Michael Rapoport

4.4k total citations
58 papers, 1.8k citations indexed

About

Michael Rapoport is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Michael Rapoport has authored 58 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Mathematical Physics, 48 papers in Geometry and Topology and 14 papers in Algebra and Number Theory. Recurrent topics in Michael Rapoport's work include Algebraic Geometry and Number Theory (44 papers), Advanced Algebra and Geometry (43 papers) and Algebraic structures and combinatorial models (13 papers). Michael Rapoport is often cited by papers focused on Algebraic Geometry and Number Theory (44 papers), Advanced Algebra and Geometry (43 papers) and Algebraic structures and combinatorial models (13 papers). Michael Rapoport collaborates with scholars based in Germany, United States and France. Michael Rapoport's co-authors include Thomas Zink, Stephen S. Kudla, G. Pappas, Tonghai Yang, Th. Zink, D. Burns, Gérard Laumon, Robert Kottwitz, Ulrich Stuhler and David Mumford and has published in prestigious journals such as Inventiones mathematicae, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Michael Rapoport

55 papers receiving 1.5k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Rapoport Germany 24 1.7k 1.6k 381 296 76 58 1.8k
Robert Kottwitz United States 20 1.5k 0.9× 1.6k 1.0× 353 0.9× 535 1.8× 70 0.9× 35 1.7k
Marie‐France Vignéras France 14 916 0.5× 932 0.6× 302 0.8× 281 0.9× 109 1.4× 38 1.1k
Angelo Vistoli Italy 18 1.5k 0.9× 1.0k 0.6× 309 0.8× 171 0.6× 53 0.7× 43 1.5k
Haruzo Hida United States 21 1.6k 0.9× 1.6k 1.0× 875 2.3× 224 0.8× 56 0.7× 74 1.7k
Michael Harris France 23 1.5k 0.9× 1.7k 1.1× 687 1.8× 386 1.3× 54 0.7× 65 1.8k
Stephen S. Kudla United States 26 1.5k 0.9× 1.8k 1.1× 778 2.0× 503 1.7× 89 1.2× 63 1.8k
A. Ramanathan India 15 1.1k 0.6× 898 0.6× 175 0.5× 205 0.7× 42 0.6× 21 1.1k
Alexander Merkurjev United States 17 1.4k 0.9× 1.1k 0.7× 491 1.3× 366 1.2× 62 0.8× 70 1.5k
François Loeser France 17 780 0.5× 561 0.4× 304 0.8× 133 0.4× 121 1.6× 52 878
Shrawan Kumar United States 16 1.2k 0.7× 1.0k 0.6× 487 1.3× 587 2.0× 23 0.3× 62 1.4k

Countries citing papers authored by Michael Rapoport

Since Specialization
Citations

This map shows the geographic impact of Michael Rapoport's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Rapoport with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Rapoport more than expected).

Fields of papers citing papers by Michael Rapoport

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Rapoport. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Rapoport. The network helps show where Michael Rapoport may publish in the future.

Co-authorship network of co-authors of Michael Rapoport

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Rapoport. A scholar is included among the top collaborators of Michael Rapoport based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Rapoport. Michael Rapoport is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kudla, Stephen S., Michael Rapoport, & Thomas Zink. (2024). On the $p$-adic uniformization of unitary Shimura curves. Mémoires de la Société mathématique de France.
2.
3.
Bruinier, Jan Hendrik, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, & Tonghai Yang. (2020). Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications. Astérisque. 421. 127–186. 3 indexed citations
4.
Kudla, Stephen S. & Michael Rapoport. (2018). New cases of $p$-adic uniformization. Astérisque. 2 indexed citations
5.
Illusie, Luc, et al.. (2018). Cohomologies $p$-adiques et applications arithmétiques (III). Astérisque. 5 indexed citations
6.
He, Xuhua & Michael Rapoport. (2016). Stratifications in the reduction of Shimura varieties. manuscripta mathematica. 152(3-4). 317–343. 19 indexed citations
7.
Kudla, Stephen S. & Michael Rapoport. (2014). An alternative description of the Drinfeld p -adic half-plane. Annales de l’institut Fourier. 64(3). 1203–1228. 10 indexed citations
8.
Rapoport, Michael, et al.. (2013). On the arithmetic fundamental lemma in the minuscule case. Compositio Mathematica. 149(10). 1631–1666. 18 indexed citations
9.
Cogdell, James, Jens Funke, Michael Rapoport, & Tonghai Yang. (2011). Arithmetic geometry and automorphic forms. 25 indexed citations
10.
Rapoport, Michael, et al.. (2008). Deligne–Lusztig varieties and period domains over finite fields. Journal of Algebra. 320(3). 1220–1234. 9 indexed citations
11.
Haines, Thomas J. & Michael Rapoport. (2008). Appendix: On parahoric subgroups. Advances in Mathematics. 219(1). 188–198. 27 indexed citations
12.
Pappas, G. & Michael Rapoport. (2008). Twisted loop groups and their affine flag varieties. Advances in Mathematics. 219(1). 118–198. 110 indexed citations
13.
Kudla, Stephen S., Michael Rapoport, & Tonghai Yang. (2004). Derivatives of Eisenstein series and Faltings heights. Compositio Mathematica. 140(4). 887–951. 40 indexed citations
14.
Rapoport, Michael. (2002). On the Newton stratification. French digital mathematics library (Numdam). 44. 207–224. 7 indexed citations
15.
Kottwitz, Robert & Michael Rapoport. (2000). Minuscule alcoves for GL n and GSp 2n. manuscripta mathematica. 102(4). 403–428. 38 indexed citations
16.
Kudla, Stephen S. & Michael Rapoport. (2000). Height pairings on Shimura curves and p-adic uniformization. Inventiones mathematicae. 142(1). 153–223. 25 indexed citations
17.
Rapoport, Michael & Th. Zink. (1999). A finiteness theorem in the Bruhat-Tits building: an application of Landvogt's embedding theorem. Indagationes Mathematicae. 10(3). 449–458. 13 indexed citations
18.
Rapoport, Michael, et al.. (1996). On the classification and specialization of $F$ -isocrystals with additional structure. Compositio Mathematica. 103(2). 153–181. 101 indexed citations
19.
Rapoport, Michael & Th. Zink. (1982). �ber die lokale Zetafunktion von Shimuravariet�ten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik. Inventiones mathematicae. 68(1). 21–101. 87 indexed citations
20.
Rapoport, Michael. (1978). Compactifications de l'espace de modules de Hilbert-Blumenthal. Compositio Mathematica. 36(3). 255–335. 93 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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