Gabrielle Yangqing Li's personal page

I am a third-year math PhD student at the University of Illinois Urbana-Champaign. My research interest lies 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)com

Office: CH B4

Teaching

I will be teaching MATH 241 Calculus III in fall 2024.

I was not teaching 2022 - 2024. I am currently supported by the Illinois Distinguished Fellowship.

Expository writing/talks

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