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Michael Rapoport

Michael Rapoport

D-Index & Metrics

Mathematics

D-Index
39
Citations
8104
World Ranking
2153
National Ranking
136

Overview

Michael Rapoport is affiliated with the University of Bonn in Germany. Their scholarly work primarily relates to the field of Mathematics with a particular focus on subfields such as Mathematical Physics, Geometry and Topology, and Algebra and Number Theory. Their research interests further extend into topics encompassing Advanced Algebra and Geometry, Algebraic Geometry and Number Theory, and Advanced Topics in Algebra.

Rapoport has contributed to several peer-reviewed journals and conferences. Notable recent papers include:

  • Modularity of generating series of divisors on unitary Shimura varieties (2020), published in Astérisque
  • Arithmetic diagonal cycles on unitary Shimura varieties (2020), published in Compositio Mathematica
  • Good and semi-stable reductions of Shimura varieties (2020), published in Journal de l'École polytechnique - Mathématiques
  • On Shimura varieties for unitary groups (2021), published in Pure and Applied Mathematics Quarterly
  • $p$-adic shtukas and the theory of global and local Shimura varieties (2024), published in Cambridge Journal of Mathematics

The venues where Rapoport frequently publishes include:

  • arXiv (Cornell University)
  • Astérisque
  • Journal of the Institute of Mathematics of Jussieu
  • Value in Health
  • Journal de l'École polytechnique - Mathématiques

They have collaborated repeatedly with several scholars in their field, most notably:

  • Stephen S. Kudla
  • Jan Hendrik Bruinier
  • Benjamin Howard
  • Tonghai Yang
  • G. Pappas

Rapoport's research spans various topics and subfields, including:

  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Advanced Topics in Algebra
  • Analytic Number Theory Research
  • Alkaloids: synthesis and pharmacology
  • Algebraic structures and combinatorial models
  • Homotopy and Cohomology in Algebraic Topology

Their body of work reflects a broad engagement with both theoretical and applied aspects of mathematics, incorporating elements from mathematical physics and combinatorics as well.

Best Publications

  • Les Schémas de Modules de Courbes Elliptiques

    Pierre Deligne;M. Rapoport

  • Smooth Compactifications of Locally Symmetric Varieties

    Avner Ash;David Mumford;Michael Rapoport;Yung-sheng Tai

  • Period Spaces for p-divisible Groups

    M. Rapoport;Thomas Zink

  • Period Spaces for p-divisible Groups (AM-141), Volume 141

    Michael Rapoport;Thomas Zink

  • D-elliptic sheaves and the Langlands correspondence

    G. Laumon;M. Rapoport;U. Stuhler

  • Twisted loop groups and their affine flag varieties

    Georgios Pappas;Michael Rapoport

  • Compactifications de l'espace de modules de Hilbert-Blumenthal

    M. Rapoport

  • Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik.

    M. Rapoport;Th. Zink

  • A guide to the reduction modulo p of Shimura varieties

    M. Rapoport

  • On the classification and specialization of $F$ -isocrystals with additional structure

    M. Rapoport;M. Richartz

  • On the Torelli problem for kählerian $K-3$ surfaces

    Dan Burns;Michael Rapoport

  • Modular Forms and Special Cycles on Shimura Curves. (AM-161)

    Stephen S. Kudla;Michael Rapoport;Tonghai Yang

  • Modular Forms and Special Cycles on Shimura Curves.

    Tonghai Yang;Stephen S. Kudla;Michael Rapoport

  • Towards a theory of local Shimura varieties

    Michael Rapoport;Eva Viehmann

  • Shimuravarietäten und Gerben.

    R.P. Langlands;M. Rapoport

  • Beilinson's conjectures on special values of L-functions

    M. Rapoport;Norbert Schappacher;P. Schneider

  • On the Derivative of an Eisenstein Series of Weight One

    Stephen S. Kudla;Michael Rapoport;Tonghai Yang

  • Minuscule alcoves for GL~n and GSp~2~n

    R. Kottwitz;M. Rapoport

  • Period domains over finite and p-adic fields

    Jean-François Dat;Sascha Orlik;Michael Rapoport

  • ON PARAHORIC SUBGROUPS

    T. Haines;M. Rapoport

Frequent Co-Authors

Stephen S. Kudla
Stephen S. Kudla University of Toronto
David Mumford
David Mumford Brown University
Pierre Deligne
Pierre Deligne Institute for Advanced Study

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