Joshua Mundinger's home page

My research interests are in representation theory, algebraic geometry, and arithmetic geometry. Some particular interests are:

- D-modules
- cohomology theories in positive and mixed characteristic
- deformation theory
- Hochschild (co)homology
- operads
- modular representation theory
- Dieudonné modules

*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.”

- “Gone Fishing” Poisson Geometry, 2024 April 13. Watch a video of this talk.

“Quantization of restricted Lagrangian subvarieties in positive characteristic.”

- “Gone Fishing” Poisson Geometry, 2023 March 16. Watch a video of this talk.

“A Module-Theoretic Approach to Matroids.”

- AMS Spring Sectional Meeting, Special Session on Algebraic and Combinatorial Aspects of Tropical Geometry, 2018 March 17. Slides from this talk