# Teaching

## Current course at Tsinghua University

Spring 2023 Topology

## Past courses at Tsinghua University (since 2021)

Fall 2022 Algebraic Topology 2.

Spring 2022 Algebraic Topology 1.

Fall 2021 Algebraic Topology 2.

Spring 2021 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 an 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 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.