I also work in chronic pain research. Before I was in math, I worked mostly in scientific simulation, autonomous robotics, and medical technology.

I graduated from George Mason University at 16 with a B.S. in Computational Physics, and accepted the Thiel Fellowship in 2014 to study mathematics full time under my mentor, Edward Frenkel. I graduated with my Master’s degree from UChicago working with Peter May, and with my PhD from Northwestern working with Paul Goerss. I am currently a postdoc at Uni-Münster in the Arithmetic and Homotopy Theory Working Group lead by Thomas Nikolaus and Christopher Deninger.

Contact me

Curiosity is welcome: fractalcows@gmail.com

My work email: cray@uni-muenster.de

If you are interested in my research mathematics, here are some fun papers of mine:

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:

• Criterion for Geometrically Modelling the Lubin-Tate action
• New Families of Newton Strata in the Torelli Locus
• A Geometric Model of Higher K-theories at Height h=p^{k-1}(p-1) via Families of Ramified Curves — (my thesis, readable arxiv version in progress)
• The homotopy groups of E_6^{hC_9} and the odd primary Kevaire invariant; joint with E. Belmont
• Covers of the Octahedron; joint with D. Lee
• Duality resolutions for general linear groups; joint with E. Belmont, P. VanKoughnett

Expository writing:

• Here is a 4 page summary of my work as a graduate student for a general audience, including original illustrations.
• Geometry for Prime Addicts
• The Hecke Orbit Conjecture and Homotopy Theory
• Models of Formal Group Laws of Every Height
• An Overview of the Classic Theory of P-Divisible Groups (Published in Oberwolfach Proceedings)
• 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)