I am an Assistant Professor at the University of South Alabama. 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 Alabama in August 2021, I was a Limited Term Assistant Professor at the University of Georgia and a Research Fellow at the University of Melbourne.
Research Interests
 Geometric & Combinatorial Representation Theory
 Categorification
 LowDimensional Topology & Topological Quantum Field Theory
My research is supported by an AMSSimons PUI Grant.
Publications
Journal Articles
 Exotic Springer fibers for orbits corresponding to onerow bipartitions
(jt. with N. Saunders), arXiv:1810.03731, Transform. Groups 27 (2022), 11111147
 Irreducible components of tworow Springer fibers for all classical types
(jt. with M. S. Im and C.J. Lai), arXiv:2011.13138, Proc. Amer. Math. Soc. 150 (2022), 24152432
 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), 217248
 Real Springer fibers and odd arc algebras
(jt. with J. N. Eberhardt and G. Naisse), arXiv:2003.07297, J. Lond. Math Soc. 103 (2021), 14151452
 Singular TQFTs, foams and type D arc algebras
(jt. with M. Ehrig and D. Tubbenhauer), arXiv:1611.07444, Doc. Math. 24 (2019), 15851655
 Twoblock 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. 34, 13871430
 Topology of tworow Springer fibers for the even orthogonal and symplectic group
arXiv:1511.01961, Trans. Amer. Math. Soc. 370 (2018), no. 4, 27072737
Preprints
 Irreducible components of tworow 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*not intended for publication; superseded by arXiv:2009.08778 and arXiv:2011.13138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 tworow Springer fibers for the even orthogonal group
Oberwolfach Reports, Volume 12, Issue 2, 2015
Theses
Teaching (South Alabama)
Spring 2024
Fall 2023
Spring 2023
Fall 2022
Spring 2022
Fall 2021
Teaching (UGA)
Spring 2021
 MATH 8030 (Topics in Algebra)
(Representation Theory of FiniteDimensional 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)
