Colleen Delaney

Mathematics · Purdue University West Lafayette

Established · publishing since 1978

Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology Quantum many-body systems Advanced Algebra and Logic Black Holes and Theoretical Physics

Publications

Citations

167

Est. group size

—

Recurring co-author estimate

Active years

Publishing since 1978

Research summary

AI-generated

Colleen Delaney works in mathematical physics and algebra, studying structures called modular tensor categories and related algebraic tools that describe how particles can carry 'topological' quantum information. This research connects abstract algebra and topology to potential applications in topological quantum computing, a proposed approach to building quantum computers that is more resistant to errors.

Modular tensor categories and fusion rulesTopological quantum computingBraid group representationsSymmetry defects and topological orderKnot and link invariants

Publication output peaked around 2018 with several papers and has been sparse and irregular since, averaging less than one publication per year over the last five years.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence

Publications per year over the last 10 years — averaging 0.6/year recently

Recent publications

Rado matroids and a graphical calculus for boundaries of Wilson loop diagrams
arXiv (Cornell University) · 2024
Symmetry defects and their application to topological quantum computing
Contemporary mathematics - American Mathematical Society · 2020
Fusion rules for permutation extensions of modular tensor categories
arXiv (Cornell University) · 2019
A categorical perspective on symmetry, topological order, and quantum information
eScholarship (California Digital Library) · 2019
On invariants of modular categories beyond modular data
Journal of Pure and Applied Algebra · 2018
On invariants of Modular categories beyond modular data
arXiv (Cornell University) · 2018
A systematic search of knot and link invariants beyond modular data
arXiv (Cornell University) · 2018
Symmetry defects and their application to topological quantum computing
arXiv (Cornell University) · 2018
Local unitary representations of the braid group and their applications to quantum computing
Revista Colombiana de Matemáticas · 2017
Local unitary representations of the braid group and their applications to quantum computing
Repositorio Institucional UN - Biblioteca Digital · 2016

Publishes in

arXiv (Cornell University)×7
Journal of Pure and Applied Algebra×1
Revista Colombiana de Matemáticas×1
Repositorio Institucional UN - Biblioteca Digital×1
Contemporary mathematics - American Mathematical Society×1

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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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