Papers by Eriko Hironaka

• Standardly embedded train tracks and pseudo-Anosov maps with minimum expansion factor, joint with Chi Cheuk Tsang (2023) to appear in Groups, Geometry and Dynamics (arXiv:2210.13418)


• Quotient Families of Mapping Classes, Topology Proceedings vol 56, 2020, p. 161--196 (PDF)


• The augmented deformation space of rational maps, in a Panorama of Singularities, Contemporary Mathematics, vol. 742, Amer. Math.Soc, 2020, pp. 85-107 (PDF, bookstore link)


• A disconnected deformation space of rational maps, joint with Sarah Koch J. of Mod. Dynam. vol. 11, 2017, p. 409-423 ( PDF )


• On Coxeter mapping classes and fibered alternating links. joint with Livio Liechti, Mich. Math. J. vol. 65 (4) 2016, p. 788-812) (Journal Link )


• Digraphs and cycle polynomials for free-by-cyclic groups. joint with Yael Algom-Kfir and Kasra Rafi, Geometry and Topology vol.9 (2), 2015, p.1111-1154) (PDF)


• Penner sequences and asymptotics of minimum dilatations for subfamilies of the mapping class group. Topology Proceedings vol. 44, 2014, p. 315--324 (PDF)


• Lipschitz constants to curves complexes. joint with Vaibhav Gadre, Christopher Leininger and Richard Kent. Math. Res. Letters vol. 10 (2013) no. 4, p. 1--10 (PDF)

• Generalized lantern relations and planar line arrangements, in Computational Algebraic and Analytic Geometry, Contemporary Mathematics, vol 572, 2012, pp. 113--125 (PDF)

• Small dilatation pseudo-Anosov mapping classes coming from the simplest hyperbolic braid. Alg. and Geom. Top., vol 10, 2010, p. 2041--2060 (PDF)


• What is Lehmer's number?, in Notices of the A.M.S., vol. 56 (3), 2009, p. 374--375 (PDF)


• Cyclotomic factors of Coxeter polynomials (joint with Benedict H. Gross, and Curtis T. McMullen) J. Number Theory, vol. 129, 2009, p. 1034--1043 ( PDF )


• A family of pseudo-Anosov braids with small dilatation (joint with Eiko Kin), Alg. and Geom. Top., vol. 6, 2006, 699--738 ( Journal Link)


• Salem-Boyd sequences and Hopf plumbing, Osaka J. Math. vol. 43 (3), 2006, 497--516 ( PDF ) ( PS ) ( Abs )


• Chord diagrams and Coxeter links, J. London Math. Soc. vol. 69 (2), 2004, p. 243--257 ( PS ) (PDF)


• Lehmer's problem, McKay's correspondence, and 2,3,7, Contemp. Math. Proc. vol. 327, 2003, p. 123 -- 138 ( PS ) (PDF)


• The Lehmer polynomial and pretzel knots, Can. Math. Soc. Bulletin, vol. 44 (4), 2001, p. 440 -- 451 (with corrections) (PS ) (PDF)


• The arithmetic and geometry of Salem numbers (joint with Eknath Ghate) Bull. Amer. Math. Soc. (N.S.) vol. 38 (3), 2001, p. 293 -- 314 ( PS ) (PDF)


• Boundary manifolds of line arrangements. Math. Ann. vol. 319, 2001, p. 17 -- 32 ( PS ) (PDF)


• Plumbing graphs for normal surface-curve pairs Advanced Studies in Pure Mathematics, Arrangements - Tokyo 1998 ( PS ) (PDF)


• Alexander stratifications of character varieties. Ann. de l'Inst. Four., vol. 47 (2), 1997, p. 555 -- 583. (PS )


• Torsion points on an algebraic subset of an affine torus. Inter. Math. Res. Not., (19), 1996, p. 953 -- 982. ( PS )


• Multi-polynomial invariants for plane algebraic curves. Proceedings: Conference on algebraic geometry and singularities. Beijing 1994 ( PS )


• Abelian coverings of the complex projective plane branched along configurations of real lines. Memoirs of Amer. Math. Soc., vol. 105 (502), 1993. (PDF) ( abstract )


• Intersection theory on branched covering surfaces and polynomial periodicity. Inter. Math. Res. Notices., (6), 1993, p. 185 -- 196. ( PS )


• Polynomial periodicity for Betti numbers of coverings surfaces. Invent. Math. vol. 108, 1992, p. 289 -- 321. ( PS )

• Small dilatation pseudo-Anosov mapping classes and short circuits on train track automata, Institute Mittag-Leffler preprint series. (July, 2014) (PDF)


• Mittag-Leffler Institute Preprint Collection: "Workshop on Growth and Mahler Measures in Geometry and Topology, July, 2013" ( PDF )


• Mapping classes associated to mixed-sign Coxeter graphs (November, 2013) PDF)


• MSJ special lecture in Topology 2012: Abstract (10 pages) (PDF)


• Computing Alexander polynomials using monodromy (2011, 8 pages) (PDF)


• On hyperbolic deformations of algebraic links and small Mahler measure in Singularities in Geometry and Topology, p. 77--94, Adv. Stud. Pure Math., vol. 46, Math. Soc. Japan, Tokyo, 2007 ( PDF ) ( Abs )


• Special classes of algebraic integers in low-dimensional topology, RIMS Publication--Kyoto, 2007, vol. 1451, p. 120--130 ( PDF ) ( Abs )

• Lecture Notes from Course at Tokyo Institute of Technology, Spring 2012 PDF

• Spring Topology Conference, Central Connecticut State University (Slides) March 2013
• University of North Texas, RTG (Research Training Groups) talk on Lehmer's number and the Golden Mean (Slides), October, 2012