Slawomir Klimek
Professor
- Office:
- LD 270J
- Phone:
- (317) 274-8187
- Email:
- klimek@iu.edu
- Research Areas:
- Algebra and Number Theory | Mathematical Physics | Modern Analysis/Geometry
Professor
Prof. Klimek research focuses on the noncommutative geometry and its relation to modern theoretical physics and number theory. He constructed several classes of fundamental examples including quantum Riemann surfaces, Cartan domains, and noncommutative analogs of Dirac operators. He has also obtained a number of results in diverse area of modern analysis. During recent years, Klimek has been publishing papers on mathematical aspects of quantum field theories, supersymmetry, mathematical quantization, quantum chaos, cyclic theory, eta invariants, infinite dimensional group actions and Lie theory, and theory of operators on Banach and Hilbert spaces. He is currently working on construction of spectral triples for quantum surfaces and also for p-adic number theoretic systems.