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Abhinav Kumar
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Cited by
Year
Universally optimal distribution of points on spheres
H Cohn, A Kumar
Journal of the American Mathematical Society 20 (1), 99-148, 2007
4242007
The sphere packing problem in dimension
H Cohn, A Kumar, S Miller, D Radchenko, M Viazovska
Annals of Mathematics 185 (3), 1017-1033, 2017
3852017
Optimality and uniqueness of the Leech lattice among lattices
H Cohn, A Kumar
Annals of mathematics, 1003-1050, 2009
1702009
Algorithmic design of self-assembling structures
H Cohn, A Kumar
Proceedings of the National Academy of Sciences 106 (24), 9570-9575, 2009
922009
Universal optimality of the and Leech lattices and interpolation formulas
H Cohn, A Kumar, S Miller, D Radchenko, M Viazovska
Annals of Mathematics 196 (3), 983-1082, 2022
912022
The densest lattice in twenty-four dimensions
H Cohn, A Kumar
Electronic Research Announcements of the American Mathematical Society 10 (7, 2004
722004
K3 surfaces and equations for Hilbert modular surfaces
N Elkies, A Kumar
Algebra & Number Theory 8 (10), 2297-2411, 2014
602014
K3 surfaces associated with curves of genus two
A Kumar
International Mathematics Research Notices 2008 (9), rnm165-rnm165, 2008
542008
Optimal simplices and codes in projective spaces
H Cohn, A Kumar, G Minton
Geometry & Topology 20 (3), 1289-1357, 2016
532016
Elliptic fibrations on a generic Jacobian Kummer surface
A Kumar
arXiv preprint arXiv:1105.1715, 2011
502011
Ground states and formal duality relations in the Gaussian core model
H Cohn, A Kumar, A Schürmann
Physical Review E 80 (6), 061116, 2009
402009
The D 4 Root System Is Not Universally Optimal
H Cohn, JH Conway, ND Elkies, A Kumar
Experimental Mathematics 16 (3), 313-320, 2007
352007
Rigidity of spherical codes
H Cohn, Y Jiao, A Kumar, S Torquato
Geometry & Topology 15 (4), 2235-2273, 2011
272011
Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields
A Kumar
Research in the Mathematical Sciences 2, 1-46, 2015
222015
Examples of abelian surfaces with everywhere good reduction
L Dembélé, A Kumar
Mathematische Annalen 364 (3-4), 1365-1392, 2016
202016
Using elimination theory to construct rigid matrices
A Kumar, SV Lokam, VM Patankar, MNJ Sarma
computational complexity, 1-33, 2009
202009
Counterintuitive ground states in soft-core models
H Cohn, A Kumar
Physical Review E 78 (6), 061113, 2008
192008
Algebraic models and arithmetic geometry of Teichmüller curves in genus two
A Kumar, RE Mukamel
International Mathematics Research Notices 2017 (22), 6894-6942, 2017
182017
Real multiplication through explicit correspondences
A Kumar, RE Mukamel
LMS Journal of Computation and Mathematics 19 (A), 29-42, 2016
162016
Orbit Parametrizations for K3 Surfaces
M Bhargava, W Ho, A Kumar
Forum of Mathematics, Sigma 4, e18, 2016
152016
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