Hodge theory for combinatorial geometries K Adiprasito, J Huh, E Katz Annals of Mathematics 188 (2), 381-452, 2018 | 291 | 2018 |
Log-concavity of characteristic polynomials and the Bergman fan of matroids J Huh, E Katz Mathematische Annalen 354, 1103-1116, 2012 | 134 | 2012 |
Uniform bounds for the number of rational points on curves of small Mordell–Weil rank E Katz, J Rabinoff, D Zureick-Brown | 84 | 2016 |
A tropical toolkit E Katz Expositiones Mathematicae 27 (1), 1-36, 2009 | 84 | 2009 |
Tropical intersection theory from toric varieties E Katz Collectanea mathematica 63 (1), 29-44, 2012 | 66 | 2012 |
Matroid theory for algebraic geometers E Katz Nonarchimedean and tropical geometry, 435-517, 2016 | 59 | 2016 |
Monodromy filtrations and the topology of tropical varieties D Helm, E Katz Canadian Journal of Mathematics 64 (4), 845-868, 2012 | 51 | 2012 |
Piecewise polynomials, Minkowski weights, and localization on toric varieties E Katz, S Payne Algebra & Number Theory 2 (2), 135-155, 2008 | 48 | 2008 |
Realization spaces for tropical fans E Katz, S Payne Combinatorial aspects of commutative algebra and algebraic geometry 6, 73-88, 2011 | 44 | 2011 |
McKay natural correspondences on characters G Navarro, PH Tiep, C Vallejo Algebra & Number Theory 8 (8), 1839-1856, 2014 | 43* | 2014 |
The j-invariant of a plane tropical cubic E Katz, H Markwig, T Markwig Journal of Algebra 320 (10), 3832-3848, 2008 | 39 | 2008 |
Local h-polynomials, invariants of subdivisions, and mixed Ehrhart theory E Katz, A Stapledon Advances in Mathematics 286, 181-239, 2016 | 38 | 2016 |
The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions E Katz, D Zureick-Brown Compositio Mathematica 149 (11), 1818-1838, 2013 | 32 | 2013 |
Lifting tropical curves in space and linear systems on graphs E Katz Advances in Mathematics 230 (3), 853-875, 2012 | 32 | 2012 |
The tropical j-invariant E Katz, H Markwig, T Markwig LMS Journal of Computation and Mathematics 12, 275-294, 2009 | 24 | 2009 |
Obstructions to lifting tropical curves in surfaces in 3-space T Bogart, E Katz SIAM Journal on Discrete Mathematics 26 (3), 1050-1067, 2012 | 23 | 2012 |
Tropical geometry and the motivic nearby fiber E Katz, A Stapledon Compositio Mathematica 148 (1), 269-294, 2012 | 22 | 2012 |
Hodge theory of matroids K Adiprasito, J Huh, E Katz Notices of the AMS 64 (1), 2017 | 20 | 2017 |
Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces E Katz, A Stapledon Research in the Mathematical Sciences 3, 1-36, 2016 | 19 | 2016 |
What is tropical geometry E Katz Notices of the AMS 64 (4), 2017 | 16 | 2017 |