Andrew Kresch Explained

Andrew Harold Kresch (born 1972) is an American mathematician specializing in algebraic geometry and a professor at the University of Zurich.

Kresch won a silver medal at the 1989 International Mathematical Olympiad.^[1] He studied at the Yale University and received his PhD from University of Chicago in 1998 under the supervision of William Fulton on Chow Homology for Artin Stacks.^[2] He was lecturer at the University of Warwick and became a full professor at the University of Zurich in 2006.^[3]

In 2024 Kresch became an elected member of Academia Europaea.^[4]

Publications (Selection)

• with Buch, Anders Skovsted; Tamvakis, Harry (2017). A Giambelli formula for isotropic Grassmannians. Selecta Mathematica, 23(2):869-914.
• with Buch, Anders Skovsted; Purbhoo, Kevin; Tamvakis, Harry (2016). The puzzle conjecture for the cohomology of two-step flag manifolds. Journal of Algebraic Combinatorics, 44(4):973-1007.
• with Bumsig, Kim; Oh Yong-Geun. A compactification of the space of maps from curves. Transactions of the American Mathematical Society, vol. 366, no. 1, 2014, pp. 51–74. JSTOR, http://www.jstor.org/stable/23813129. Accessed 30 Aug. 2022.
• Flattening stratification and the stack of partial stabilizations of prestable curves. (2013) Bulletin of the London Mathematical Society, 45(1):93-102.
• On the geometry of Deligne-Mumford stacks. In: Abramovich, D; Bertram, A; Katzarkov, L; Pandharipande, R; Thaddeus, M. Algebraic Geometry: Seattle 2005. Providence, Rhode Island: American Mathematical Society, 259–271.
• with Tamvakis, H (2003). Quantum cohomology of the Lagrangian Grassmannian. Journal of Algebraic Geometry, 12(4):777-810.
• with Edidin, D; Hassett, B; Vistoli, A (2001). Brauer groups and quotient stacks. American Journal of Mathematics, 123(4):761-777.
• Gromov-Witten invariants of a class of toric varieties (2000). Michigan Mathematical Journal, 48(1):369-391.

External links

• Website at the University of Zurich

Notes and References

1. Web site: International Mathematical Olympiad – Entry Kresch at IMO . imo-official.org. 2022-11-18.
2. Web site: Andrew Kresch. mathgenealogy.org. 2022-08-30.
3. https://www.nzz.ch/articleDNJQE-ld.42301 Four new professors
4. Web site: Andrew Kresch. ae-info.org.