Universally optimal distribution of points on spheres H Cohn, A Kumar Journal of the American Mathematical Society 20 (1), 99-148, 2007 | 424 | 2007 |
The sphere packing problem in dimension H Cohn, A Kumar, S Miller, D Radchenko, M Viazovska Annals of Mathematics 185 (3), 1017-1033, 2017 | 385 | 2017 |
Optimality and uniqueness of the Leech lattice among lattices H Cohn, A Kumar Annals of mathematics, 1003-1050, 2009 | 170 | 2009 |
Algorithmic design of self-assembling structures H Cohn, A Kumar Proceedings of the National Academy of Sciences 106 (24), 9570-9575, 2009 | 92 | 2009 |
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 | 91 | 2022 |
The densest lattice in twenty-four dimensions H Cohn, A Kumar Electronic Research Announcements of the American Mathematical Society 10 (7 …, 2004 | 72 | 2004 |
K3 surfaces and equations for Hilbert modular surfaces N Elkies, A Kumar Algebra & Number Theory 8 (10), 2297-2411, 2014 | 60 | 2014 |
K3 surfaces associated with curves of genus two A Kumar International Mathematics Research Notices 2008 (9), rnm165-rnm165, 2008 | 54 | 2008 |
Optimal simplices and codes in projective spaces H Cohn, A Kumar, G Minton Geometry & Topology 20 (3), 1289-1357, 2016 | 53 | 2016 |
Elliptic fibrations on a generic Jacobian Kummer surface A Kumar arXiv preprint arXiv:1105.1715, 2011 | 50 | 2011 |
Ground states and formal duality relations in the Gaussian core model H Cohn, A Kumar, A Schürmann Physical Review E 80 (6), 061116, 2009 | 40 | 2009 |
The D 4 Root System Is Not Universally Optimal H Cohn, JH Conway, ND Elkies, A Kumar Experimental Mathematics 16 (3), 313-320, 2007 | 35 | 2007 |
Rigidity of spherical codes H Cohn, Y Jiao, A Kumar, S Torquato Geometry & Topology 15 (4), 2235-2273, 2011 | 27 | 2011 |
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 | 22 | 2015 |
Examples of abelian surfaces with everywhere good reduction L Dembélé, A Kumar Mathematische Annalen 364 (3-4), 1365-1392, 2016 | 20 | 2016 |
Using elimination theory to construct rigid matrices A Kumar, SV Lokam, VM Patankar, MNJ Sarma computational complexity, 1-33, 2009 | 20 | 2009 |
Counterintuitive ground states in soft-core models H Cohn, A Kumar Physical Review E 78 (6), 061113, 2008 | 19 | 2008 |
Algebraic models and arithmetic geometry of Teichmüller curves in genus two A Kumar, RE Mukamel International Mathematics Research Notices 2017 (22), 6894-6942, 2017 | 18 | 2017 |
Real multiplication through explicit correspondences A Kumar, RE Mukamel LMS Journal of Computation and Mathematics 19 (A), 29-42, 2016 | 16 | 2016 |
Orbit Parametrizations for K3 Surfaces M Bhargava, W Ho, A Kumar Forum of Mathematics, Sigma 4, e18, 2016 | 15 | 2016 |