papers
Publications (23)
math.AG2008
A Tropical Toolkit
Eric Katz
math.AG2012
Tropical Invariants from the Secondary Fan
Eric Katz
math.AG2009
Tropical Intersection Theory from Toric Varieties
Eric Katz
math.AG2007
The j-invariant of a plane tropical cubic
Eric Katz, Hannah Markwig, Thomas Markwig
math.AG2017
Total $p$-differentials on schemes over $Z/p^2$
Taylor Dupuy, Eric Katz, Joseph Rabinoff +1
math.NT2017
Diophantine and tropical geometry, and uniformity of rational points on curves
Eric Katz, Joseph Rabinoff, David Zureick-Brown
math.AG2014
Matroid theory for algebraic geometers
Eric Katz
math.AG2012
Tropical Realization Spaces for Polyhedral Complexes
Eric Katz
math.AG2005
Formalism for Relative Gromov-Witten Invariants
Eric Katz
math.AG2008
Piecewise polynomials, Minkowski weights, and localization on toric varieties
Eric Katz, Sam Payne
math.CO2019
Multivariate polynomials for generalized permutohedra
Eric Katz, McCabe Olsen
math.NT2017
Uniform bounds for the number of rational points on curves of small Mordell--Weil rank
Eric Katz, Joseph Rabinoff, David Zureick-Brown
math.AG2010
Realization spaces for tropical fans
Eric Katz, Sam Payne
math.NT2013
The Chabauty-Coleman bound at a prime of bad reduction and clifford bounds for geometric rank functions
Eric Katz, David Zureick-Brown
math.CO2012
Log-concavity of characteristic polynomials and the Bergman fan of matroids
June Huh, Eric Katz
math.CO2012
A non-abelian analogue of Whitney's 2-isomorphism theorem
Eric Katz
math.CO2018
Hodge Theory for Combinatorial Geometries
Karim Adiprasito, June Huh, Eric Katz
math.AG2012
Obstructions to lifting tropical curves in surfaces in 3-space
Tristram Bogart, Eric Katz
math.CO2008
The tropical $j$-invariant
Eric Katz, Hannah Markwig, Thomas Markwig
math.AG2016
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs
Eric Katz, Stefano Urbinati
math.AG2005
Line-Bundles on Stacks of Relative Maps
Eric Katz
math.AG2011
Tropical Geometry and the Motivic Nearby Fiber
Eric Katz, Alan Stapledon
math.AG2011
Lifting Tropical Curves in Space and Linear Systems on Graphs
Eric Katz