Teaching Assistant Positions

UT Austin

  1. Probability I (M 362K); Fall 2022 (two sections).
  2. Introduction to Dynamical Systems (M 375T); Spring 2022.
  3. Differential Equations with Linear Algebra (M 427J); Fall 2021.
  4. Real Analysis I (M 365C); Spring 2021 (two sections).
  5. Advanced Calculus for Applications (M 427L); Fall 2020.

Georgia Tech

  1. Linear Algebra (MATH 1554); Fall 2018. In-class recitations were streamed to various Georgia high schools for dual-enrollment students.
  2. Calculus Survey (MATH 1000); Summer 2018. Part of the Office of Minorities and Diveristy Challenge Camp for incoming freshman at Georgia Tech.
  3. Multi-Variable Calculus (MATH 2550); Spring 2018.
  4. Linear Algebra (MATH 1554); Fall 2017. In-class recitations were streamed to various Georgia high schools for dual-enrollment students.
  5. Linear Algerba (MATH 1553) x 2; Spring 2017. I held recitations for two distinct linear algebra classes (with two different professors).
  6. Linear Algebra (MATH 1554); Fall 2016.

Directed Reading Program

The Directed Reading Program (DRP) is an RTG program at the UT Austin Math Department which pairs undergraduates with graduate student mentors to explore an independent project in mathematics. I have mentored 11 undergraduates in my time at UT, supervising 13 reading projects, spanning a wide selection of topics, including cellular automata, algebraic topology, ergodic theory, Markov chains, machine learning, and differential privacy.

DRP has been one of my most memorable experiences at UT -- I have found that mentorship is one of my true passions. If you are an undergraduate considering DRP, I highly recommend it!

Miscellaneous

Mini-courses

  1. Introduction to Teichmüller Dyanmics; Summer 2023. A week long (5 lectures) mini-course which introduced some of the basic objects of Teichmüller theory along with dynamical results, including Siegel-Veech transforms and Mirzakhani's conjugacy between Teichmüller horocycle flow and Earthquake flow.
  2. Introduction to Classical Ergodic Theory; Summer 2022. A week long (5 lectures) mini-course which covered the classical Von Neumann, Birkhoff, and unique ergodic theorems for probability measure preserving actions of the integers.
  3. Algebraic Topology Bootcamp; Summer 2022. A week long (5 lectures) bootcamp which served as a refresher for other graduate students intent on passing the algebraic topology preliminary exam at UT Austin. Topics covered included the fundamental group, covering spaces, homology, and fixed point theorems.

Sanger MRR Graduate Instructor

  1. Integral Calculus (M 408L); Fall 2022.
  2. Differential Calculus (M 408K); Fall 2021.

Professional Private Tutoring

I regularly tutor a wide swath of mathematical topics to both undergraduate and graduate students, including high school geometry and algebra; all levels of calculus; discrete math; real, complex, and functional analysis; measure theory; probability theory; differential topology; and symplectic geometry. Some of my tutoring sessions have been focused on reading through specialized topics with students, such as the deformation theory of singularities.