Faculty

Institution

Unit

Venue

Nathan C Geer

Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Nathan C Geer is currently serving as a College Of Science Professor at Utah State University.

Honors

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Experiences

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Education

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Nathan C Geer

Utah State University

Professor

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mathematics representation theory geometric topology mathematical sciences quantum algebra quantum groups algebraic topology theoretical physics quantum field theory topological invariants algebra lie theory lie algebra category theory algebraic geometry applied mathematics quantum science homological algebra higher category theory knot theory constructive field theory physics spectral theory quantum invariants group representation mathematical physics high energy physics hopf algebra universal algebra geometric quantization categorical model conformal field theory schubert calculus lie group quantum theory link invariants lie superalgebras projective representations multivariable link invariants quantum sl quantum dimensions combinatorial theory supermanifold gauge field theory algebraic graph theory pivotal categories 3-dimensional tqfts hennings invariants multivariable link invariant quantized lie superalgebras computer science function spaces documentation quantum chemistry gauge theory exotic state non-perturbative qcd quantum chromodynamics algebraic combinatorics topological combinatorics algebraic analysis integral geometry mathematical models topological quantum state topological phases ring theory extended levin-wen models dyon species levin-wen model modified quantum dimensions

Notable Scholarly Works

Notable Federal Grants

Collaborators

Skein (3+1)-Tqfts From Non-Semisimple Ribbon Categories. Symmetry Integrability and Geometry Methods and Applications (2026)

Francesco CostantinoNathan GeerBenjamin HaïounBertrand Patureau-Mirand

geometric topologyadmissible skein modulestheoretical physicstopologymathematicsknot theoryribbon graphkauffman tqftsalgebraic topologyapplied mathematicstopological invariants

B-Twisted Gaiotto–Witten Theory and Topological Quantum Field Theory. Communications in Mathematical Physics (2025)

Niklas GarnerNathan GeerMatthew B. Young

b-twisted gaiotto–witten theoryquantum field theoryphysicstheoretical physicstopologytwistor theorytopological invariants

A Qft for Non-Semisimple Tqft. Advances in Theoretical and Mathematical Physics (2024)

Thomas CreutzigTudor DimofteNiklas GarnerNathan Geer

quantum field theorynon-semisimple tqftconstructive field theorytheoretical physicsmathematicsspectral theory

Density and Unitarity of the Burau Representation From a Non-Semisimple Tqft. arXiv (Cornell University) (2024)

Nathan GeerAaron LaudaBertrand Patureau-MirandJoshua Sussan

geometric topologyquantum field theoryquantum groupstopologyrepresentation theorytqft constructionmathematicsquantum theoryquantum algebraquantum sciencebraid groupburau representationtopological invariants

Non‐Semisimple Levin–Wen Models and Hermitian Tqfts From Quantum (Super)Groups. Journal of the London Mathematical Society (2024)

Nathan GeerAaron D. LaudaBertrand Patureau‐MirandJoshua Sussan

geometric topologynoncommutative geometryquantum mechanicsquantum field theoryquantum groupsquantum superalgebrastopologytheoretical physicsrepresentation theoryconstructive field theorymathematicshermitian tqftsquantum algebralevin–wen modelsalgebraic topologytopological invariants

Quantum Invariants Arising From $U_H\Mathfrak{Sl}(2|1)$ Are Q-Holonomic. arXiv (Cornell University) (2024)

Jennifer BrownNathan Geer

quantum invariantsquantum field theoryquantum groupstheoretical physicsunderlying field theoryrepresentation theorylie groupmathematicstypical representationsquantum algebragroup theorymathematical sciences

Some Remarks on Relative Modular Categories. Journal of Pure and Applied Algebra (2024)

Nathan GeerBertrand Patureau-MirandMatthew Rupert

geometric topologyhomological algebrarelative modular categoriespure mathematicscategory theoryhigher category theorymathematicsuniversal algebracategorical modelmathematical sciences

Three Dimensional Topological Quantum Field Theory From U Q ( Gl ( 1 | 1 ) )</MML:…. Advances in Mathematics (2024)

Nathan GeerMatthew B. Young

geometric topologymi mathvariant=topological phasesquantum mechanicsquantum field theorymath xmlnsmo stretchy=physicsquantum materialstopologymathematical physicstheoretical physicsmathematicshigh energy physicstopological quantum statequantum scienceapplied physicstopological invariants

Admissible Skein Modules. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Francesco CostantinoNathan GeerBertrand Patureau-Mirand

ring theoryhomological algebraalgebraic geometryadmissible skein modulesrepresentation theorymathematicscommutative algebrauniversal algebramathematical sciences

Chromatic Maps for Finite Tensor Categories. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Francesco CostantinoNathan GeerBertrand Patureau-MirandAlexis Virelizier

homological algebracombinatorial theorycategory theoryrepresentation theoryhigher category theorymathematicsalgebraic topologychromatic mapsmathematical sciences

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Nathan C Geer

Professor

Utah State University

Affiliations

College of Science

Department of Mathematics and Statistics

Nathan C Geer is currently serving as a College Of Science Professor at Utah State 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

Nathan C Geer

Utah State University

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Skein (3+1)-Tqfts From Non-Semisimple Ribbon Categories. Symmetry Integrability and Geometry Methods and Applications (2026)

Francesco CostantinoNathan GeerBenjamin HaïounBertrand Patureau-Mirand

geometric topologyadmissible skein modulestheoretical physicstopologymathematicsknot theoryribbon graphkauffman tqftsalgebraic topologyapplied mathematicstopological invariants

B-Twisted Gaiotto–Witten Theory and Topological Quantum Field Theory. Communications in Mathematical Physics (2025)

Niklas GarnerNathan GeerMatthew B. Young

b-twisted gaiotto–witten theoryquantum field theoryphysicstheoretical physicstopologytwistor theorytopological invariants

A Qft for Non-Semisimple Tqft. Advances in Theoretical and Mathematical Physics (2024)

Thomas CreutzigTudor DimofteNiklas GarnerNathan Geer

quantum field theorynon-semisimple tqftconstructive field theorytheoretical physicsmathematicsspectral theory

Density and Unitarity of the Burau Representation From a Non-Semisimple Tqft. arXiv (Cornell University) (2024)

Nathan GeerAaron LaudaBertrand Patureau-MirandJoshua Sussan

Non‐Semisimple Levin–Wen Models and Hermitian Tqfts From Quantum (Super)Groups. Journal of the London Mathematical Society (2024)

Nathan GeerAaron D. LaudaBertrand Patureau‐MirandJoshua Sussan

Quantum Invariants Arising From $U_H\Mathfrak{Sl}(2|1)$ Are Q-Holonomic. arXiv (Cornell University) (2024)

Jennifer BrownNathan Geer

Some Remarks on Relative Modular Categories. Journal of Pure and Applied Algebra (2024)

Nathan GeerBertrand Patureau-MirandMatthew Rupert

geometric topologyhomological algebrarelative modular categoriespure mathematicscategory theoryhigher category theorymathematicsuniversal algebracategorical modelmathematical sciences

Three Dimensional Topological Quantum Field Theory From U Q ( Gl ( 1 | 1 ) )</MML:…. Advances in Mathematics (2024)

Nathan GeerMatthew B. Young

Admissible Skein Modules. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Francesco CostantinoNathan GeerBertrand Patureau-Mirand

ring theoryhomological algebraalgebraic geometryadmissible skein modulesrepresentation theorymathematicscommutative algebrauniversal algebramathematical sciences

Chromatic Maps for Finite Tensor Categories. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Francesco CostantinoNathan GeerBertrand Patureau-MirandAlexis Virelizier

homological algebracombinatorial theorycategory theoryrepresentation theoryhigher category theorymathematicsalgebraic topologychromatic mapsmathematical sciences

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7
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Yuri Berest

Institution

Cornell University

topology

low-dimensional topology

Matthew Bruce Young

Institution

Utah State University

quantum algebra

quantum group

Arkady Berenstein

Institution

University of Oregon

algebra

schubert calculus

Rinat Kedem

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University of Illinois Urbana-Champaign

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mathematical physics

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Alexandru Chirvasitu

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University at Buffalo

operator algebra

quantum group

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geometric representation

representation theory

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David Pengelley

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philosophy of mathematics