Recent FSU Mathematics PhDs

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Fall 2023	Yijia Zhou	Applied and Computational Math	Adrian Barbu and Kyle Gallivan	Scalable Clustering: Large Scale Unsupervised Learning of Gaussian Mixture Models with Outliers
Summer 2023	Abdullah Aurko	Applied and Computational Math	Justin Cole and Ziad Musslimani	Instabilities in Nonlinear Schrodinger Equations: Classical and Neural Network Approaches
	Fan Bai	Biomath	Richard Bertram and Bhargav Karamched	Neuronal Development: From Polarization to Axonal Growth
	Anindya Chanda	Pure Math	Sergio Fenley	Quasigeodesic Behavior of Anosov Flows: A Bridge Between Dynamics and Large Scale Geometry
	Hui (Alyssa) Duan	Financial Math	Giray Okten	Computational Methods for Estimating Global Sensitivity Indices and Shapley Values
	Hung Duong	Financial Math	Arash Fahim and Michael Mascagni	Solving High-Dimensional Fully Nonlinear Convex Partial Differential Equations Using Deep Learning
	Yuxiu Lu	Pure Math	Martin Bauer	The $L^p$-Fisher-Rao metric and information geometry
	Julia Ream	Applied and Computational Math	Marc Henry de Frahan and Mark Sussman	Large Eddy Simulations to Investigate the Fundamental Flow Physics of Supercritical Carbon Dioxide Turbulent Jets
	Hui Sun	Financial Math	Feng Bao	Stochastic Optimal Control Through Gradient Projection Method and Backward Action Learning
	Meng Wei	Applied and Computational Math	Kyle Gallivan and Wen Huang	Solving Clustering Problems Using Riemannian Optimization
	Zezhong Zhang	Financial Math	Feng Bao	Mathematical Study on the Expressive Power of Machine Learning and Applications in Optimal Filtering Problems
Spring 2023	Austin Anderson	Pure Math	Alexander Reznikov	Asymptotics of Certain Short-Range Interactions on Rectifiable Sets and Beyond
	Shreya Bose	Financial Math	Ibrahim Ekren	Risk aversion in Kyle-Back models
	Sathyanarayanan Chandramouli	Applied and Computational Math	Ziad Musslimani	Nonlinear wave propagation in non-Hermitian media: theory and computation
	Angelica Davenport	Biomath	Nicholas Cogan	Mathematical Models of Triple-Negative Breast Cancer and HIV: Methods to Inform Treatment Regimens in Preclinical and Clinical Settings
	Samuel Dent	Applied and Computational Math	Aseel Farhat	Analytical Study of Feedback Control Data Assimilation Algorithms for Ocean Models
	Brad Mostowski	Financial Math	Ibrahim Ekren	Stochastic Liquidity in the Kyle-Back Model
	Virginia Parkman	Biomath	Nicholas Cogan	Optimal Control Applied to a Canine Distemper Outbreak Modeled in an Animal Shelter
	Edward (Alex) White	Pure Math	Alexander Reznikov	Polarization and Covering on Sets of Low Smoothness: Studying Short Range Repulsive Points by Asymptotic Behavior
Fall 2022	Mehran Fazli	Biomath	Richard Bertram	Modeling and Multi-Time Scale Analysis of Endocrine Cells: From Single Cell Excitability to Network Synchronization
Summer 2022	Mehdi (Soheil) Abdi Anbouhi	Pure Math	Washington Mio	Universal Mappings and the Metric Geometry of Functional Data
	Jinglun Cai	Financial Math	Alec Kercheval and Xiuwen Liu	Two Topics in Deep Learning Based Dialogue Systems
Spring 2022	Yiran Chen	Applied & Computational Math	Giray Okten	Simulation and Goodness-of-Fit Tests of Copulas
	Zishi Feng	Financial Math	Brian Ewald and Ziad Musslimani	A dynamic renormalization approach for solving stochastic differential equations
	Haixu Wang	Applied & Computational Math	Ling Zhu	A Discrete-Time Self- and Mutual-exciting Models
	Yi Zhou	Pure Math	Mark van Hoeij	Algorithms for Factoring Linear Recurrence Operators
Fall 2021	Hubeyb Gurdogan	Financial Math	Alec Kercheval	Eigenvector Shrinkage for Estimating Covariance Matrices
	Benjamin Prather	Pure Math	Mark van Hoeij	Octonions - Hilbert Spaces, Fibrations and Analysis
Summer 2021	Joshua Kimrey	Biomath	Richard Bertram	Geometric Singular Perturbation Analysis of Early Afterdepolarizations in Cardiac Myocytes: Canard Analysis of Cardiac Action Potential Models
	Tarak Shisode	Applied & Computational Math	Washington Mio and Jinfeng Zhang	Improving the accuracy of 3D chromosome structure inference and analyzing the organization of genome in early embryogenesis using single cell Hi-C data
	Xiaoyu Wang	Financial Math	Ling Zhu	Langevin Algorithms in Data Science
Spring 2021	Hua Huang	Applied & Computational Math	Adrian Barbu and Kyle Gallivan	Robust machine learning and the application to lane change decision making prediction
Fall 2020	Shayea Waqaian Aldossari	Pure Math	Mark van Hoeij	Algorithms for Simplifying Differential Equations
	Peng Diao	Applied & Computational Math	M. Yousuff Hussaini Mark Sussman	Parareal Algorithm Applied to the Stefan Problem
	Yeuran Oh	Biomath	Richard Bertram	Islet Synchronization in a Hybrid Experimental and Mathematical System
Summer 2020	Orhan Akal	Applied & Computational Math	Adrian Barbu	Learning Chan-Vese
	John Henry Bergschneider	Pure Math	Wolfgang Heil	2-Stratifolds with Finite Fundamental Group
	Patrick Eastham	Biomath	Nick Moore Nick Cogan	A Novel Model for Precipitation Reactions in Microfluidic Devices
	Lydia Parker Marie Eldredge	Pure Math	Kathleen Petersen	Minimal Mahler Measure in Cubic Fields
	Jamie Fox	Financial Math	Giray Okten	Applications of Polynomial Chaos to Monte Carlo Simulation
	Yangzi Guo	Applied & Computational Math	Adrian Barbu	A Study of Feature Interactions and Pruning on Neural Networks
	Opal Jane Graham	Pure Math	Philip Bowers	Rigidity of Point and Sphere Configurations
	Haibin Hang	Pure Math	Washington Mio	A New Formulation of 1-D Persistent Homology Via Correspondence Modules
	Yang Liu	Applied & Computational Math	Mark Sussman M. Yousuff Hussaini	A Novel Numerical Method for Resolving Micro-Structure Based on Supermesh for Multi-Material Systems
	Zhiqiu Li	Applied & Computational Math	Lingjiong Zhu	Option Pricing for An Affine Jump-Diffusion Model
	Matthew McCurdy	Applied & Computational Math	Nick Moore Xiaoming Wang	Convection in Coupled Fluid-Porous Media Systems: A Tale of Two Fluids
	Michael Niemeier	Pure Math	Ettore Aldrovandi	Central Extensions of Simplicial Groups and Presheaves of Simplicial Groups
	Deniz Ozturk	Biomath	Nick Cogan	Dynamics of Reversible and Irreversible Fouling and Optimal Control Analysis of Backwashing Timing for Hollow Fiber Microfiltration
	Arun Kumar Polala	Financial Math	Giray Okten	Multilevel Monte Carlo and Debiased Monte Carlo Methods in Financial Engineering
	Zhe Su	Pure Math	Eric Klassen Martin Bauer	Elastic Shape Analysis of Curves and Surfaces
	Kangwei Xing	Financial Math	Arash Fahim	Model-Independent Superhedging with Portfolio Constraints in Continuous Time under Weak S topology
	Canlin Zhang	Biomath	Xiuwen Liu Richard Bertram	Natural Language Processing by Deep Neural Networks
Spring 2020	Grayson Jorgenson	Pure Math	Paolo Aluffi	Secant Indices, Duality Defect, and Generalizations of the Segre Zeta Function
	Heting Yan	Financial Math	Alec Kercheval	Deep Learning for Limit Order Book Trading and Mid-Price Movement
	Thanittha Kowan	Pure Math	Philip Bowers	Conformal Tilings and Expansion Complexes
Fall 2019	Antigoni Georgiadou	Applied & Computational Math	Mark Sussman Tomas Plewa	Global Optimization in Stellar Evolution Applications
	Feifan Liu	Applied & Computational Math	Mark Sussman	Novel Numerical Analysis Methods, Using the WENO and WENO-Z Algorithms, for Combining Observational Data with Model Predictions for Improving Forecasts
Summer 2019	Johnna Pauline Barnaby	Biomath	Harsh Jain	Mathematical Models of Prostate Cancer Progression and Response to Treatment
	Carolyn Marie Eady	Biomath	Nick Cogan	On the Use of Conformal Mappings, Invariants and Warpings in Investigations of the Cortical Surface
	Inmaculada Concepcion Sorribes Rodriguez	Biomath	Harsh Jain	Gliomas Diagnosis, Progression and Treatment: A Mathematical Approach
	Matthew Crawford Villemarette	Applied & Computational Math	Mark Sussman	Second Order Discrete Maximum Preserving Finite Difference and Finite Element Methods for Nonlinear Parabolic Equations
Spring 2019	Manu Aggarwal	Biomath	Nick Cogan	Mathematical Modeling and Sensitivity Analysis for Biological Systems
	Andrey Igorevich Manakov	Financial Math	Jerry Magnan	Construction of a General Trading Approach for Financial Markets with Artificial Neural Networks
	Mohammad Aamir Rasheed	Pure Math	Wolfgang Heil	Surface Subgroups of 3-Manifold Groups
	Seyyed Navid Salehy	Financial Math	Alec Kercheval	Random Walks Over Point Processes and their Application in Finance
	Seyyed Nima Salehy	Financial Math	Giray Okten	Belief Function Theory: Monte Carlo Methods and Applications to Stock Markets
	Ryan Michael Vinson	Biomath	Richard Bertram	Modelling the Synchronous Behavior of Pancreatic Islets

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Fall 2018	Zailei Cheng	Applied & Computational Math	Lingjiong Zhu	Diffusion Approximation of a Risk Model
Summer 2018	Nihan Acar	Biomath	Nick Cogan	Exploration of the Role of Disinfection Timing, Duration, and Other Control Parameters on Bacterial Populations Using a Mathematical Model
	Gitesh Dawer	Applied & Computational Math	Adrian Barbu	Neural Rule Ensembles: Encoding Feature Interactions into Neural Networks
	Yaqing You	Applied & Computational Math	Kyle Gallivan	A Riemannian approach for computing geodesics in elastic shape space and its applications
	Xinru Yuan	Applied & Computational Math	Kyle Gallivan Pierre-Antoine Absil	Riemannian Optimization Methods for Averaging Symmetric Positive Definite Matrices
Spring 2018	Serdar Cellat	Biomath	Washington Mio Giray Okten	Metric Learning for Shape Classification: A Fast and Efficient Approach with Monte Carlo Methods
	Atanaska Zapryanova Dobreva	Biomath	Nick Cogan	Using Mathematical Tools to Investigate the Autoimmune Hair Loss Disease Alopecia Areata
	Sepideh Ebadi	Biomath	Nick Cogan	Evolutionary Dynamics of Bacterial Persistence Under Nutrient/ Antibiotic Actions
	Daniel Eduardo Galvis	Biomath	Richard Bertram	Distributed Neural Network Models for Birdsong Production
	Matthew Charles Hancock	Applied & Computational Math	Jerry Magnan	Algorithmic Lung Nodule Analysis in Chest Tomography Images: Lung Nodule Malignancy Likelihood Prediction and A Statistical Extension of the Level Set Image Segmentation Method
	Hua-Yi Lin	Financial Math	Arash Fahim	Optimal Portfolio Execution Under Time-Varying Liquidity Constraints
	Yaineli Valdes	Pure Math	Ettore Aldrovandi	The 1-Type of K-Theory for a Waldhausen Category as a Multifunctor
	Ethan Randy Williams	Pure Math	Richard Oberlin	Affine Dimension of Smooth Curves and Surfaces
	Xiping Zhang	Pure Math	Paolo Aluffi	Characteristic Classes and Local Invariants on Determinantal Varieties (Temperate)

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Fall 2017	Jian Li	Biomath	Nick Cogan	Modeling of Biofilms with Implementations
	Wan-Yu Tsai	Financial Math	Arash Fahim	Monte Carlo Scheme For A Singular Control Problem: Investment-Consumption Under Proportional Transaction Costs
	Sergiusz Jan Wesolowski	Biomath	Richard Bertram Wei Wu	Developing SRSF Shape Analysis Techniques for Applications in Neuroscience and Genomics
	Wen Xu	Pure Math	Mark van Hoeij	Third Order $A$-Hypergeometric Functions
	Melissa Sue Marchand	Applied & Computational Math	Kyle Gallivan Paul Van Dooren	Low-rank Riemannian Optimization Approach to the Role Extraction Problem
Summer 2017	Chaoxu Pei	Applied & Computational Math	Mark Sussman M. Yousuff Hussaini	Space-Time Spectral Element Methods in Fluid Dynamics and Materials Science
	Erdal Imamoglu	Pure Math	Mark van Hoeij	Algorithms for Solving Linear Differential Equations with Rational Function Coefficients
	Chenchen Zhou	Financial Math	Alec Kercheval	On the Multidimensional Default Threshold Model for Credit Risk Model
	Diana Lissett Flores-Diaz	Biomath	Richard Bertram	An Electrophysiological and Mathematical Modeling Study of Developmental and Sex Effects on Neurons of the Zebra Finch Song System
	Omid Khanmohamadi	Applied & Computational Math	Mark Sussman	High-Order, Efficient, Numerical Algorithms For Integration In Manifolds Implicitly Defined By Level Sets
	Yahya Ahmed Almalki	Pure Math	Craig Nolder	Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces
	Jian Wang	Financial Math	Jinfeng Zhang Giray Okten	Ensemble Methods for Capturing Dynamics of Limit Order Books
	Yunyi Shen	Pure Math	Matilde Marcolli Paolo Aluffi	Arithmetic Aspects of Noncommutative Geometry: Motives of Noncommutative Tori and Phase Transitions on $\operatorname{GL}(n)$ and Shimura Varieties Systems
	Yu-Ying Tzeng	Financial Math	Giray Okten Paul Beaumont	Quasi-Monte Carlo and Markov Chain Quasi-Monte Carlo Methods in Estimation and Prediction of Time Series Models
	Leona H. Sparaco	Pure Math	Kathleen Petersen	Character Varieties of Knots and Links with Symmetries

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Spring 2017	Vehpi Yildirim	Biomath	Richard Bertram	Mathematical Modeling and Analysis of Gene Knockout Compensation in Pancreatic Beta-Cells
	Corey Harris	Pure Math	Paolo Aluffi	Effective Methods in Intersection Theory and Combinatorial Algebraic Geometry
	Yao Dai	Biomath	Mike Mesterton-Gibbons	Game-Theoretic Models of Animal Behavior Observed in Some Recent Experiments
	Jian Li	Biomath	Nick Cogan	Mathematical Modeling of Biofilms and Implementations
	Liang-Hsuan Tai	Applied & Computational Math	Kyle Gallivan Anuj Srivastava	Trend and Variable-Phase Seasonality Estimation from Functional Data
	David Mandel	Financial Math	Giray Okten	Random Sobol - Sensitivity Analysis and Model Robustness
	Mehmet Emin Aktas	Pure Math	Eriko Hironaka	Topology of $N$-gonal Curves
	Daniel Weingard	Biomath	Richard Bertram	Scroll Waves: And How They Interact with Non-Reactive Knots, Tori, And Spheres
	Yuanda Chen	Financial Math	Alec Kercheval	Modeling Limit Order Book Dynamics using Hawkes Processes
	John Max Wyse	Biomath	Mike Mesterton-Gibbons	The Impact of Competition on Temporal Musth Strategies: A Game-Theoretic Approach
	Joseph Patrick McKenna	Biomath	Richard Bertram	Insulin Secretion Rhythms: Calcium Regulation of Beta-Cell Metabolism and Rescue of Islet Oscillations
Fall 2016	Kouadio David Yao	Financial Math	Victor Patrangenaru Alec Kercheval	Statistical Analysis on Object Spaces with Applications to 3D Face Analysis and Exchange Rates Data
	Chun-Yuan Chiu	Financial Math	Alec Kercheval	Modeling Credit Risk in the Default Threshold Framework
	Robert Brantley Billet	Pure Math	Eriko Hironaka	Flow Equivalence Classes of Pseudo-Anosov Surface Homeomorphisms
Summer 2016	Justin Eilertsen	Applied & Computational Math	Jerry Magnan	Local and Global Bifurcations in Finite-Dimensional Center Manifold Equations of Double-Diffusive Convection
	Dane Mayhook	Pure Math	Philip Bowers	Conformal Tilings and Type

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Spring 2016	Mao Li	Biomath	Washington Mio	Quantifying Phenotypic Variation through Local Persistent Homology and Imaging
	David Allen Ekrut-	Biomath	Nicholas Cogan	Symmetry Solutions of the Multiphase Model with Biological Applications
	Angela Michelle Jarrett	Biomath	Nick Cogan M. Yousuff Hussaini	Investigating Persistent Infections Using Mathematical Modeling and Analyses
	Diego Hernan Diaz Martinez	Biomath	Washington Mio	Multiscale Summaries of Probability Measures with Applications to Plant and Microbiome Data
	Brendon Kerr Ballenger-Fazzone	Pure Math	Craig A. Nolder	An Analysis of Conjugate Harmonic Components of Monogenic Functions and Lambda Harmonic Functions
	Justin Thomas Cole	Applied & Computational Math	Ziad Musslimani	Nonlinear Schrodinger-type Systems: Complex Lattices and Non-paraxiality
	Yuanda Chen	Financial Math	Alec Kercheval	Modeling Limit Order Book Dynamics using Hawkes Processes
Fall 2015	Sarah Kim	Biomath	Monica Hurdal	A Mathematical Model of Cerebral Cortical Folding Development Based on a Biomechanical Hypothesis
	Celestine Woodruff	Applied & Computational Math	Xiaoming Wang	Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection
Summer 2015	Guifang Zhou	Applied & Computational Math	Kyle Gallivan Paul van Dooren	Rank-Constrained Optimization: A Riemannian Manifold Approach
	Dong Sun	Applied & Computational Math	Xiaoming Wang Max Gunzberger	High Order Long-Time Accurate Methods for Stokes-Darcy System and Uncertainty Quantification of Contaminant Transport
	Dawna Jones	Financial Math	Alec Kercheval Paul Beaumont	Asset Pricing Equilibria for Heterogeneous, Limited-Information Agents
	Patrick Fletcher	Biomath	Richard Bertram Joel Tabak-Sznajder	Theoretical, Computational, and Experimental Topics in Anterior Pituitary Cell Signaling
	Wei Yuan	Financial Math	Giray Okten Kyounghee Kim	Estimating Sensitivities of Exotic Options Using Monte Carlo Methods
	William Adams	Pure Math	Paolo Aluffi	Lagrangian Specialization Via Log Resolution and Schwartz MacPherson Chern Classes
	Daozhi Han	Applied & Computational Math	Xiaoming Wang	Diffuse Interface Method for Two-Phase Incompressible Flows
	Linlin Xu	Financial Math	Giray Okten	GPU Computing in Financial Engineering
Spring 2015	Russell Waller	Pure Math	Sergio Fenley	Periodic Pieces of Pseudo-Anosov Flows in Graph Manifolds
	Qiuping Xu	Biomath	Washington Mio	Keeping Pace with the Times: Quantifying Variation of Newly Emerging Biological Shape Data
	John Emanuello	Pure Math	Craig Nolder	Analysis of Functions of Split-Complex, Multicomplex and Split-Quaternionic Variables and Their Associated Conformal Geometry
	Tugba Karabiyik	Biomath	Mike Mesterton-Gibbons	A Game-Theoretic Analysis of Competition Over Indivisible Resources
	Anthony Wills	Financial Math	Brian Ewald Xiaoming Wang	Analysis of Regularity and Convergence of Discretization Methods for the Stochastic Heat Equation Forced by Space-Time White Noise
	Xin Li	Pure Math	Mika Seppala Mark Van Hoeij	Myrbergs Numerical Uniformization

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Fall 2014	Sevgi Sengul	Biomath	Richard Bertram Tabak-Sznajder	Unveiling Mechanisms for Electrical Activity Patterns in Neurons and Pituitary Cells Using Mathematical Modeling and Analysis
Summer 2014	Ming Zhu	Financial Math	Warren Nichols	Radically Elementary Stochastic Summation with Applications to Finance
	MatthewDonahue	Biomath	Nick Cogan	Modeling the Effect of Biofilm
	Vijay Kunwar	Pure Math	Mark van Hoeij	Hypergeometric Solutions of Linear Differential Equations with Rational Function Coeffficients
	Matt Jemison	Applied & Computational Math	Mark Sussman	An asymptotically preserving method for multiphase flow
	Yingyuen Shen	Biomath	Mike Mesterton-Gibbons	Mathematical Models of Dengue Fever and Measures to Control It
	Nguyet Nguyen	Financial Math	Giray Okten	Probabilistic methods in estimation and prediction of financial models
	Ivan Dungan	Pure Math	Ettore Aldrovandi	$n$-butterflies: modeling weak morphisms of strict $n$-groups
Spring 2014	Ahmed Derar Islim	Financial Math	David Kopriva	Pricing and Hedging Derivatives with Sharp Profiles using tuned High Resolution Finite Difference Schemes
	Andrew Winters	Applied & Computational Math	David Kopriva	Discontinuous Galerkin spectral element approximations for the reflection and transmission of waves from moving material interfaces
	Wen Huang	Applied & Computational Math	Kyle Gallivan P.A. Absii	Optimization Algorithms on Riemannian Manifolds with Applications
Fall 2013	Pierre Garreau	Financial Math	Alec Kercheval	Jump Dependence and Default Risk: a new class of structural models of default risk
	Yanyan He	Applied & Computational Math	Yousuff Hussaini	Uncertainty quantification and data fusion based on Dempster-Shafer theory
	Yaning Liu	Applied & Computational Math	Giray Okten Yousuff Hussaini	Non-intrusive methods for probabilistic uncertainty quantification and global sensitivity analysis in nonlinear stochastic phenomena
	Candace Ohm	Pure Math	Mike Mesterton-Gibbons	The Evolution of Deception in Signaling Systems
	Mark Whidden	Biomath	Nick Cogan	Numertical Methods for Multiphase Systems and Applications to Biology
	Yuan Zhang	Financial Math	Alec Kercheval	Modeling high-frequency order book dynamics with support vector machines

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Summer 2013	Ibukun Amusan	Financial Math	Giray Okten Brian Ewald	Parameter estimation for a stochastic volatility model with coupled additive and multiplicative noise
	Arij Daou	Biomath	Richard Bertram	From Songs to Ion Channels and Mathematical Modeling
	Jian Geng	Financial Math	Michael Navon Bettye Anne Case	Calibration of local volatility models and proper orthogonal decomposition (pod) reduced order modeling for stochastic volatility models
	Yuanting Lu	Biomath	Jack Quine	Discrete Frenet frame with application to structural biology and kinematics
	Wanwan Huang	Financial Math	Giray Okten Brian Ewald	Stochastic Modeling of Financial Derivatives
	Xia Liao	Pure Math	Paolo Aluffi	Chern classes of sheaves of logarithmic vector fields for free divisors
	Dongxu Wang	Pure Math	Wolfgang Heil	3-manifolds of $S^1$-category 3
Spring 2013	Jonathan Bates	Biomath	Washington Mio	Spectral methods for morphometry
	Motoi Namihira	Financial Math	David Kopriva	Probabilistic uncertainty analysis and its applications in option models
	Gregory Toole	Biomath	Monica Hurdal	Modeling cortical folding patterns of the brain using a growth domain
	Linda (Crystal) Wells	Pure Math	Eric Klassen	Shape analysis of curves in higher dimensions
Fall 2012	Tingting Fang	Pure Math	Mark van Hoeij	Solving linear differential equations in terms of hypergeometric functions by 2-descent
	Dan Li	Pure Math	Matilde Marcolli Paolo Aluffi	Periods and motives: applications in mathematical physics
	Daniel Robinson	Pure Math	Eric Klassen	Functional analysis and partial matching in the square root velocity framework
	Jinhua Yan	Financial Math	David Kopriva	Partial differential equation methods to price options in the energy market
Summer 2012	Joseph A. Boor	Financial Math	Patricia Born Bettye Anne Case Qihe Tang	An analytic approach to estimating the required surplus, benchmark profit, and optimum reinsurance retnetion for an insurance enterprise
	James A. Fullwood	Pure Math	Paolo Aluffi	On elliptic fibrations and F-theory compactifications of string vacua
	Randall J. Heaton	Pure Math	Amod Agashe Mark van Hoeij	Algorithms for computing congruences between modular forms
	Wondimu W. Teka	Biomath	Richard Bertram	Nonlinear dynamics underlying fast bursting in pituitary cells
	Guanghong Wang	Pure Math	Craig Nolder	Dirac operators, multipliers, and $H^p$ spaces of monogenic functions

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Spring 2012	Johnathon K. Armstrong	Pure Math	Eriko Hironaka Kathleen Petersen	Principal elements of mixed-sign Coxeter systems
	Yu Fan	Biomath	Washington Mio	Learning shape metrics for inferring the nature of allometry and shape classification
	He Huang	Financial Math	Alec Kercheval	Modeling order book dynamics using queues and point processes
	Tianyu Liang	Applied & Computational Math	Xiaoming Wang Alec Kercheval	Alternative models for stochastic volatility corrections for equity and interest rate derivatives
	Yang Liu	Financial Math	Alec Kercheval	Risk forecasting and portfolio optimization with GARCH, skewed-t distribution, and multiple timescales
	Quan Yuan	Pure Math	Mark van Hoeij	Finding all Bessel-type solutions for linear differential equations with rational function coefficients
Fall 2011	Judson P. Stryker	Pure Math	Paolo Aluffi	Chern-Schwartz-MacPherson classes of graph hypersurfaces and Schubert varieties
	Aaron D. Valdivia	Pure Math	Eriko Hironaka	Pseudo-Anosov sequences with asymptotically small dilatation
	Margaret A. Watts	Biomath	Richard Bertram	Slow variable dominance in pancreatic beta-cell models
Summer 2011	Saikat Biswas	Pure Math	Amod Agashe	Constructing non-trivial elements of the Shafarevich-Tate group of an abelian variety
	Yuanying Guan	Financial Math	Alec Kercheval Paul Beaumont	Asset market dynamics of heterogeneous agents models with learning
	Qin Li	Applied & Computational Math	Gordon Erlebacher (DSC, FSU) Xiaoming Wang	Sparse approximation and its applications
Spring 2011	Cesar Acosta-Minoli	Applied & Computational Math	David Kopriva	Discontinuous Galerkin spectral element approximations on moving meshes for wave scattering from reflective moving boundaries
	Young J. Cha	Pure Math	Mark van Hoeij	Closed form solutions of linear difference equations
	Xiao Chen	Applied & Computational Math	I. Michael Navon (DSC, FSU) Mark Sussman	4-D var data assimilation and POD model reduction methodologies applied to geophysical fluid dynamics models
	Austen C. Duffy	Applied & Computational Math	Mark Sussman Yousuff Hussaini	Massively parallel algorithms for CFD simulation and optimization on heterogeneous many-cove architectures
	Philip Paul Lepoudre	Applied & Computational Math	Christopher K.W. Tam	Computational aeroacoustics cascade model of fan noise
	Jamil W. Mortada	Pure Math	Sergio Fenley Eriko Hironaka	Arim and Dehn twist subgroups of the mapping class group
	Chunhong Qi	Applied & Computational Math	Kyle Gallivan Pierre-Antoine Absil	Numerical optimization methods on Riemanian manifolds
	Matthew C. Willyard	Financial Math	David Kopriva	Adaptive spectral element methods to price American options
Fall 2010	Yaohong Wang	Applied & Computational Math	Mark Sussman	Numerical methods for two-phase jet flow

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Summer 2010	Dervis Bayazit	Financial Math	Craig Nolder	Sensitivity analysis of options under Levy processes via Malliavin calculus
	Xinyang Liu	Biomath	Washington Mio	Shape spaces, metrics, and their applications to brain anatomy
	Ji Shen	Applied & Computational Math	Gordon Erlebacher (DSC, FSU) Xiaoming Wang	No-reference natural image/video quality assessment of noisy, blurry, or compressed images/videos based on hybrid curvelet, wavelet, and cosine transforms
	Svetlana V. Simakhina	Applied & Computational Math	Mark Sussman	Level set and conservative level set methods on dynamic quadrilateral grids
	Ahmet E. Tatar	Pure Math	Ettore Aldrovandi	Picard 2-stacks and length 3 complexes of abelian sheaves
Spring 2010	Yong Jung	Biomath	Michael Mascagni (CS, FSU) Philip Bowers	A computational study of ion conductance in the KscA K+ channel using a Nerst-Planck model with explicit resident ions
	Giles S. Levy	Pure Math	Mark van Hoeij	Solutions of second order recurrence relations
Fall 2009	Juan B Gutierrez	Biomath	Monica Hurdal	Mathematical analysis of the use of Trojan sex chromosomes as means of eradication of invasive species
	Edwin N. Jimenez	Applied & Computational Math	Yousuff Hussaini	Uncertainty quantification of nonlinear stochastic phenomena
	Deborah Striegel	Biomath	Monica Hurdal	Modeling the folding pattern of the cerebral cortex
Summer 2009	Ahmet Goncu	Financial Math	Giray Okten	Monte Carlo and quasi-Monte Carlo methods in pricing financial derivatives
	Fei Hua	Applied & Computational Math	Xiaoming Wang Max Gunsburger (DSC, FSU)	Modeling, analysis and simulation of the Stokes-Darcy system with Beavers-Joseph interface condition
	Rana Parshad	Financial Math	Xiaoming Wang	Asymptotic behavior of convection in porous media
Fall 2008	Yuri Alex Lebedev	Pure Math	Mika Seppala	Open math library for computing on Riemann surfaces
	Haomin Lin	Applied & Computational Math	Janet Peterson (DSC, FSU) Max Gunzburger (DSC, FSU)	An optimal control problem for a time dependent Ginzburg-Landau model of superconductivity
	Konstantinos Mavroudis	Financial Math	Craig Nolder	Constant proportions portfolio strategies in an evolutionary context under a dividend factor model
	Emmanuel R. Salta	Financial Math	Giray Okten	Variance reduction techniques in pricing financial derivatives
	Milena Tzigantcheva	Financial Math	Craig Nolder	Stochastic volatility extensions of the swap market model

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Summer 2008	Manan Y Shah	Financial Math	Giray Okten Yevgeny Goncharov	Randomized quasi-Monte Carlo methods and the computation of endogenous mortgage rates
	Eunjoo Yoo	Financial Math	Craig Nolder	Variance gamma pricing of American futures options
Spring 2008	Hoa V. Nguyen	Applied & Computational Math	Max Gunzburger (DSC, FSU)	Centroidal Voronoi Tessellations for mesh generation: from uniform to anisotropic adaptive triangulations
	Andrew P. Novocin	Pure Math	Mark van Hoeij	Factoring univariate polynomials over the rationals
	Wuming Zhu	Financial Math	David Kopriva	A spectral element method to price European options
Fall 2007	Wan-Kan Chan	Applied & Computational Math	Max Gunzburger (DSC, FSU)	Analysis and approximation of a two-banded Ginzburg-Landau model of superconductivity
	Juan F Moreno	Financial Math	Alec Kercheval	Impulse control problems under non-constant volatility
	Yuki Saka	Applied & Computational Math	Max Gunzburger (DSC, FSU)	Analysis of two PDE models in fluid mechanics: nonlinear spectral eddy-viscosity model of turbulence and infinite Prandti-number model of mantle convection
Summer 2007	Zheng Chen	Applied & Computational Math	Max Gunzburger (DSC, FSU)	Anova for parameter dependent nonlinear PDEs and numerical methods for the stochastic Stokes equations
	Andrew Culham	Financial Math	Alec Kercheval Paul Beaumont (Economics, FSU)	Asset pricing in a Lucas framework with boundary rational, heterogeneous agents
	Lee W. Singleton	Biomath	Monica Hurdal	Geometric and computational generation, correction, and simplification of cortical surfaces of the human brain
Spring 2007	Christian Laing	Biomath	De Witt Sumners	Biomedical applications of shape descriptors
	Jennifer K Mann	Biomath	De Witt Sumners E. Lynn Zechiedrich	DNA knotting: Occurrences, consequences, and resolution
	Natalia Toporikova	Biomath	Richard Bertram	Regulation of rhythmic prolaction secretion: combined mathematical and experimental study
	Clayton Webster	Applied & Computational Math	Max Gunzburger (DSC, FSU)	Sparse collocation techniques for the numerical solution of stochastic partial differential equations
	Jianke Zhang	Financial Math	Alec Kercheval	Numerical methods for portfoliorisk estimation
Fall 2006	Srisairam Achuthan	Biomath	J.R. Quine	Analysis of orientational restraints in solid-state nuclear magnetic resonance with applications to protein structure determination
	Mack L Galloway	Financial Math	Craig Nolder	Option pricing with selfsimilar additive processes
	Dimitre G. Tzigantchev	Pure Math	Paolo Aluffi	Predegree polynomials of plane configurations in projective space

PhD Semester	Student	Area	PhD Advisor	Thesis Title
Summer 2006	William E. Wood	Pure Math	Philip Bowers	Combinatorial type problems for triangulation graphs
Spring 2006	Santha Ram Akella	Applied & Computational Math	I. Michael Navon (DSC, FSU)	Deterministic and stochastic aspects of data assimilation
Fall 2005	Ana M. Croicu	Applied & Computational Math	Yousuff Hussaini	Single and multiple-objective stochastic programming with applications to aerodynamics
	Wenbo Hu	Financial Math	Alec Kercheval	Calibration of multivariate generalized hyperbolic distributions using the EM algorithm, with applications in risk management, portfolio optimization, and portfolio credit risk
Summer 2005	Zhenlu Cui	Pure Math	Qi Wang	Rheology and mesoscale morphology of flows of cholesteric and nematic liquid crystal polymers
	Anand Ganesan	Pure Math	Christopher K.W. Tam	TWO PART THESIS: 1. A modified K-undefined control sequence E turbulence model of high speed jets at elevated temperatures 2. Modeling and a computational study of spliced acoustic liners
	Samet Y Kadioglu	Applied & Computational Math	Mark Sussman	All speed mutli-phase flow solvers
	Parthasar Srinivasan	Biomath	J.R. Quine	Applications of representation theory and higher-order perturbation theory in NMR
Spring 2005	Jacqueline R. Goforth	Pure Math	Sam Huckaba	Description and analysis of a two-variable version of the NTRU crypto system
Spring 2005	Marc R. Lengfield	Pure Math	Dan Oberlin	Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces
Summer 2004	Caroline M. Boulis	Pure Math	Wolfgang Heil	Finite Abelian group actions on orientable circle bundles over surfaces
Spring 2004	Marc R. Lengfield	Pure Math	Dan Oberlin	Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces
	Benoit Montin	Financial Math	Craig Nolder	A stock market agent-based model using evolutionary game theory and quantum mechanical formalism
Fall 2003	Deborah Jones	Pure Math	Paolo Aluffi	Intersection numbers of divisors in graph varieties
Summer 2003	Roger V Vogeler	Pure Math	Philip Bowers	On the geometry of Hurwitz surfaces
Spring 2003	Irma Cruz-White	Biomath	De Witt Sumners	Topology of spiral waves in excitable media
Summer 2002	Cristian Homescu	Applied & Computational Math	I. Michael Navon (DSC, FSU)	Optimal control of continuous and discontinouos flow

Department of Mathematics

Recent FSU Mathematics PhDs