Michael Rapoport

Michael Rapoport (born 2 October 1948) is an Austrian mathematician.

Career

Rapoport received his Ph.D. from Paris-Sud 11 University in 1976, under the supervision of Pierre Deligne. He currently holds a chair for arithmetic algebraic geometry at the University of Bonn, as well as a visiting appointment at the University of Maryland. In 1992 he was awarded the Gottfried Wilhelm Leibniz Prize, in 1999 he won the Gay-Lussac–Humboldt Prize, and he is the recipient of the 2011 Heinz Hopf Prize. In 1994 he was an Invited Speaker (with talk Non-Archimedean period domains) at the ICM in Zurich.

Rapoport's students include Maria Heep-Altiner, Werner Baer, Peter Scholze, Eva Viehmann.

Personal life

Michael Rapoport is the son of pediatrician Ingeborg Rapoport and biochemist Samuel Mitja Rapoport, and brother of biochemist Tom Rapoport.

Selected publications

• with P. Deligne: Les schémas de modules de courbes elliptiques. Modular functions of one variable, II (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), pp. 143–316. Lecture Notes in Math., Vol. 349, Springer, Berlin 1973. doi:10.1007/978-3-540-37855-6_4.
• with A. Ash, D. Mumford, Y. Tai: Smooth compactification of locally symmetric varieties. Lie Groups: History, Frontiers and Applications, Vol. IV. Math. Sci. Press, Brookline, Mass. 1975; 2nd edition (with the collaboration of Peter Scholze), 2010, x+230 pages ISBN 978-0-521-73955-9 MR2590897
• with T. Zink: Ãœber die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik. In: Invent. Math. 68 (1982), no. 1, pp. 21–101. doi:10.1007/BF01394268
• with G. Laumon, U. Stuhler: ${\displaystyle {\mathcal {D}}}$-elliptic sheaves and the Langlands correspondence. In: Invent. Math. 113 (1993), no. 2, pp. 217–338. doi:10.1007/BF01244308
• Non-Archimedean period domains. Proceedings of the International Congress of Mathematicians, Vol. 1 (Zürich, 1994), Birkhäuser, Basel 1995, pp. 423–434.
• with M. Richartz: On the classification and specialization of F-isocrystals with additional structure. In: Composito Mathematica 103(1996), no. 2, pp. 153–182. MR1411570
• with T. Zink: Period spaces for ${\displaystyle p}$-divisible groups. In: Annals of Mathematics Studies. 141. Princeton University Press, Princeton, NJ 1996. xxii+324 pages ISBN 0-691-02782-X MR1393439
• with S. Kudla, T. Yang: Modular forms and special cycles on Shimura curves. In: Annals of Mathematics Studies. 161. Princeton University Press, Princeton, NJ, 2006. x+373 pages ISBN 0-691-12551-1 MR2220359
• with S. Kudla: Special cycles on unitary Shimura varieties I. Unramified local theory. In: Invent. Math. 184 (2011), no. 3, pp. 629–682. doi:10.1007/s00222-010-0298-z