## Martha Precup

I am a postdoctoral lecturer in the mathematics department at Northwestern University. Before that, I was a postdoc in the mathematics department at Baylor University. 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.

### Research Interests

My primary research interests are in algebraic geometry, combinatorics, and representation theory. Much of my work involves using Lie theory to characterize the geometry of Hessenberg varieties, Springer fibers, and other subvarieties of the flag variety.

### Publications

- 8. "The cohomology of abelian Hessenberg varieties and the Stanley-Stembridge conjecture," with Megumi Harada, preprint, arXiv:1709.06736
- 7. "The singular locus of semisimple Hessenberg varieties," with Erik Insko, submitted, arXiv:1709.05423
- 6. "Hessenberg varieties of parabolic type," with Julianna Tymoczko, submitted, arXiv:1701.04140
- 5. "Springer fibers and Schubert points," with Julianna Tymoczko, submitted, arXiv:1701.03502
- 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)