Email: yul248 at ucsd dot edu
Department of Mathematics
University of California, San Diego
9500 Gilman Drive
La Jolla, CA 92093-0112
I am an S. E. Warschawski Assistant Professor at UC San Diego. My mentor is Zhouli Xu. I received my doctorate degree at the University of Michigan under the supervision of Igor Kriz.
My research interest is in algebraic topology, more specifically equivariant and chromatic homotopy theory, with applications to geometric topology. My work involves the study of manifolds and their triangulations, group cohomology, and formal group laws.
Research
RO(G)-graded homotopy fixed point spectral sequence for height 2 Morava E-theory
joint with Zhipeng Duan, Hana Jia Kong, Guchuan Li, and Guozhen Wang,
accepted by Peking Mathematical Journal,
https://arxiv.org/abs/2209.01830
On the structure of equivariant formal group laws,
joint with Igor Kriz,
accepted by Homotopy, Homology and Applications,
available upon request
On the RO(G)-graded coefficients of Q8-equivariant cohomology,
accepted by Topology and its Applications,
arXiv:2111.01926
Coefficients of the Σ3-equivariant complex cobordism ring,
joint with Po Hu and Igor Kriz,
accepted by Homotopy, Homology and Applications,
arXiv:2109.00991
On the RO(G)-graded coefficients of dihedral equivariant cohomology,
joint with Igor Kriz,
Mathematical Research Letters 27 (2020), no. 4, 1109-1128.
arXiv:2005.01225
Teaching
I am teaching Math 140B, Foundations of Real Analysis II, in Spring 2025. For course information, please check Canvas.
Past teaching at UCSD:
Math 140B, Foundations of Real Analysis II, Winter 2025, Winter 2024, Winter 2023.
Math 109, Mathematical Reasoning, Winter 2025, Fall 2024, Fall 2023.
Math 103B, Modern Algebra II, Spring 2023.
Math 102, Applied Linear Algebra, Fall 2023.
Math 10B, Calculus II, Fall 2022.
Past teaching as primary instructor at University of Michigan:
Math 116, Calculus II, Fall 2021, 2018, 2017.
Marh 115, Calculus I, Winter 2017.
Math 105, Precalculus, Fall 2017.
Past teaching as teaching assistant at University of Michigan:
Math 215, Multivariable and Vector Calculus, Winter 2022, 2021, 2018, Fall 2019.
Math 216, Introduction to Differential Equations, Fall 2020, Winter 2019.