Thomas Sinclair
Mathematics · Purdue University West Lafayette
Publications
58
Citations
269
Est. group size
—
Recurring co-author estimate
Active years
45
Publishing since 1982
Thomas Sinclair works in operator algebras, a branch of mathematics that studies structures built from linear transformations (operators) on abstract spaces, often connecting to functional analysis, logic, and probability theory. Recent work explores topics like operator systems, C*-algebras, model theory (a branch of logic applied to algebraic structures), and free probability, often examining how these mathematical objects can be classified, approximated, or measured in size and complexity. This research is highly theoretical and abstract, aimed at establishing foundational results about the structure of these mathematical objects.
Publication output has been fairly steady over the past decade with some year-to-year variation, showing a notable increase in output during 2025 and 2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- An operator-theory construction on geometric lattices
arXiv (Cornell University) · 2026
- An operator-theory construction on geometric lattices
arXiv (Cornell University) · 2026
- Finite free convolution via reproducing kernels and squarefree algebras
arXiv (Cornell University) · 2026
- Finite free convolution via reproducing kernels and squarefree algebras
arXiv (Cornell University) · 2026
- Approximate factorization properties for operator systems
arXiv (Cornell University) · 2026
- Approximate factorization properties for operator systems
arXiv (Cornell University) · 2026
- On definability of C*-tensor norms
arXiv (Cornell University) · 2025
- Totally Bounded Elements in W*-probability Spaces
arXiv (Cornell University) · 2025
- A short proof of the existence of the injective envelope of an operator space
arXiv (Cornell University) · 2025
- The model theory of metric lattices: pseudofinite partition lattices
arXiv (Cornell University) · 2025
- A short proof of the existence of the injective envelope of an operator space
Proceedings of the American Mathematical Society · 2025
- An index for inclusions of operator systems
Journal of Operator Theory · 2024
- Approximating projections by quantum operations
Linear Algebra and its Applications · 2023
- Model theory of operator systems and C∗-algebras
2023
- Lipschitz geometry of operator spaces and Lipschitz-free operator spaces
Mathematische Annalen · 2022
- arXiv (Cornell University)×21
- Proceedings of the American Mathematical Society×2
- Geometric and Functional Analysis×1
- International Mathematics Research Notices×1
- Mathematische Annalen×1
- Andrew S. Toms
Mathematics · Purdue University West Lafayette
- Marius Dădărlat
Mathematics · Purdue University West Lafayette
- Bogdan Nica
Mathematics · Indiana University
- Lawrence G. Brown
Mathematics · Purdue University West Lafayette
- Chian Yeong Chuah
Mathematics · The Ohio State University
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.
Claim or correct this profile