Mathematics
Research
Papers
- arxiv pdf Unipotent Elements and Twisting in Link Homology (2022).
-
arxiv pdf Rational Noncrossing Coxeter–Catalan Combinatorics (2022).
+ P. Galashin, T. Lam, N. Williams - arxiv pdf From the Hecke Category to the Unipotent Locus (2021).
Undergraduate papers:
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web Extremal Primes for Elliptic Curves. J. Num. Theory, 164 (2016), 282-298.
+ K. James, B. Tran, P. Wertheimer, D. Zantout -
web Zeros of Dirichlet \(L\)-Functions over Function Fields. Comm. Num. Theory Phys., 8(3) (2014), 511-539.
+ J. Andrade, S. J. Miller, K. Pratt
Here is a blog post by Terence Tao that discusses our work.
Selected Slides
- pdf MIT–Harvard–MSR Combinatorics Seminar. 2/15/23.
- pdf Oxford Algebra Seminar. 11/30/21.
- pdf UMass Representation Theory Seminar. 10/25/21.
- pdf UMass FRG Conference on Categorical Braid Group Actions and Categorical Representation Theory. 6/17/21.
Other Writing
Papers
-
The Hodge Theory of Soergel Bimodules. Introduction to Soergel Bimodules. Ed. B. Elias, S. Makisumi, U. Thiel, G. Williamson. RSME Springer Series, 5 (2020).
+ L. Taylor
Selected Slides
- pdf Uniformization of Principal Bundles. UChicago \(\text{Bun}_G\) Seminar. 2/22/23.
- pdf Higgs Bundles and Global Springer Theory. Edinburgh reading group on affine Springer fibers. 3/15/22.
- pdf Abelianization of Affine Springer Fibers. Algebraic Geometry Seminar of the AIM Link Homology research community. 10/1/21.
- pdf What Gauss Knew about Knots and Braids. MIT IAP lecture. 1/20/21. Here are the accompanying problems and references.
Teaching
| Fall 2022 | web | 18.781: Theory of Numbers |
| 18.01: Calculus (course administrator) | ||
| Spring 2022 | web | 18.708: Topics in Algebra (4 lectures) |
| web | 18.704: Seminar in Algebra | |
| Fall 2021 | web | 18.02A: Calculus |
| web | 18.01A: Calculus | |
| (Archive) |