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
Awards and Honors
Fellow, American Mathematical Society, 2013
Additional Campus Affiliations
Special Advisor to the Dean, College of Liberal Arts and Sciences
Professor, Mathematics
Professor, Physics
External Links
Recent Publications
Katz, S., & Shi, Y. (2024). D-critical locus structure on the Hilbert schemes of some local toric Calabi-Yau threefolds. Mathematical Research Letters, 31(5), 1493-1522. https://doi.org/10.4310/MRL.241211045305
Katz, S., & Schimannek, T. (2024). Topologically nontrivial B-fields on nodal Calabi{Yau three-folds and hybrid GLSM. International Journal of Modern Physics A, 39(33), Article 2446003. https://doi.org/10.1142/S0217751X24460035
Katz, S., Klemm, A., Schimannek, T., & Sharpe, E. (2024). Topological Strings on Non-commutative Resolutions. Communications in Mathematical Physics, 405(3), Article 62. https://doi.org/10.1007/s00220-023-04896-2
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