Coefficients of Gaussian Polynomials Modulo N
Pentland, Dylan. "Coefficients of Gaussian Polynomials Modulo N." The Electronic Journal of Combinatorics (2020): P2-58.
CV
More detailed CV here.
Education
- B.S. in Mathematics, MIT, 2022
- Ph.D in Mathematics, Harvard University, 2027 (expected)
Publications
Filtrations on block subalgebras of reduced enveloping algebras
Ionov, Andrei, and Dylan Pentland. "Filtrations on block subalgebras of reduced enveloping algebras." Journal of Algebra and Its Applications 21.12 (2022): 2350001.
Computing L-Polynomials of Picard curves from Cartier-Manin matrices
Asif, Sualeh, Francesc Fité, and Dylan Pentland. "Computing L-polynomials of Picard curves from Cartier–Manin matrices." Mathematics of Computation 91.334 (2022): 943-971.
Extensions of mod p representations of division algebras over non-Archimedean local fields
Andrew Keisling and Dylan Pentland. "Extensions of mod p representations of division algebras over non-Archimedean local fields." arXiv preprint arXiv:2110.00705 (2023).
Talks
Honda-Tate theory
Talk at Trivial notions seminar, Harvard
Nearby cycles and Beilinson gluing
Talk at Geometric representation theory seminar, Harvard
Rigid flat connections and p-curvature
Talk at Non-Abelian Hodge theory seminar, Harvard
Serre’s conjecture
Talk at FLT Seminar, MIT
Shtukas
Talk at Geometric Langlands Support Group, Harvard
The twistor line
Talk at Trivial notions, Harvard
The Beilinson Fiber Square
Talk at Zygotop, Harvard
The Almost Purity Theorem
Talk at Mark Seminar, Harvard
The arc-topology
Talk at Mark Seminar, Harvard
The pro-etale topology
Talk at Babytop seminar, MIT