Matt Bainbridge

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All published works
Action Title Year Authors
+ PDF Chat Moduli spaces of complex affine and dilation surfaces 2023 Paul Apisa
Matt Bainbridge
Jane Wang
+ PDF Chat Haupt’s theorem for strata of abelian differentials 2022 Matt Bainbridge
Chris A. Johnson
Chris Judge
Insung Park
+ Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) 2022 Matt Bainbridge
John Smillie
Barak Weiss
+ Moduli spaces of complex affine and dilation surfaces 2022 Paul Apisa
Matt Bainbridge
Jane Wang
+ Haupt's theorem for strata of abelian differentials 2020 Matt Bainbridge
Chris A. Johnson
Chris Judge
Insung Park
+ The moduli space of multi-scale differentials 2019 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ The moduli space of multi-scale differentials 2019 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ PDF Chat Compactification of strata of Abelian differentials 2018 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ PDF Chat Teichmüller curves in genus three and just likely intersections in G m n × G a n $\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}$ 2016 Matt Bainbridge
Philipp Habegger
Martin Möller
+ Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1) 2016 Matt Bainbridge
John Smillie
Barak Weiss
+ Strata of $k$-differentials 2016 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Moeller
+ Teichmüller curves in genus three and just likely intersections in ${\bf G}_m^n\times{\bf G_a}^n$ 2016 Matt Bainbridge
Philipp Habegger
Martin Möller
+ Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1) 2016 Matt Bainbridge
John Smillie
Barak Weiss
+ Teichmueller curves in genus three and just likely intersections in $G_m^n x G_a^n$ 2014 Matt Bainbridge
Philipp Habegger
Martin Moeller
+ PDF Chat The locus of real multiplication and the Schottky locus 2014 Matt Bainbridge
Martin Möller
+ PDF Chat The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3 2012 Matt Bainbridge
Martin Möller
+ The locus of real multiplication and the Schottky locus 2011 Matt Bainbridge
Martin Möller
+ The locus of real multiplication and the Schottky locus 2011 Matt Bainbridge
Martin Möller
+ PDF Chat Erratum to: Billiards in L-Shaped Tables with Barriers 2010 Matt Bainbridge
+ PDF Chat Billiards in L-Shaped Tables with Barriers 2010 Matt Bainbridge
+ Deligne-Mumford compactification of the real multiplication locus and Teichmueller curves in genus three 2009 Matt Bainbridge
Martin Moeller
+ PDF Chat Euler characteristics of Teichmüller curves in genus two 2007 Matt Bainbridge
+ Billiards in L-shaped tables with barriers 2007 Matt Bainbridge
+ Billiards in L-shaped tables with barriers 2007 Matt Bainbridge
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Euler characteristics of Teichmüller curves in genus two 2007 Matt Bainbridge
10
+ PDF Chat Connected components of the moduli spaces of Abelian differentials with prescribed singularities 2003 Maxim Kontsevich
Anton Zorich
9
+ PDF Chat Billiards and Teichmüller curves on Hilbert modular surfaces 2003 Curtis T. McMullen
9
+ Veech surfaces and complete periodicity in genus two 2004 Kariane Calta
9
+ Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards 1989 William A. Veech
8
+ PDF Chat Teichmüller curves in genus two: Discriminant and spin 2005 Curtis T. McMullen
8
+ PDF Chat Teichmüller curves in genus two: Torsion divisors and ratios of sines 2006 Curtis T. McMullen
8
+ PDF Chat Dynamics of SL<sub>2</sub>(ℝ) over moduli space in genus two 2007 Curtis T. McMullen
6
+ PDF Chat Billiards in L-Shaped Tables with Barriers 2010 Matt Bainbridge
5
+ Billiards in rectangles with barriers 2003 Alex Eskin
Howard Masur
Martin Schmoll
5
+ Asymptotic formulas on flat surfaces 2001 Alex Eskin
Howard Masur
5
+ PDF Chat Foliations of Hilbert modular surfaces 2007 Curtis T. McMullen
5
+ Affine mappings of translation surfaces: geometry and arithmetic 2000 Eugène Gutkin
Chris Judge
5
+ Degenerating Families of Riemann Surfaces 1977 William Abikoff
5
+ PDF Chat Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants 2003 Alex Eskin
Howard Masur
Anton Zorich
5
+ PDF Chat Teichmüller curves, triangle groups, and Lyapunov exponents 2010 Irene I. Bouw
Martin Möller
5
+ None 1999 Enrico Bombieri
David Masser
Umberto Zannier
4
+ PDF Chat Isolation, equidistribution, and orbit closures for the SL(2,R) action on moduli space 2015 Alex Eskin
Maryam Mirzakhani
Amir Mohammadi
4
+ Moduli spaces of quadratic differentials 1990 William A. Veech
4
+ PDF Chat Splitting mixed Hodge structures over affine invariant manifolds 2016 Simion Filip
4
+ Invariant and stationary measures for the SL(2,R) action on Moduli space 2013 Alex Eskin
Maryam Mirzakhani
4
+ PDF Chat Prym varieties and Teichmüller curves 2006 Curtis T. McMullen
4
+ PDF Chat Billiards on rational-angled triangles 2000 Richard Kenyon
John Smillie
4
+ PDF Chat Teichmüller geodesics of infinite complexity 2003 Curtis T. McMullen
4
+ PDF Chat Teichmüller curves in genus two: The decagon and beyond 2005 Curtis T. McMullen
3
+ Interval Exchange Transformations and Measured Foliations 1982 Howard Masur
3
+ PDF Chat The field of definition of affine invariant submanifolds of the moduli space of abelian differentials 2014 Alex Wright
3
+ Moduli of Curves 1998 Joe Harris
Ian Morrison
3
+ PDF Chat Siegel–Veech constants in ℋ(2) 2006 Samuel Lelièvre
3
+ PDF Chat The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3 2012 Matt Bainbridge
Martin Möller
3
+ Invariant and stationary measures for the action on Moduli space 2018 Alex Eskin
Maryam Mirzakhani
3
+ Sums involving the values at negative integers of L-functions of quadratic characters 1975 Henri Cohen
3
+ PDF Chat Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve 2006 Martin Möller
3
+ Spaces of elliptic differentials 2005 Martin Schmoll
3
+ PDF Chat Orbitwise countings in H(2) and quasimodular forms 2006 Samuel Lelièvre
Emily Royer
3
+ PDF Chat Thick-thin decomposition for quadratic differentials 2007 Kasra Rafi
3
+ PDF Chat Unipotent flows on the space of branched covers of Veech surfaces 2005 Alex Eskin
Jens Marklof
Dave Witte Morris
3
+ Berechnung von Zetafunktionen an ganzzahligen Stellen 1979 Carl Ludwig Siegel
K. Chandrasekharan
H. Maaß
3
+ PDF Chat The growth rate of trajectories of a quadratic differential 1990 Howard Masur
3
+ Siegel Measures 1998 William A. Veech
3
+ PDF Chat Green's functions, electric networks, and the geometry of hyperbolic Riemann surfaces 2001 Jeffrey Diller
2
+ Fuchsian groups and transitive horocycles 1936 Gustav A. Hedlund
2
+ PDF Chat On the Bounded Height Conjecture 2008 Philipp Habegger
2
+ PDF Chat A proof of Thurston's topological characterization of rational functions 1993 Adrien Douady
John H. Hubbard
2
+ PDF Chat The irreducibility of the space of curves of given genus 1969 Pierre Deligne
D. Mumford
2
+ PDF Chat Prime arithmetic Teichmüller discs in $$\mathcal{H}(2)$$ 2006 Pascal Hubert
Samuel Lelièvre
2
+ Minimal sets for flows on moduli space 2004 John Smillie
Barak Weiss
2
+ Uniform distribution of horocycle orbits for Fuchsian groups 1984 S. G. Dani
John Smillie
2
+ Equations diophantiennes exponentielles 1984 Laurent Michel
2
+ The extension of the Weil-Petersson metric to the boundary of Teichmuller space 1976 Howard Masur
2