Dr Vladimir V. Kisil

Dr Vladimir V. Kisil

Profile

Mathematics is a unified subjects and the concept of symmetry links together various areas. Applications in physics and other sciences provide a rich source of intriguing questions and inspiring hints for their solutions.

Information for Prospective Postgraduate Students

I obtained my both degrees from the Odessa University

I am developing Interactive Geometry Package http://moebinv.sourceforge.net/ to learn and research an extended Mobius-Lie geometry. You can try it on your computer: https://sourceforge.net/projects/moebinv/files/binary/

Research interests

Applications of symmetries and group representations in geometry, complex analysis, operator theory, functional calculus and spectra. In particular:

  • C*-algebras with symmetries, e.g. algebra of convolutions and pseudo-differential operators on Lie groups and homogeneous spaces;
  • Functional calculus of operators and associated notions of (joint) spectrum of operators;
  • Hilbert spaces of analytic functions with reproducing kernels arising from group representations in complex, hypercomplex and Clifford analysis;
  • Applications of coherent states, wavelet transform and group representations in quantum mechanics, foundations of quantum mechanics;
  • Non-commutative geometry of homogeneous space based on the Erlangen programme;
  • Cancellative semigroups and umbral-type calculus in combinatorics, mathematical physics and analysis.
  • Extended Mobius-Lie geometry
  • Interactive Geometry Software

Qualifications

  • MSc 1989
  • PhD 1993

Professional memberships

  • London Math Soc
  • The International Society for Analysis, its Applications and Computation (ISAAC)

Research groups and institutes

  • Pure Mathematics
<h4>Postgraduate research opportunities</h4> <p>We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="https://phd.leeds.ac.uk">research opportunities</a> allow you to search for projects and scholarships.</p>