Jennifer Balakrishnan

Jennifer Balakrishnan's AcademicInfluence.com Rankings

Mathematics

#2884

World Rank

#4363

Historical Rank

#1111

USA Rank

Measure Theory

#4604

World Rank

#5390

Historical Rank

#1276

USA Rank

mathematics Degrees

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Mathematics

Why Is Jennifer Balakrishnan Influential?

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According to Wikipedia, Jennifer Shyamala Sayaka Balakrishnan is an American mathematician known for leading a team that solved the problem of the "cursed curve", a Diophantine equation that was known for being "famously difficult". More generally, Balakrishnan specializes in algorithmic number theory and arithmetic geometry. She is the Clare Boothe Luce Associate Professor at Boston University.

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Jennifer Balakrishnan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Explicit Chabauty—Kim for the split Cartan modular curve of level 13 (2017) (83)
Quadratic Chabauty and rational points, I: p-adic heights (2016) (45)
Explicit Coleman Integration for Hyperelliptic Curves (2010) (44)
A non-abelian conjecture of Tate–Shafarevich type for hyperbolic curves (2012) (32)
Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties (2017) (30)
Constructing genus 3 hyperelliptic Jacobians with CM (2016) (26)
Appendix and erratum to “Massey products for elliptic curves of rank 1” (2011) (24)
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks (2016) (22)
Iterated Coleman integration for hyperelliptic curves (2013) (20)
Coleman-Gross height pairings and the $p$-adic sigma function (2012) (19)
Explicit quadratic Chabauty over number fields (2019) (19)
Quadratic Chabauty for modular curves: Algorithms and examples (2021) (19)
Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture (2019) (18)
Explicit Coleman integration for curves (2017) (18)
Computing integral points on hyperelliptic curves using quadratic Chabauty (2015) (18)
Variations of Lehmer's Conjecture for Ramanujan's tau-function (2020) (17)
Pairings on hyperelliptic curves (2009) (17)
Chabauty–Coleman Experiments for Genus 3 Hyperelliptic Curves (2018) (17)
An effective Chabauty–Kim theorem (2018) (16)
Computing local p-adic height pairings on hyperelliptic curves (2010) (15)
p-ADIC HEIGHT PAIRINGS AND INTEGRAL POINTS ON HYPERELLIPTIC CURVES (2013) (14)
Variants of Lehmer's speculation for newforms (2020) (14)
A non-abelian conjecture of Birch and Swinnerton-Dyer type for hyperbolic curves (2012) (12)
COLEMAN INTEGRATION FOR EVEN DEGREE MODELS OF HYPERELLIPTIC CURVES (2015) (11)
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties (2012) (10)
Coleman integration for hyperelliptic curves : algorithms and applications (2011) (6)
p-adic heights of Heegner points and Λ-adic regulators (2014) (5)
Shadow Lines in the Arithmetic of Elliptic Curves (2016) (4)
Even Values of Ramanujan’s Tau-Function (2021) (4)
On 3-adic heights on elliptic curves (2016) (3)
Explicit p-adic methods for elliptic and hyperelliptic curves (2015) (3)
Comparing arithmetic intersection formulas for denominators of Igusa class polynomials (2012) (2)
What is...A Coleman Integral? (2019) (0)
Computations Motivated by the p-adic Birch and Swinnerton-Dyer Conjecture (2014) (0)
Relative K-Groups and Rings of Integers (2019) (0)
A Survey of Results Concerning the Birch and Swinnerton-Dyer Conjecture over Function Fields (0)
Women in Numbers 4 (2017) (0)
ANTS X Proceedings of the Tenth Algorithmic Number Theory Symposium msp Iterated Coleman integration for hyperelliptic curves (2012) (0)
A non-abelian conjecture of Tate–Shafarevich type for hyperbolic curves (2018) (0)

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Jennifer Balakrishnan's Academic­Influence.com Rankings