Manjul Bhargava

Results: 38



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11Number theorists / Clay Mathematics Institute / Manjul Bhargava / Richard Hamilton / Morgan Prize / Sergei Gukov / Mathematical Sciences Research Institute / Clay Research Award / Arthur Jaffe / Mathematics / Science / Academia

Contents Clay Mathematics Institute Letter from the President

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Source URL: www2.maths.ox.ac.uk

Language: English - Date: 2007-10-03 11:59:13
12Number theory / Elliptic curves / Algebraic curves / Algebraic number theory / Group theory / Birch and Swinnerton-Dyer conjecture / Supersingular elliptic curve / P-adic number / Galois module / Abstract algebra / Mathematics / Algebra

A majority of elliptic curves over Q satisfy the Birch and Swinnerton-Dyer conjecture arXiv:1407.1826v2 [math.NT] 17 Jul[removed]Manjul Bhargava, Christopher Skinner, and Wei Zhang

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Source URL: arxiv.org

Language: English - Date: 2014-07-17 20:38:44
13Number theory / Elliptic curves / Analytic number theory / Group theory / Modular forms / Birch and Swinnerton-Dyer conjecture / Curve / J-invariant / Tate–Shafarevich group / Mathematics / Abstract algebra / Mathematical analysis

The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 arXiv:1312.7859v1 [math.NT] 30 Dec[removed]Manjul Bhargava and Arul Shankar

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Source URL: arxiv.org

Language: English - Date: 2013-12-31 01:15:54
14Turing Award laureates / James Harris Simons / Madoff investment scandal / Richard M. Karp / Manjul Bhargava / Constraint satisfaction / Hirosi Ooguri / Mathematical logic / Theoretical computer science / Science / Mathematics / Knowledge

A N N U A L R E P O R T[removed] Investing in PEOPLE Progress depends on investment in the people who dedicate themselves to investigation, innovation and the pursuit of knowledge.

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Source URL: simonsfoundation.s3.amazonaws.com

Language: English - Date: 2013-11-18 13:41:33
15Quadratic forms / 15 and 290 theorems / Prime number / Number / Modular form / Lattice / Theta function / Smith–Minkowski–Siegel mass formula / Unimodular lattice / Mathematics / Abstract algebra / Mathematical analysis

Universal quadratic forms and the 290-Theorem Manjul Bhargava and Jonathan Hanke 1 Introduction

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Source URL: www.wordpress.jonhanke.com

Language: English - Date: 2011-11-28 18:55:34
16Quadratic forms / Algebraic number theory / Field theory / Algebraic curves / Manjul Bhargava / Hyperelliptic curve / 15 and 290 theorems / Discriminant / Binary quadratic form / Mathematics / Abstract algebra / Algebra

The Work of Manjul Bhargava Manjul Bhargava’s work in number theory has had a profound influence on the field. A mathematician of extraordinary creativity, he has a taste for simple problems of timeless beauty, which h

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Source URL: www.mathunion.org

Language: English - Date: 2014-07-30 08:41:42
17Artin L-function / Class field theory / Algebraic number theory / Algebraic number field / Group / Representation theory of finite groups / Abstract algebra / Algebra / Mathematics

ON THE AVERAGE NUMBER OF OCTAHEDRAL NEWFORMS OF PRIME LEVEL MANJUL BHARGAVA AND EKNATH GHATE Abstract. We show that, on average, the number of octahedral newforms of prime level is bounded by a constant.

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Source URL: www.math.tifr.res.in

Language: English - Date: 2014-07-07 01:59:29
18Algebraic number theory / Cubic field / Algebraic number field / XTR / Discriminant / Discriminant of an algebraic number field / Elliptic curve / Abstract algebra / Algebra / Mathematics

ERROR ESTIMATES FOR THE DAVENPORT–HEILBRONN THEOREMS KARIM BELABAS, MANJUL BHARGAVA, AND CARL POMERANCE Abstract. We obtain the first known power-saving remainder terms for the theorems of Davenport and Heilbronn on th

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2009-07-07 15:32:50
19Algebraic number theory / Manjul Bhargava / Class field theory / Kummer theory / Ideal class group / Galois group / Algebraic number field / Cubic field / Field extension / Abstract algebra / Algebra / Field theory

ARIZONA WINTER SCHOOL 2014 COURSE OUTLINE AND PROJECT DESCRIPTION: ASYMPTOTICS FOR NUMBER FIELDS AND CLASS GROUPS MELANIE MATCHETT WOOD ASSISTED BY: ROB HARRON

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Source URL: swc.math.arizona.edu

Language: English - Date: 2013-12-13 03:01:36
20Algebraic number theory / Quadratic forms / Field theory / Algebraic geometry / Multilinear algebra / Binary quadratic form / Ideal class group / Quadratic field / Discriminant / Algebra / Abstract algebra / Mathematics

Higher composition laws and applications Manjul Bhargava∗ Abstract. In 1801 Gauss laid down a remarkable law of composition on integral binary quadratic forms. This discovery, known as Gauss composition, not only had a

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Source URL: www.icm2006.org

Language: English - Date: 2013-10-02 08:04:05
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