# Teaching

## Current courses at Tsinghua University

Spring 2024 Topology (point-set and fundamental groups)

Fall 2023 Algebraic Topology 1.

## Past courses at Tsinghua University (since 2021)

Spring 2023 Topology (point-set and fundamental groups)

Fall 2022 Algebraic Topology 2.

Spring 2022 Algebraic Topology 1.

Fall 2021 Algebraic Topology 2.

Spring 2021 Graduate topics class: braids and polynomials.

## Past courses at University of Minnesota (2017-2020)

Spring 2020 MATH 2574H: Honors Differential Equations and Linear Algebra.

Spring 2020 MATH 1272: Calculus II.

Fall 2019 MATH 2573H: Honors Multivariable Calculus.

Spring 2019 MATH 8307: Algebraic Topology II.

Fall 2018 MATH 5615H: Honors Mathematical Analysis I.

Spring 2018 MATH 1272: Calculus II.

Fall 2017 MATH 4242: Applied Linear Algebra.

Above: A picture of me cutting along a Möbius strip in my algebraic topology class to demonstrate that a non-orientable manifold admits a connected orientable double cover. This photo was taken by Kayla Wright.

## Past courses at University of Chicago (2013-2017)

2016-17 MATH 11200, 11300: Studies in Mathematics (Number Theory and Geometry).

2015-16 MATH 15100, 15200, and 15300: Calculus I-II-III.

2014-15 MATH 15100, 15200, and 15300: Calculus I-II-III.

Spring 2014 College Fellow for MATH 25600: Abstract Algebra III (Galois theory).

Winter 2014 College Fellow for MATH 26200: Point-Set Topology.

Fall 2013 College Fellow for MATH 27700: Mathematical Logic.

## Undergraduate teaching at Cornell University (2009-2011)

In 2009-10 and 2010-11 academic years, I was an undergraduate instructor for the Academic Excellence Workshops (AEW) at Cornell University. I co-taught weekly workshops on calculus 1 and general chemistry.

## Mentoring

In Spring 2023, I mentored two undergraduate thesis projects, one on the topic of Nielsen realization problem and the other on the topic of the action of the mapping class group on the cohomology of configuration spaces.

I have been a faculty advisor for undergraduates at Qiuzhen College, Tsinghua University since Fall 2022.

I have been in the Undegraduate Curriculum Committee at Qiuzhen College, Tsinghua University since Fall 2021.

In Fall 2019, I mentored an undergraduate reading course MATH 4993: Directed Study on abstract algebra and mathematical logic.

In Spring 2018, I mentored an undergraduate reading course MATH 4993: Directed Study on group theory and chemistry. During the course, my student wrote an expository paper on the unsolvability of quintic equations as her Senior Project fulfilling the honors requirement.

I was a graduate student mentor for the UChicago REU in the summers of 2015 and 2016. Three students in my group, Mario Alegre, Pedro Juarez, and Hani Pajela, wrote a research paper titled "Statistics about polynomials over finite fields." Their paper is posted on the REU website.

I was a mentor for the Directed Reading Program (DRP) in Spring 2016 on analytic number theory.

## Teaching award

In 2016, I received the Lawrence and Josephine Graves Prize for excellent and effective teaching by graduate students from the Department of Mathematics, University of Chicago.