Joshua Mundinger's home page
My research interests are in representation theory, algebraic geometry, and arithmetic geometry. Some particular interests are:
On the differentials of the Hochschild-Kostant-Rosenberg spectral sequence. arXiv:2410.01894
Dieudonné theory for n-smooth group schemes. (with C. Kothari.) arXiv:2408.15333
Higher Congruences in Character Tables. (with N. Harman) arXiv:2402.02312
Twisting the infinitesimal site. International Mathematics Research Notices, 2024, article rnae186. arXiv:2310.06029
Hochschild cohomology of differential operators in positive characteristic. Journal of Algebra 650, 2024, pp. 367-376. arXiv:2303.07373
Almost All Wreath Product Character Values are Divisible by Given Primes (with B. Dong, H. Graff, S. Rothstein, L. Vescovo.) Algebraic Combinatorics 6:6, 2023, pp. 1519-1531. arXiv: 2210.07261
Quantization of restricted Lagrangian subvarieties in positive characteristic. Advances in Mathematics 410:108760, 2022. arXiv: 2106.09912
appendix to Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal, by A. Fink, J. Giansiracusa, N. Giansiracusa. arXiv: 2405.16338
The Manickam-Miklós-Singhi Parameter of Graphs and Degree Sequences. (with Z. Király, N. Kulkarni, I. McMeeking) Egerváry Research Group, Budapest, Technical Report 2018-11, 2018. arXiv: 1808.05835
The Image of a Tropical Linear Space. arXiv: 1808.02150
A Module-Theoretic Approach to Matroids. (with C. Crowley, N. Giansiracusa) Journal of Pure and Applied Algebra 224(2):894-916, 2020. arXiv: 1712.03440
Quantum State Transfer on Coronas. (with E. Ackelsberg, Z. Brehm, A. Chan, C. Tamon) Electronic Journal of Combinatorics 24:2, 2017. arXiv: 1605.05260
Laplacian State Transfer on Coronas. (with E. Ackelsberg, Z. Brehm, A. Chan, C. Tamon) Linear Algebra and Its Applications 506:154-167, 2016. arXiv: 1508.05458
“Twisting the infinitesimal site.”
“Quantization of restricted Lagrangian subvarieties in positive characteristic.”
“A Module-Theoretic Approach to Matroids.”