Samuel Grushevsky

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All published works
Action Title Year Authors
+ Riemann Surfaces: Random, Flat, and Hyperbolic Geometry 2025 Gaëtan Borot
Samuel Grushevsky
Martin Möller
+ Tree-level superstring amplitudes: the Neveu-Schwarz sector 2024 Sergio L. Cacciatori
Samuel Grushevsky
Alexander A. Voronov
+ PDF Chat Compact Subvarieties of the Moduli Space of Complex Abelian Varieties 2024 Samuel Grushevsky
Grabriele Mondello
Riccardo Salvati Manni
Jacob Tsimerman
+ PDF Chat Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector 2024 Sergio L. Cacciatori
Samuel Grushevsky
Alexander A. Voronov
+ PDF Chat NON-ISOMORPHIC SMOOTH COMPACTIFICATIONS OF THE MODULI SPACE OF CUBIC SURFACES 2023 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ Differentiating Siegel Modular Forms and the Moving Slope of 𝒜<i>g</i> 2023 Samuel Grushevsky
Tomoyoshi Ibukiyama
Gabriele Mondello
Riccardo Salvati Manni
+ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models 2023 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ Moduli of abelian varieties near the locus of products of elliptic curves 2023 Samuel Grushevsky
Riccardo Salvati Manni
+ The birational geometry of moduli of cubic surfaces and cubic surfaces with a line 2023 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
+ PDF Chat Equations of linear subvarieties of strata of differentials 2022 Frederik Benirschke
Benjamin Dozier
Samuel Grushevsky
+ Non-isomorphic smooth compactifications of the moduli space of cubic surfaces 2022 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ Differentiating Siegel modular forms, and the moving slope of ${\mathcal A}_g$ 2022 Samuel Grushevsky
Tomoyoshi Ibukiyama
Gabriele Mondello
Riccardo Salvati Manni
+ A tale of two moduli spaces: logarithmic and multi-scale differentials 2022 Dawei Chen
Samuel Grushevsky
David Holmes
Martin Möller
Johannes Schmitt
+ PDF Chat On the Cone of Effective Surfaces on A 3 2022 Samuel Grushevsky
Klaus Hulek
+ Igor’ Moiseevich Krichever 2021 Victor Matveevich Buchstaber
Alexander Varchenko
А. П. Веселов
P. G. Grinevich
Samuel Grushevsky
S. Yu. Dobrokhotov
A. Zabrodin
A. Marshakov
Андрей Евгеньевич Миронов
Nikita Nekrasov
+ An explicit solution to the weak Schottky problem 2021 Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Complete moduli of cubic threefolds and their intermediate Jacobians 2020 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ On the cone of effective surfaces on $\overline{\mathcal A}_3$ 2020 Samuel Grushevsky
Klaus Hulek
+ Equations of linear subvarieties of strata of differentials 2020 Frederik Benirschke
Benjamin Dozier
Samuel Grushevsky
+ On the cone of effective surfaces on $\overline{\mathcal A}_3$ 2020 Samuel Grushevsky
Klaus Hulek
+ The moduli space of multi-scale differentials 2019 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ PDF Chat Real-normalized differentials: limits on stable curves 2019 Samuel Grushevsky
I. M. Krichever
Chaya Norton
+ PDF Chat Вещественно-нормированные дифференциалы: пределы на стабильных кривых 2019 Samuel Grushevsky
I. M. Krichever
Chaya Norton
+ The moduli space of multi-scale differentials 2019 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ Cohomology of the moduli space of cubic threefolds and its smooth models 2019 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ PDF Chat Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties 2018 Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
Mathieu Dutour Sikirić
+ PDF Chat Compactification of strata of Abelian differentials 2018 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Möller
+ PDF Chat Explicit formulas for infinitely many Shimura curves in genus $4$ 2018 Samuel Grushevsky
Martin Möller
+ An explicit solution to the weak Schottky problem 2017 Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat The degree of the Gauss map of the theta divisor 2017 Giulio Codogni
Samuel Grushevsky
Edoardo Sernesi
+ PDF Chat Powers of the Theta Divisor and Relations in the Tautological Ring 2017 Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
+ Real-normalized differentials: limits on stable curves 2017 Samuel Grushevsky
I. M. Krichever
Chaya Norton
+ Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties 2017 Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
+ PDF Chat Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić) 2017 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ PDF Chat Vector-Valued Modular Forms and the Gauss Map 2017 Francesco Dalla Piazza
Alessio Fiorentino
Samuel Grushevsky
Sara Perna
Riccardo Salvati Manni
+ Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties 2017 Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
+ Real-normalized differentials: limits on stable curves 2017 Samuel Grushevsky
I. M. Krichever
Chaya Norton
+ An explicit solution to the weak Schottky problem 2017 Hershel M. Farkas
Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat The intersection cohomology of the Satake compactification of $${\mathcal {A}}_g$$ for $$g \le 4$$ 2016 Samuel Grushevsky
Klaus Hulek
+ Powers of the theta divisor and relations in the tautological ring 2016 Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
+ The decomposition theorem and the Intersection cohomology of the Satake-Baily-Borel compactification of ${\mathcal A}_g$ for small genus 2016 Samuel Grushevsky
Klaus Hulek
+ The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g\le 4$ 2016 Samuel Grushevsky
Klaus Hulek
+ Strata of $k$-differentials 2016 Matt Bainbridge
Dawei Chen
Quentin Gendron
Samuel Grushevsky
Martin Moeller
+ The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g\le 4$ 2016 Samuel Grushevsky
Klaus Hulek
+ Powers of the theta divisor and relations in the tautological ring 2016 Emily Clader
Samuel Grushevsky
Felix Janda
Dmitry Zakharov
+ PDF Chat Stable cohomology of the perfect cone toroidal compactification of 𝒜<sub> <i>g</i> </sub> 2015 Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
+ Explicit formulas for infinitely many Shimura curves in genus 4 2015 Samuel Grushevsky
Martin Moeller
+ Shimura Curves within the Locus of Hyperelliptic Jacobians in Genus 3: Table 1. 2015 Samuel Grushevsky
Martin Möller
+ PDF Chat On the Coble quartic 2015 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Siegel modular forms of genus 2 and level 2 2015 Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
+ PDF Chat Real-Normalized Differentials and the Elliptic Calogero-Moser System 2015 Samuel Grushevsky
I. M. Krichever
+ Explicit formulas for infinitely many Shimura curves in genus 4 2015 Samuel Grushevsky
Martin Moeller
+ Vector-valued modular forms and the Gauss map 2015 Francesco Dalla Piazza
Alessio Fiorentino
Samuel Grushevsky
Sara Perna
Riccardo Salvati Manni
+ Siegel modular forms of genus 2 and level 2 (with an appendix by Shigeru Mukai) 2015 Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
Shigeru Mukai
+ PDF Chat Singularities of theta divisors and the geometry of $\mathcal A_5$ 2014 Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
+ PDF Chat The double ramification cycle and the theta divisor 2014 Samuel Grushevsky
Dmitry Zakharov
+ PDF Chat The zero section of the universal semiabelian variety and the double ramification cycle 2014 Samuel Grushevsky
Dmitry Zakharov
+ Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties 2014 Sebastian Casalaina‐Martin
Samuel Grushevsky
Klaus Hulek
Radu Laza
+ PDF Chat The Prym Map on Divisors, and the Slope of A5 2013 Samuel Grushevsky
Riccardo Salvati Manni
+ Real-normalized differentials and the geometry of the moduli space of curves 2013 Samuel Grushevsky
+ Shimura curves within the locus of hyperelliptic Jacobians in genus three 2013 Samuel Grushevsky
Martin Moeller
+ Stable cohomology of the perfect cone toroidal compactification of the moduli space of abelian varieties 2013 Samuel Grushevsky
Klaus Hulek
Orsola Tommasi
+ Siegel modular forms of genus 2 and level 2 2013 Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
+ Siegel modular forms of genus 2 and level 2 2013 Fabien Cléry
Gerard van der Geer
Samuel Grushevsky
+ Shimura curves within the locus of hyperelliptic Jacobians in genus three 2013 Samuel Grushevsky
Martin Moeller
+ On the Coble quartic 2012 Samuel Grushevsky
Riccardo Salvati Manni
+ The double ramification cycle and the theta divisor 2012 Samuel Grushevsky
Dmitry Zakharov
+ PDF Chat The Scorza correspondence in genus 3 2012 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat The class of the locus of intermediate Jacobians of cubic threefolds 2012 Samuel Grushevsky
Klaus Hulek
+ Geometry of theta divisors --- a survey 2012 Samuel Grushevsky
Klaus Hulek
+ The double ramification cycle and the theta divisor 2012 Samuel Grushevsky
Dmitry Zakharov
+ On the Coble quartic 2012 Samuel Grushevsky
Riccardo Salvati Manni
+ Singularities of theta divisors and the geometry of A_5 2011 Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
+ Foliations on the moduli space of curves, vanishing in cohomology, and Calogero-Moser curves 2011 Samuel Grushevsky
I. M. Krichever
+ PDF Chat The superstring cosmological constant and the Schottky form in genus 5 2011 Samuel Grushevsky
Riccardo Salvati Manni
+ The Prym map on divisors, and the slope of A_5 2011 Samuel Grushevsky
Riccardo Salvati Manni
Klaus Hulek
+ Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci 2011 Samuel Grushevsky
Klaus Hulek
+ PDF Chat Principally Polarized Semi-Abelic Varieties of Small Torus Rank, and the Andreotti-Mayer Loci 2011 Samuel Grushevsky
Klaus Hulek
+ Singularities of theta divisors and the geometry of A_5 2011 Gavril Farkas
Samuel Grushevsky
Riccardo Salvati Manni
Alessandro Verra
+ Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci 2011 Samuel Grushevsky
Klaus Hulek
+ The Prym map on divisors, and the slope of A_5 2011 Samuel Grushevsky
Riccardo Salvati Manni
Klaus Hulek
+ Real-normalized differentials and the elliptic Calogero-Moser system 2011 Samuel Grushevsky
I. M. Krichever
+ The Schottky Problem 2010 Samuel Grushevsky
+ The Scorza correspondence in genus 3 2010 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants 2010 Samuel Grushevsky
I. M. Krichever
+ The Schottky Problem 2010 Samuel Grushevsky
+ The Scorza correspondence in genus 3 2010 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat A Special Case of the Γ00 Conjecture 2010 Samuel Grushevsky
+ PDF Chat The Vanishing of Two-Point Functions for Three-Loop Superstring Scattering Amplitudes 2009 Samuel Grushevsky
Riccardo Salvati Manni
+ Some intersection numbers of divisors on toroidal compactifications of 𝒜_{ℊ} 2009 Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
+ PDF Chat The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces 2009 Samuel Grushevsky
I. M. Krichever
+ Geometry of 𝒜_{ℊ} and its compactifications 2009 Samuel Grushevsky
+ PDF Chat The loci of abelian varieties with points of high multiplicity on the theta divisor 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Superstring Scattering Amplitudes in Higher Genus 2008 Samuel Grushevsky
+ On the cosmological constant for the chiral superstring measure 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ The superstring cosmological constant and the Schottky form in genus 5 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ A special case of the $\Gamma_{00}$ conjecture 2008 Samuel Grushevsky
+ PDF Chat Jacobians with a vanishing theta-null in genus 4 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces 2008 Samuel Grushevsky
I. M. Krichever
+ Some Intersections in the Poincare Bundle and the Universal Theta Divisor on (A)over-bar(g) 2008 Samuel Grushevsky
David Lehavi
+ The loci of abelian varieties with points of high multiplicity on the theta divisor 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on 2008 Samuel Grushevsky
David Lehavi
+ The superstring cosmological constant and the Schottky form in genus 5 2008 Samuel Grushevsky
Riccardo Salvati Manni
+ A special case of the $Γ_{00}$ conjecture 2008 Samuel Grushevsky
+ Geometry of A_g and Its Compactifications 2007 Samuel Grushevsky
+ PDF Chat Singularities of the Theta Divisor at Points of Order Two 2007 Samuel Grushevsky
Riccardo Salvati Manni
+ Some intersection numbers of divisors on toroidal compactifications of A_g 2007 Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
+ Singularities of the theta divisor at points of order two 2007 Samuel Grushevsky
Riccardo Salvati Manni
+ Geometry of A_g and Its Compactifications 2007 Samuel Grushevsky
+ INTERSECTION THEORY OF TOROIDAL COMPACTIFICATIONS OF ${\cal A}_4$ 2006 Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
+ PDF Chat Theta functions of arbitrary order and their derivatives 2006 Samuel Grushevsky
Riccardo Salvati Manni
+ Jacobians with a vanishing theta-null in genus 4 2006 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat Some intersections in the Poincare bundle, and the universal theta divisor on the moduli space of (semi)abelian varieties 2005 Samuel Grushevsky
David Lehavi
+ A_6 is of general type 2005 Samuel Grushevsky
David Lehavi
+ PDF Chat Multiplier ideals in algebraic geometry 2005 Samuel Grushevsky
+ PDF Chat Two generalizations of Jacobi’s derivative formula 2005 Samuel Grushevsky
Riccardo Salvati Manni
+ Intersection theory of toroidal compactifications of A_4 2005 Cord Erdenberger
Samuel Grushevsky
Klaus Hulek
+ Cubic equations for the hyperelliptic locus 2005 Samuel Grushevsky
+ PDF Chat Errata to “Cubic equations for the hyperelliptic locus”, Asian J. Math., Vol. 8, No. 1, 161--172, 2004 2005 Samuel Grushevsky
+ Multiplier ideals in algebraic geometry 2005 Samuel Grushevsky
+ PDF Chat Gradients of odd theta functions 2004 Samuel Grushevsky
Riccardo Salvati Manni
+ The degree of the Jacobian locus and the Schottky problem 2004 Samuel Grushevsky
+ PDF Chat CUBIC EQUATIONS FOR THE HYPERELLIPTIC LOCUS 2004 Samuel Grushevsky
+ Theta functions of arbitrary order and their derivatives 2004 Samuel Grushevsky
Riccardo Salvati Manni
+ Gradients of odd theta functions 2003 Samuel Grushevsky
Riccardo Salvati Manni
+ Two generalizations of Jacobi's derivative formula 2003 Samuel Grushevsky
Riccardo Salvati Manni
+ PDF Chat An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces 2001 Samuel Grushevsky
+ Explicit upper bound for the Weil-Petersson volumes 2000 Samuel Grushevsky
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ On period relations for abelian integrals on algebraic curves 1967 Aldo Andreotti
A. L. Mayer
21
+ PDF Chat Perfect forms and the moduli space of abelian varieties 2005 N. I. Shepherd‐Barron
18
+ Kummer Varieties and the Moduli Spaces of Abelian Varieties 1986 Bert van Geemen
Gerard van der Geer
17
+ PDF Chat Singularities of theta divisors and the birational geometry of irregular varieties 1997 Lawrence Ein
Robert Lazarsfeld
16
+ On the Kodaira dimension of the Siegel modular variety 1983 David Mumford
14
+ PDF Chat Complete Moduli in the Presence of Semiabelian Group Action 2002 Valery Alexeev
14
+ PDF Chat Prym varieties and the Schottky problem 1977 Arnaud Beauville
14
+ Schottky’s Invariant and Quadratic Forms 1981 Jun-ichi Igusa
13
+ Cycles on the Moduli Space of Abelian Varieties 1999 Gerard van der Geer
12
+ The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisor 1999 Ciro Ciliberto
Gerard van der Geer
12
+ On the Riemann-Jacobi formula 1979 John D. Fay
12
+ On Jacobi's Derivative Formula and its Generalizations 1980 Jun-ichi Igusa
11
+ The Chow ring of the moduli space of abelian threefolds 1998 G.B.M. van der Geer
11
+ PDF Chat The moduli space of cubic threefolds via degenerations of the intermediate Jacobian 2009 Sebastian Casalaina‐Martin
Radu Laza
11
+ PDF Chat Geometry of Algebraic Curves 1985 Enrico Arbarello
Maurizio Cornalba
P. A. Griffiths
Joseph Harris
11
+ A Criterion for Jacobi Varieties 1984 Gerald E. Welters
11
+ Andreotti-Mayer loci and the Schottky problem 2007 Ciro Ciliberto
Gerard van der Geer
11
+ Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians 1999 Carel Faber
10
+ PDF Chat Gradients of odd theta functions 2004 Samuel Grushevsky
Riccardo Salvati Manni
10
+ PDF Chat Theta Functions on Riemann Surfaces 1973 John D. Fay
10
+ PDF Chat Singularities of the Theta Divisor at Points of Order Two 2007 Samuel Grushevsky
Riccardo Salvati Manni
10
+ PDF Chat Characterizing Jacobians via trisecants of the Kummer variety 2010 I. M. Krichever
9
+ On the irreducibility of Schottky's divisor 1982 Jun-ichi Igusa
9
+ PDF Chat Jacobians with a vanishing theta-null in genus 4 2008 Samuel Grushevsky
Riccardo Salvati Manni
9
+ PDF Chat Chern Classes of Gauss–Manin Bundles of Weight 1 Vanish 2002 Hélène Esnault
Eckart Viehweg
9
+ Characterization of Jacobian varieties in terms of soliton equations 1986 Takahiro Shiota
9
+ PDF Chat The loci of abelian varieties with points of high multiplicity on the theta divisor 2008 Samuel Grushevsky
Riccardo Salvati Manni
9
+ Period Relations of Schottky Type on Riemann Surfaces 1970 Hershel M. Farkas
H. E. Rauch
8
+ PDF Chat Towards an Enumerative Geometry of the Moduli Space of Curves 1983 David Mumford
8
+ PDF Chat Complex Abelian Varieties 2004 Christina Birkenhake
Herbert Lange
8
+ PDF Chat The class of the locus of intermediate Jacobians of cubic threefolds 2012 Samuel Grushevsky
Klaus Hulek
8
+ On the Kodaira dimension of the moduli space of abelian varieties 1982 Yung-sheng Tai
8
+ PDF Chat Integrable linear equations and the Riemann-Schottky problem 2007 I. M. Krichever
8
+ PDF Chat The Rational Cohomology Ring of the Moduli Space of Abelian $3$-folds 2002 Richard Hain
7
+ PDF Chat Singular Modular Forms and Theta Relations 1991 Eberhard Freitag
7
+ The schottky problem 1988 Ron Donagi
7
+ PDF Chat Two generalizations of Jacobi’s derivative formula 2005 Samuel Grushevsky
Riccardo Salvati Manni
7
+ PDF Chat Comparing perfect and 2nd Voronoi decompositions: the matroidal locus 2012 Margarida Melo
Filippo Viviani
7
+ Motivic decomposition of abelian schemes and the Fourier transform. 1991 Ch. Deninger
Jacob P. Murre
7
+ PDF Chat Relative virtual localization and vanishing of tautological classes on moduli spaces of curves 2005 Tom Graber
Ravi Vakil
7
+ PDF Chat On the tautological ring of ℳ g 1995 Eduard Looijenga
7
+ Siegel modular forms vanishing on the moduli space of curves 1984 Bert van Geemen
7
+ PDF Chat Cubic threefolds and abelian varieties of dimension five 2004 Sebastian Casalaina‐Martin
Robert Friedman
7
+ PDF Chat Principally Polarized Semi-Abelic Varieties of Small Torus Rank, and the Andreotti-Mayer Loci 2011 Samuel Grushevsky
Klaus Hulek
7
+ PDF Chat The nef cone of toroidal compactifications of ${\cal A}_4$ 2004 Klaus Hulek
G. K. Sankaran
6
+ PDF Chat Theta Functions on the Theta Divisor 2010 Robin de Jong
6
+ PDF Chat The Vanishing of Two-Point Functions for Three-Loop Superstring Scattering Amplitudes 2009 Samuel Grushevsky
Riccardo Salvati Manni
6
+ PDF Chat On Mumford's construction of degenerating abelian varieties 1999 Valery Alexeev
Iku Nakamura
6
+ PDF Chat The Empty Sphere 1987 Robert Erdahl
S. S. Ryshkov
6
+ PDF Chat Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants 2010 Samuel Grushevsky
I. M. Krichever
6