I am a fifth year graduate student in the Department of Mathematics at the University of Virginia. My advisor is Weiqiang Wang . My research interests are in representation theory, categorification, and algebraic combinatorics. Specifically, I am studying the traces (or cocenters) and representations of Hecke-Clifford algebras in classical types (which are closely linked to the spin representation theory of classical Weyl groups) and of the twisted Heisenberg category. My recent work has focused on connections between these traces and symmetric functions.

I am also interested in computation and its application to both my research and other interesting problems. Last year I completed a Kaggle competition with Donald Lee-Brown, in which we attempted to use machine learning to identify species of fish from images taken on the deck of fishing boats in order to combat overfishing and bycatch. You can take a look at the project here.

In my free time, I run (most recently, the 2017 Richmond Marathon), hike (here's me en route to Hallett Peak in Rocky Mountain National Park), and try to keep my dogs Aria and Pandora out of trouble.

Here is my CV.

Email: mar3nf (at) virginia (dot) edu

Office: 401 Kerchof Hall

*Trace of the twisted Heisenberg category*(with C. Oguz), 2017. To appear in Comm. in Math. Phys. arXiv 1702.08108.*Cocenters of the Hecke Clifford and spin Hecke algebras*, 2016. In Journal of Algebra (April 2017). arXiv 1605.05744-
*Gelfand Models for Diagram Algebras*(with T. Halverson), 2015. In Journal of Algebraic Combinatorics. arXiv 1302.6150

*The type B extended nilHecke algebra and symmetric functions*, arXiv 1710.10698.*Center of the twisted Heisenberg category*(with H. Kvinge and C. Oguz), arXiv 1712.09626.*The spin Heisenberg category*(with W. Wang), in preparation.

- 2018 Joint Mathematics Meetings - AMS Contributed Paper Session on Lie Theory and Related Topics. January 2018, San Diego, CA.
- Virginia Tech Algebra Seminar, October 2017.
*Trace and center of the twisted Heisenberg category.* - AMS Special Session on Combinatorics and Representation Theory of Reflection Groups: Real and Complex, September 2017, Denton, TX.
- AMS Special Session on Representation Theory and Integrable Systems, April 2017, Bloomington, IN.
- University of Virginia Algebra Seminar, February 2017.
*Trace of the twisted Heisenberg category.*Link to slides. - University of Virginia Graduate Seminar, September 2016.
- Southeastern Lie Theory Conference: Algebraic groups, Quantum groups, and Geometry, May 2016, University of Virginia.
- University of Virginia Graduate Seminar, February 2016.
- University of Virginia Algebra Seminar, December 2014.
*Gelfand Models for diagram algebras.*Link to slides.

- US-Mexico Conference on Representation Theory and Noncommutative Algebra, May 2016, University of Southern California.
- Southeastern Lie Theory Conference: Algebraic and Combinatorial Representation Theory, October 2015, North Carolina State University.
- Summer School and Workshop on Lie Theory, July 2015, East China Normal University.
- AMS Southeast Spring Sectional, March 2015, Georgetown University.