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Arik Wilbert

Arik Wilbert

Assistant Professor
Department of Math and Statistics

Biography

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

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

  • 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 for all classical types (jt. with M. S. Im and C.-J. Lai), arXiv:2011.13138

  • Springer fibers via quiver varieties using Maffei-Nakajima isomorphism (jt. with M. S. Im and C.-J. Lai), arXiv:2009.08778

  • 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*not intended for publication; superseded by arXiv:2009.08778 and arXiv:2011.13138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

  • Two-row Springer fibers, foams and arc algebras of type D Ph.D. thesis, University of Bonn, 2017

  • Khovanov homology from a geometric point of view Master's thesis, University of Bonn, 2013

  • Algebraic aspects of topological quantum field theories Bachelor's thesis, University of Bonn, 2011

Teaching

Fall 2021