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Contact information: Address: Vladimir V. Kisil   School of Mathematics   University of Leeds   Leeds LS2 9JT   UK phone: +44 113 343 5173 fax: +44 113 343 5090 Email: V.Kisil@leeds.ac.uk, kisilv@maths.leeds.ac.uk Homepage: http://www.maths.leeds.ac.uk/~kisilv/

I am a Reader of Applied Analysis at Department of Pure Mathematics, University of Leeds.

My both MSc and PhD degrees in Mathematics were obtained from Institute of Mathematics, Economics, and Mechanics of Odessa National University named after I.I.Mechnikov—1908 Nobel Laureate in Medicine.

Current information:

• See Video introduction of the open-source Interactive Geometry Software for Möbius invariant geometry of cycles— MoebInv project. It is capable to produce symbolic and numeric computation of interconnected ensembles of cycles as well as graphically represent them in two and three dimensions. You can use:
  • precompiled GUI on your computer with Windows, MacOS and Linux.
  • Python/Jupyter notebooks available at Google Colab or CodeOcean capsule at your Web-browser. You can browse these notebooks as plain HTML pages starting from here.
• I am sharing L^AT_EX sources of my lecture notes, see below if interested.
• We are running the Schrödinger reading group. Let me know if you are interested to receive email announcements.
• I wrote the book Geometry of Möbius Transformations. Here is an easy reading introduction. The book is supported by DVD, you can play with conic sections interactively.

  The wider context for the book is explained in the paper Erlangen Program at Large: an Overview.

• Is there an opposition between the real and complex methods in harmonic analysis?
• Is it true that Classical/Quantum=Commutative/Noncommutative?
• Covariant calculus of operators.
• My paper Computation and Dynamics: Classical and Quantum represents classical and quantum computations as Hamiltonian dynamics.

My research interests are (see also Information for Prospective Postgraduate Students):

• Operator and C*-algebras with symmetries, particularly algebra of convolutions and pseudodifferential 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 and Clifford analysis;
• Applications of coherent states, wavelet transform and group representations in quantum mechanics, combinatorics, etc.

Current and Past Research Students:

• Dale Hodgson works on quantum information.
• Amjad Alghamdi works on on non-unitary representations of SL₂(R).
• Taghreed Alqurashi works on Fock spaces.
• Shuang Zheng works on discrete geometry.
• Fatimah Alabbad works on analytic functions.

My past research students at Mathematics Genealogy Project.

Online materials of mathematical courses:

Disclaimer: “Any teacher in the modern world who allows himself to be inspired by the ideals of his predecessors is likely to be made sharply aware that it is not his function to teach what he thinks, but to instill such beliefs and prejudices as are thought useful by his employers.”
  Bertrand Russell, The Functions of a Teacher.

You are welcome to use L^AT_EXsource files for on-line material under Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

You could also read:

• Information for Prospective Postgraduate Students.
• Complete List of Publications with hyperlinks to papers and reviews, also available as a PDF file.
• Curriculum Vita, also available as a PDF file.
• Some related links—a recommended way to leave my page.
• Animated mathematics on YouTube:
  

You are visitor number since the previous one.

All my works referenced from this page are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (unless a different license is explicitly stated).

This document was translated from L^AT_EX by H^EV^EA.