Contact

About

I completed my PhD from the University of Chicago in July 2022, advised by Benson Farb. I concurrently recived a BA in mathematics and physics and an MA in mathematics at Harvard University in 2016. My research interests include hyperbolic geometry, algebraic geometry, and algebraic topology; most recently I worked on Tschirnhaus transformations, their potential geometric obstructions, and applications towards Hilbert's 13th problem. More details are available in my CV.

Teaching

In my teaching, I strive to meet each individual student wherever they are and whatever their circumstances, to not only help them understand the specific course material but to contextualize it within the broader field of mathematics and the world, all while building general-purpose logical thinking skills. Here is a full statement of my teaching philosophy.

I was awarded the Lawrence and Josephine Graves Prize for excellence in undergraduate mathematics teaching in 2020, and the Harvard University Certificate of Distinction in Teaching in 2014.

As lecturer I am the instructor of record for my section, customizing the curriculum and writing all of my own lectures, homeworks, and exams.

**Fall 2021:**Math 196 - Linear Algebra**Fall 2020:**Math 112 - Studies in Mathematics I**Spring 2020:**Math 153 - Calculus III**Winter 2020:**Math 152 - Calculus II**Fall 2019:**Math 151 - Calculus I**Spring 2019:**Math 153 - Calculus III**Winter 2019:**Math 152 - Calculus II**Fall 2018:**Math 151 - Calculus I

**Summer 2021:**Win, Lose, or Draw, with Dylan Quintana and Mariya Sardarli

This class on combinatorial game theory was a part of the Collegiate Scholars Program for students in Chicago Public Schools from underrepresented groups.**Spring 2018:**Math 274 - Introduction to Differentiable Manifolds and Calculus on Manifolds, with Wilhelm Schlag**Winter 2018:**Math 262 - Point Set Topology, with Shmuel Weinberger**Fall 2017:**Math 267 - Introduction to Representation Theory of Finite Groups, with Benson Farb

**Summer 2014:**Math S-101 - Sets, Groups, and Topology**Spring 2014:**Math 25b - Honors Linear Algebra and Real Analysis II, with Noam Elkies**Fall 2013:**Math 25a - Honors Linear Algebra and Real Analysis I, with Noam Elkies

Publications

A parameter space for Tschirnhaus transformations. PhD thesis. University of Chicago, 2022.

With C. Adams, A. Calderon. Generalized bipyramids and hyperbolic volumes of alternating k-uniform tiling links. *Topology and its Applications*, 271, 2020.
arXiv

With C. Adams, et al. Volume and determinant densities of hyperbolic rational links. *Journal of Knot Theory and its Ramifications*, 26, no. 1, 2017. arXiv