University in Bialystok
Institue of Mathematics
Ciołkowskiego 1M
15-267 Białystok


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B. K. Kwaśniewski

DIVISION OF ANALYSIS

Bartosz Kosma Kwaśniewski - Assistant Professor


I am a member of the Division of Analysis. If you want to meet me, visit my headquarters:


Institue of Mathematics
Ciołkowskiego 1M
15-267 Białystok
room 3019


Research:

Operator algebras and non-commutative dynamics: crossed products by completely positive maps, endomorphisms (and semigroups of thereof), Cuntz-Pimsner algebras, Doplicher-Roberts algebras, uniqueness theorems, topological freeness, spectral and ergodic properties of abstract functional operators

For more detailed description see my Habilitation Report:
Structure of C*-algebras defined by relations of dynamic type

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Academic employment:

2014-2016 Post doc, IMADA, University of Southern Denmark, Odense
2013/2014 Assistant Professor, Institute of Mathematics, Polish Academy of Science, Warsaw
2009 - .... Assistant Professor, University of Bialystok
2003 - 2009 Assistant, University of Bialystok

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Research Projects:

2016 National Science Centre
Geometric, probabilistic and analytic theory of topological quantum groups and its links with operator algebras 2014/14/E/ST1/00525
2014 Seventh Framework Programme (FP7) UE
Operator algebras and single operators via dynamical properties of dual objects'' (OperaDynaDual) # FP7-PEOPLE-2013-IEF, No. 621724
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
2011 National Science Centre
Analysis of constructions and structures arising in investigation of C*-dynamical systems DEC-2011/01/B/ST1/03838
2009 Sixth Framework Programme of the EU
TODEQ: Operator Theory methods for Differential Equations
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:

2009 Ph. D. degree.
Thesis: Spectral analysis of operators generating irreversible dynamical systems
Supervisor: Prof. A. V. Lebedev
2003 Master's degree.
Thesis: Spectral and algebraic properties of non-local operators
Supervisor: Prof. A. V. Lebedev
2002 Bachelor's degree.
Thesis: On existence of stochastic processes - Kolmogorov Theorem
Supervisor: Dr. J. Kotowicz

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Teaching experience:


Lectures:
Probability theory, measure and integration theory, bounded operators in Hilbert spaces, C*-algebras and K-theory, topology, linear algebra, mathematics (for chemistry students)

Practical classess:
Functional analysis, complex analysis, mathematical analysis, measure and integration theory, bounded operators in Hilbert spaces, unbounded operators in Hilbert spaces, operator algebras in Hilbert spaces, C*-algebras and K-theory, topology, differential manifolds, differential 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:
  1. "Abstract theory of Lyapunov exponents" by Ewelina Druzba (2013)
  2. "Topological entropy of classical dynamical systems" by Beata Klinicka (2013)
  3. "All around the Bernoulli scheme" by Izabela Antoszczuk (2013)
  4. "Perron-Frobenius theorem and its application in Leontiev model" by Joanna Kokot (2013)
  5. "Various types of convergence of random variables" by Sylwia Grzegorczyk (2013)
  6. "Entropy and limit theorems" by Justyna Lebowska (2012)
  7. "In search of optimal code" by Ewelina Kropiewnicka (2012)
  8. "Second law of thermodynamics in Markov chains" by Magdalena Damiecka (2012)
  9. "Geometrical characterisation of stock-markets admiting no arbitration" by Kamil Szatylowicz (2011)
  10. "Snake-like irreducible continua" by Mateusz Aniserowicz (2011)
  11. "Fundamental theorem of the theory of expectional utility -- von Neumann-Morgenstern representation" by Edyta Szczucińska (2011)
  12. "Optimal prediction problem -- nonlinear regression" by Weronika Wasilewska (2011)
  13. "Equivalence of matrix represented games and linear programming problem" by Joanna Zarzecka (2011)
  14. "Entropy - quantitative measure of information" by Monika Kaczorowska (2010)
  15. "Ecological models of Lotka-Volterra type" by Paulina Jarczewska (2010)

Thesis co-supervision for master's degree:
  1. "K-theory of Cuntz-Krieger algebras and crossed products by endomorphisms" by Zofia Grabowiecka (2013), formal supervisor A. V. Lebedev

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