His primary areas of investigation include Pure mathematics, Algebra, Shimura variety, Discrete mathematics and Combinatorics. His study on Eisenstein series and Theta function is often connected to Generating function and Intersection theory as part of broader study in Algebra. The various areas that Michael Rapoport examines in his Shimura variety study include Group, Product and Affine transformation.
The study incorporates disciplines such as Structure and Newton polygon in addition to Discrete mathematics. His research integrates issues of Periodic lattice and Geometry, Symplectic geometry in his study of Combinatorics. The Moduli space study combines topics in areas such as Functor, Relation and Algebraic variety.
Michael Rapoport mainly investigates Pure mathematics, Algebra, Shimura variety, Discrete mathematics and Eisenstein series. He studied Pure mathematics and Group that intersect with Affine transformation. His study in the field of Cohomology and Schubert variety also crosses realms of Period and Uniformization.
His Shimura variety research includes themes of Locus, Stratification, Modulo and Product. His Discrete mathematics research integrates issues from Modularity and Reductive group. His research on Eisenstein series also deals with topics like
Michael Rapoport focuses on Pure mathematics, Type, Abelian group, Arithmetic and Conjecture. Pure mathematics connects with themes related to Signature in his study. Michael Rapoport interconnects Ramification and Diagonal in the investigation of issues within Type.
His Abelian group study combines topics in areas such as Upper half-plane and Lie algebra. Michael Rapoport works mostly in the field of Arithmetic, limiting it down to topics relating to Intersection and, in certain cases, Dimension, as a part of the same area of interest. His study in Shimura variety is interdisciplinary in nature, drawing from both Discrete mathematics, Modulo, Modularity, Stratification and Axiom.
Michael Rapoport spends much of his time researching Pure mathematics, Ramification, Arithmetic, Conjecture and Transfer. Specifically, his work in Pure mathematics is concerned with the study of Shimura variety. His Shimura variety research is multidisciplinary, incorporating perspectives in Algebraic geometry, Number theory, Stratification, Modulo and Axiom.
His Ramification research incorporates elements of Fundamental lemma, Morphism, Type and Abelian group. Michael Rapoport has included themes like Trace, Space, Formal moduli, Quadratic equation and Field in his Arithmetic study. His Space study frequently draws connections between adjacent fields such as Unitary group.
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Les Schémas de Modules de Courbes Elliptiques
Pierre Deligne;M. Rapoport.
Lecture Notes in Mathematics (1973)
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.
Inventiones Mathematicae (1993)
Compactifications de l'espace de modules de Hilbert-Blumenthal
Compositio Mathematica (1978)
Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik.
M. Rapoport;Th. Zink.
Inventiones Mathematicae (1982)
Twisted loop groups and their affine flag varieties
Georgios Pappas;Michael Rapoport.
Advances in Mathematics (2008)
A guide to the reduction modulo p of Shimura varieties
arXiv: Algebraic Geometry (2002)
On the classification and specialization of $F$ -isocrystals with additional structure
M. Rapoport;M. Richartz.
Compositio Mathematica (1996)
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