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I am a member of the Division of Functional Analysis which is a group of teaching,
researching, theorizing and practising mathematicians.
I invite you to visit my headquarters:
ul. Akademicka 2
15-267 Bialystok
room 214, phone:
+48 85 745-7566
With a bit of luck you may meet me there any time (night or day). In order to be sure check my office hours, or make an appointment.
Research:
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Structure of C*-algebras given by relations of dynamical origin, and spectral properties of operators
generating dynamical systems.
In particular:
- topological freness and uniqueness problem for relative Cuntz-Pimsner algebras, crossed products by endomorphisms or Fell bundles,
- transfer operators and reversible extensions of irreversible C*-dynamical systems,
- spectrum and spectral radius of operators generalizing weighted composition operators acting in the operator valued spaces.
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Research Projects:
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2011 National Science Centre (head of the project)
Structure of C*-algebras defined by relations, spectral and ergodic properties of operators generating dynamical systems
DEC-2011/01/D/ST1/04112
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2011 National Science Centre
Analysis of constructions and structures arising in investigation of C*-dynamical systems
DEC-2011/01/B/ST1/03838
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2009 Sixth Framework Programme of the EU
TODEQ: Operator Theory methods for Differential Equations
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2008 Polish Ministry of Science and Higher Education
Operator algebras generated by dynamical systems: spectral, asymptotic and entropic characteristics
# N N201 382634
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Education:
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2009 Ph. D. degree.
Thesis: Spectral analysis of operators generating irreversible dynamical systems
Supervisor: Prof. A. V. Lebedev
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2003 Master's degree.
Thesis: Spectral and algebraic properties of non-local operators
Supervisor: Prof. A. V. Lebedev
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2002 Bachelor's degree.
Thesis: On existence of stochastic processes - Kolmogorov Theorem
Supervisor: Dr. J. Kotowicz
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Teaching experience:
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Lectures:
Probability theory, measure and integration theory, bounded operators in Hilbert spaces, topology, linear algebra, mathematics (for chemistry students)
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Practical classess:
Functional analysis, complex analysis, mathematical analysis,
measure and integration theory, bounded operators in Hilbert spaces,
unbounded operators in Hilbert spaces, topology, differntial equations,
probability theory, Lie algebras and Lie groups, Clifford algebras and Spin groups, character theory, mathematics (for chemistry students)
and computer labs |
Thesis supervision for bachelor's degree:
- "Geometrical characterisation of stock-markets admiting no arbitration" by Kamil Szatylowicz (2011)
- "Snake-like irreducible continua" by Mateusz Aniserowicz (2011)
- "Fundamental theorem of the theory of expectional utility -- von Neumann-Morgenstern representation"
by Edyta Szczucińska (2011)
- "Optimal prediction problem -- nonlinear regression" by Weronika Wasilewska (2011)
- "Equivalence of matrix represented games and linear programming problem" by Joanna Zarzecka (2011)
- "Entropy - quantitative measure of information" by Monika Kaczorowska (2010)
- "Ecological models of Lotka-Volterra type" by Paulina Jarczewska (2010)
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