Manjul Bhargava
Geometry and Topology · 2001–2017
A researcher in the Science corpus: 20 papers; trusts 25 researchers and is trusted by 38 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 85 citations into it; #372 of 7,422 by trust here, #335 by citations
- Algebra and Number Theory — 38 citations into it; #93 of 2,864 by trust here, #78 by citations
- Mathematical Physics — 37 citations into it; #513 of 8,562 by trust here, #435 by citations
- Information Systems — 27 citations into it; #2,370 of 8,771 by trust here, #5,303 by citations
- Computational Theory and Mathematics — 22 citations into it; #2,062 of 12,182 by trust here, #3,924 by citations
- Applied Mathematics — 11 citations into it
- Political Science and International Relations — 6 citations into it
- Statistical and Nonlinear Physics — 5 citations into it
Whom Manjul Bhargava trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- D. R. Heath-Brown
- A. Shankar
- Bjorn Poonen
- B. Gross
- Michael Stoll
- W. Gan
- Tom A. Fisher
- Tim D Browning
- Tim Dokchitser
- M. Young
Who trusts Manjul Bhargava overall
- Melanie Matchett Wood
- Jordan S. Ellenberg
- A. Shankar
- Bjorn Poonen
- B. Gross
- Alexei Oblomkov
- Kiran S. Kedlaya
- L. Pierce
- Akshay Venkatesh
- Xiaoheng Wang
Papers from Manjul Bhargava's perspective
Ordered by how strongly the researchers Manjul Bhargava trusts endorse each paper. Same corpus, a different order for every researcher.
- Random maximal isotropic subspaces and Selmer groups
- The invariants of a genus one curve
- Independence of rational points on twists of a given curve (Compositio Mathematica)
- Random Matrices
- Bertini theorems over finite fields
- The average rank of elliptic curves
- Reflection Principles and Bounds for Class Group Torsion
- The number of extensions of a number field with fixed degree and bounded discriminant
- Fourier coefficients of modular forms on G2
- Integral points on elliptic curves and 3-torsion in class groups
Their papers
- The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point (2012) — 111 citations
- Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants (2007) — 117 citations
- Most hyperelliptic curves over Q have no rational points (2013) — 55 citations
- Coregular spaces and genus one curves (2013) — 59 citations
- Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves (2017) — 86 citations
- Squarefree values of polynomial discriminants I (2016) — 78 citations
- Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces (2015) — 68 citations
- The geometric sieve and the density of squarefree values of invariant polynomials (2014) — 82 citations
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves (2013) — 93 citations
- The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 (2013) — 84 citations
- Arithmetic invariant theory (2012) — 54 citations
- Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 (2010) — 167 citations
- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves (2010) — 239 citations
- On the Davenport–Heilbronn theorems and second order terms (2010) — 150 citations
- Higher composition laws IV: The parametrization of quintic rings (2008) — 100 citations
- The density of discriminants of quartic rings and fields (2005) — 315 citations
- Higher composition laws I: A new view on Gauss composition, and quadratic generalizations (2004) — 184 citations
- Higher composition laws II: On cubic analogues of Gauss composition (2004) — 127 citations
- Higher composition laws III: The parametrization of quartic rings (2004) — 171 citations
- Higher composition laws (2001) — 81 citations