Faculty

Institution

Unit

Venue

Dan Mihai Barbasch

Professor

Cornell University

Affiliations

Continuing Education and Summer Sessions

College of Arts and Sciences

Department of Mathematics

Dan Mihai Barbasch is currently serving as a Continuing Education And Summer Sessions Professor at Cornell University.

Honors

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Experiences

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Education

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Dan Mihai Barbasch

Cornell University

Professor

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mathematics representation theory mathematical sciences group representation group theory lie theory lie group geometric topology applied mathematics algebraic geometry nilpotent groups operator algebras algebra spectral theory lie algebra noncommutative geometry slavic languages automorphic forms universal algebra clifford algebras geometric group theory operator theory unipotent representations irreducible representations dirac operator modern algebra algebraic combinatorics frattini subgroup affine hecke algebras spherical unitary dual function spaces coxeter group schubert calculus projective geometry dirac cohomology complex groups nilpotent orbits combinatorial theory commutative algebra modular forms quantum algebra fourier analysis character formula primitive ideals fourier inversion unitary spherical spectrum orbital integrals dirac series hecke algebra dirac index star operations linguistics digestive endoscopy gastrointestinal endoscopy numerical algorithms numerical mathematics rational mechanic ring theory supermanifold character recognition indexing technique group structure algebraic structures real algebraic geometry abstract algebra geometric quantization integral transforms fourier expansion harmonic space complex geometry reductive lie groups

Notable Scholarly Works

Notable Federal Grants

Collaborators

Special Unipotent Representations of Real Classical Groups: Counting and Reduction. Journal of the European Mathematical Society (2025)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

group representationlie theoryspecial unipotent representationsgroup theorymathematical sciencesirreducible representationsslavic languagesreal classical groupsmathematicsnilpotent groupsrepresentation theory

Admissible Modules and Normality of Classical Nilpotent Orbits. Progress in mathematics (2024)

Dan BarbaschKayue Daniel Wong

symplectic geometrylie theoryadmissible modulesalgebraic geometrymathematical sciencesmathematicsnilpotent groupsgeometric topologyrepresentation theory

Genuine Special Unipotent Representations of Spin Groups. Progress in mathematics (2024)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

group representationspin groupsmathematical sciencesclifford algebrasrepresentation theory

Special Unipotent Representations of Simple Linear Lie Groups of Type A. Acta Mathematica Sinica English Series (2024)

Dan BarbaschJia Jun MaBin Yong SunChen Bo Zhu

lie theorygroup representationspecial unipotent representationsoperator algebraslie groupgroup theorytype alie algebranilpotent groupsrepresentation theory

On the Notion of Metaplectic Barbasch–Vogan Duality. International Mathematics Research Notices (2023)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

symplectic geometrylie theorygroup representationoperator algebraslie groupalgebralie algebramathematical sciencesduality notionmathematicsnilpotent groupsduality maprepresentation theory

Dirac Series for Complex Classical Lie Groups: A Multiplicity-One Theorem. Advances in Mathematics (2022)

Dan BarbaschChao-Ping DongKayue Daniel Wong

lie theoryoperator algebraslie groupcomplex analysisspectral theorymathematical sciencesdirac seriesmathematicsdirac operatoroperator theoryrepresentation theory

Dirac Series for Complex Classical Lie Groups. arXiv (Cornell University) (2020)

Dan BarbaschChao-Ping DongKayue Daniel Wong

lie theoryoperator algebrasmultiplicity onelie groupnon-zero dirac cohomologygroup theorylie algebradirac seriesdirac operatorrepresentation theory

An Euler-Poincaré Formula for a Depth Zero Bernstein Projector. Representation Theory of the American Mathematical Society (2019)

Dan BarbaschDan CiubotaruAllen Moy

combinatorial theorybernstein projectorsuniversal algebradepth zeror–depth bernstein projectoralgebraic geometrymathematical sciencesapplied mathematicsmathematicsalgebraic combinatoricsrepresentation theory

Peter–Weyl Iwahori Algebras. Canadian Journal of Mathematics (2019)

Dan BarbaschAllen Moy

group representationmodern algebraalgebrapeter–weyl iwahori algebrasirreducible representationsmathematicsconvolution algebrarepresentation theory

Twisted Dirac Index and Applications to Characters. Springer INdAM series (2019)

Dan BarbaschPavle Pandžić

dirac indexnoncommutative geometryoperator algebrasindexing techniquemathematical sciencesdirac operatorrepresentation theory

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Dan Mihai Barbasch

Professor

Cornell University

Affiliations

Continuing Education and Summer Sessions

College of Arts and Sciences

Department of Mathematics

Dan Mihai Barbasch is currently serving as a Continuing Education And Summer Sessions Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Dan Mihai Barbasch

Cornell University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Special Unipotent Representations of Real Classical Groups: Counting and Reduction. Journal of the European Mathematical Society (2025)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

Admissible Modules and Normality of Classical Nilpotent Orbits. Progress in mathematics (2024)

Dan BarbaschKayue Daniel Wong

symplectic geometrylie theoryadmissible modulesalgebraic geometrymathematical sciencesmathematicsnilpotent groupsgeometric topologyrepresentation theory

Genuine Special Unipotent Representations of Spin Groups. Progress in mathematics (2024)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

group representationspin groupsmathematical sciencesclifford algebrasrepresentation theory

Special Unipotent Representations of Simple Linear Lie Groups of Type A. Acta Mathematica Sinica English Series (2024)

Dan BarbaschJia Jun MaBin Yong SunChen Bo Zhu

lie theorygroup representationspecial unipotent representationsoperator algebraslie groupgroup theorytype alie algebranilpotent groupsrepresentation theory

On the Notion of Metaplectic Barbasch–Vogan Duality. International Mathematics Research Notices (2023)

Dan BarbaschJia-Jun MaBinyong SunChen-Bo Zhu

symplectic geometrylie theorygroup representationoperator algebraslie groupalgebralie algebramathematical sciencesduality notionmathematicsnilpotent groupsduality maprepresentation theory

Dirac Series for Complex Classical Lie Groups: A Multiplicity-One Theorem. Advances in Mathematics (2022)

Dan BarbaschChao-Ping DongKayue Daniel Wong

lie theoryoperator algebraslie groupcomplex analysisspectral theorymathematical sciencesdirac seriesmathematicsdirac operatoroperator theoryrepresentation theory

Dirac Series for Complex Classical Lie Groups. arXiv (Cornell University) (2020)

Dan BarbaschChao-Ping DongKayue Daniel Wong

lie theoryoperator algebrasmultiplicity onelie groupnon-zero dirac cohomologygroup theorylie algebradirac seriesdirac operatorrepresentation theory

An Euler-Poincaré Formula for a Depth Zero Bernstein Projector. Representation Theory of the American Mathematical Society (2019)

Dan BarbaschDan CiubotaruAllen Moy

Peter–Weyl Iwahori Algebras. Canadian Journal of Mathematics (2019)

Dan BarbaschAllen Moy

group representationmodern algebraalgebrapeter–weyl iwahori algebrasirreducible representationsmathematicsconvolution algebrarepresentation theory

Twisted Dirac Index and Applications to Characters. Springer INdAM series (2019)

Dan BarbaschPavle Pandžić

dirac indexnoncommutative geometryoperator algebrasindexing techniquemathematical sciencesdirac operatorrepresentation theory

1
2
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4
5
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10 / page

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