My name is Catherine Ray, and I’m a mathematician. My current research is namely in understanding the interplay of Galois theory and Galois representations with homotopy theory. Before I was in math, I worked mostly in scientific simulation, autonomous robotics, and medical technology.

Research publications:

• Automorphisms of Abelian Varieties and Principal Polarizations joint with D. Lee; Rendiconti del Circolo Matematico di Palermo Series 2, Volume 71, pages 483–494, 2022 arxiv
• Towards Directed Collapsibility joint with R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B. T. Fasy, N. Sanderson, E. Vidaurre; Advances in Mathematical Sciences, Volume 21, pages 255–271, 2020 arxiv

Research preprints:

A Global Crystalline Period Map joint with M. Neaton and A. Pieper

In progress:

• A Geometric Model of Higher K-theories at Height h=p^{k-1}(p-1) via Families of Ramified Curves — (my thesis in progress)
• Covers of the Octahedron; joint with D. Lee
• Duality resolutions for general linear groups; joint with E. Belmont, P. VanKoughnett

Expository writing:

• Calculating pi_*(tmf) at the prime 2 (An Illustrated Guide to the May Spectral Sequence)
• A Complete Proof of the Polynomial Ham Sandwich Theorem, Based on Gromov’s Proof
• Fiber Bundles of Formal Disks (with A. Holeman)
• An Overview of the Classic Theory of P-Divisible Groups (Published in Oberwolfach Proceedings)

Contact me

Curiosity is welcome: fractalcows@gmail.com