David Penneys
Mathematics · The Ohio State University
Publications
96
Citations
617
Est. group size
~3
Recurring co-author estimate
Active years
18
Publishing since 2009
David Penneys works in mathematics at the intersection of operator algebras, category theory, and mathematical physics. His research focuses on classifying and understanding structures such as subfactors, fusion categories, and planar algebras, which are abstract algebraic frameworks used to study symmetry and topological order in quantum systems. This work connects pure mathematics to topics relevant to topological quantum computing and condensed matter physics, such as anyons and topological phases of matter.
Publication output has grown over the last decade, rising from a handful of papers per year around 2017-2019 to a notably higher and more variable pace since 2020, with peaks in 2023 and 2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Rigidity of non-negligible objects of moderate growth in braided categories
Forum of Mathematics Pi · 2026
- Classification of Finite Depth Objects in Bicommutant Categories via Anchored Planar Algebras
Communications in Mathematical Physics · 2026
- Local topological order, Haag duality, and reflection positivity
arXiv (Cornell University) · 2026
- Local topological order, Haag duality, and reflection positivity
arXiv (Cornell University) · 2026
- The many faces of higher Hilbert spaces
arXiv (Cornell University) · 2026
- The many faces of higher Hilbert spaces
arXiv (Cornell University) · 2026
- Local topological order and boundary algebras
Forum of Mathematics Sigma · 2025
- Distortion for multifactor bimodules and representations of multifusion categories
Documenta Mathematica · 2025
- Holography for bulk-boundary local topological order
arXiv (Cornell University) · 2025
- Unitary Anchored Planar Algebras
Communications in Mathematical Physics · 2024
- Classification of $\mathbb{Z}/2\mathbb{Z}$-quadratic unitary fusion categories (with an appendix by Ryan Johnson, Siu-Hung Ng, David Penneys, Jolie Roat, Matthew Titsworth, and Henry Tucker)
Quantum Topology · 2024
- Dagger $n$-categories
arXiv (Cornell University) · 2024
- Unitary braided-enriched monoidal categories
Quantum Topology · 2024
- Complete W*-categories
arXiv (Cornell University) · 2024
- Composing topological domain walls and anyon mobility
SciPost Physics · 2023
- arXiv (Cornell University)×33
- Communications in Mathematical Physics×4
- Documenta Mathematica×2
- International Mathematics Research Notices×2
- Journal of Functional Analysis×2
- Noah Snyder
Mathematics · Indiana University
- Alexander Tsymbaliuk
Mathematics · Purdue University West Lafayette
- Ralph M. Kaufmann
Mathematics · Purdue University West Lafayette
- Julia Plavnik
Mathematics · Indiana University
- Colleen Delaney
Mathematics · Purdue University West Lafayette
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 19, 2026.
Claim or correct this profile