Jacob Tsimerman

Contact info

Publications

		Functional Transcendence of Periods and the Geometric André-Grothendieck Period Conjecture with Benjamin Bakker Forum of Mathematics Sigma, 13 , Paper No. e97 (2025)
		Abelian varieties not isogenous to Jacobians over global fields with Ananth Shankar Duke Mathematical Journal, accepted (2025)
		Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections with Paolo Corvaja, Umberto Zannier Annales l'Institut Fourier, accepted (2025)
		Definability of mixed period maps with Benjamin Bakker, Yohan Brunebarbe, Bruno Klingler Journal of the European Mathematical Society 26, No. 6, 2191-2209 (2024)
		Towards an elementary formulation of the Riemann hypothesis in terms of permutation groups with Will Cavendish The Ramanujan Journal 64 (2), 343-353 (2024)
		Quasiprojectivity of images of mixed period maps with Benjamin Bakker, Yohan Brunebarbe Journal für die reine und angewandte Mathematik 804, 1970-219 (2023)
		Heuristics for the asymptotics of the number of Sn-number fields with Arul Shankar Journal of the London Mathematical Society 107 (5), 1613-1634 (2023)
		Finiteness for self-dual classes in integral variations of Hodge structure with Benjamin Bakker, Thomas W. Grimm, Christian Schnell Épijournal de Géométrie Algébrique, 7, Article 13 (2023)
		o-minimal GAGA and a conjecture of Griffiths with Benjamin Bakker, Yohan Brunebarbe Inventiones mathematicae 587, 163-228 (2022)
		Independence of CM points in elliptic curves with Jonathan Pila Journal of the European Mathematical Society 24 (9), 3161-3182 (2021)
		Appendix to: Bounds for the stalks of perverse sheaves in characteristic p and a conjecture of Shende and Tsimerman Inventiones mathematicae 208 (2020)
		Tame Topology of Arithmetic Quotients and Algebraicity of Hodge Loci with Benjamin Bakker, Bruno Klingler Journal of the American Mathematical Society 33, 917-939 (2020)
		Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves with Manjul Bhargava, Arul Shankar, Takashi Taniguchi, Frank Thorne, Yongqiang Zhao Journal of the American Mathematical Society 33 (4), 1087-1099 (2020)
		The Ax-Schanuel Conjecture for Variations of Hodge Structures with Benjamin Bakker Inventiones mathematicae 217 (1), 77-94 (2019)
		Ax-Schanuel for Shimura Varieties with Ngaiming Mok and Jonathan Pila Annals of Mathematics, 189 (3), 945-978 (2019)
		Cohen Lenstra Heuristics for Étale Group Schemes and Symplectic Pairings with Michael Lipnowski Compositio Mathematica 155 (4), 758-775 (2019)
		Constructing Elliptic Curves from Galois Representations with Andrew Snowden Compositio Mathematica 154 (10), 2045-2054 (2018)
		Unlikely intersections in finite characteristic with Ananth Shankar Forum of Mathematics, Sigma 6 (2018)
		How large is \(\mathscr{A}_g(\mathbb{F}_q)\)? with Michael Lipnowski Duke Mathematical Journal 167 (18), 3403-3453 (2018)
		The geometric torsion conjecture for abelian varieties with real multiplication with Benjamin Bakker Journal of Differential Geometry 109 (3), 379-409 (2018)
		The Kodaira dimension of complex hyperbolic manifolds with cusps with Benjamin Bakker Compositio Mathematica 154 (3), 549-564 (2018)
		Equidistribution in Bun2(\(\mathbb{P}^1\)) with Vivek Shende Duke Mathematical Journal 166, no. 18 (2017)
		Multiplicative relations among singular moduli with Jonathan Pila Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 no. 4, 1357-1382 (2017)
		p-torsion monodromy representations of elliptic curves over geometric function fields with Benjamin Bakker Annals of Mathematics 184, No. 3 , 709-744 (2016)
		Ax-Schanuel for the j-function with Jonathan Pila Duke Mathematical Journal 165 (13), 2587-2605 (2016)
		The André-Oort conjecture for \(\mathscr{A}_g\) Annals of Mathematics, 187 (2), 379-390 (2015)
		Ax-Lindemann for \(\mathscr{A}_g\) with Jonathan Pila Annals of Mathematics 179, No. 2 , 659-681 (2014)
		Counting S5 quintic fields with a power saving error term with Arul Shankar Forum of Mathematics, Sigma 2 (2014)
		The André-Oort conjecture for the moduli space of Abelian Surfaces with Jonathan Pila Compositio Mathematica 149 , Issue 02, 204-216 (2013)
		Non-split Sums of Coefficients of GL(2)-Automorphic Forms with Nicholas Templier Israel Journal of Mathematics 195 ,Issue 2 , 677-723 (2013)
		The Existence of an Abelian Variety over the Algebraic Numbers isogenous to no Jacobian Annals of Mathematics 176 , 637-650 (2012)
		Brauer-Siegel for Arithmetic Tori and lower bounds for Galois orbits of special points Journal of the American Mathematical Society 25 , 1091-1117 (2012)
		Local spectral equidistribution for Siegel modular forms and applications with Emmanuel Kowalski and Abishek Saha Compositio Mathematica 148, Issue 2, 335-384 (2012)
		A note on Fourier coefficients of Poincare series with Emmanuel Kowalski and Abishek Saha Mathematika 57, Issue 1, 31-40 (2011)
		Metaplectic Ramanujan conjecture over function fields with applications to quadratic forms with Ali Altuğ International Mathematics Research Notices (13), 3465-3558 (2014)
		On the Davenport-Heilbronn theorems and second order terms with Manjul Bhargava and Arul Shankar Inventiones mathematicae 193 , Issue 2, 439-499 (2013)
		Sum-product estimates for rational functions with Boris Bukh Proc. Lond. Math. Soc. 104 , 1-26 (2012)
		An analysis of a war-like card game with Boris Alexeev American Mathematical Monthly 119 , no. 9, 793-795 (2012)
		Equations resolving a conjecture of Rado on partition regularity with Boris Alexeev Journal of Combinatorial Theory, Series A 117 , no. 7, 1008-1010 (2010)
		On Linnik and Selbergs Conjecture about Sums of Kloosterman Sums with Peter Sarnak Manin Festschrift 157, Progress in Math., Birkhauser. (2010)

Preprints

		Finiteness of function field-valued points on exceptional Shimura varieties with Benjamin Bakker, Ananth Shankar (2025)
		Secondary terms in the counting functions of quartic fields I with Arul Shankar (2025)
		Secondary terms in the counting functions of quartic fields II with Arul Shankar (2025)
		On the generalized toroidal completion of period mappings with Haohua Deng (2025)
		Baily-Borel compactifications of period images and the b-semiampleness conjecture with Benjamin Bakker, Stefano Filipazzi, Mirko Mauri (2025)
		Non-trivial bounds on 2,3,4, and 5-torsion in class groups of number fields, conditional on standard L-function conjectures with Arul Shankar (2025)
		Integral Canonical Models of Exceptional Shimura Varieties with Benjamin Bakker, Ananth Shankar (2024)
		Periods in Families and Derivatives of Period Maps with Benjamin Bakker, Jonathan Pila (2024)
		Compact Subvarieties of the Moduli Space of Complex Abelian Varieties with Sam Grushevsky, Gabriele Mondello, Riccardo Salvati Manni (2024)
		Abelian varieties are not quotients of low-dimension Jacobians (2023)
		Ax-Schanuel and exceptional integrability with Jonathan Pila (2022)
		Canonical Heights on Shimura Varieties and the André-Oort Conjecture with Jonathan Pila, Ananth Shankar Appendix by Hélène Esnault and Michael Groechenig (2021)
		Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity with Michael Lipnowski, Will Sawin (2020)
		Densities of eigenspaces of Frobenius and distributions of R-modules with Jack Klys (2019)

Notes

		A proof of Ax-Schanuel using o-minimality Note, Sep 2013.
		A direct proof of Mulmuley's weak #P versus NC result with Boris Alexeev Note, Feb 2009.

Courses

Spring 2020, Linear Algebra - MAT247H1S

Fall 2019, Topology - MAT327H1F

Fall 2019, Problem Solving Seminar - MAT475H1F

Spring 2018, Number Theory - MAT382H1S

Algebraic Number Theory - MAT415H1S

Problem Solving Seminar - MAT495H1S