Faculty

Institution

Unit

Venue

Pierre Albin

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Pierre Albin 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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Pierre Albin

University of Illinois Urbana-Champaign

Professor

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mathematics geometric topology mathematical sciences geometry and topology differential geometry applied mathematics geometric analysis algebraic topology riemannian geometry global analysis riemannian manifold complex geometry geometry algebraic geometry global geometry spectral theory operator theory lie theory function spaces noncommutative geometry topological invariants lie group boundary value problems algebraic analysis schubert calculus manifold modeling galois covering fibered cusps heat kernel signature package signature operator nonlinear phenomena nonlinear analysis nonlinear science ricci flow dirac operator topological properties supermanifold integral geometry discrete differential geometry lie algebra cheeger spaces hodge theory slavic languages statistics high energy physics statistical software scientific data experimental physics nonlinear dynamics geometric flows method of fundamental solution free boundary problems spectral analysis riemann-hilbert problem geometric partial differential equation enumerative geometry higher category theory topological algebra projective geometry resolvent kernel data-driven science group representation elliptic function curvature integrals renormalized index theorem gauss-bonnet theorem regular metrics ricci flow converges constant curvature cheeger space boundary conditions ideal boundary conditions analytic representations functional analysis spectral geometry

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Index Formula for Families of Dirac Type Operators on Pseudomanifolds. Journal of Differential Geometry (2023)

Pierre AlbinJesse Gell-Redman

dirac operatorcompatible perturbationsdifferential geometryoperator algebrasglobal analysisoperator theorymathematicsdirac type operatorsspectral theoryindex formulamathematical sciences

A Cheeger–MüLler Theorem for Manifolds With Wedge Singularities. Analysis & PDE (2022)

Pierre AlbinFrédéric RochonDavid Sher

geometric topologywedge manifoldwedge singularitiesdifferential geometryriemannian geometryriemannian manifoldglobal analysismathematicsgeometrycheeger–müller theoremglobal geometrygeometric analysissymplectic geometryalgebraic topologygeometry and topologymathematical sciences

Stratified Surgery and K-Theory Invariants of the Signature Operator. Annales Scientifiques de l École Normale Supérieure (2022)

Pierre ALBINPaolo PIAZZA

geometric topologytopological invariantstopologyclosed manifoldsapplied mathematicslie groupmathematicsoriented manifoldssignature operatortopological algebraalgebraic topologygeometry and topologymathematical sciences

Resolvent, Heat Kernel, and Torsion Under Degeneration to Fibered Cusps. Memoirs of the American Mathematical Society (2021)

Pierre AlbinFrédéric RochonDavid Sher

geometric topologydegeneration 43differential geometryriemannian geometryheat kernelriemannian manifoldapplied mathematicsglobal analysismathematicsgeometryfibered cuspsgeometric analysismanifold modelingmathematical analysisspectral theorygeometry and topologymathematical sciences

Resolvent, Heat Kernel, and Torsion Under Degeneration to Fibered Cusps. Memoirs of the American Mathematical Society (2021)

Pierre AlbinFrédéric RochonDavid Sher

geometric topologydifferential geometryriemannian geometryheat kernelriemannian manifoldapplied mathematicsglobal analysismathematicsfibered cuspsgeometric analysismathematical analysisflat bundlegeometry and topologymathematical sciences

Poincaré-Lovelock Metrics on Conformally Compact Manifolds. Advances in Mathematics (2020)

Pierre Albin

geometric topologydifferential geometryriemannian geometrypoincaré-lovelock metricstopologyriemannian manifoldglobal analysismathematicsfunction spacesgeometry and topologymathematical sciences

Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds. International Mathematics Research Notices (2020)

Pierre AlbinHadrian Quan

geometric topologydifferential geometryriemannian geometryheat kerneltopologyriemannian manifoldapplied mathematicsmathematicsgeometrycontact manifoldsgeometric analysissub-riemannian limitspectral theorygeometry and topology

Compactification of Semi-Simple Lie Groups. arXiv (Cornell University) (2019)

Pierre AlbinPanagiotis DimakisRichard MelroseDavid Vogan

wonderful compactificationgeometric topologylie algebratopologyrepresentation theorycomplex geometrymathematicslie groupsemi-simple lie groupsalgebraic topologyparabolic subgroupslie theorygeometry and topologymathematical sciences

Analytic Torsion and R-Torsion of Witt Representations on Manifolds With Cusps. Duke Mathematical Journal (2018)

Pierre AlbinFrédéric RochonDavid Sher

geometric topologyanalytic torsiondifferential geometryriemannian geometryriemannian manifoldnatural compactificationglobal analysisfibered cuspsmathematicsglobal geometrygeometric analysisalgebraic topologygeometry and topologymathematical sciences

Compactification of Sl(2). arXiv (Cornell University) (2018)

Pierre AlbinPanagiotis DimakisRichard Melrose

geometric topologyadditional complicationslie algebrarepresentation theoryapplied mathematicsmathematicsgroup representationlie groupconormal functionscompact manifoldsfunction spaceslie theorygeometry and topologymathematical sciences

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Pierre Albin

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Pierre Albin 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

Pierre Albin

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

The Index Formula for Families of Dirac Type Operators on Pseudomanifolds. Journal of Differential Geometry (2023)

Pierre AlbinJesse Gell-Redman

dirac operatorcompatible perturbationsdifferential geometryoperator algebrasglobal analysisoperator theorymathematicsdirac type operatorsspectral theoryindex formulamathematical sciences

A Cheeger–MüLler Theorem for Manifolds With Wedge Singularities. Analysis & PDE (2022)

Pierre AlbinFrédéric RochonDavid Sher

Stratified Surgery and K-Theory Invariants of the Signature Operator. Annales Scientifiques de l École Normale Supérieure (2022)

Pierre ALBINPaolo PIAZZA

Resolvent, Heat Kernel, and Torsion Under Degeneration to Fibered Cusps. Memoirs of the American Mathematical Society (2021)

Pierre AlbinFrédéric RochonDavid Sher

Resolvent, Heat Kernel, and Torsion Under Degeneration to Fibered Cusps. Memoirs of the American Mathematical Society (2021)

Pierre AlbinFrédéric RochonDavid Sher

Poincaré-Lovelock Metrics on Conformally Compact Manifolds. Advances in Mathematics (2020)

Pierre Albin

geometric topologydifferential geometryriemannian geometrypoincaré-lovelock metricstopologyriemannian manifoldglobal analysismathematicsfunction spacesgeometry and topologymathematical sciences

Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds. International Mathematics Research Notices (2020)

Pierre AlbinHadrian Quan

Compactification of Semi-Simple Lie Groups. arXiv (Cornell University) (2019)

Pierre AlbinPanagiotis DimakisRichard MelroseDavid Vogan

Analytic Torsion and R-Torsion of Witt Representations on Manifolds With Cusps. Duke Mathematical Journal (2018)

Pierre AlbinFrédéric RochonDavid Sher

Compactification of Sl(2). arXiv (Cornell University) (2018)

Pierre AlbinPanagiotis DimakisRichard Melrose

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mathematics

symplectic geometry

Reyer Sjamaar

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Cornell University

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applied mathematics

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topology

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moduli spaces

Eugene Lerman

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