In the spring '21 semester, I will be teaching math 619, a graduate class in algebraic topology. Last summer, together with Herman Gluck, we organized an online bridge workshop in algebraic topology aimed to prepare students for the 618-619 graduate sequence, which was geared toward beginning graduate students, undergraduates with some background in topology, and anyone else with an interest in topology.

### Past teaching

#### At the University of Pennsylvania:

Spring 2020: Math 730, Graduate Topics CourseFall 2019: Math 410, Complex Analysis

Spring 2019: Math 619, Graduate Algebraic Topology III (Homotopy Theory)

Spring 2019: Math 370, Algebra

#### At Johns Hopkins:

Spring 2018: Math 106, Calculus I for biologyFall 2017: Math 727, Topics in Algebraic Topology

Fall 2017: Math 615, Graduate Algebraic Topology I

Spring 2017: Math 422, Representation Theory

Spring 2017: Math 616, Graduate Algebraic Topology II

Spring 2016: Math 422, Representation Theory

Spring 2016: Math 401, Advanced Algebra I

Fall 2015: Math 328, Non-Euclidean geometry inquiry based learning (IBL) style

Fall 2015: Math 401, Advanced Algebra I

Spring 2015: Math 107, Calculus II for biology

Fall 2014: Math 328, Non-Euclidean Geometry, inquiry based learning (IBL) style

#### At the University of Chicago:

*As an instructor:*

Winter 2014: Math 176, Geometry IBL, co-taught with John Boller

Spring 2013: Math 112, Studies in Mathematics

Winter 2012: Math 153, Calculus III

Fall 2012: Math 152, Calculus II

Spring 2012: Math 112, Studies in mathematics

Winter 2012: Math 106, Precalculus II

Fall 2011: Math 105, Precalculus I

*As a college fellow: *

Spring 2011: Math 256, Basic Algebra III (mentor: Liang Xiao)

Winter 2011: Math 255, Basic Algebra II (mentor: Rina Anno)

Fall 2010: Math 254, Basic Algebra I (mentor: David Constantine)

*Directed Reading Program:*I was a committee member and mentor for the Directed Reading Program (DRP). I had the pleasure of supervising the following students (undergraduates back then):

Jay Shah

Elden Elmanto

Bill Zhou I supervised the following projects:

Fall 2013: Bill Zhou, Algebra and basic algebraic topology

Spring 2013: Elden Elmanto, Chromatic homotopy theory

Winter 2012: Elden Elmanto, Algebraic K-theory

Fall 2012: Elden Elmanto, Atiyah-Segal completion theorem

Spring 2012: Elden Elmanto, Cohomology operations

Winter 2012: Elden Elmanto, Advanced algebraic topology

Fall 2011: Elden Elmanto, Model categories

Spring 2011: Jay Shah, Model categories

At Bard College, I worked as a math tutor for the Bard Academic Resources Center.