Contact Information
301 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Description
My primary research interests are in the area of algebraic geometry and its interaction with theoretical physics, especially string theories and supersymmetric field theories.
Education
Ph.D., Mathematics, Princeton University, 1980
Additional Campus Affiliations
Special Advisor to the Dean, College of Liberal Arts and Sciences
Professor, Physics
External Links
Honors & Awards
Fellow, American Mathematical Society, 2013
Recent Publications
Katz, S., & Shi, Y. (2022). D-critical loci for length n sheaves on local toric Calabi-Yau 3-folds. Bulletin of the London Mathematical Society, 54(6), 2101-2116. https://doi.org/10.1112/blms.12680
Katz, S., & Taylor, W. (2022). Dimensional reduction of B-fields in F-theory. Pure and Applied Mathematics Quarterly, 18(4), 1621-1660. https://doi.org/10.4310/PAMQ.2022.v18.n4.a10
Katz, S., & Morrison, D. R. (2022). Enumerative geometry of the mirror quintic. Pure and Applied Mathematics Quarterly, 18(4), 1599-1619. https://doi.org/10.4310/PAMQ.2022.v18.n4.a9
Choi, J., Van Garrel, M., Katz, S., & Takahashi, N. (2021). Log BPS numbers of log Calabi-Yau surfaces. Transactions of the American Mathematical Society, 374(1), 687-732. https://doi.org/10.1090/tran/8234
Choi, J., van Garrel, M., Katz, S., & Takahashi, N. (2021). Sheaves of maximal intersection and multiplicities of stable log maps. Selecta Mathematica, New Series, 27(4), Article 61. https://doi.org/10.1007/s00029-021-00671-0