What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
His primary scientific interests are in Mathematical analysis, Differential operator, Mathematical physics, Type and Pure mathematics.
Thomas Branson frequently studies issues relating to Pseudo-Riemannian manifold and Mathematical analysis.
The Differential operator study combines topics in areas such as Dirac operator and Conformal group.
His Conformal group research incorporates elements of D'Alembert operator, Quantum mechanics, Conformal geometry, Group representation and Primary field.
His studies in Mathematical physics integrate themes in fields like Differential form and Conformal symmetry.
Thomas Branson focuses mostly in the field of Pure mathematics, narrowing it down to matters related to Conformal map and, in some cases, Covariant transformation, Metric and Hyperbolic space.
His most cited work include:
- The asymptotics of the Laplacian on a manifold with boundary (258 citations)
- Differential operators cononically associated to a conformal structure. (234 citations)
- Sharp inequalities, the functional determinant, and the complementary series (228 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Pure mathematics, Mathematical physics, Differential operator and Conformal map are his primary areas of study.
His study connects Covariant transformation and Mathematical analysis.
His Pure mathematics research integrates issues from Space, Type and Inequality.
His study in Mathematical physics is interdisciplinary in nature, drawing from both Conformal geometry and Quantum mechanics, Spin-½.
The various areas that Thomas Branson examines in his Differential operator study include Primary field, Conformal group, Conformal symmetry, Spinor and Vector bundle.
His Conformal map research includes themes of Riemann manifold, Invariant and Infinitesimal.
He most often published in these fields:
- Mathematical analysis (64.22%)
- Pure mathematics (41.28%)
- Mathematical physics (42.20%)
What were the highlights of his more recent work (between 2005-2013)?
- Pure mathematics (41.28%)
- Mathematical analysis (64.22%)
- Laplace operator (17.43%)
In recent papers he was focusing on the following fields of study:
Thomas Branson focuses on Pure mathematics, Mathematical analysis, Laplace operator, Conformal map and Space.
Thomas Branson combines subjects such as Bundle, Representation and Trace with his study of Pure mathematics.
His work in the fields of Mathematical analysis, such as Conformal symmetry, Vector bundle and Integral representation, overlaps with other areas such as Regularization and Homogeneous.
His Conformal map study combines topics from a wide range of disciplines, such as Action, Invariant and Mathematical physics.
His Mathematical physics research is multidisciplinary, incorporating perspectives in Differential operator and Infinitesimal.
He interconnects Logarithm, Type and Inequality in the investigation of issues within Space.
Between 2005 and 2013, his most popular works were:
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere (99 citations)
- PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS (73 citations)
- Variational status of a class of fully nonlinear curvature prescription problems (43 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
His scientific interests lie mostly in Mathematical analysis, Conformal map, Space, Pure mathematics and Elliptic operator.
His Dimension research extends to the thematically linked field of Mathematical analysis.
His Conformal map study combines topics in areas such as Yamabe problem, Scalar curvature, Invariant and Mathematical physics.
His work deals with themes such as Riemann manifold, Differential operator, Differential invariant, Infinitesimal and Curvature of Riemannian manifolds, which intersect with Mathematical physics.
The concepts of his Space study are interwoven with issues in Inequality, Logarithm, Heisenberg group, Type and Conformal symmetry.
His work on Direct sum, Linear subspace, Pfaffian and Cohomology as part of general Pure mathematics research is often related to De Rham cohomology, thus linking different fields of science.
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