# Teaching

**Current course at Tsinghua University**

**Current course at Tsinghua University**

Fall 2021

**Algebraic Topology 2.**

**Past ****course at Tsinghua University (2021-)**

**Past**

**course at Tsinghua University (2021-)**

Spring 2021

**Braids and Polynomials.**

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

**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**.

**Past ****courses ****at University of Chicago (201****3****-2017)**

**Past**

**courses**

**at University of Chicago (201**

**3**

**-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**.

**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.

**Undergraduate**** teaching at Cornell University (2009-201****1****)**

**Undergraduate**

**teaching at Cornell University (2009-201**

**1**

**)**

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 **

**Mentoring**

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

In Spring 2018, I hosted 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**

**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.