Research

• 34. (with Kevin Aguyar Brix, Chris Bruce and Eduardo Scarparo) Maximal ideals of reduced group C*-algebras and Thompson's groups, arXiv:2403.13645, (2024), Submitted

• 33. (with Jiawen Zhang) Tracial states on groupoid C*-algebras and essential freeness, arXiv:2401.15546, (2024), to appear in Journal of Noncommutative Geometry

• 32. (with Xin Ma) Nonfree almost finite actions for locally finite-by-virtually Z groups, arXiv:2311.00649, J. Lond. Math. Soc. (2) 110 (2024), no. 1, Paper No. e12959

• 31. (with Christian Bönicke) Nuclear dimension of subhomogeneous twisted groupoid C*-algebras and dynamic asymptotic dimension, arXiv:2309.17178, Int. Math. Res. Not. IMRN (2024), no. 16, 11597–11610

• 30. (with Hung-Chang Liao and Wilhelm Winter) The diagonal dimension of sub-C*-algebras, arXiv:2303.16762, (2023), Submitted

• 29. (with Eduardo Scarparo) C*-irreducibility of commensurated subgroups, arXiv:2210.00827, Pacific J. Math. 322 (2023), no. 2, 369–380

• 28. (with Xuanlong Fu and Huaxin Lin) Tracial approximate divisibility and stable rank one, arXiv:2108.08970, J. Lond. Math. Soc. (2) 106 (2022), no. 4, 3008–3042

• 27. (with Jorge Castillejos and Gabor Szabo) On tracial Z-stability of simple non-unital C*-algebras, arXiv:2108.08742, (2021), to appear in Canadian Journal of Mathematics

• 26. (with Ján Špakula and Jiawen Zhang) Measured expanders, arXiv:2104.06052, J. Topol. Anal. 16 (2024), no. 6, 917–944

• 25. (with Ján Špakula and Jiawen Zhang) Measured asymptotic expanders and rigidity for Roe algebras, arXiv:2010.10749, Int. Math. Res. Not. IMRN (2023), no. 17, 15102–15154

• 24. (with Federico Vigolo and Jiawen Zhang) A Markovian and Roe-algebraic approach to asymptotic expansion in measure, arXiv:2008.12572, Banach Journal of Mathematical Analysis, 17, no. 74, 2023 

• 23. (with Massoud Amini, Damian Sawicki and Ali Shakibazadeh) Dynamic asymptotic dimension for actions of virtually cyclic groups, arXiv:2007.00960, Proceedings of the Edinburgh Mathematical Society 64 (2), 364–372 (2021)

• 22. (with Piotr Nowak and Sanaz Pooya) Higher Kazhdan projections, l2-Betti numbers and Baum-Connes conjectures, arXiv:2006.09317, J. Noncommut. Geom. 18 (2024), no. 1, 313–336

• 21. (with Federico Vigolo and Jiawen Zhang) Asymptotic expansion in measure and strong ergodicity, arXiv:2005.05697, J. Topol. Anal. 15 (2023), no. 2, 361–399

• 20. (with Bartosz K. Kwaśniewski and Adam Skalski) The Haagerup property for twisted groupoid dynamical systems, arXiv:2004.06317, Journal of Functional Analysis 283 (2022) 109484

• 19. (with Pere Ara, Christian Bönicke and Joan Bosa) Strict comparison for C*-algebras arising from almost finite groupoids, arXiv:2002.12221, Banach J. Math. Anal. 14, 1692–1710 (2020)

• 18. (with Pere Ara, Christian Bönicke and Joan Bosa) The type semigroup, comparison, and almost finiteness for ample groupoids, arXiv:2001.00376, Ergodic Theory Dynam. Systems 43 (2023), no. 2, 361–400

• 17. (with Ana Khukhro, Federico Vigolo and Jiawen Zhang) On the structure of asymptotic expanders, arXiv:1910.13320, Advances in Mathematics 393 (2021) 108073

• 16. (with Piotr Nowak, Ján Špakula and Jiawen Zhang) Quasi-local algebras and asymptotic expanders, arXiv:1908.07814, Groups Geom. Dyn. 15 (2021), 655–682        

• 15. (with Bruno M. Braga and Yeong Chyuan Chung) Coarse Baum-Connes conjecture and rigidity for Roe algebras, arXiv:1907.10237, J. Funct. Anal. 279 (2020), no. 9, 108728

• 14. (with Yeong Chyuan Chung) Structure and K-theory of lp uniform Roe algebras, arXiv:1904.07050, J. Noncommut. Geom. 15 (2021), 581–614 

• 13. (with Zhijie Wang and Jiawen Zhang) A quasi-local characterisation of Lp-Roe algebras, arXiv:1808.08593, J. Math. Anal. Appl. 474 (2019), no. 2, 1213-1237

• 12. (with Yeong Chyuan Chung) Rigidity of lp Roe-type algebras, arXiv:1802.08921, Bull. London Math. Soc. (6) 50 (2018), 1056–1070

• 11. (with Christian Bönicke) Ideal structure and pure infiniteness of ample groupoid C*-algebras, arXiv:1707.03740, Ergodic Theory Dynam. Systems 40 (2020), no. 1, 34–63

• 10. (with Rufus Willett) Low-dimensional properties of uniform Roe algebras, arXiv:1705.01290, J. London Math. Soc. (2) 97 (2018), 98–124

• 9. (with Hung-Chang Liao) Classification of uniform Roe algebras of locally finite groups, arXiv:1705.03716, J. Operator Theory 80 (2018), no. 1, 25–46

• 8. (with Siegfried Echterhoff and Ryszard Nest) The orbit method for the Baum-Connes conjecture for algebraic groups over local function fields, arXiv:1704.08548, J. Lie Theory 28 (2018), no. 2, 323-341

• 7. (with Pere Ara, Fernando Lledó and Jianchao Wu) Amenability and uniform Roe algebras, arXiv:1706.04875, J. Math. Anal. Appl. 459 (2018), no. 2, 686–716

• 6. (with Pere Ara, Fernando Lledó and Jianchao Wu) Amenability of coarse spaces and K-algebras, arXiv:1607.00328, Bull. Math. Sci. 8 (2018), no. 2, 257-306

• 5. (with Jacek Brodzki and Chris Cave) Exactness of locally compact groups, arXiv:1603.01829, Adv. Math. 312 (2017), 209-233

• 4. (with Søren Knudby) A Schur multiplier characterization of coarse embeddability, arXiv:1505.01364, Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 3, 403-409

• 3. (with Søren Knudby) Approximation properties of simple Lie groups made discrete, arXiv:1408.5238v2, J. Lie Theory 25 (2015), no. 4, 985-1001

• 2. (with Steven Deprez) Permanence properties of property A and coarse embeddability for locally compact groups, arXiv:1403.7111, (2014)

• 1. (with Steven Deprez) Property A and uniform embedding for locally compact groups, arXiv:1309.7290, J. Noncommut. Geom. 9 (2015), no. 3, 797-819

Upcoming Talks in 2025-2026

• Non-commutative Dimension Theories at Aarhus University, January 22, 2025

• Dimension theories from groupoids to classifiable C*-algebras, and back again at University of Copenhagen, January 29, 2025

• Non-commutative Dimension Theories,  Ghent Methusalem Seminar at Ghent University, Belgium, March 27, 2025

• TBA, Conference "C*-Algebras, Coarse Geometry and Physics" at University of Greifswald, June 23-27, 2025

• TBA, Conference "Special Week on Operator Algebras 2025" at Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS), August 11 - 15, 2025

• TBA,  Operator Algebra Seminar at University of Tokyo, Japan, September 09, 2025

• TBA, Workshop "Groups and Operator Algebras" at SwissMAP research station at Les Diablerets, Switzerland, June 14 - 19, 2026

Theses

• Property A and coarse embedding for locally compact groups (Ph.D. Thesis, Advisors: Ryszard Nest and Uffe Haagerup)

• Introduction to Deformation/Rigidity Theory for II1 Factors (Master Thesis, Advisors: Steven Deprez and Uffe Haagerup)

• The Baum-Connes Conjecture with Coefficients (Graduate Course Project, Advisor: Ryszard Nest)

• Exact C*-Algebras (Bachelor Thesis, Advisor: Mikael Rørdam)

Teaching

• 2008, Block 1: Introduction to Mathematics.

• 2008, Block 2: Linear Algebra.

• 2012, Block 4: Introduction to Non-commutative Geometry.

• 2012, Block 1: Introduction to Mathematics.

• 2012, Block 2: Linear Algebra.

• 2013, Block 1: Introduction to Mathematics.

• 2013, Block 2: Linear Algebra.

• 2014, Block 1: Introduction to Mathematics.

• 2014, Block 2: Linear Algebra.

• 2015, Block 2: Linear Algebra.

• 2021, Spring: Operator Algebras. 

• 2021, Winter: Introduction to Operator Algebras.

• 2022, Summer: Introduction to Abstract Harmonic Analysis.

• 2022, Winter: Curves and surfaces.

• 2022, Winter: Reading Seminar "Unitary representation theory for groups and C*-algebras".

• 2023, Summer: Topologie.

• 2023, Winter: Bachelor Seminar "Topics in Topology".

• 2024, Summer: Interdisciplinary module "Topologie und Anwendungen".

• 2024, Winter: Interdisciplinary Bachelor Seminar "Topology".

• 2025, Summer: Introduction to Operator Algebras.

• 2025, Summer: Bachelor Seminar "Amenable Groups".

• 2025, Winter: Funktionalanalysis 2.

• 2025, Winter: Master Seminar Operator Algebras.

BA Supervision

• Bachelor Thesis Advisor for Lennard Kossmann “Mackey Machine and Unitary Duals” at FAU, 28 August 2023.

• Bachelor Thesis Advisor for Luciano Melodia “Algebraic and Topological Persistence” at FAU, 08 October 2024.

• Bachelor Thesis Advisor for Jonas Schindhelm “The Künneth Formula for Cohomology Rings” at FAU, 20 November 2024.

• Bachelor Thesis Advisor for Peter Langer “The Banach-Tarski Paradox and amenable groups” at FAU, 03 February 2025.

• Bachelor Thesis Advisor for Anghelina Manescu “An Introduction to Homotopy Groups: Foundations, Applications and Computational Techniques” at FAU, 14 February 2025.

MA Supervision

• Master Thesis Advisor for Luciano Melodia “Groupoid homology” at FAU, in preparation.

PhD Supervision

• Zehong Huang (joint supervision with Hang Wang at East China Normal University) starting from September 1, 2024.

The Mathematical Colloquium at FAU

• 24-01-2023: Xin Li: Interactions between C*-algebras, topological dynamics and group theory, University of Glasgow-Invited by K. Li

• 21-11-2023: David Kerr: Suspending the Pigeonhole Principle: Amenability and the Rokhlin Lemma, Universität Münster-Invited by K. Li

• 04-06-2024: Siegfried Echterhoff: Amenable Group Actions on Spaces and Operator Algebras, Universität Münster-Invited by K. Li

• 04-02-2025: Damian Longin Osajda: Fixed Points: From Local to Global, University of Copenhagen-Invited by K. Li

• 06-05-2025: Joachim Cuntz: Topological invariants for algebras of operators on Hilbert space, Universität Münster-Invited by K. Li

• 10-06-2025: Magdalena Elena Musat: The Connes-Kirchberg Problem and Infinite Dimensional Phenomena in Quantum Information Theory, University of Copenhagen-Invited by K. Li

Last modified: 23-03-2025