Gabrielle Yangqing Li's Personal Page

Gabrielle Yangqing Li
Oberwolfach 2024

I am a fourth-year math PhD candidate at the University of Illinois Urbana-Champaign. I am advised by Charles Rezk and my research interest lies broadly in homotopy theory. I obtained B.A. in Mathematics with a minor in Music from Wellesley College in December 2021.

My CV is here.

Contact

Email: yl106(at)illinois(dot)edu

Office: CH B4A

Teaching

I am not teaching in 2025 - 2026 and 2022 - 2024. I am currently supported by the Illinois Distinguished Fellowship.

I was a TA for MATH 241 in the fall of 2024.

Expository Writing/Talks

Equivariant formal groups. Preliminary exam talk, Summer 2025

Pro-‌étale cohomology of Drinfeld’s symmetric space. UIUC Graduate Homotopy Theory Seminar, Fall 2024

The Construction of an Adams Operation on truncated Brown--Peterson spectrum. Telescope Conjecture Learning Seminar, Spring 2024

Galois Extension in Chromatic Homotopy Theory. UIUC Graduate Homotopy Theory Seminar, Spring 2024

Equivariant Algebras and RO(G)-graded Cohomology Theories. Equivariant Homotopy Theory Learning Seminar, Spring 2024

Ambidexterity in Chromatic Homotopy Theory. UIUC Graduate Homotopy Theory Seminar, Fall 2023

Dieudonne Module and the Classification of Formal Groups. UIUC Graduate Homotopy Theory Seminar, Spring 2023

An Introduction to Bousfield Localization. Chromatic homotopy theory reading seminar, Spring 2023

Stuff from the Good Old (Undergraduate) Days

The Adams and the Bockstein spectral sequence. UChicago Math REU 2021 (mentored by Prof J.Peter May and Dr. Hana Jia Kong)

Generalized Bundle Theory. UChicago Math REU 2020 (mentored by Prof J.Peter May and Dr. Hana Jia Kong)

On Adams's the non-existence of elements of Hopf invariant one. MIT Kan Seminar (18.919)

On Serre's Cohomologie modulo 2 des complexes d'Eilenberg-MacLane. MIT Kan Seminar (18.919)

Recent Travels

Oberwolfach Arbeitsgemeinschaft: Algebraic K-Theory and the Telescope Conjecture. Oct 13 - 18, 2024

PCMI Graduate Summer School: Motivic Homotopy Theory. July 7 - 27, 2024

Non-math stuff

During my free time, I enjoy playing the piano, playing tennis, and volunteering at the local animal shelter.