## Research
I am primarily interested in algebraic geometry and algebraic
combinatorics. My current research involves moduli of stable curves, Schubert
calculus, toric varieties and equivariant free resolutions. For example, here is a combinatorial covering
space called a 'Schubert curve', and
some related Young tableaux. Here are some gln word crystals; and here is a doubled crystal. ## TeachingSpring 2023: Math 819 Topics in Algebraic Geometry: SchemesFall 2022: Math 251 Multivariable Calculus Fall 2022: Math 240 Linear Algebra ## Papers
(with Brooke Ullery and David Stapleton) Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors. Submitted (2023).
(with Maria Gillespie and Sean T. Griffin) A proof of a conjecture of Monin and Rana on equations defining M_{0,n}. Submitted (2022).
(with Maria Gillespie and Sean T. Griffin) Lazy tournaments and multidegrees of a projective embedding of M_{0,n}.
(with Maria Gillespie and Sean T. Griffin) Degenerations and multiplicity-free formulas for products of psi and omega classes on M_{0,n}. Submitted (2022).
(with Maria Gillespie and Sean T. Griffin) Tournaments and slide rules for products of psi and omega classes on M_{0,n} (extended abstract).
(with Brooke Ullery) A Cayley-Bacharach theorem and plane configurations.
(with Ben Adlam and Jeffrey Pennington) A random matrix perspective on mixtures of nonlinearities in single-layer neural networks.
(with Sean T. Griffin and Alexander Woo) Springer fibers and the Delta Conjecture at t=0. Submitted (2021).
(with Sean T. Griffin and Alexander Woo) Springer fibers and the Delta Conjecture at t=0 (extended abstract).
(with Kevin Purbhoo) A topological proof of the Shapiro-Shapiro conjecture.
(with Carlos Esteves, Kefan Chen, Noah Snavely, Angjoo Kanazawa, Afshin Rostamizadeh and Ameesh Makadia) An Analysis of SVD for Deep Rotation Estimation.
(with Kevin Purbhoo) Class groups of open Richardson varieties in the Grassmannian are trivial.
(with Maria Gillespie and Kevin Purbhoo) Schubert curves in the orthogonal Grassmannian.
(with Maria Gillespie and Kevin Purbhoo) A crystal-like structure on shifted tableaux.
(with Maria Gillespie) Axioms for shifted tableau crystals.
(with Nic Ford) Foundations of Boij-Söderberg theory for Grassmannians.
(with Nic Ford and Steven Sam) Towards Boij-Söderberg theory for Grassmannians: the case of square matrices.
(with Maria Gillespie and Kevin Purbhoo) Shifted tableau crystals (extended abstract).
(with Maria Gillespie) Monodromy and K-theory of Schubert curves via generalized jeu de taquin.
(with Maria Gillespie) Monodromy and K-theory of Schubert curves via generalized jeu de taquin (extended abstract).
One-dimensional Schubert problems with respect to osculating flags.
(with Steven J. Miller) The n-level densities of low-lying zeros of quadratic Dirichlet L-functions.
(with Nick Arnosti, Rachel Karpman, Caitlin Leverson and Susan Loepp) Semilocal formal fibers of minimal prime ideal of excellent reduced local rings. ## Other writing
Review of "The BIG Jobs Guide: Business, Industry, and Government Careers for Mathematical Scientists, Statisticians, and Operations Researchers". ## Expository writeupsExercises in Lean from a workshop I ran at the SFU Computational Math Day 2023. [slides] [demo] [solutions] (Note: This demo isn't a tutorial and isn't intended to be doable by a beginner without the solutions. You should try the Lean tutorials project!) Notes on Intersection Theory from a topics class I taught at
the University of Washington, Spring 2020. [pdf] Special cosine values (2012): When is cos(2pi/m)
algebraic of degree at most 4 over the rationals? [pdf] "Carrying the tens" and Ext (2016): The "carrying tens" rule
for long-form addition is related to Ext! [pdf] For fun: some random domino tilings showcasing the Arctic Circle Phenomenon. An introduction to Schubert Calculus (mini-course, 5 days), July 2015. notes here: Intro
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1.5
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5.
Translating between geometry and algebra (mini-course, 5 days), July 2015. (Joint with Rebecca RG). ## BackgroundI completed my Ph.D at Michigan in 2017, advised by David Speyer. Following that, I spent four months as an NSERC Postdoctoral Fellow at LaCIM (UQAM, Montreal), then was an Acting Assistant Professor at the University of Washington, Seattle from 2017-2020. During that time, I also spent one year as an AI Resident at Google Research in New York.I was an undergraduate at Williams College with a BA in mathematics, and I spent Fall 2009 in Hungary at the Budapest Semesters in Mathematics program, which I highly recommend! I also did commutative algebra at SMALL with Susan Loepp in 2009, which was a great introduction to mathematical research. My undergraduate thesis was on L-functions and random matrices, advised by Steven J. Miller. I am from Montreal, Quebec. I love bagels and occasionally poutine, et je parle français (mais je suis anglophone / English is my mother tongue). |