My area of research is algebraic geometry. In particular, I am interested in the geometry of moduli spaces. For my PhD thesis, I studied spaces of stable surface-curve pairs, which highlight beautiful relationships between the geometry of curves and the geometry of surfaces.
Publications:
"Genus six curves, K3 surfaces, and stable pairs." International Mathematics Research Notices, rnz372, https://doi.org/10.1093/imrn/rnz372
"Non-left-orderable surgeries on twisted torus knots" (with Christianson, K.; Hamann, L.; & Varadaraj, S.). Proceedings of the American Mathematical Society 144.6 (2016): 2683-2696. (This work was conducted as part of an REU program at Columbia University during the summer of 2014).
Seminar talks:
1. University of Georgia Algebraic Geometry Seminar: Genus six curves, K3 surfaces, and stable pairs. Fall 2019.
2. Tufts Algebra, Geometry, and Number Theory Seminar: Genus six curves, K3 surfaces, and stable pairs. Fall 2019.
3. Northeastern University Pick My Brain Seminar: Genus six curves, K3 surfaces, and stable pairs. Fall 2019.
4. Valley Geometry Seminar at UMass Amherst (five college seminar: Amherst College, Hampshire College, Mount Holyoke College, Smith College and UMass): Genus six curves, K3 surfaces, and stable pairs. Fall 2019.
5. Boston College Number Theory/Algebraic Geometry seminar: Genus six curves, K3 surfaces, and stable pairs. Spring 2019.
6. Boston College GIST seminar: Stable reduction for curves. Fall 2018.
7. Boston College GIST seminar: An informal discussion of birational geometry and intersection theory. Spring 2018.
8. Boston College GIST seminar: Geometric Invariant Theory. Fall 2017.