Faculty

Institution

Unit

Venue

Brian C. Hall

Professor

University of Notre Dame

Affiliations

College of Science

Mathematics

Brian C. Hall is currently serving as a College Of Science Professor at University of Notre Dame.

Honors

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Experiences

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Education

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Brian C. Hall

University of Notre Dame

Professor

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applied mathematics mathematics spectral theory pure mathematics mathematical physics mathematical analysis theoretical mathematics physics functional analysis operator theory segal-bargmann transform mathematical sciences numerical analysis numerical mathematics geometric topology particle physics quantum mechanics lie theory lie group foundation of mathematics coherent states mathematical optimization nonlinear science lie algebra group representation compact lie groups quantum science matrix theory yang-mills theory gauge field theory infinite dimensional analysis knot theory geometric quantization complex type large-n limit brown measure biophysics theoretical physics computational optimization finite fields random matrix quantum theory semisimple lie algebras holomorphic methods compact type complex structures makeenko-migdal equation compact lie group phase space heat operator luminescence scientific computing boundary value problems global optimization thermal engineering statistical mechanics statistical physics information theory optical sensors chemical sensors atomic fluorescence spectroscopy numerical method for partial differential equation gauge theory quantization (signal processing) string theory thermal properties thermal analysis fourier analysis stochastic optimization finite element methods convective heat transfer quantum error correction infinite dimensional problem matrix factorization matrix methods inverse segal-bargmann transform mathematical modelling constructive field theory lie point symmetry eigenvalue distribution applied mathematical modelling pde methods

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Brown Measure of a Family of Free Multiplicative Brownian Motions. Probability Theory and Related Fields (2022)

Brian C. HallChing-Wei Ho

probability theoryapplied mathematicsbrown measure

The Brown Measure of the Free Multiplicative Brownian Motion. Probability Theory and Related Fields (2022)

Bruce K. DriverBrian HallTodd Kemp

probability theoryapplied mathematicsbrown measure

The Brown Measure of the Sum of a Self-Adjoint Element and an Imaginary Multiple of a Semicircular Element. Letters in Mathematical Physics (2022)

Brian C. HallChing-Wei Ho

particle physicssemicircular elementimaginary multiplemathematical physicsself-adjoint elementapplied mathematicsbrown measure

Pde Methods in Random Matrix Theory. Springer optimization and its applications (2020)

Brian C. Hall

mathematical optimizationglobal optimizationstochastic optimizationpde methodsmathematicsfinite element methodsrandom matrix theorypartial differential equationscomputational optimizationnumerical linear algebramatrix theoryapplied mathematicsrandom matrix

Semisimple Lie Algebras. CRC Press eBooks (2020)

Morikuni GotoFrank D. Grosshans

semisimple lie algebraspure mathematicslie algebramathematics

Basic Representation Theory. Mathematical surveys (2019)

Williams, Dana

mathematical optimizationlinguisticsplausible reasoningrepresentation theorymathematicsoperator theorysurvey methodologygroup theorymathematical analysisbasic representation theoryspectral theoryapplied mathematicsmathematical sciences

Brown Measure Support and the Free Multiplicative Brownian Motion. Advances in Mathematics (2019)

Brian C. HallTodd Kemp

applied mathematicsbrown measure supportnumber theory

The Complex-Time Segal–Bargmann Transform. Journal of Functional Analysis (2019)

Bruce K. DriverBrian C. HallTodd Kemp

biophysicscomplex-time segal-bargmann transformapplied mathematicsfunctional analysis

A Unitary ‘Quantization Commutes With Reduction’ Map for the Adjoint Action of a Compact Lie Group. The Quarterly Journal of Mathematics (2018)

Brian C HallBenjamin D Lewis

mathematical analysisadjoint actioncompact lie groupapplied mathematics

Coherent States for Compact Lie Groups and Their Large-N Limits. Springer proceedings in physics (2018)

Brian C. Hall

coherent statesphysicslarge-n limitsmathematical physicslie groupcompact lie groupslie theory

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Brian C. Hall

Professor

University of Notre Dame

Affiliations

College of Science

Mathematics

Brian C. Hall is currently serving as a College Of Science Professor at University of Notre Dame.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Brian C. Hall

University of Notre Dame

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Brown Measure of a Family of Free Multiplicative Brownian Motions. Probability Theory and Related Fields (2022)

Brian C. HallChing-Wei Ho

probability theoryapplied mathematicsbrown measure

The Brown Measure of the Free Multiplicative Brownian Motion. Probability Theory and Related Fields (2022)

Bruce K. DriverBrian HallTodd Kemp

probability theoryapplied mathematicsbrown measure

The Brown Measure of the Sum of a Self-Adjoint Element and an Imaginary Multiple of a Semicircular Element. Letters in Mathematical Physics (2022)

Brian C. HallChing-Wei Ho

particle physicssemicircular elementimaginary multiplemathematical physicsself-adjoint elementapplied mathematicsbrown measure

Pde Methods in Random Matrix Theory. Springer optimization and its applications (2020)

Brian C. Hall

Semisimple Lie Algebras. CRC Press eBooks (2020)

Morikuni GotoFrank D. Grosshans

semisimple lie algebraspure mathematicslie algebramathematics

Basic Representation Theory. Mathematical surveys (2019)

Williams, Dana

Brown Measure Support and the Free Multiplicative Brownian Motion. Advances in Mathematics (2019)

Brian C. HallTodd Kemp

applied mathematicsbrown measure supportnumber theory

The Complex-Time Segal–Bargmann Transform. Journal of Functional Analysis (2019)

Bruce K. DriverBrian C. HallTodd Kemp

biophysicscomplex-time segal-bargmann transformapplied mathematicsfunctional analysis

A Unitary ‘Quantization Commutes With Reduction’ Map for the Adjoint Action of a Compact Lie Group. The Quarterly Journal of Mathematics (2018)

Brian C HallBenjamin D Lewis

mathematical analysisadjoint actioncompact lie groupapplied mathematics

Coherent States for Compact Lie Groups and Their Large-N Limits. Springer proceedings in physics (2018)

Brian C. Hall

coherent statesphysicslarge-n limitsmathematical physicslie groupcompact lie groupslie theory

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Similar Faculty Members

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Institution

University of California, Davis

quantum field theory

topology

Peter A. Perry

Institution

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spectral theory

inverse scattering transforms

Peter D. Hislop

Institution

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complex analysis

random schrodinger operators

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constructive field theory

Marc A. Rieffel

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function space

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signal processing

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