From August 2019-January 2020 I am a guest in the Department of Mathematics at TU Kaiserslautern. Before this, I was a researcher at Max Planck Institute for Mathematics in Bonn, Germany for the period April-July 2019. This completed a postdoc of two years' duration at the MPIM which I began in August 2016. In between, I worked at the University of Bonn from April 2018-March 2019.

I completed my PhD at the University of Chicago as a student of Victor Ginzburg in August, 2012. My area of research is representation theory.

You can reach me at: norton[at]mathematik[dot]uni-kl[dot]de

- On the Harish-Chandra series of finite unitary groups and the sl
_{∞}-crystal on level 2 Fock spaces, arXiv (submitted) - Classification of the finite-dimensional unitary representations of type B rational Cherednik algebras, arXiv (submitted)
- Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group (with M.S. Im), arXiv (submitted)
- On calibrated representations of the degenerate affine periplectic Brauer algebra (with Z. Daugherty, I. Halacheva, and M.S. Im), arXiv (submitted)
- The Dipper-Du Conjecture revisited, arXiv (submitted)
- Generalized Mullineux involution and perverse equivalences (with T. Gerber and N. Jacon), arXiv (submitted)
- Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras (with C. Bowman and J. Simental), arXiv (submitted)
- The affine VW supercategory (with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, V. Serganova and C. Stroppel), arXiv (submitted)
- The sl
_{∞}-crystal combinatorics of higher level Fock spaces (with T. Gerber),*Journal of Combinatorial Algebra*Volume 2, Issue 2, 2018, pp. 103--145. JCA - The finite-dimensional representations of the rational Cherednik algebra of
*E*when_{8}*c=1/3*. arXiv -
Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, part II: some decomposition matrices of
*H*and_{c}(E_{8})*H*. arXiv_{c}(F_{4}) - Translation functors and decomposition numbers for the periplectic Lie superalgebra p(n) (with M. Balagovic, Z. Daugherty, I. Entova-Aizenbud, I. Halacheva, J. Hennig, M. S. Im, G. Letzter, V. Serganova and C. Stroppel), accepted in
*Mathematical Research Letters*. arXiv - Character formulas and Bernstein-Gelfand-Gelfand resolutions for Cherednik algebra modules (with S. Griffeth)
*Proceedings of the London Mathematical Society***113**(2016) 868--906. Proc.LMS - Irreducible representations of rational Cherednik algebras for exceptional Coxeter groups, Part I. arXiv
- Symplectic Reflection Algebras in Positive Characteristic as Ore Extensions. arXiv (submitted)

Niklas Mertens wrote a bachelor thesis entitled *Derivierte Aequivalenzen von Brauerbaumalgebren* under my supervision at the University of Bonn, Winter Semester 2018/19.

The exercises for Professor Stroppel's course Algebra II, Winter Semester 2018/19 at the University of Bonn.

I led a representation theory seminar for undergraduates at the University of Bonn, Summer Semester 2018. The topic was representations of quivers.