## Martha Precup

I am an Assistant Professor in the department of mathematics and statistics at Washington University in St. Louis. My primary research interests are in algebraic geometry, combinatorics, and representation theory. Much of my work involves using Lie theory to strengthen and develop connections between combinatorics and geometry. I received my PhD from Notre Dame in 2013 under the direction of Sam Evens. Feel free to contact me with any questions or check out my CV.

### Preprints

- 2. "Upper-triangular linear relations on multiplicities and the Stanley-Stembridge conjecture," with Megumi Harada, arXiv:1812.09503
- 1. "Hessenberg varieties of parabolic type," with Julianna Tymoczko, arXiv:1701.04140

### Publications

- 8. "The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture," with Megumi Harada, to appear in Algebraic Combinatorics, arXiv:1709.06736
- 7. "The singular locus of semisimple Hessenberg varieties," with Erik Insko, Journal of Algebra (2019), arXiv:1709.05423
- 6. "Springer fibers and Schubert points," with Julianna Tymoczko, European Journal of Combinatorics (2019), arXiv:1701.03502
- 5. "The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture," with Megumi Harada, Proceedings of the 30th International Conference on Formal Power Series and Algebraic Combinatorics, Séminaire Lotharingien de Combinatoire (2018)
- 4. "The Betti numbers of regular Hessenberg varieties are palindromic," Transformation Groups (2017), arXiv:1603.07662
- 3. "The connectedness of Hessenberg varieties," Journal of Algebra (2015), arXiv:1310.4212
- 2. "Affine pavings of Hessenberg varieties for semisimple groups," Selecta Mathematica (2013), arXiv:1205.3976v2
- 1. "Classification of Geometric Spirals," Pi Mu Epsilon Journal (2010)