Arul Shankar

Q: What Schools Are Affiliated With Arul Shankar

Arul Shankar is affiliated with the following schools: Princeton University, University of Toronto

Arul Shankar's AcademicInfluence.com Rankings

Arul Shankar

Mathematics

#2898

World Rank

#4377

Historical Rank

Complex Analysis

#43

World Rank

#59

Historical Rank

Number Theory

#114

World Rank

#151

Historical Rank

Group Theory

#562

World Rank

#660

Historical Rank

mathematics Degrees

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Mathematics

Why Is Arul Shankar Influential?

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According to Wikipedia, Arul Shankar is an Indian mathematician at the University of Toronto specializing in number theory, particularly arithmetic statistics. Education He received his B.Sc. in mathematics and computer science from Chennai Mathematical Institute in 2007. He obtained his PhD from Princeton University in 2012 under Manjul Bhargava. Shankar is known for his work, with Bhargava, establishing unconditionally that the average rank of elliptic curves respectively.

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Arul Shankar'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

Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves (2010) (192)
Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 (2010) (131)
On the Davenport–Heilbronn theorems and second order terms (2010) (126)
The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 (2013) (65)
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves (2017) (54)
Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces (2015) (47)
Squarefree values of polynomial discriminants I (2016) (41)
The average number of elements in the 4-Selmer groups of elliptic curves is 7 (2013) (37)
COUNTING $S_5$ -FIELDS WITH A POWER SAVING ERROR TERM (2013) (32)
Odd degree number fields with odd class number (2016) (22)
Rational points on hyperelliptic curves having a marked non-Weierstrass point (2017) (21)
Average size of the 2-Selmer group of Jacobians of monic even hyperelliptic curves (2013) (14)
The number of $D_4$-fields ordered by conductor (2021) (13)
SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN $L$ -FUNCTIONS (2015) (12)
Average Rank of Elliptic Curves [after Manjul Bhargava and Arul Shankar] (2012) (12)
The number of quartic $D_4$-fields ordered by conductor (2017) (11)
The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields (2020) (11)
Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields (2019) (10)
Abelian surfaces over finite fields with prescribed groups (2013) (6)
The average rank of elliptic curves over number fields (2013) (4)
Large families of elliptic curves ordered by conductor (2021) (4)
An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree (2022) (3)
Low-lying zeros of certain families of Artin L-functions (2015) (3)
The second moment of the size of the $2$-Selmer group of elliptic curves (2021) (2)
Families of elliptic curves ordered by conductor (2019) (2)
Squarefree values of polynomial discriminants II (2022) (2)
The mean number of 2-torsion elements in class groups of odd degree number fields arising from binary n-ic forms (2016) (2)
On the Davenport–Heilbronn theorems and second order terms (2012) (2)
Topics in Diophantine Geometry (2014) (1)
On the asymptotics of cubic fields ordered by general invariants (2022) (1)
GEOMETRY-OF-NUMBERS METHODS IN THE CUSP AND APPLICATIONS TO CLASS GROUPS (2021) (1)
BSD implies a non-trivial bound on 5-torsion in class groups of imaginary quadratic fields (2021) (1)
Heuristics for the asymptotics of the number of Sn$S_n$ ‐number fields (2020) (1)
Geometry-of-numbers methods in the cusp (2021) (1)
Counting integral points on symmetric varieties with applications to arithmetic statistics (2023) (0)
The average elliptic curve has few integral (2014) (0)
On two theta function identities of Ramanujan (2022) (0)
Central values of zeta functions of non-Galois cubic fields (2021) (0)
N T ] 3 0 A pr 2 01 9 Families of elliptic curves ordered by conductor Ananth (2019) (0)
AVERAGE RANK OF ELLIPTIC CURVES [ after (2012) (0)
The average elliptic curve has few integral points (2014) (0)

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Other Resources About Arul Shankar

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What Schools Are Affiliated With Arul Shankar?

Arul Shankar is affiliated with the following schools:

Arul Shankar's Academic­Influence.com Rankings

Why Is Arul Shankar Influential?

Arul Shankar's Published Works

Published Works

Other Resources About Arul Shankar

What Schools Are Affiliated With Arul Shankar?

Arul Shankar's AcademicInfluence.com Rankings