Faculty

Institution

Unit

Venue

James Brennan

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

James Brennan is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

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Experiences

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Education

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James Brennan

University of Kentucky

Professor

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mathematics applied mathematics mathematical analysis approximation theory spectral theory analytic number theory functional analysis mathematical sciences numerical analysis numerical mathematics nonlinear analysis mathematical optimization geometric analysis algebraic analysis theoretical analysis linear algebra operator theory function spaces geometric topology combinatorial theory low-rank approximation geometry of numbers invariant subspaces complex analysis rational approximation relevance feedback approximation methods complex function theory theoretical mathematics point evaluations analytic continuation computer science statistics boundary value problems time complexity function theory finite fields parameter identification global analysis abstract analysis polynomial approximation rational functions numerical algorithms computational optimization machine learning research scientific computing approximate reasoning nonlinear functional analysis topological invariants geometric interpolation orthogonal polynomials temporal complexity quasi-experiments decision analysis capacity planning estimation theory multiple-criteria decision analysis quasiconformal mappings integral geometry intermediate representation fourier analysis fourier expansion variational analysis non-caratheodory domains uniform rational approximation analytic functions certain spaces complex plane dense subsets conformal mapping negative fourier coefficients certain function spaces point derivations book review rational mechanic

Notable Scholarly Works

Notable Federal Grants

Collaborators

Boundary Values in Spaces Spanned by Rational Functions and the Index of Invariant Subspaces. Proceedings of the London Mathematical Society (2022)

J. E. Brennan

geometric topologyalgebraic topologyfunction spacesfinite fieldsmathematicsgeometry of numbersfacies analysisspectral theoryfunctional analysisboundary value problemsrational functionscombinatorial theoryinvariant subspacesanalytic number theoryalgebraic geometryboundary valuesreal algebraic geometrygeometric analysisgroup theoryapplied mathematics

Bounded Point Derivations on Certain Function Spaces. St Petersburg Mathematical Journal (2018)

Stephen Deterding

analytic number theoryalgebraic number theoryfunctional analysistheoretical analysiscombinatorial theorynumerical analysisoperator theorymathematicsnumerical mathematicsvariational analysisparameter identificationcertain function spacesmathematical analysisfunction spacespoint derivationsspectral theoryapplied mathematicsmathematical sciences

On a Problem of Beurling. St Petersburg Mathematical Journal (2018)

J. E. Brennan

analytic number theoryalgebraic number theorynumerical linear algebramathematical logiccombinatorial theorymathematicsnumerical mathematicsnumber theorymathematical analysisspectral theoryapplied mathematicsmathematical sciences

Three Problems in Function Theory. Operator theory (2018)

J. E. Brennan

function theorycomplex function theoryoperator theorymathematics

Absolutely Continuous Representing Measures for R ( X ). Bulletin of the London Mathematical Society (2014)

J. E. Brennan

mathematical optimizationgeometric topologyanalytic number theoryfunctional analysiscombinatorial theoryapplied mathematicsmeasure theorymathematicsgeometrygeometry of numbersnumber theorymathematical analysiscontinuous optimizationspectral theorygeometry and topologymathematical sciencesnon-additive measure

Approximation by Rational Functions on Compact Nowhere Dense Subsets of the Complex Plane. Analysis and Mathematical Physics (2013)

J. E. BrennanC. N. Mattingly

low-rank approximationfunctional analysisnonlinear analysisrational functionstheoretical analysisabstract analysismathematical physicsglobal analysismathematicsgeometric analysiscomplex analysiscomplex planefunction spacesapproximation theoryapplied mathematicsrational approximationdense subsets

$L^{P}$-Bounded Point Evaluations for Polynomials and Uniform Rational Approximation. St Petersburg Mathematical Journal (2010)

J. E. BrennanE. R. Militzer

analytic number theoryrelevance feedbacknonlinear analysisreal analysisnumerical analysismathematicsuniform rational approximationgeometric analysispoint evaluationsmathematical analysisapproximation theoryapplied mathematicsrational approximation

On a Conjecture of Mergelyan. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) (2008)

J. E. Brennan

geometric topologyanalytic number theoryalgebraic geometryfunctional analysispure mathematicsabstract analysismathematicsapplied algebrageometric analysismathematical analysisalgebraic analysisapplied mathematics

The Structure of Certain Spaces of Analytic Functions. Computational Methods and Function Theory (2008)

James E. Brennan

mathematical optimizationtheoretical analysiscomplex analysiscertain spacesfunction spacescomplex function theorycomputer sciencetopologymathematicsnumerical mathematicsspectral theoryanalytic functionsfunctional analysisnonlinear analysisnumerical analysiscomputational mathematicsfunction theoryanalytic number theoryalgebraic analysisapplied mathematics

Thomson’s Theorem on Mean Square Polynomial Approximation. St Petersburg Mathematical Journal (2006)

J. E. Brennan

mathematical optimizationanalytic number theorynonlinear analysisapproximation methodsnumerical analysisscientific computingmathematicscomputational mathematicsnumerical mathematicsnumber theorymathematical analysisapproximation theoryapplied mathematicsmathematical sciences

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James Brennan

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

James Brennan is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

James Brennan

University of Kentucky

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Boundary Values in Spaces Spanned by Rational Functions and the Index of Invariant Subspaces. Proceedings of the London Mathematical Society (2022)

J. E. Brennan

Bounded Point Derivations on Certain Function Spaces. St Petersburg Mathematical Journal (2018)

Stephen Deterding

On a Problem of Beurling. St Petersburg Mathematical Journal (2018)

J. E. Brennan

Three Problems in Function Theory. Operator theory (2018)

J. E. Brennan

function theorycomplex function theoryoperator theorymathematics

Absolutely Continuous Representing Measures for R ( X ). Bulletin of the London Mathematical Society (2014)

J. E. Brennan

Approximation by Rational Functions on Compact Nowhere Dense Subsets of the Complex Plane. Analysis and Mathematical Physics (2013)

J. E. BrennanC. N. Mattingly

$L^{P}$-Bounded Point Evaluations for Polynomials and Uniform Rational Approximation. St Petersburg Mathematical Journal (2010)

J. E. BrennanE. R. Militzer

On a Conjecture of Mergelyan. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) (2008)

J. E. Brennan

The Structure of Certain Spaces of Analytic Functions. Computational Methods and Function Theory (2008)

James E. Brennan

Thomson’s Theorem on Mean Square Polynomial Approximation. St Petersburg Mathematical Journal (2006)

J. E. Brennan

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3
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