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The
Ax-Schanuel Conjecture for Variations of Hodge
Structures
with Benjamin
Bakker
Inventiones mathematicae 217 (1), (2019) 77-94 |
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Ax-Schanuel for Shimura Varieties
with Jonathan
Pila and Ngaiming Mok
Annals of Mathematics, 189 (3), (2019) 945-978 |
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Cohen
Lenstra Heuristics for Étale Group Schemes and
Symplectic Pairings
with
Michael Lipnowski
Compositio Mathematica 155 (4), (2019) 758-775 |
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Constructing Elliptic Curves from Galois
Representations
with
Andrew Snowden
Compositio Mathematica 154 (10), (2018) 2045-2054
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Unlikely
intersections in finite characteristic
with Ananth
Shankar
Forum of Mathematics, Sigma 6 (2018) |
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How large
is Ag(Fq)?
with
Michael Lipnowski
Duke Mathematical Journal 167 (18), (2018)
3403-3453 |
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The
geometric torsion conjecture for abelian varieties
with real multiplication
with
Benjamin Bakker
Journal of Differential Geometry 109 (3), (2018)
379-409 |
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The
Kodaira dimension of complex hyperbolic manifolds with
cusps
with
Benjamin Bakker
Compositio Mathematica 154 (3), (2018) 549-564 |
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Equidistribution
in Bun2(P1)
with
Vivek Shende
Duke Math. Journal. 166 (2017), no. 18 |
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Multiplicative relations among singular moduli
with
Jonathan Pila
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 4,
1357-1382 |
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p-torsion
monodromy representations of elliptic curves over
geometric function fields
with
Benjamin Bakker
Annals of Mathematics 184, No. 3 (2016), 709-744 |
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The
André-Oort conjecture for Ag
Annals of Mathematics, 187 (2), (2015) 379-390 |
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Ax-Lindemann
for Ag
with
Jonathan Pila
Annals of Mathematics 179, No. 2 (2014), 659-681 |
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Counting S5
quintic fields with a power saving error term
With Arul
Shankar
Forum of Mathematics, Sigma 2 (2014) |
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Ax-Schanuel
for the j-function
with
Jonathan Pila
Duke Mathematical Journal 165 (13), (2016)
2587-2605 |
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The
André-Oort conjecture for the moduli space of Abelian
Surfaces
with
Jonathan Pila
Compositio Mathematica 149 (2013), Issue 02,
204-216 |
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Non-split
Sums of Coefficients of GL(2)-Automorphic Forms
with
Nicholas Templier
Israel Journal of Mathematics 195 (2013),Issue 2 ,
677-723 |
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The
Existence of an Abelian Variety over the Algebraic
Numbers isogenous to no Jacobian
Ann. of Math. 176 (2012), 637-650 |
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Brauer-Siegel
for
Arithmetic Tori and lower bounds for Galois orbits of
special points
J. Amer. Math. Soc. 25 (2012), 1091-1117 |
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Local
spectral equidistribution for Siegel modular forms and
applications
with Abishek
Saha and Emmanuel
Kowalski
Compositio Mathematica 148 (2012), Issue 2,
335-384 |
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A note on
Fourier coefficients of Poincare series
with Abishek
Saha and Emmanuel
Kowalski
Mathematika 57 (2011), Issue 1, 31-40 |
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Metaplectic Ramanujan conjecture over function fields
with applications to quadratic forms
with Ali Altug
International Mathematics Research Notices (13), (2014)
3465-3558 |
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On the
Davenport-Heilbronn theorems and second order terms
with Manjul
Bhargava and Arul Shankar
Inventiones mathematicae 193 (2013), Issue 2,
439-499 |
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Sum-product
estimates for rational functions
with Boris Bukh
Proc. Lond. Math. Soc. 104 (2012),1-26 |
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An
analysis of a war-like card game
with Boris
Alexeev
American Mathematical Monthly 119 (2012), no. 9,
793-795 |
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Equations
resolving a conjecture of Rado on partition regularity
with Boris
Alexeev
Journal of Combinatorial Theory, Series A 117
(2010), no. 7, 1008-1010. |
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On Linnik and Selbergs Conjecture about Sums of
Kloosterman Sums
with Peter
Sarnak
Manin Festschrift 157, Progress in Math., Birkhauser. |
