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)

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  • 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.

References

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  1. ^ "International Mathematical Olympiad – Entry Kresch at IMO". imo-official.org. Retrieved 2022-11-18.
  2. ^ "Andrew Kresch". mathgenealogy.org. Retrieved 2022-08-30.
  3. ^ Four new professors, NZZ, March 13, 2006
  4. ^ "Andrew Kresch". ae-info.org.
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