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- Thomas P. Branson

University of Iowa

United States

- 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.

- 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)

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.

- Mathematical analysis (64.22%)
- Pure mathematics (41.28%)
- Mathematical physics (42.20%)

- Pure mathematics (41.28%)
- Mathematical analysis (64.22%)
- Laplace operator (17.43%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The asymptotics of the Laplacian on a manifold with boundary

Thomas P. Branson;Peter B. Gilkey.

Communications in Partial Differential Equations **(1990)**

405 Citations

Differential operators cononically associated to a conformal structure.

Thomas P. Branson.

Mathematica Scandinavica **(1985)**

378 Citations

Sharp inequalities, the functional determinant, and the complementary series

Thomas P. Branson.

Transactions of the American Mathematical Society **(1995)**

372 Citations

Group representations arising from Lorentz conformal geometry

Thomas P Branson;Thomas P Branson;Thomas P Branson.

Journal of Functional Analysis **(1987)**

254 Citations

Explicit functional determinants in four dimensions

Thomas P. Branson;Bent Ørsted.

Proceedings of the American Mathematical Society **(1991)**

200 Citations

Estimates and extremals for zeta function determinants on four-manifolds

Thomas P. Branson;Sun-Yung Alice Chang;Paul Chien-Ping Yang.

Communications in Mathematical Physics **(1992)**

187 Citations

Stein–Weiss Operators and Ellipticity

Thomas Branson.

Journal of Functional Analysis **(1997)**

147 Citations

Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

Thomas P. Branson;Luigi Fontana;Carlo Morpurgo.

Annals of Mathematics **(2013)**

132 Citations

The Functional determinant

Thomas P Branson.

**(1993)**

102 Citations

Residues of the eta function for an operator of Dirac type

Thomas P. Branson;Peter B. Gilkey.

Journal of Functional Analysis **(1992)**

99 Citations

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