About me

I am a fifth year Ph.D. student in the mathematics department at the University of Massachusetts Amherst. My advisor is Eyal Markman. My research interests are in algebraic geometry, and they include hyperkähler geometry, moduli spaces of sheaves, and derived categories. Outside of mathematics I enjoy playing chess, hiking and running, and studying history and languages.

I expect to graduate in May 2024.

Email: jrfoster at math dot umass dot edu


The Lefschetz standard conjectures for IHSMs of generalized Kummer deformation type in certain degrees, 2023. (Submitted for publication in the European Journal of Mathematics.)