Arik Wilbert

Department of Mathematics & Statistics
University of South Alabama
Mobile, AL 36688

Office MSPB 477
Phone (251) 460-7704
Email wilbert (add ''at'' southalabama.edu)

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
  • Low-Dimensional Topology & Topological Quantum Field Theory


Teaching (South Alabama)

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)


Publications

Journal Articles

  • Exotic Springer fibers for orbits corresponding to one-row bipartitions
    (jt. with N. Saunders), arXiv:1810.03731, to appear in Transform. Groups
  • 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

  • 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

Conference Proceedings

  • Topology of two-row Springer fibers for the even orthogonal group
    Oberwolfach Reports, Volume 12, Issue 2, 2015

Theses