I am an Assistant Professor at Baylor University. I obtained my Ph.D. at the University of Bonn and the Max Planck Institute for Mathematics in Bonn under the supervision of Catharina Stroppel in July 2017. Before moving to Baylor in August 2026, I was an Assistant Professor at the University of South Alabama, a Limited Term Assistant Professor at the University of Georgia, and a Research Fellow at the University of Melbourne in Australia.
Research Interests
- Geometric & Combinatorial Representation Theory
- Categorification
- Low-Dimensional Topology & Topological Quantum Field Theory
I am supported by NSF Grant DMS-2532878 LEAPS-MPS: Categorification in Algebra and Topology (2025-2027).
Publications
Journal Articles
- Two-row Delta Springer varieties
(jt. with A. Lacabanne and P. Vaz), arXiv:2407.10792, Algebr. Comb. 8 (2025), 925-953
- Exotic Springer fibers for orbits corresponding to one-row bipartitions
(jt. with N. Saunders), arXiv:1810.03731, Transform. Groups 27 (2022), 1111-1147
- Irreducible components of two-row Springer fibers for all classical types
(jt. with M. S. Im and C.-J. Lai), arXiv:2011.13138, Proc. Amer. Math. Soc. 150 (2022), 2415-2432
- A study of irreducible components of Springer fibers using quiver varieties
(jt. with M. S. Im and C.-J. Lai), arXiv:2009.08778, J. Algebra 591 (2022), 217-248
- Real Springer fibers and odd arc algebras
(jt. with J. N. Eberhardt and G. Naisse), arXiv:2003.07297, J. Lond. Math Soc. 103 (2021), 1415-1452
- Singular TQFTs, foams and type D arc algebras
(jt. with M. Ehrig and D. Tubbenhauer), arXiv:1611.07444, Doc. Math. 24 (2019), 1585-1655
- Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory
(jt. with C. Stroppel), arXiv:1611.09828, Math. Z. 292 (2019), no. 3-4, 1387-1430
- Topology of two-row Springer fibers for the even orthogonal and symplectic group
arXiv:1511.01961, Trans. Amer. Math. Soc. 370 (2018), no. 4, 2707-2737
Preprints
- Category O for Lie superalgebras
(jt. with C.-J. Lai and D. K. Nakano), arXiv:2505.17563
- Irreducible components of two-row Springer fibers and Nakajima quiver varieties*
(jt. with M. S. Im and C.-J. Lai), arXiv:1910.03010
*not intended for publication; superseded by arXiv:2009.08778 and arXiv:2011.13138
Books
- Geometric and Algebraic Aspects of Quantum Groups and Related Topics
(edited with M. S. Im and B. Nguyen), AMS Contemporary Mathematics, Volume 791, 2024, 227 pages
Conference Proceedings
- Topology of two-row Springer fibers for the even orthogonal group
Oberwolfach Reports, Volume 12, Issue 2, 2015
Theses
Teaching (Baylor)
Fall 2026
Teaching (South Alabama)
Spring 2026
Fall 2025
Spring 2025
Fall 2024
Spring 2024
Fall 2023
Spring 2023
Fall 2022
Spring 2022
Fall 2021
Teaching (UGA)
Spring 2021
- MATH 8030 (Topics in Algebra)
(Representation Theory of Finite-Dimensional Algebras and Quivers)
Fall 2020
Summer 2020
- MATH 8930 (Seminar in Algebraic Geometry)
(Link Invariants, Categorification and Algebraic Geometry)
Spring 2020
Fall 2019
- MATH 1113 (Precalculus)
(2 sections; flipped classroom model developed by T. Alli)
Teaching (Melbourne)
Semester 1 (2019)
Semester 2 (2018)
Semester 1 (2018)
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