About me
My website has moved. You can find it here
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.
Beginning in the fall of 2024, I will be an RTG postdoc at the University of Oregon under the supervision of Nick Addington.
Email: jrfoster at math dot umass dot edu
Preprints/Publications
The Lefschetz standard conjectures for IHSMs of generalized Kummer deformation type in certain degrees, 2023. (Published in the European Journal of Mathematics.)
Moduli of properly elliptic surfaces of Kodaira dimension one fibered over rational curves, 2024. -- Joint with Dori Bejleri, Andres Fernandez Herrero, Giovanni Inchiostro, Svetlana Makarova, and Junyan Zhao.