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. I am on the (postdoc) job market this year.
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 $X_\Gamma$