Identifiers
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name variant
Manjul Bhargava
0.60 · backfill
Papers (27)
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Geometry-of-numbers methods over global fields II: Coregular representations
math.NT · 2026 · author #1
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Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
math.NT · 2017 · author #1
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A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture
math.NT · 2014 · author #1
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On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields
math.NT · 2014 · author #1
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A positive proportion of plane cubics fail the Hasse principle
math.NT · 2014 · author #1
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The geometric sieve and the density of squarefree values of invariant polynomials
math.NT · 2014 · author #1
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The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders
math.NT · 2014 · author #1
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A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one
math.NT · 2014 · author #1
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The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1
math.NT · 2013 · author #1
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The average number of elements in the 4-Selmer groups of elliptic curves is 7
math.NT · 2013 · author #1
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Orbit Parametrizations for K3 Surfaces
math.AG · 2013 · author #1
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The proportion of plane cubic curves over ${\mathbb Q}$ that everywhere locally have a point
math.NT · 2013 · author #1
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What is the probability that a random integral quadratic form in $n$ variables is isotropic?
math.NT · 2013 · author #1
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A positive proportion of locally soluble hyperelliptic curves over $\mathbb Q$ have no point over any odd degree extension
math.NT · 2013 · author #1
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Arithmetic invariant theory II
math.NT · 2013 · author #1
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The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
math.NT · 2013 · author #1
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Most hyperelliptic curves over Q have no rational points
math.NT · 2013 · author #1
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Coregular spaces and genus one curves
math.AG · 2013 · author #1
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Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
math.NT · 2013 · author #1
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The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point
math.NT · 2012 · author #1
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Arithmetic invariant theory
math.NT · 2012 · author #1
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On the number of cubic orders of bounded discriminant having automorphism group $C_3$, and related problems
math.NT · 2012 · author #1
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Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
math.NT · 2010 · author #1
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On a notion of "Galois closure" for extensions of rings
math.AC · 2010 · author #1
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Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
math.NT · 2010 · author #1
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The density of discriminants of quintic rings and fields
math.NT · 2010 · author #1
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On the Davenport-Heilbronn theorems and second order terms
math.NT · 2010 · author #1
Mentions
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1402.1131
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Manjul Bhargava
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1402.0031
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Manjul Bhargava
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1401.5875
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Manjul Bhargava
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1401.0233
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Manjul Bhargava
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1312.7859
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Manjul Bhargava
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1312.7333
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Manjul Bhargava
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1312.0898
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Manjul Bhargava
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1311.5578
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Manjul Bhargava
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1311.5543
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Manjul Bhargava
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1310.7692
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Manjul Bhargava
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1310.7689
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Manjul Bhargava
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1309.2025
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Manjul Bhargava
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1308.0395
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Manjul Bhargava
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1306.4424
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Manjul Bhargava
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1304.3971
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Manjul Bhargava
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1208.1007
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Manjul Bhargava
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1206.4774
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Manjul Bhargava
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1206.4746
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Manjul Bhargava
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1007.0052
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Manjul Bhargava
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1006.2562
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Manjul Bhargava
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1006.1002
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Manjul Bhargava
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1005.5578
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Manjul Bhargava
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1005.0672
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Manjul Bhargava