What is he best known for?
The fields of study he is best known for:
- Algebra
- Vector space
- Geometry
His primary areas of study are Algebra, Pure mathematics, Invariant theory, Combinatorics and Fourier integral operator.
Many of his research projects under Algebra are closely connected to Branching with Branching, tying the diverse disciplines of science together.
Roger Howe has included themes like Discrete mathematics and Multiplicity in his Invariant theory study.
His Combinatorics research incorporates elements of Unitary representation, Automorphic form, Character group and Character table.
Roger Howe has researched Automorphic form in several fields, including Ergodic theory, Matrix, Irreducible representation and Locally compact group.
His work in the fields of Fourier integral operator, such as Microlocal analysis, intersects with other areas such as Geometric quantization, Stochastic partial differential equation and Method of quantum characteristics.
His most cited work include:
- Remarks on classical invariant theory (584 citations)
- Transcending classical invariant theory (354 citations)
- Asymptotic properties of unitary representations (275 citations)
What are the main themes of his work throughout his whole career to date?
Roger Howe spends much of his time researching Pure mathematics, Algebra, Combinatorics, Discrete mathematics and Representation theory.
Pure mathematics is closely attributed to Group in his work.
His Group research includes elements of Bohr model, Simple and Uniqueness.
Classical group, Heisenberg group and Tensor product are the core of his Algebra study.
Roger Howe combines subjects such as Matrix, Irreducible representation, Automorphic form and Convex hull with his study of Combinatorics.
The study incorporates disciplines such as Vector space and Linear subspace in addition to Discrete mathematics.
He most often published in these fields:
- Pure mathematics (46.36%)
- Algebra (23.18%)
- Combinatorics (19.21%)
What were the highlights of his more recent work (between 2009-2020)?
- Pure mathematics (46.36%)
- Algebra (23.18%)
- Classical group (6.62%)
In recent papers he was focusing on the following fields of study:
Roger Howe focuses on Pure mathematics, Algebra, Classical group, Combinatorics and Group.
His research in Pure mathematics intersects with topics in Discrete mathematics and Linear algebraic group.
His Classical group research includes elements of Monomial and Iterated function.
His Combinatorics research is multidisciplinary, incorporating perspectives in Locus, Law of cosines, Tensor product and Unipotent.
His work focuses on many connections between Tensor product and other disciplines, such as Irreducible representation, that overlap with his field of interest in Finite field.
In Group, Roger Howe works on issues like Simple, which are connected to Quantum mechanics, Orbit and Bohr compactification.
Between 2009 and 2020, his most popular works were:
- On A Notion of Rank for Unitary Representations of the Classical Groups (39 citations)
- Why should the Littlewood–Richardson Rule be true? (33 citations)
- Discrete Groups in Geometry and Analysis (17 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Geometry
- Vector space
His primary areas of investigation include Algebra, Classical group, Discrete mathematics, Littlewood–Richardson rule and Heisenberg group.
His work on Gauss sum as part of his general Discrete mathematics study is frequently connected to Weil group, Quadratic Gauss sum and Quadratic reciprocity, thereby bridging the divide between different branches of science.
In his papers, Roger Howe integrates diverse fields, such as Littlewood–Richardson rule, Ricci decomposition, Tensor product, Symplectic group, Reciprocity law and Irreducible representation.
His multidisciplinary approach integrates Ricci decomposition and Pure mathematics in his work.
His work on Invariant theory and Monomial as part of general Pure mathematics study is frequently connected to Solid harmonics, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His study in Heisenberg group is interdisciplinary in nature, drawing from both Oscillator representation, Representation theory of SU and Group, Regular representation.
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