Abhinav Kumar

Statistics

Publications

Citations

887

H-Index

Active since

2007

Affiliations

Massachusetts Institute of Technology(Current)

Microsoft (United States)

Stony Brook University

Microsoft Research New England (United States)

Rice University

Abhinav Kumar is an author at Massachusetts Institute of Technology specializing in engineering, mechanical engineering, and mathematical programming.

ORCID

Top concepts

EngineeringMechanical EngineeringMathematical ProgrammingPhysicsHeat TransferRefrigerationSpectral TheoryVibration ControlThermal ManagementThermal Engineering

Publications per year

2007–2025

Publications

The sphere packing problem in dimension $24$

Henry Cohn, Abhinav Kumar, Stephen D. Miller et al. · Annals of Mathematics · 2017 · 283 citations · Full text

Universal optimality of the $E_8$ and Leech lattices and interpolation formulas

Henry Cohn, Abhinav Kumar, Stephen D. Miller et al. · Annals of Mathematics · 2022 · 78 citations · Full text

Spectral Theory, Mathematical Programming, Engineering +17

Algorithmic design of self-assembling structures

Henry Cohn, Abhinav Kumar · Proceedings of the National Academy of Sciences · 2009 · 72 citations · Full text

Mathematical Programming, Engineering, Computer-aided Design +19

Elliptic fibrations on a generic Jacobian Kummer surface

Abhinav Kumar · Journal of Algebraic Geometry · 2014 · 61 citations · Full text

Math Xmlns, Geometry, Riemannian Geometry +5

Optimal simplices and codes in projective spaces

Henry Cohn, Abhinav Kumar, Gregory Minton · Geometry & Topology · 2016 · 54 citations · Full text

1–5 of 20