What is he best known for?
The fields of study he is best known for:
- Algebra
- Geometry
- Pure mathematics
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.
His most cited work include:
- Period Spaces for p-divisible Groups (454 citations)
- Les Schémas de Modules de Courbes Elliptiques (411 citations)
- D-elliptic sheaves and the Langlands correspondence (200 citations)
What are the main themes of his work throughout his whole career to date?
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
- Intersection that connect with fields like Arithmetic,
- Algebraic geometry and related Endomorphism.
He most often published in these fields:
- Pure mathematics (63.93%)
- Algebra (27.05%)
- Shimura variety (18.85%)
What were the highlights of his more recent work (between 2016-2021)?
- Pure mathematics (63.93%)
- Type (7.38%)
- Abelian group (10.66%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- Stratifications in the reduction of Shimura varieties (33 citations)
- On the arithmetic transfer conjecture for exotic smooth formal moduli spaces (19 citations)
- Regular formal moduli spaces and arithmetic transfer conjectures (18 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Algebra
- Pure mathematics
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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