Ian Thompson

E-mail: ian "at" math.ku.dk
Office: HCØ 04.2.09

I am an NSERC Postdoctoral Fellow at the University of Copenhagen who is studying operator algebras and operator theory with Søren Eilers and Magdalena Musat. In this role, I am helping organize the Groups and Operator Algebras Seminar.

In 2024, I completed my Ph.D. at the University of Manitoba under the supervision of Raphaël Clouâtre. My past work has focused on interactions between operator systems and their C*-algebras, as well as noncommutative interpretations to Choquet theory.

Publications

(with Alexandru Chirvasitu) Local presentability and monadicity of forgetful functors for operator algebraic categories.
Submitted for publication, arXiv.
(with Adam Humeniuk and Christopher Ramsey) Couniversality for C*-algebras of residually finite-dimensional operator algebras.
Submitted for publication, arXiv.
(with Adam Dor-On) The Hao-Ng isomorphism theorem for reduced crossed products.
Submitted for publication, arXiv.
(with Raphaël Clouâtre) Rigidity of operator systems: tight extensions and noncommutative measurable structures.
Submitted for publication, arXiv.
(with Jashan Bal, Fern Haraldson, and Joshua Males) Jensen polynomials associated with Wright's circle method: hyperbolicity and Turán inequalities.
Integers 25 (2025), no. 36, arXiv, DOI.
An approximate unique extension property for completely positive maps.
J. Funct. Anal. 286 (2024), no. 1, 110193 arXiv, DOI.
(with Idrissa Ba and Adam Clay) The number of locally invariant orderings of a group.
J. Group Theory 26 (2023), no. 5, 1003-1021 arXiv, DOI.
(with Raphaël Clouâtre) Minimal boundaries for operator algebras.
Trans. Amer. Math. Soc. B 10 (2023), no. 24, 807-832 arXiv, DOI.
Maximal C*-covers and residual finite-dimensionality.
J. Math. Anal. Appl. 514 (2022), no. 1, 126277, arXiv, DOI.
(with Raphaël Clouâtre) Finite-dimensionality in the non-commutative Choquet boundary: peaking phenomena and C*-liminality.
Int. Math. Res. Not. IMRN (2022), no. 20, 16046-16093, arXiv, DOI.

Teaching

During Block 1, I will be teaching Topics in Operator Algebras: Stability and Lifting in Operator Algebras, with Søren Eilers.

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