I am an Assistant Professor of Mathematics at The University of British Columbia. Prior to this, I was an ICERM Research Fellow at Brown University for the Fall 2025 Categorification and Computation in Algebraic Combinatorics semester program. Before this I was at UC Berkeley as Charles B. Morrey Visiting Assistant Professor working with Sylvie Corteel, at UCLA as Presidential Postdoctoral Fellow under the mentorship of Raphaël Rouquier, and at MSRI as a Berlekamp Postdoctoral Fellow for the Higher Categories and Categorification program in Spring 2020. I finished my PhD in 2019 at the University of Southern California under the supervision of Aaron Lauda and Sami Assaf.
Most of my work is in algebraic combinatorics and representation theory, with applications to link homology theory.
Published Papers and Pre-Prints
Smooth correspondences between quiver varieties - with with E. Gorsky and J. Simental. -https://arxiv.org/abs/2601.22287
A whittled complex for the Khovanov homology of torus links - with C. Caprau, C. Lee, R. Sazdanovic - https://arxiv.org/abs/2601.09079
A Local Characterization of Unions of Demazure Crystals - with S. Assaf - https://arxiv.org/abs/2512.19814
Structure and geometry of the tableaux algebra - with S. Daugherty, B. Muniz, P. Ocal, J. Pan, J. Torres - https://arxiv.org/abs/2510.27209
Pinnacles for Complex Reflection Groups - with A. Burnham-Schmidt - https://arxiv.org/abs/2510.03580
The elliptic Hall algebra and the double Dyck path algebra - with with E. Gorsky and J. Simental. - https://arxiv.org/abs/2502.16113
Keys and Evacuation via Virtualization - with O. Azenhas, D. Huang, and J. Torres - https://arxiv.org/abs/2409.12666
Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line - with C. Caprau, M. Hogancamp and M. Mazin - https://arxiv.org/abs/2407.18123
Calibrated representations of the double Dyck path algebra- with E. Gorsky and J. Simental. - Mathematische Annalen (2024). https://doi.org/10.1007/s00208-024-02937-2
Triangular (q,t)-Schröder Polynomials and Khovanov-Rozansky Homology- with C. Caprau, M. Hogancamp, and M. Mazin - Séminaire Lotharingien de Combinatoire (2024), #157
Mesas of Stirling permutations - with P. Harris, G. Kirby, M. Vega, and B. Tenner - Journal of Combinatorics (Vol. 16, Issue 3 (2025), pp. 387-403) https://arxiv.org/abs/2306.12158
Higher rank (q,t)-Catalan polynomials, Affine Springer Fibers, and a Finite Rational Shuffle Theorem - with J. Simental and M. Vazirani - Transactions of the AMS 377 (2024), 5087-5127 DOI: https://doi.org/10.1090/tran/9115
Extremal tensor products of Demazure crystals are direct sums of Demazure crystals- with S. Assaf and A. Dranowski - Séminaire Lotharingien de Combinatoire 89B (2023), Article #12
Semi-standard parking functions and a finite Shuffle theorem - with J. Simental and M. Vazirani , Séminaire Lotharingien de Combinatoire 89B (2023), Article #84
Pinnacle sets of signed permutations - with P. Harris, G. Kirby, M. Vega, and B. Tenner - Discrete Math, Vol 346, Issue 7, July 2023,
Extremal tensor products of Demazure crystals - with S. Assaf and A. Dranowski - Algebras and Representation Theory (2023)
On Khovanov homology and related invariants - joint with C. Caprau, C. Lee, A. Lowrance, R. Sazdanovic, M. Zhang. - Research Directions in Symplectic and Contact Geometry and Topology, AWMS vol 27. Springer
Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials - joint with Sami Assaf, Algebraic Combinatorics, Volume 4 (2021) no. 5, pp. 777-793.
Demazure Crystals for specialized nonsymmetric Macdonald polynomials -joint with Sami Assaf Journal of Combinatorial Theory-Series A Vol 182 (2021)
Categorical Bernstein Operators and the Boson-Fermion correspondence , Selecta Mathematica 26, Article number: 51 (2020) -
Crystal graphs, key tabloids, and nonsymmetric Macdonald polynomials, Séminaire Lotharingien de Combinatoire, 80B (2018) Article #81, 12pp.- joint with Sami Assaf.
In Fall 2025 will be organizing a semester on Categorification and Computation in Algebraic Combinatorics at ICERM alongside Chris Bowman, Nicolas Liebedinsky, Lauren Williams, Greta Panova, Rosa Orellana, Kyu-Hwan Lee, Jamie Vicary, Anna Schilling, and Adam Wagner. Information on how to participate is here.
Some Past Events:
I organized the 2024-2025 UC Berkeley Combinatorics Research Seminar with John Leftner, Mitsuki Hanada, and Christian Gaetz. Updated schedule of talks is available here.
In Fall 2023 I organized the combinatorics reading seminar at UC Berkeley on Quantum Groups and Crystal Graphs. Website is here.
I organized an in person workshop on Algebra, geometry, and combinatorics of link homology at the American Institute of Math with Eugene Gorsky, Matt Hogancamp, Oscar Kivinen, and Alexei Oblomkov in Summer 2023. Information is HERE. Previously, we organized a related online research community. Recordings of that can be found here.
Im Spring 2023 co-organized the combinatorics reading seminar at UC Berkeley alongside Chris Ryba on the Okounkov-Vershik approach to the representation theory of the symmetric group. For the reading schedule, notes, and information click HERE.
I organized a conference on Field theories and vertex algebras with Raphaël Rouquier on October 2-5th 2022. Website is HERE.
I organized a learning seminar on categorification with Ben Elias, Mikhail Khovanov and Melissa Zhang. Previous recordings of the talks can be found HERE.
I am co-organized a special session at the 2021 Mathematical Congress of the Americas focused on "Categorification, Higher Representation Theory, and Homological Link Invariants" with Matt Hogancamp and Karina Batistelli on July 19-24, 2021.
I co-organized the UC Riverside Diversity and Excellence Workshop focused on Women in Combinatorics and Representation Theory alongside Vyjayanthi Chari and Zajj Daugherty on May 15-16, 2021. For more information visit the website HERE.
In Fall 2020 I co-organized the combinatorics reading seminar at UC Berkeley alongside Foster Tom and Sylvie Corteel on q,t-Catalan numbers, diagonal harmonics, and the combinatorics behind the Shuffle conjecture. For the reading schedule, notes, videos, and information click HERE.
(for upcoming talks click here)
July 28 - Aug 2, 2024 Combinatorics and Geometry of Moduli Spaces of Curves- BIRS, Canada
July 15-19, 2024 Diagrammatic Intuition and Deep Learning in Mathematics- York University, UK
May 4-6, 2024 AMS Sectional Meeting - San Francisco State, special sessions on ''Diagrammatic Algebras in Representation Theory and Beyond'' and ''Groups and Representations''.
April 11-14, 2024 Gone Fishing 2024- Northwestern University
Jan 26-28, 2024 Combinatorial Algebra meets Algebraic Combinatorics - LACIM Montreal, Canada
Jan 7-12, 2024 Community in Algebraic and Enumerative Combinatorics - BIRS, Canada
Upcoming Talks:
Special Session on Algebraic and geometric perspectives on low-dimensional topology, JMM, Washington DC, Jan 7, 2021.
Colloquium, Texas A&M University, Dec 7, 2020.
Applied Algebra Seminar, York University, Nov 23, 2020.
Bay Area Discrete (BAD) math day, UC Davis, Nov 21, 2020.
AWM Virtual Seminar Series, University of North Carolina, Chapel Hill, Nov 16, 2020.
Women in Combinatorics Virtual Colloquium, online, Nov 12, 2020.
Algebra Seminar, University of Georgia, online , Nov 2, 2020.
WiSE 20th Anniversary Celebration, University of Southern California, Oct 28, 2020.
Online Fall Western Sectional Meeting, Special session on "Monoidal categories in representation theory", Oct 25, 2020
"Intersectionality in STEM and Beyond" for Women in the Physical Sciences, UCLA, online - Oct 21, 2020.
Combinatorics Seminar, UC Berkeley, online - Oct 19, 2020
Geometry, Physics, and Representation Theory Seminar, Northeastern University, online - Oct 8, 2020
The RepNet Virtual Seminar, Sept 16, 2020
Quantum Groups, Categorification, Knot Invariants, and Soergel Bimodules, University of Oregon, Eugene OR - Aug 10-14, 2020
Algebra and Discrete Math Seminar, UC Davis, Davis, CA - April 27, 2020
Geometry and Representation Theory, University of California, Riverside, CA - Dec 14-16, 2019
Seminario Itinerante de Teoria de Representacion, UNAM, Oaxaca, Mexico - Dec 8-9, 2019
Algebraic and geometric categorification, BIRS: Casa Matematica Oaxaca, Oaxaca, Mexico - Dec 1-6, 2019
Combinatorics Seminar, UCLA, Los Angeles, CA - Oct 2019
Summer School: Geometric representation theory and low-dimensional topology, International Centre for Mathematical Sciences, Edinburgh, UK - June 7, 2019
Algebra Seminar, UCLA, Los Angeles, CA - April 19, 2019
AMS Spring Sectional, University of Hawaii at Manoa, Honolulu, HI - March 22-24 2019
Algebraic Topology Seminar, University of Chicago, Chicago IL - March 12, 2019
Mathematical Physics Seminar, Perimeter Institute for Theoretical Physics, Waterloo, Canada - Jan 17, 2019
Categorification in Quantum Topology and Beyond, Erwin Schrodinger Institute, Vienna, Austria - Jan 8, 2019
Lie Theory Seminar, UC Riverside, Riverside, CA - Nov 29, 2018
Algebra Seminar, UCSD, San Diego, CA - Dec 4, 2018
Quantum Algebra and Topology Seminar, UCSB, Santa Barbara, CA - Nov 13, 2018
Algebra Seminar, University of Oregon, Eugene, OR - Nov 6, 2018
Algebra and Discrete Mathematics Seminar, UC Davis, Davis, CA - Oct 29, 2018
AMS Fall Western Sectional, San Francisco State University, San Francisco, CA - Oct 27, 2018
Algebra, Geometry, and Combinatorics Seminar, San Francisco State University, San Francisco, CA - Oct 24, 2018
Combinatorics Seminar, Univ. of Southern California, Los Angeles, CA - Oct 17, 2018
Women in Science and Engineering Stem Bytes Seminar, Univ. of Southern California, Los Angeles, CA - Oct 16, 2018
Categorifying Quantum 3-Manifold Invariants Summer School and Workshop, University of Southern California, Los Angeles, CA - Jul 2018
Algebra Seminar, University of Utah, Salt Lake City, UT - May 2018
Algebra and Combinatorics Seminar, UC Davis, Davis, CA - April 2018
AMS Fall Western Sectional, UC Riverside, CA - Nov 2017
Underrepresented Students in Topology and Algebra Research Symposium, Amherst College, Amherst, MA-Mar 2017
Women in Math in Southern California Research Symposium, University of Southern California, Los Angeles, CA - Feb 2017