Harshit Yadav
Max Wyman Assistant Professor
University of Alberta
Department of Mathematics
Email: hyadav3 [at] ualberta.ca
Curriculum Vitae (last update: Jan 29, 2026)
List of talks
About
My research interests are Hopf algebras, tensor categories and vertex operator algebras. I am on the job market for positions starting in fall 2026.
I received my PhD from Rice University in May 2023, advised by Dr. Chelsea Walton.
I spent the first three years of my graduate life at the University of Illinois at Urbana-Champaign. Earlier, in May 2017, I graduated from IIT, Kanpur with a Bachelors in Mathematics and Scientific Computing.
In preparation
- Rigidity and modularity of infinite order simple current extensions
joint with K. Shimizu.
Publications/Preprints
Here are my articles on arXiv and Google Scholar.
- Pivotal Brauer-Picard groupoids and graded extensions [arxiv] (preprint)
joint with A. Czenky, D. Jaklitsch, D. Nikshych, J. Plavnik, D. Reutter, S. Sanford.
- \( \otimes \)-Frobenius functors and exact module categories [arxiv] (submitted)
joint with D. Jaklitsch.
- Commutative exact algebras and modular tensor categories [arxiv] (submitted)
joint with K. Shimizu.
- Nondegenerate module categories [arxiv] [journal],
joint with C. Walton.
Mathematische Zeitschrift - Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras [arxiv] [journal]
joint with T. Creutzig, R.McRae, K. Shimizu.
Communications in Contemporary Mathematics - On unimodular module categories [arxiv] [journal]
Advances in Mathematics - Frobenius monoidal functors from (co)Hopf adjunctions [arxiv] [journal]
Proceedings of the AMS - On non-counital Frobenius algebras [arxiv] [journal],
joint with A. Hernandez, C. Walton.
Journal of Algebras and its Applications - Filtered Frobenius algebras in monoidal categories [arxiv] [journal],
joint with C. Walton.
International Math Research Notices - Equivariant cohomology, Schubert calculus, and edge-labeled tableaux [arxiv] [journal],
joint with C. Robichaux, A. Yong.
Facets of Algebraic Geometry: A Vol. in Honour of William Fulton's 80th Birthday, LMS Lecture Note Series - The A.B.C.Ds of Schubert calculus [arxiv] [journal],
joint with C. Robichaux, A. Yong.
Seminaire Lotharingien de Combinatoire
- Autoequivariant Network Search via Group Decomposition [arxiv],
joint with S. Basu, A. Magesh, L. Varshney.
presented at SIAM Conference on Mathematics of Data Science (MDS24), Atlanta, GA, 21-25 October 2024
Conference, workshop organization
- (Jan 2026) Geometric and category-theoretic approaches to conformal field theory
- BIRS, Chennai Math Institute, India
organized with Angela Gibney, Florencia Orosz Hunziker, Shashank Kanade and Swarnava Mukhopadhyay
- BIRS, Chennai Math Institute, India
- (Dec 2025) RIMS satellite seminars
- Research Institute in Mathematical Sciences, Kyoto, Japan
organized with Shashank Kanade, Shunsuke Tsuchioka and Hiroshi Yamauchi
- Research Institute in Mathematical Sciences, Kyoto, Japan
- (Feb, March 2024) Mini-workshop on VOAs
- University of Alberta, Canada
organized with Shigenori Nakatsuka and Thomas Creutzig
- University of Alberta, Canada
Seminar organization
- (Fall 2024) Geometry-Algebra-Physics (GAP) seminar - University of Alberta
- organized with Xi Chen
- (Winter 2024) Aspects of Mathematical Physics Seminar - University of Alberta
- organized with Räphael Belliard and Reinier Kramer
- (Fall 2018, Spring 2019) Algebra, Geometry and Combinatorics Seminar - UIUC
- organized with Colleen Robichaux and Alex Yong
Teaching
- University of Alberta
- Instructor for Math 214 - Calculus III: Spring and fall 2025
- Instructor for Math 228 - Ring theory: Winter, spring and fall 2024
- Rice University
- Grader for Math 357: Spring 2022
- Grader for Math 356:Fall 2020, Fall 2021
- TA (Recitation) for Math 302: Spring 2021
- University of Illinois at Urbana-Champaign*
- TA (Recitation) for Math 241 - Calculus 3: Fall 2017, Fall 2018, Spring 2019, Fall 2019
- TA (Recitation) for Math 231 - Calculus 2: Spring 2018 * = On the list of teachers ranked outstanding 3 times and the list of teachers ranked excellent one time.
Mentoring
- Ian Parrish (NSERC USRA program) (summer 2025)
Topic: Knot invariants
- Andrii Smutchak, Sofiia Breslavets (MIT Yulia's dream program) (2023-24)
Topic: double groupoids and weak Hopf algebras [final report]
- Amanda Hernandez (supervised along with Dr. Chelsea Walton) (2021-22)
Topics: (weak) Hopf algebras, quasi-Frobenius algebras, etc. [paper]