Faculty

Institution

Unit

Venue

Richard S. Laugesen

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Richard S. Laugesen is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Richard S. Laugesen

University of Illinois Urbana-Champaign

Professor

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applied mathematics mathematics spectral theory geometric analysis mathematical analysis mathematical sciences functional analysis boundary value problems operator theory harmonic analysis convex analysis riemann-hilbert problem geometry and topology differential geometry function spaces geometry potential theory geometric partial differential equation global analysis physics geometric topology mathematical optimization nonlinear phenomena wavelet theory harmonic space interpolation spaces discrete geometry integral geometry applied physics nonlinear analysis nonlinear science polyhedron free boundary problems fourier transform nonlinear hyperbolic problem variational analysis elliptic equations energy minimization fourier analysis sampling theory first eigenvalue affine systems difference equations numerical mathematics gabor expansion variational inequalities matrix analysis quasiconformal mappings spectral analysis dirichlet form real algebraic geometry affine synthesis steady state neumann fundamental tones second eigenvalue euclidean space structural safety multidimensional signal processing critical phenomena function theory filter (signal processing) filtering technique convex hulls riemannian geometry microlocal analysis delaunay triangulation conformal mapping robin parameter lattice points tight frames second neumann eigenvalue sobolev spaces third eigenvalue automatic control engineering structures linear stability rational mechanic complex function theory complex analysis differential equations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Fourth Order Saint-Venant Inequalities: Maximizing Compliance and Mean Deflection Among Clamped Plates. Communications in Mathematical Physics (2025)

Mark S. AshbaughDorin BucurRichard S. LaugesenRoméo Leylekian

mechanical systemsabstract and applied analysisapplied mathematicsengineeringstructural safetymean deflectionstructural mechanicsclamped platesmechanicsmechanical engineering

Hausdorff Measure and Decay Rate of Riesz Capacity. Journal of Mathematical Analysis and Applications (2025)

Qiuling FanRichard S. Laugesen

applied mathematicsfunctional analysismeasure theorypoisson boundarymathematical analysisdecay ratespectral theory

Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures. Potential Analysis (2024)

Carrie ClarkRichard S. Laugesen

mathematical optimizationasymptotic analysisentropyapplied mathematicsgeometric analysisrational mechanicballs minimize momentsgeometric measure theorymathematicscalculus of variations

Big Career Interview Game: Cards+Guide. Society for Industrial and Applied Mathematics eBooks (2024)

Rachel LevyRichard LaugesenFadil Santosa

business studieshuman-computer interactionmanagementgame designjob analysisorganizational careerscareer concernsvocational behavior

Hausdorff Measure and Decay Rate of Riesz Capacity. arXiv (Cornell University) (2024)

Fan, QiulingLaugesen, Richard S.

real analysisfractalsfractal analysisapplied mathematicsmathematicsfunctional analysisfunction spaceseuclidean spacegeometric measure theorymeasure theorygeometric topologymathematical analysisdecay rateriesz capacityspectral theory

Maximizing Riesz Capacity Ratios: Conjectures and Theorems. arXiv (Cornell University) (2024)

Clark, CarrieLaugesen, Richard S.

mathematical optimizationapplied mathematicsgeometric analysismathematicsvariational analysisgeometric measure theorydiscrete geometryshape optimization programmathematical analysisparameter spaceriesz capacityconvex analysismathematical sciences

Riesz Capacity: Monotonicity, Continuity, Diameter and Volume. Analysis and Mathematical Physics (2024)

Carrie ClarkRichard S. Laugesen

mathematical modellingreal analysisabstract and applied analysisapplied mathematicsfunctional analysismathematical analysisfunction spacesgeometric measure theoryriemann-hilbert problemmeasure theorymathematicsriesz capacitymathematical sciences

Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. arXiv (Cornell University) (2023)

Langford, Jeffrey J.Laugesen, Richard S.

harmonic analysisgeometric partial differential equationmathematical physicssecond eigenvalueapplied mathematicsgeometric analysisspherical capsecond robin eigenvaluepartial differential equationsglobal analysisspectral theorymathematicsboundary value problemsdifferential geometrygeometry and topology

Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. Computational Methods and Function Theory (2023)

Jeffrey J. LangfordRichard S. Laugesen

mathematical physicsmembrane systemsapplied mathematicsgeometric analysismembrane permeationmembrane computingsecond robin eigenvaluemembrane formationmembranesmembrane sciencephysicsspectral theorymembrane structure

Scaling Inequalities for Spherical and Hyperbolic Eigenvalues. Journal of Spectral Theory (2023)

Jeffrey J. LangfordRichard S. Laugesen

harmonic analysisasymptotic analysissecond neumann eigenvalueapplied mathematicsgeometric analysismathematical analysiseuclidean spacemathematicsdifferential geometryspectral theoryhyperbolic eigenvalues

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Richard S. Laugesen

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Richard S. Laugesen is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Richard S. Laugesen

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Fourth Order Saint-Venant Inequalities: Maximizing Compliance and Mean Deflection Among Clamped Plates. Communications in Mathematical Physics (2025)

Mark S. AshbaughDorin BucurRichard S. LaugesenRoméo Leylekian

mechanical systemsabstract and applied analysisapplied mathematicsengineeringstructural safetymean deflectionstructural mechanicsclamped platesmechanicsmechanical engineering

Hausdorff Measure and Decay Rate of Riesz Capacity. Journal of Mathematical Analysis and Applications (2025)

Qiuling FanRichard S. Laugesen

applied mathematicsfunctional analysismeasure theorypoisson boundarymathematical analysisdecay ratespectral theory

Balls Minimize Moments of Logarithmic and Newtonian Equilibrium Measures. Potential Analysis (2024)

Carrie ClarkRichard S. Laugesen

mathematical optimizationasymptotic analysisentropyapplied mathematicsgeometric analysisrational mechanicballs minimize momentsgeometric measure theorymathematicscalculus of variations

Big Career Interview Game: Cards+Guide. Society for Industrial and Applied Mathematics eBooks (2024)

Rachel LevyRichard LaugesenFadil Santosa

business studieshuman-computer interactionmanagementgame designjob analysisorganizational careerscareer concernsvocational behavior

Hausdorff Measure and Decay Rate of Riesz Capacity. arXiv (Cornell University) (2024)

Fan, QiulingLaugesen, Richard S.

Maximizing Riesz Capacity Ratios: Conjectures and Theorems. arXiv (Cornell University) (2024)

Clark, CarrieLaugesen, Richard S.

Riesz Capacity: Monotonicity, Continuity, Diameter and Volume. Analysis and Mathematical Physics (2024)

Carrie ClarkRichard S. Laugesen

Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. arXiv (Cornell University) (2023)

Langford, Jeffrey J.Laugesen, Richard S.

Maximizing the Second Robin Eigenvalue of Simply Connected Curved Membranes. Computational Methods and Function Theory (2023)

Jeffrey J. LangfordRichard S. Laugesen

Scaling Inequalities for Spherical and Hyperbolic Eigenvalues. Journal of Spectral Theory (2023)

Jeffrey J. LangfordRichard S. Laugesen

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