My research is in algebraic topology. I work in equivariant homotopy theory with a focus on RO(G)-graded Bredon cohomology, structured ring spectra, and tensor triangular geometry. My thesis advisor at the University of Oregon was Dan Dugger. After graduating, I was a postdoctoral researcher at UCLA working with Mike Hill.

I am currently a postdoctoral fellow at NTNU in Norway working with Drew Heard as a member of the project tt-geometry in Trondheim. I am also a member of the RCN project Equations in Motivic Homotopy.

Here is my CV.

Click here for a brief introduction to RO(C₂)-graded cohomology.
Course page and videos for a graduate topics course on spectral sequences I taught at UCLA in Spring 2020.

Papers

Equivariant HZ/ℓ-modules for the cyclic group C₂, Journal of Pure and Applied Algebra 228, 3 (2024), 107473. Joint with Dan Dugger and Christy Hazel. arXiv preprint, Published version

Genuine-commutative structure on rational equivariant K-theory for finite abelian groups, Bulletin of the London Mathematical Society 54 (2022). Joint with Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak, and Magdalena Kedziorek. arXiv preprint, Published version

Naive-commutative structure on rational equivariant K-theory for abelian groups, Topology and its Applications 316 (2022), 108100. Joint with Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak, and Magdalena Kedziorek.
arXiv preprint, Published version

The freeness theorem for equivariant cohomology of Rep(C₂)-complexes, Topology and its Applications 285 (2020), 107413. Joint with Eric Hogle. arXiv preprint, Published version

A structure theorem for RO(C₂)-graded cohomology, Algebraic & Geometric Topology 20-4 (2020), 1691--1728.
arXiv preprint, Published version

Recent and upcoming talks

Barcelona Topology Workshop, Universitat Autonoma de Barcelona, Spain - February 2, 2024
Instituto Superior Técnico (IST) Algebra Seminar, Libson, Portugal - February 6, 2024

Workshop: Betti numbers in commutative algebra and equivariant homotopy theory, Bielefeld, Germany - September 23-27, 2024

Talk slides and videos

Spinning bagels and other symmetries of surfaces - Amherst College Undergraduate Colloquium, November 2023 - Slides

ECHT Minicourse: Equivariant cohomology - September 2020 - Info and Videos

The naive-commutative structure on rational equivariant K-theory - BIRS Workshop: Equivariant Stable Homotopy Theory and p-adic Hodge Theory, Banff, March 2020 - Video

Decomposing C₂-equivariant spectra - JMM Special Session on Categorical and Computational Methods in Homotopy Theory, Denver, January 2020 - Slides

Some structure theorems for RO(G)-graded cohomology - WiMSoCal, September 2019 - Slides

Some structure theorems for RO(G)-graded cohomology - ECHT, November 2018 - Slides, Video