**Mailing address**:

Department of Mathematics

Columbia University

Room 509, MC 4406

2990 Broadway

New York, NY 10027

**E-mail address**: `ccl2166@columbia.edu`

**Office**: 610 Mathematics

I am a sixth year graduate student at Columbia University, under the supervision of Mikhail Khovanov.
I am interested in Representation Theory, Categorification, Link Homology and Algebraic Geometry. Starting Fall 2024 I will be a postdoc at the
Institute of Mathematics, Academia Sinica under the mentorship of Chun-Ju Lai.

The Two-Color Ext Soergel Calculus

On the images of multilinear maps of matrices over finite-dimensional division algebras

In Fall 2023, I ran an undergraduate seminar on Statistical Mechanics and Quantum Integrability.

In Spring 2023, I ran an undergraduate seminar on Symmetric Functions and Macdonald Polynomials.

In Fall 2022, I ran an undergraduate seminar on Combinatorics of Coxeter Groups.

In Spring 2020, I taught Calculus I.

In Spring 2024, I am co-organizing a seminar on Categorical Representation Theory.

In Fall 2023, I co-organized a seminar on Representation Theory and Categorification.

In Spring 2023, I co-organized an Informal Categorification Seminar.

In Spring 2023, I co-organized a seminar on Lie Superalgebras and Categorification.

In Fall 2022, I co-organized an Informal Categorification Seminar.

In Spring 2022, I co-organized a seminar on KLR Algebras and Categorification.

In Spring 2021, I co-organized a seminar on Modern Techniques in Representation Theory.

In Fall 2020, I co-organized a seminar on Category $\mathcal{O}$.

In Fall 2019-Spring 2020, I co-organized a seminar on Computations in Representation Theory.

Here are some notes from talks I have given while in graduate school. There are small typos throughout so use at your own risk.

Categorified Crystal Operators on $U(\widehat{\mathfrak{sl}_p})$

Canonical Bases for $U_q(\mathfrak{gl}(m|1))$

PBW Bases for $U_q(\mathfrak{gl}(m|1))$

Lie Superalgebras: Fundamentals

Actions of $\mathfrak{sl}_2$ on algebras appearing in categorifications

Categorification of Verma modules for $U_q(\mathfrak{sl}_2)$

Schur-Sergeev Duality for Lie Superalgebras

Brundan-Kleshchev Graded Isomorphism and Categorification Theorem

KLR Algebras: Categorification

Torus Knots and the Rational DAHA

Affine Grassmanian and the Affine Flag Variety

What is (Abelian) Categorification?

Category $\mathcal{O}:$ Methods

Introduction to Perverse Sheaves II

Introduction to Perverse Sheaves I

Representations of $U_q(\mathfrak{sl}_2)$ at a Root of Unity

Cohomology of Local Systems on $X_\Gamma$