Akshara Prasad, maths, Göttingen

About Me

Hi! I am a final year PhD student studying C*-algebras under the supervison of Prof. Ralf Meyer at the University of Göttingen, Germany.

My research revolves around type semigroups which are dynamical analogues of Cuntz semigroups which are crucial to the classification of C*-algebras. My construction of type semigroups helps extract information about pure infiniteness and stable finiteness of twisted groupoid C*-algebras. I use this to get dichotomy results about important classes of C*-algebras.

Dynamical systems provide a rich class of examples of C*-algebras. Many results about C*-algebras are extended from results in dynamics. So naturally, I also apply the theory of type semigroups to dynamical systems: for example, to study dynamical comparison.

You can contact me at a.prasad [at] uni-goettingen.de.

Publications

Preprints

Type semigroups for twisted groupoids and a dichotomy for groupoid C*-algebras (with Bartosz Kwaśniewski and Ralf Meyer)
(2025) [arXiv]

Publications

Magic sigma coloring of a graph (with Narahari Narasimha Swamy and Badekara Sooryanarayana)
Comput. Sci. J. Moldova (29) (2021), no. 2, 257--270. [Link to Journal]

Events

Selected conferences, workshops, and other academic events I have attended or will be attending.

Upcoming events

Research visit: Universidade Federal de Santa Catarina (UFSC), Florianópolis, Brazil, March – April 2026.

Past events

Invited talk, Noncommutative geometry & topology seminar, Czech Academy of Sciences, Prague, December 2025.
Talk: Dynamical comparison and type semigroups [Youtube].
Invited talk, Operator algebras seminar, Chalmers University of Technology, Sweden, October 2025.
Talk: Type semigroups and dynamical comparison.
Mini-course on Topological phenomena in the Cuntz semigroup, Oxford, UK, September 2025.
Talk: Type semigroups and a dichotomy for twisted groupoid C*-algebras [Slides].
Summer school on Structure and approximation of C*-algebras, Santander, Spain, July 2025.
Conference on Structure of dynamical C*-algebras, Jaca, Spain, June 2025.
Talk: Type semigroups and a dichotomy for groupoid C*-algebras.
Invited talk, South Atlantic noncommutative geometry seminar, Online, April 2025.
Talk: Type semigroups and a dichotomy for groupoid C*-algebras [Youtube: Part 1 Part 2].
Invited talk, Faculty seminar, University of Bialystok, Poland, October 2024.
Talk: A Banach-Tarski paradox for C*-algebras?
Conference on Noncommutativity in the North – MikaelFest, Gothenburg, Sweden, June 2024.
Workshop on Ideal structure of C*-algebras from dynamics and groups, Erlangen, Germany, April 2024.
Conference on Young mathematicians in C*-algebras (YMC*A), Leuven, Belgium, August 2023.
Meeting of the North British semigroups and applications network, Manchester, UK, April 2023.
Conference on Young mathematicians in C*-algebras (YMC*A), Oslo, Norway, August 2022.

Research visits

Czech Academy of Sciences, Czechia. Host: Aaron Kettner, December 2025 (1 week).
Chalmers University of Technology, Sweden. Host: Prof. Hannes Thiel, October 2025 (1 week).
University of Bialystok, Poland. Host: Prof. Bartosz Kwaśniewski, September – October 2024 (1 month).
University of Glasgow, UK (semester abroad to work on master's thesis). Host: Prof. Xin Li, March – July 2023 (5 months).

Curriculum Vitae

Education

PhD in Mathematics, University of Göttingen, Germany.
December 2023 – December 2026, expected.
Thesis: Type semigroups for twisted groupoid C*-algebras.
Advisor: Prof. Ralf Meyer.

M.Sc. in Mathematics, University of Münster, Germany.
October 2021 – September 2025.
Thesis: C*-diagonals in Kirchberg algebras.
Advisors: Prof. David Kerr and Prof. Xin Li.

Teaching

Co-organiser of PhD seminar,
October 2024 – present, University of Göttingen.

Tutor for Noncommutative geometry II: C*-algebras,
summer semester 2024, University of Göttingen.

Organisation

Student speaker for Research Training Group 2491: Fourier analysis and spectral theory,
October 2024 – October 2025, University of Göttingen.

Seminars

Notes from some talks I gave in local seminars.

Talk: Serre–Swan theorem [Notes].
Seminar on K-theory and L-theory, University of Göttingen, November 2024.
Talk: The Cuntz semigroup [Notes].
PhD Seminar, University of Göttingen, October 2024.
Talk: Group von Neumann-algebras [Notes].
Seminar on Connes embedding problem , Hiddensee, University of Greifswald, September 2024.
Talk: Residually finite dimensional C*-algebras [Notes].
Seminar on Tensor products and Kirchberg's conjectures , University of Münster, May 2023.
Talk: Cartan inclusions vs groupoid properties [Notes].
Seminar on Cartan subalgebras , University of Münster, November 2022.
Talk: An overview of functional analysis [Notes].
Seminar on Vector bundles and K-theory , University of Münster, May 2022.
Talk: Amenable groups [Notes].
Seminar on Sofic groups , University of Münster, May 2022.
Talk: Residually finite groups [Notes].
Seminar on Sofic groups , University of Münster, April 2022.