Chern character
Extremal Riemann Surfaces
About Grothendieck's Dessins
Systoles of Two Extremal Riemann Surfaces
Quantum mechanics: the hydrogen atom, I
Quantum mechanics: the hydrogen atom, II
Fermat's Last Theorem in Combinatorial Form
Albanese and Picard 1-motives
Integral motives and special values of zeta functions
On nodal plane curves
Enumerative geometry of singular plane curves
Splitting of Rank-2 Bundles on P^5
On the quantum cohomology of the plane
Curves on quadrics
Geometry on nodal curves
Arrangements and the knot configuration space
Higher Abel-Jacobi maps and filtrations on Chow groups
The problem of Nash and theproblem of wedges and arcs on surfaces
Chapters on Algebraic Surfaces
p.281-285
p.346-353
La correspondence de McKay
First steps in tropical geometry
Thom polynomials for quivers
A stratification of the dual variety
Old and New Results About the Triangle Varieties
Enumerative geometry of triangles, III
On the vanishing of intersection multiplicities of perfect complexes
Local Chern Characters and Intersection Multiplicities
The Homological Conjectures
Intersection theorems
Intersection multiplicities and dimension inequalities
On a variation of Hodge structure arising from am equisingular family of CY 3-folds
Conical sextuplets
Les groupes de Chow de quelques schemas qui parametrisent des point coplanaires
Sulle algebre di Rees e simmetrica di un ideale
On the Foundations of Combinatorial Thoery I. Theory of Moebius Functions
The affine stratification number and the moduli space of curves
Part I: Relativistic foundations
Virtual neighborhood and Monopole equation
Reduzibilitaet ebener Kurven
Associated Primes and the Associated Graded Ring
When is an Abelian Surface Isomorphic or Isogenous to a Product of Elliptic Curves?
Kettenbrueche
Der Ring der Adele
Analitische Zahlentheorie --- Einfuehrung
On Finding and Cancelling Variables in k[X,Y,Z]
Degrees of stability: a stratification of the moduli space of stable vector bundles on curves
An extension to Hadamard global inverse function theorem in the plane
Quelques remarques sur la theorie des classes de Chern des espaces analytiques singuliers.
Espaces Conormaux Bivariants
Quelques remarques sur la geometrie des espaces conormaux.
Theorie de Hodge des applications algebriques (d'apres Cataldo et Migliorini)
Finiteness results for knots and singularities
The k-consecutive arrangements
Elliptic root systems and elliptic L-functions
The polyhedron dual to the Coxeter arrangement
Multiplier ideals, b-functions, and spectrum
Sur l'histoire du quinzieme probleme de Hilbert
A new theorem of desingularization over fields of characteristic zero
On the Forster-Eisenbud-Evans Conjectures
On linear planes
On planar curves
Generalized Newton-Puiseux Expansion and Abhyankar-Moh Semigroup Theorem
Polynomial Ring in Two Variables Over a D.V.R.: A Criterion
Degree-semigroups of plane algebraic curves
Categories and homological algebra
Hyperplane arrangements and free resolutions
Riemann surfaces with shortest geodesic of maximal length
Hodge structures and non-representability of Chow groups
Varieties dominated by product varieties
Classical motives
Eine Vervollstaendigung der Chowvarietaet der Punktetripel
Erster, Zw., Dr. Abschnitt
Some remarks on characteristic classes of Lagrangian cycles (preliminary version)
A short proof of a formula of Brasselet, Le and Seade for the Euler obstruction
Overview of Schuermann's work
Thom-Sebastiani theory for constructible sheaves
On the Lagrangian approach to characteristic classes of singular spaces
Introduction to stratified Morse theory for constructible sheaves
A general intersection formula for Lagrangian cycles
A generalized Verdier-type Riemann-Roch theorem for Chern-Schwartz-MacPherson classes
Five lectures on characteristic classes of singular varieties
Introduction
Morse theory for constructible sheaves
A general construction of partial Grothendieck transformations
Motivic CSM
Hirzebruch classes, motivic Chern classes for singular varieties
Lectures on Characteristic Classes of Constructible Functions
Lectures on characteristic classes
Chapters 1 through 7
The Albanese variety of a singular surface
Recent work on the Euler obstruction
Residues and topological invariants of singular holomorphic foliations
An adjunction formula for local complete intersections
Geometry upon an algebraic variety
Computing on Riemann Surfaces
Moduli spaces of Real Algebraic Curves and real structures on Teichmueller spaces
Real structures of Teichmueller space, Dehn twists, and moduli spaces of real curves
Teichmueller spaces
Foliation and quadratic differentials on Riemann surfaces
Myrberg's numerical uniformization of hyperelliptic curves
Faisceaux Algebriques Coherents
Geometrie algebrique et geometrie analitique
Facteurs locaux des fonctions zeta des varietes algebriques
Motifs
Appunti sui divisori speciali
Generic singularities of holomorphic foliations
Decomposition of regular matroids (part)
Singularities, lattice points and integration
Curvature integrals and Chern classes of singular varieties
Virtual fundamental classes, global normal cones and Fulton's canonical classes
Affine and logarithmic geometry in mirror symmetry
Zeta function of the monodromy transformation
Points of Finite Order on Abelian Varieties
On a conjecture of Varchenko
The syzygies of the conormal module
Hodge theory and homotopy
Sur la cloture integrale d'un ideal de germes de fonctions holomorphes en un point de C^n
Tangent cones to discriminants loci for families of hypersurfaces
On the geometry of two dimensional Prym varieties
Singularities of logarithmic foliations and connectedness of the union of logarithmic components
Deformations of algebras and categories
Mirror symmetry constructions
Talk, MSRI 3/24/1993
Some real and unreal enumerative geometry
Real lines tangent to 2n-2 quadrics in R^n
Real k-flats tangent to quadrics in R^n
A constructive approach to commutative ring theory
Limits of conormal schemes
Enumerating Contacts
Transversality theorems for families of maps
Enumerative geometry of cubics
Tropical Mathematics
excerpts from "Sandwiched singularities and desingularization of surfaces by normalized Nash transformations"
The Hodge characteristic
A new construction of a surface of degree 5 having 31 nodes
The distance enumerator of a hyperplane arrangement
From operads to `physically' inspired theories
The pre-history of operads
Hodge theory: analysis or geometry?
Semicontinuity of the singularity spectrum
Logarithmic Hodge Theory
Beruehrungsvervollstaendigung fuer ebene Kurven dritter Ordnung. I. Die Punkt-Linien-Kurven dritter Ordnung und sechster Klasse
Beruehrungsvervollstaendigung fuer ebene Kurven dritter Ordnung. II. Konstruktion einer Vervollstaendigung durch Aufblasungen
Beruehrungsvervollstaendigung fuer ebene Kurven dritter Ordnung. III. Schnittzahlen und Relationen auf der Vervollstaendigung
Beruehrungsvervollstaendigung fuer ebene Kurven dritter Ordnung. IV. Beruehrungsbedingungen
Letter, May 25 1988
Complete cubics in enumerative geometry
On the versal deformation of cyclic quotient singularities
Poincare series and zeta function for an irreducible plane curve singularity
Fundamental group of curves in positive characteristic
Computational Algebraic Geometry
Ideals associated to Bayesian networks
Wavelets for computer graphics: a primer, part 1+2
A quintic Hypersurface in P^4 with 130 Nodes
Grassmannians: nontoric mirrors?
A characterization of complete intersection curves in P^3
The toric Hilbert scheme
Combinatorics and topology of complements of planes in R^4
Combinatorial invariants of analytic spaces
Classes de Chern d'une intersection complete locale
Characteristic classes of coherent sheaves on singular varieties
Characteristic classes of coherent sheaves on singular varieties
Characteristic classes of coherent sheaves on singular varieties
Summary of BLSS
Localization of characteristic classes and applications
Residues of Chern classes
Lectures on characteristic classes
Singular holomorphic distributions and Atiyah classes
An outline of Hodge theory
Seiberg-Witten invariants and simple type conditions
Bernoulli polynomials
Algebraic K-theory of schemes
Fourier Analysis in Number Fields and Hecke's Zeta-Functions
The Seiberg-Witten invariants and symplectic forms
The Seiberg-Witten and the Gromov Invariants
SW => Gr From the Seiberg-Witten equations to pseudo-holomorphic curves
Seiberg-Witten and Gromov invariants
Penrose tilings, chaotic dynamical systems and algebraic K-theory
The reduced Bautin index of a planar vector field
Multiscale curvature concentration in Milnor fibers
Resolution of binomial varieties
Non-degeneracy
Projectively dual varieties
Sulle Vk per cui la varieta' degli Sh (h+1)-seganti ha dimensione minore dell'ordinario
Anti-invariant differential forms and logarithmic forms of Coxeter arrangements
Euler classes of Fredholm bundles
Complete quadrics revisited
A survey of Floer homology
Equivariant Gromov-Witten invariants and symmetric products of a curve
How to realize a given number of tangents to four unit balls in R^3
An enumerative geometry framework for algorithmic line problems in R^3
Cycle-level intersection theory for toric varieties
Algebraic shifting
Basic quantum cohomology
Construction of moduli spaces
Talk, FSU, 10/22/93
Parameter spaces for quadrics
Generalized Teissier-Pluecker Formula
The Teissier-Pluecker Formula
The generalized Teissier-Pluecker Formula
How did the camera move?
How did the camera move?
G-theory of algebraic stacks
Non-abelian cohomology
Higher non-abelian Hodge theory II
What you always wanted to know about genetic algorithms but were afraid to ask
On a condition for the fundamental group of the complement to a plane curve to be non-abelian
A new proof of the existence of Kaehler-Einstein metrics on K3, I
A new proof of the existence of Kaehler-Einstein metrics on K3, II
Chern numbers of universal models, and elliptic genera
The transfer in Chow rings of classifying spaces
Chern numbers for singular varieties and elliptic homology
Topology of smooth divisors
Topology of singular algebraic varieties
Chow groups, Chow cohomology, and linear varieties
Macaulay's Theorem and Local Torelli for Weighted Hypersurfaces
Donaldson polynomials
Behavior of multiplier ideals in positive characteristic
On unbounded representations of *-algebras
Informal discussion on elliptic fibrations
Bemerkung zur vollstaendigen Darstellung algebraischer Raumcurven
A note on the Hilbert scheme of twisted cubics
Talk, MSRI, 4/28/1993
Enumeration of n-fold tangent hyperplanes to a surface
Conics 5-fold tangent to a plane curve
Singularities of logarithmic foliations
Elliptic curves in P^n
Characteristic numbers of rational and elliptic plane curves
Covers of the sphere and the moduli space of curves
Characteristic classes and monoidal transformations
Extension of valuations and Newton polyhedron
Verlinde algebras and monodromy groups
Linear algebra and algebraic K-theory
Introduction to algebraic K-theory
Knot invariants and singularity theory,/P>
Specialisation des classes de Chern
Geometrie microlocale
The Chow ring of the classifying stack of PGL_3
On the possible poles of topological and related zeta functions
Are principal value integrals birational invariants?
Stiefel-Whitney classes and ramified covers
Intersection homology D-module on local complete intersections with isolated singularities
Some integral calculus based on Euler characteristic
Some integral calculus based on Euler characteristic (review by Silhol, R.)
The number of reducible hypersurfaces in a pencil
Kontsevich stalks
Topological stacks
Twisted curves and logarithmic structures
Sheaes in Grothendieck topologies
Tesselation of surfaces and 3-manifolds
Composantes de petite codimension du lieu de Noether-Lefschetz
Homotopy theory of algebraic varieties or A1-homotopy theory
Theoreme de Torelli pour les cubiques de P^5
Une precision concernant le theoreme de Noether
Une remarque sur l'invariant infinitesimal des fonctions normales
Courbes tetragonales et cohomologie de Koszul
Symetrie miroir
The algebra of flows in graphs
Fourteen proofs of a results about tiling a rectangle
KO-theory for coherent sheaves
Etale slices and variations of GIT quotients
On the chromatic number of binary matroids
K-equivalence in birational geometry
Local Hard Lefschetz for singular varieties
Pure homology of singular varieties
A road map of motivic homotopy and homology theory
review of "Cycles, transfers, and motivic homology theories", by Voevodsky et al.
The affine classification of cubic curves
The topological classification of cubic curves
A note on Resultants
Topological equivalence of real binary forms
Intersection homology and characteristic classes for singular manifolds
Quantum Yang-Baxter Equations and Quantum Groups
Generating absolute prime ideals
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
Two-dimensional gravity and intersection theory on moduli space (review by Rosenberg, S.)
Monopoles and four-manifolds
Duality in supersymmetric gauge theories (In three formats: raw notes from the talks; photocopies of transparancies; typeset version integrating the other two)
Simple Hironaka resolution in characteristic zero
On the Jacobian conjecture
Formal inverse expansion and the Jacobian conjecture
The tree formulas for reversion of power seires
Two Dimensional Cremona Groups Acting on Simplicial Complexes
The Jacobian conjecture
Chern classes and degenerations of hypersurfaces and their lines
Degenerations and limit configurations
Limiting algebraic cycles
On limiting rational curves
Residual intersections and some applications
Limiting linear subspaces on non-reduced schemes
Limiting linear subspaces on non-reduced schemes
Refined intersection products and limiting linear subspaces of hypersurfaces
Subvarieties of generic hypersurfaces in P^n
On the Intersection of Rational Curves with Cubic Plane Curves
Birational aspects of moduli of stable sheaves on a surface
Decomposition of the Hochschild Complex of a scheme
On a Verdier-type Riemann-Roch for Chern-Schwartz-MacPherson class
Bivariant constructible functions-some problems
Product formuals for Milnor classes
Milnor classes viewed from a bivariant-theoretic viewpoint
A `Q-analogue' Chern-Schwartz-MacPherson class (became: "On a naturality of Chern-Mather classes")
An application of bivariant theory to Milnor classes
Verdier-Riemann-Roch for Chern class and Milnor class
Bivariant theories of constructible functions and Grothendieck transformations
Semi-bivariant Chern classes
Bivariant Chern classes for morphisms with nonsingular target varieties
Oriented bivariant theories, I
Intersection numbers of twisted cocycles
Cohomology of the Orlik-Solomon algebras and local systems
Sum of squares of reciprocals of the positive integers
A one-sentence proof that every prime p=1 (mod 4) is a sum of two squares
Introduction to Modular Forms
Representation theory of finite groups
Modular forms, quantum modular forms, 3 manifolds
A simplified proof for the resolution of singularities of an algebraic surface
The compactness of the Riemann manifold of an abstract field of algebraic functions
The Moebius Function and the Characteristic Polynomial
Equations de quartiques dont une partie se reduit a une droite double
Determination des caracteristiques des systemes elementaires de cubiques. Cubiques douee d'un point cuspidal.
Determination des caracteristiques des systemes elementaires de cubiques. Cubiques douee d'un point double.
Determination des caracteristiques des systemes elementaires de cubiques. Cubiques generales.
Resultats d'une recherche des caracteristiques de systemes elementaires de quartiques
Almindelige Egenskaber ved Systemer af plane Kurver
Morphisme cellulaire et classes de Chern bivariantes
La tour de Teichmueller-Grothendieck
Rappels succints sur les champs algebriques