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 stable homotopy theory,
- algebraic K-theory, and
- homological methods in finite group theory.
CV (Last updated: November 10, 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. To appear in Proceedings of the London Mathematical Society.
Bredon homological stability for configuration spaces of \(G\)-manifolds [arXiv:2311.02459]
with Eva Belmont and J.D. Quigley.
Uniformly vertex-transitive graphs [arXiv:1912.00060]
with Simon Schmidt and Moritz Weber.
Events
- December 2024: Hot Topics: Life after the Telescope Conjecture, Berkeley, CA
- April 2025: University at Albany Algebra/Topology Seminar, Albany, NY
- May 2025: Cornell Topology Festival, Ithaca, NY
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.