27 citations · 60 across the 10 of their papers we have counts for
12 papers
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…
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…
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…
Almost all wreath product character values are divisible by given primes
Brandon Dong, Hannah Graff, Joshua Mundinger +2
For a finite group with integer-valued character table and a prime , we show that almost every entry in the character table of is divisible by as $N \to \inf…
Quantization of restricted Lagrangian subvarieties in positive characteristic
Joshua Mundinger
Bezrukavnikov and Kaledin introduced quantizations of symplectic varieties X in positive characteristic which endow the Poisson bracket on X with the structure of a restricted Lie…
The Manickam-Miklós-Singhi Parameter of Graphs and Degree Sequences
Zoltán Király, Neeraja Kulkarni, Ian McMeeking +1
Let be a simple graph. Consider all weightings of the vertices of with real numbers whose total sum is nonnegative. How many edges of have endpoints with a nonnegative…
The image of a tropical linear space
Joshua Mundinger
Given a tropical linear space and a matrix , the image of under is typically not a tropical linear space. We…
A module-theoretic approach to matroids
Colin Crowley, Noah Giansiracusa, Joshua Mundinger
Speyer recognized that matroids encode the same data as a special class of tropical linear spaces and Shaw interpreted tropically certain basic matroid constructions; additionally,…
Quantum State Transfer on Coronas
Ethan Ackelsberg, Zachary Brehm, Ada Chan +2
We study state transfer in quantum walk on graphs relative to the adjacency matrix. Our motivation is to understand how the addition of pendant subgraphs affect state transfer. For…
Dynamics of interacting fermions in spin-dependent potentials
Andrew P. Koller, Michael L. Wall, Josh Mundinger +1
Recent experiments with dilute trapped Fermi gases observed that weak interactions can drastically modify spin transport dynamics and give rise to robust collective effects includi…
Laplacian State Transfer in Coronas
Ethan Ackelsberg, Zachary Brehm, Ada Chan +2
We prove that the corona product of two graphs has no Laplacian perfect state transfer whenever the first graph has at least two vertices. This complements a result of Coutinho and…
Demagnetization dynamics of non-interacting trapped fermions
Andrew P. Koller, Joshua Mundinger, Michael L. Wall +1
Motivated by several experimental efforts to understand spin diffusion and transport in ultracold fermionic gases, we study the spin dynamics of initially spin-polarized ensembles…