I’m a Ph.D. candidate in mathematics at Cornell University, advised by Inna Zakharevich.

I enjoy thinking about mathematics at the interface between algebra and topology. In particular, I’m interested in equivariant homotopy theory and algebraic structures that arise therein.

**CV** (Last updated: March 5, 2024)

I pronounce my last name as “VOH-guh-lee” in English, but it’s really Swiss German in origin.

**Some things I’m involved in:**

- I organize the Cornell Directed Reading Program along with Alekos Robotis.
- I organize HoMoToPIESS along with Kimball Strong.

## Research

**The Galois-equivariant \(K\)-theory of finite fields** [arxiv:2406.19481]

with David Chan.

**Bredon homological stability for configuration spaces of \(G\)-manifolds** [arxiv:2311.02459]

with Eva Belmont and J.D. Quigley.

## Events

- September 2024: Binghamton University Topology and Geometry Seminar, Binghamton, NY
- October 2024: AMS Fall Eastern Sectional Meeting, Albany, NY

### Past Events

- May 2024: Cornell Topology Festival, Ithaca, NY
- April 2024: Graduate Student Topology and Geometry Conference, East Lansing, MI
- January 2024: Joint Mathematics Meetings, San Francisco, CA
- November 2023: BUGCAT, Binghamton, NY
- September 2023: Algebraic K-Theory and Redshift, Mainz, DE

## Expository & Other Writing

**The Homotopy Theory of Orthogonal Spectra** (in preparation)

A writeup I prepared for my Admission to Candidacy Exam (A Exam) in November 2022.

**English Translation of tom Dieck’s Faserbündel mit Gruppenoperation**

Translation to fulfil the language requirement of the Cornell mathematics graduate program.

**5/8 and Isoclinism** (in preparation)

Notes on the commuting probability of a finite group and the connection to isoclinism. Prepared for a talk given at the Olivetti Club in September 2021.

**A puzzle: what comes next in the sequence?**

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 60, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, ???

*Das Sphärenspektrum hat der liebe Gott gemacht, alles andere ist Menschenwerk.*