Here are the slides for my talks "Dimers, webs, and local systems'' given at the conference "Dimers: combinatorics, representation theory and physics" at the CUNY Graduate Center in New York City during August 2023.  

Here are the slides for my talk "Quantum higher Teichmüller theory'' given for the special session "Skein theory and quantum algebra" at the Virtual 2022 JMM (and elsewhere).  

Here are the notes I took for the course "Quantum geometry" given by Francis Bonahon at the University of Southern California during the Spring 2017 semester.   

Publications:

• "What is a quantum dimer?" (with Richard Kenyon, Nicholas Ovenhouse, Sam Panitch, and Sri Tata)

  • In preparation. 

• "Web basis for the SL(n) skein algebra of the annulus" (with Tommaso Cremaschi)

  • In preparation.  

• "Dimers, webs, and local systems"  (with Richard Kenyon and Haolin Shi)

  • Published at Transactions of the American Mathematical Society.

• "Points of quantum SL_n coming from quantum snakes"

  • Accepted for publication at Algebraic & Geometric Topology.  

• "Quantum traces for SL_n(C):  The case n=3"

  • Published at Journal of Pure and Applied Algebra.

• "Tropical Fock-Goncharov coordinates for SL_3-webs on surfaces II: naturality"  (with Zhe Sun)

  • Accepted (for revision) at Algebraic Combinatorics.

• "Tropical Fock-Goncharov coordinates for SL_3-webs on surfaces I: construction"  (with Zhe Sun)

  • Published at Forum of Mathematics, Sigma.  

Collaborators:  

• Tommaso Cremaschi  (Trinity College Dublin)

• Richard Kenyon  (Yale)

• Sam Panitch  (Yale)

• Haolin Shi  (Yale)

• Zhe Sun  (University of Science and Technology of China)

• Sri Tata  (Yale)

Dissertation:  "Classical and quantum traces coming from SL_n(C) and U_q(sl_n)" 

Undergraduate thesis:  "The octonions and their automorphism group: G_2"

The Great Wall, Badaling section, China  (2018)