My research interests are in (derived) algebraic geometry, representation theory, and arithmetic geometry. Some particular interests are:
For a chronological list of publications, see my CV.
Tannakian reconstruction in derived algebraic geometry. (with S. Sahai) arXiv: 2608.00999
Cartier duality via Mittag-Leffler modules. (with D. Arinkin) arXiv:2512.13856 pdf
On the differentials of the Hochschild-Kostant-Rosenberg spectral sequence. arXiv:2410.01894
Twisting the infinitesimal site. International Mathematics Research Notices 2024:19, 2024, pp. 12904–12918. arXiv:2310.06029
Hochschild cohomology of differential operators in positive characteristic. Journal of Algebra 650, 2024, pp. 367-376. arXiv:2303.07373
Quantization of restricted Lagrangian subvarieties in positive characteristic. Advances in Mathematics 410:108760, 2022. arXiv: 2106.09912
Cartier-Dieudonné theory of connected group schemes. (with C. Kothari) In preparation.
Dieudonné theory for n-smooth group schemes. (with C. Kothari) To appear in Algebra & Number Theory. arXiv:2408.15333
appendix to Poisson Manifolds of Compact Types (by M. Crainic, R. L. Fernandes, D. Martínez Torres) To appear in Memoirs of the European Mathematical Society. arXiv:2504.06447
Higher Congruences in Character Tables. (with N. Harman) Journal of Pure and Applied Algebra 230(11):108359, 2026. arXiv:2402.02312
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
appendix to Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal, by A. Fink, J. Giansiracusa, N. Giansiracusa. Res Math Sci 12:30, 2025. arXiv: 2405.16338 This open-access article may be downloaded from this link.
The Image of a Tropical Linear Space. Electronic Journal of Combinatorics 35:1, 2025. arXiv: 1808.02150
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
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
Dynamics of interacting fermions in spin-dependent potentials. (A. Koller, M. Wall, J. Mundinger, A. Rey) Physical Review Letters 117:195302 (2016).
Demagnetization dynamics of non-interacting trapped fermions. (A. Koller, J. Mundinger, M. Wall, A. Rey) Physical Review A 92:033608 (2015).
“Twisting the infinitesimal site.” 2024 April 13.
“Quantization of restricted Lagrangian subvarieties in positive characteristic.” 2023 March 16.