I’m interested in various topics in homotopy theory. Lately I’ve been thinking a lot about higher algebra and equivariant homotopy theory.
Currently I am working with Peter Bonventre on connecting various models of genuine equivariant symmetric monoidal categories.
I am working on a project with Brenda Anne Wilson, Mengfei Ho, and Ella Hiesmayr on identifying CNF1-like protein sequences, originally part of an internship with IMSI in summer 2022.
I have also been thinking about equivariant dendroidal sets and about connecting Tambara functors to number theory and algebraic geometry.
Fall 2020 I co-organized a reading course on derived algebraic geometry with Roy Magen, joint with Columbia University.
Summer and fall 2020 I organized a reading course on ∞-categories at UPenn out of Charles Rezk’s notes and Jacob Lurie’s Higher Topos Theory.
Papers
Triangulations of simplices with vanishing local h-polynomial
Accepted for publication in Algebraic Combinatorics
With Andre Moura, Jason Schuchardt, Sam Payne, and Alan Stapledon
https://arxiv.org/abs/1909.10843
Balanced complexes and effective divisors on \overline{M}_{0,n}
Communications in Algebra, February 2020.
With José Luis González and Olivia Zhang
https://arxiv.org/abs/1709.10198
The cycle structure of a Markoff automorphism over finite fields
Journal of Number Theory, October 2019.
With Alois Cerbu, Michael Magee, and Luke Peilen.
https://arxiv.org/abs/1610.07077