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.
Email: yl106(at)illinois(dot)edu
Office: CH B4A
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.
Equivariant formal groups. Preliminary exam talk, Summer 2025
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
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)
Oberwolfach Arbeitsgemeinschaft: Algebraic K-Theory and the Telescope Conjecture. Oct 13 - 18, 2024
PCMI Graduate Summer School: Motivic Homotopy Theory. July 7 - 27, 2024
During my free time, I enjoy playing the piano, playing tennis, and volunteering at the local animal shelter.