3 papers
math.AG2024
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
Alex Fink, Jeffrey Giansiracusa, Noah Giansiracusa +1
A "tropical ideal" is an ideal in the idempotent semiring of tropical polynomials that is also, degree by degree, a tropical linear space. We introduce a construction based on tran…
math.RT2024
Higher Congruences in Character Tables
Nate Harman, Joshua Mundinger
Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finit…
math.AG2024
Hochschild cohomology of differential operators in positive characteristic
Joshua Mundinger
For a field of positive characteristic and a smooth variety over , we compute the Hochschild cohomology of Grothendieck's differential operators on . The answer invol…