Faculty

Institution

Unit

Venue

Aaron Lauda

Professor of Mathematics Professor

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Aaron Lauda is currently serving as a College Of Letters, Arts And Sciences Professor of Mathematics Professor at University of Southern California.

Honors

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Experiences

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Education

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Aaron Lauda

University of Southern California

Professor of Mathematics Professor

You can click a keyword to filter the displayed items

mathematics representation theory mathematical sciences geometric topology topology applied mathematics category theory theoretical physics physics quantum science algebra quantum algebra quantum groups topological invariants group theory quantum information science quantum theory higher category theory graph theory spectral theory knot theory higher representation theory modern physics constructive field theory khovanov homology particle physics group representation topological quantum state frobenius algebras trace decategorification materials science high energy physics string theory analytic number theory algebraic combinatorics nilpotent groups abstract algebra hierarchical classification quantum algorithms supermanifold odd categorification colored homflypt function rational mechanic human relations information visualization image representation combinatorial theory insect science graph analysis cluster algebras topological algebra hopf algebra frattini subgroup group structure automatic classification classification method object categorization intelligent classification algebraic analysis schubert calculus partially ordered set fundamental physics philosophy of physics higher-dimensional algebra v two-dimensional extended tqfts open-closed strings implicit structure extended graphical calculus ambidextrous adjunctions diagrammatic algebra state sum construction equivariant cohomology iterated flag varieties noncommutative geometry geometric quantization

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Quantum Algorithm for Khovanov Homology. arXiv (Cornell University) (2025)

applied mathematicsmathematicsquantum computinghomological algebrageometric topologyquantum algorithmsquantum information sciencequantum sciencequantum mechanics

Density and Unitarity of the Burau Representation From a Non-Semisimple Tqft. Canadian Journal of Mathematics (2025)

theoretical physicsmathematical physicsoperator algebrasapplied mathematicsoperator theoryconstructive field theoryquantum field theorynon-semisimple tqftquantum algebraburau representationmathematicsrepresentation theoryspectral theory

Spectral 2-Actions, Foams, and Frames in the Spectrification of Khovanov Arc Algebras. Transactions of the American Mathematical Society (2025)

spectral 2-actionsoperator algebrasapplied mathematicsmathematicskhovanov arc algebrasalgebraic topologygeometric topologyalgebraic analysisalgebrarepresentation theorysupermanifoldspectral theorymathematical sciences

Universal Quantum Computation Using Ising Anyons From a Non-Semisimple Topological Quantum Field Theory. Nature Communications (2025)

theoretical physicsmathematicstopological quantum statequantum field theoryquantum computingquantum algorithmsphysicsquantum information sciencequantum sciencequantum mechanics

Categorification of the Internal Braid Group Action for Quantum Groups, I: 2-Functoriality. Pacific Journal of Mathematics (2024)

Michael T. AbramLaffite Lamberto-EganAaron D. LaudaDavid E. V. Rose

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

Nathan GeerAaron LaudaBertrand Patureau-MirandJoshua Sussan

topological invariantstqft constructiontopologybraid groupquantum field theoryquantum groupsgeometric topologyquantum algebraburau representationmathematicsrepresentation theoryquantum sciencequantum theory

From Hypertoric Geometry to Bordered Floer Homology via the $$M=1$$ Amplituhedron. Selecta Mathematica (2024)

Aaron D. LaudaAnthony M. LicataAndrew Manion

topologyhypertoric geometrymathematics

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

theoretical physicstopological invariantshermitian tqftstopologyconstructive field theoryquantum field theoryquantum groupslevin–wen modelsalgebraic topologygeometric topologyquantum algebramathematicsrepresentation theorynoncommutative geometryquantum superalgebrasquantum mechanics

Super Rewriting Theory and Nondegeneracy of Odd Categorified $\Mathfrak{Sl}_{2}$. Quantum Topology (2024)

Benjamin DupontMark EbertAaron D. Lauda

quantum entanglementgraph theorymathematics

Strands Algebras and the Affine Highest Weight Property for Equivariant Hypertoric Categories. Advances in Mathematics (2023)

Aaron D. LaudaAnthony M. LicataAndrew Manion

strands algebrascategory theoryequivariant hypertoric categories

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Aaron Lauda

Professor of Mathematics Professor

University of Southern California

Affiliations

College of Letters, Arts and Sciences

Natural Sciences

Mathematics

Aaron Lauda is currently serving as a College Of Letters, Arts And Sciences Professor of Mathematics Professor at University of Southern California.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Aaron Lauda

University of Southern California

Professor of Mathematics Professor

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Quantum Algorithm for Khovanov Homology. arXiv (Cornell University) (2025)

applied mathematicsmathematicsquantum computinghomological algebrageometric topologyquantum algorithmsquantum information sciencequantum sciencequantum mechanics

Density and Unitarity of the Burau Representation From a Non-Semisimple Tqft. Canadian Journal of Mathematics (2025)

Spectral 2-Actions, Foams, and Frames in the Spectrification of Khovanov Arc Algebras. Transactions of the American Mathematical Society (2025)

Universal Quantum Computation Using Ising Anyons From a Non-Semisimple Topological Quantum Field Theory. Nature Communications (2025)

theoretical physicsmathematicstopological quantum statequantum field theoryquantum computingquantum algorithmsphysicsquantum information sciencequantum sciencequantum mechanics

Categorification of the Internal Braid Group Action for Quantum Groups, I: 2-Functoriality. Pacific Journal of Mathematics (2024)

Michael T. AbramLaffite Lamberto-EganAaron D. LaudaDavid E. V. Rose

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

Nathan GeerAaron LaudaBertrand Patureau-MirandJoshua Sussan

From Hypertoric Geometry to Bordered Floer Homology via the $$M=1$$ Amplituhedron. Selecta Mathematica (2024)

Aaron D. LaudaAnthony M. LicataAndrew Manion

topologyhypertoric geometrymathematics

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

Super Rewriting Theory and Nondegeneracy of Odd Categorified $\Mathfrak{Sl}_{2}$. Quantum Topology (2024)

Benjamin DupontMark EbertAaron D. Lauda

quantum entanglementgraph theorymathematics

Strands Algebras and the Affine Highest Weight Property for Equivariant Hypertoric Categories. Advances in Mathematics (2023)

Aaron D. LaudaAnthony M. LicataAndrew Manion

strands algebrascategory theoryequivariant hypertoric categories

1
2
3
4
5
9
10 / page

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Similar Faculty Members

Rinat Kedem

Institution

University of Illinois Urbana-Champaign

algebra

mathematics

Cris Negron

Institution

University of Southern California

algebra

mathematical physics

Mr Marcelo Aguiar

Institution

Cornell University

function space

hopf algebra

Alexander Polishchuk

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University of Oregon

applied mathematics

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Feng Xu

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University of California, Riverside

mathematical physics

algebra

Alexandru Chirvasitu

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University at Buffalo

operator algebra

quantum group

George M. Bergman

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University of California, Berkeley

category theory

logic in computer science

Brett Wick

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Washington University in St. Louis

function space

spectral theory

Yuri Berest

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Cornell University

topology

low-dimensional topology

Kiyoshi Igusa

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Brandeis University

mathematics

applied mathematics