Mathematics
Research
The research interests of the group concentrate on real analysis, harmonic analysis and applications of analysis in probability theory. The probabilistic researches concern stochastic equations, branching processes and branching random walks. The analytic studies focus on discrete harmonic analysis, analytic number theory, real analysis on Lie groups and spaces of homogenuous type, LIttlewood-Paley theory, singular and oscillating integrals, functional spaces and orthogonal polynomials. Collaborators:
G. Alsmeyer (Muenster), J.P. Anker (Orleans), Viktor Bezborodov (Bielefeld ), A. Bhattacharya (Indian Institute of Technology), S. Brofferio (Paris Orsay), N. Gantert (Technische Universität München), A. Iksanov (Kiev), P. Ivanisvili (UC Irvine), S. G. G. Johnston (King’s College London), M. Lemm (Tubingen), C. Mailler ( Bath), B. Mallein (Université Paris 13), A. Marynich (Kiev), S. Mentemeier (Hildesheim), M. Matsui (Nanzan University), S. Meda (Mediolan), T. Mikosch (Copenhagen), C. Perez (Sevilla), J. Prochno (Passau), F. Ricci (SNS Piza), D. Schmid (Bonn), L. Slavikova (Praga), J.Wright (Edynburg).
Group
Dariusz Buraczewski, Wojciech Cygan, Ewa Damek, Piotr Dyszewski, Jacek Dziubański, Paweł Głowacki, Waldemar Hebisch, Agnieszka Hejna, Edyta Kania, Konrad Kolesko, Yuriy Kryakin, Mariusz Mirek, Maciej Paluszyński, Marcin Preisner, Ziemowit Rzeszotnik, Witold Świątkowski, Grzegorz Świderski, Roman Urban, Błażej Wróbel,
Research
Most frequently discussed topics include: nonlocal problems (chemotaxis etc.), nonlocal diffusion operators, porous media equations, reaction-diffusion systems, equations of hydrodynamics. The group maintains long-standing scientific contacts with French and Austrian mathamaticians: J. Dolbeault, M. J. Esteban, D. Hilhorst, P. A. Markowich, Ph. Laurençot, M. Cannone, L. Brandolese, C. Imbert, R. Monneau.
Group
Piotr Biler, Szymon Cygan, Grzegorz Karch, Krzysztof Krawczyk, Miłosz Krupski, Andrzej Krzywicki (emer.), Andrzej Raczyński, Robert Stańczy, Krzysztof Tabisz
Badania
Research Fields/Topics: ● Gaussian processes; extreme value theory of Gaussian processes; exact asymptotic for extrema; Pickand’s constants; ● Levy processes; extreme value theory of Levy processes; fluctuation theory of Levy processes; reflected Levy processes; refracted Levy processes; heavy tailed distributions; ● Markov processes; stochastic networks, queueing networks; fluid queues; Kendall walks; speed of convergence for finite Markov chains; cut-off phenomena; Markov chains in cryptography; MCMC; dual Markov chains; ● Point processes; Boolean models in stochastic geometry, determinantal and permanental point processes, Gibbs point processes; correlation inequalities; FKG inequalities; particle systems; ● Generalized convolutions; Kendall convolutions; non-commutative convolutions; sequences of moments for convolutions; ● Financial and actuarial mathematics; Parisian ruin models; mortality rate models; optimal detection in Levy models; copulas and Levy copulas; mathematics of financial instruments; mathematical models for business;
Collaborators: prof. Soeren Asmussen, Aarhus University, Aarhus, Denmark, prof. Franck Adekambi, University of Johannesburg, Johannesburg, SA, prof. Erik Baurdoux – London School of Economics (LSE), London, UK, prof. Bartek Blaszczyszyn, INRIA-ENS, Paris, France, prof. Hans Daduna, Hamburg University, Hamburg, Germany, prof. Ton Dieker, Columbia, New York, USA, prof. José Luis Pérez Garmendia, Department of Probability and Statistics,Centro de Investigacion en Matematicas (CIMAT) Guanajuato, Mexico. prof. Hélène Guérin, RMAR, Université de Rennes 1, Rennes Cedex, France, prof. Enkelejd Hashorva, University of Lausanne, Lausanne, Switzerland, prof. Michel prof. Tomasz J. Kozubowski, University of Nevada, Reno, USA, prof. Guenter Last, Karlsruhe Institute of Technology, Karlsruhe, Germany, prof. Michel Mandjes, University of Amsterdam, Amsterdam, Netherlands, prof. Anna K. Panorska, University of Nevada, Reno, USA prof. Jan Rosiński, University of Tennessee, Tennessee,USA prof. Kazutoshi Yamazaki, Department of Mathematics, Faculty of Engineering Science, Kansai University, Japan.
Zespół
Marek Arendarczyk, Krzysztof Dębicki, Barbara Jasiulis-Gołdyn, Adam Kaszubowski, Paweł Kawa, Przemysław Klusik, Michał Krawiec, Paweł Lorek, Bogdan Mincer, Tomasz Rolski, Ryszard Szekli
Research
Generalized noncommutative stochastic processes and connections with deformed commutation relations and with classical probability, and properties of the associate von Neumann algebras. Brownian Motions related to Coxeter groups of type B and D. Simultaneous infinite divisibility of probability measures in both classical and free probability and their Bargmann representations. Properties of deformations of operators corresponding to deformations of measures in noncommutative probability. Combinatorial aspects of noncommutative probability. New models of independence in noncommutative probability. Levy processes on quantum groups. Orthogonal polynomials and the problem of moments.
Collaborators: R. Speicher, M. Weber (Saarbruecken), F. Goetze (Bielefeld), N. Obata, F. Hiai (Tohoku), U. Franz (Besancon), K. Penson (Paris), F. Cipriani (Mediolan), T. Hasebe (Kyoto), E. Lytvynov (Swansea), M. Wojtylak (Kraków), A. Skalski (Warszawa), F. Lehner (Graz), C. Berg (Copenhagen).
Group
Marek Bożejko (emerytowany), Biswarup Das, Lahcen Oussi, Wojciech Młotkowski, Ryszard Szwarc, Mariusz Tobolski, Janusz Wysoczański, Anna Wysoczańska-Kula
Research
The research interests focus on geometric group theory, symplectic topology and contact topology. Some collaborators: M. Davis (Columbus), F. Haglund (Orsay), U. Bader (Weizmann), U. Oertel (Rutgers), J. Kędra (Aberdeen) i G. Arzhantseva (ESI Wieden).
Group
Jan Dymara, Tadeusz Januszkiewicz, Jacek Świątkowski, Tomasz Elsner, Światosław Gal, Damian Osajda, Michał Marcinkowski
Research
The research interests of this group focus on classical and algebraic model theory, with applications to differential algebra, and o-minimality. There is a close collaboration with researchers in Notre Dame (A. Pillay, S. Starchenko), Lyonem (F. Wagner, I. Ben-Yaacov), Jerozolimą (E. Hrushovski, I. Kaplan), Berkeley (P.Simon) i Los Angeles (A. Chernikov).
Group
Jan Dobrowolski, Grzegorz Jagiella, Jakub Gismatullin, Piotr Kowalski, Krzysztof Krupiński, Nadav Meir, Ludomir Newelski, Tomasz Rzepecki, Aleksandra Wencel
Research
The research interests contain Banach space theory, forcing axioms, descriptive set theory, continuum theory and applications of infinitary combinatorics in topology, functional analysis and measure theory. Some collaborators: Antonio Aviles (Uniwerystet w Murcii), Mirna Dżamonja, David Chodounsky (Czeska Akademia Nauk), Barnabas Farkas (Politechnika Wiedeńska), Witold Marciszewski (Uniwersytet Warszawski), Damian Sobota (Uniwersytet Wiedeński).
Group
Arturo Martinez-Celis, Piotr Borodulin-Nadzieja, Sebastian Jachimek, Maciej Korpalski, Jan Kraszewski, Aleksandra Kwiatkowska, Krzysztof Omijlanowski, Janusz Pawlikowski (emerytowany), Grzegorz Plebanek, Tomasz Żuchowski
Research
Zakład statystyki prowadzi badania w zakresie statystyki matematycznej i
stosowanej.
W szczególności grupa zajmuje się konstrukcją i analizą własności algorytmów do analizy wielowymiarowych zbiorów danych a także zastosowaniami tych algorytmów w biologii, medycynie, genetyce, astronomii i analizie finansowej. Ponadto prowadzone są badania w dziedzinie teorii testowania hipotez obejmujące konstrukcje i analizę własności nowych testów dla ważnych problemów praktycznych a także w teorii procesów Markowa, teorii szeregów czasowych oraz teorii słabej zbieżności. Zespół współpracuje z czołowymi naukowcami z USA (Stanford, MIT, Harvard, University of Chicago, University of Pennsylvania, Columbia University), Europy (Lund University, University of Montpellier) i Izraela (Tel Aviv University, Hebrew University in Jerusalem) a także z naukowcami z innych ośrodków w Polsce (UW, PW, UMK, PWr).
Group
Małgorzata Bogdan, Krystyna Grzesiak, Michał Kos, Mateusz Staniak, Władysław Szczotka, Krzysztof Topolski, Grzegorz Wyłupek, Ludmila Zaitseva
Instytut Informatyki
Research
Computational Intelligence Research Group is a part of the Institute of Computer Science of the University of Wroclaw. Our research focuses on intelligent approaches to data analysis and developing intelligent decision support systems. It especially concerns evolutionary algorithms and neural networks as well as natural language processing and text mining. Our recent contributions include evolutionary algorithms for multi-dimensional optimization problems with correlated variables, evolutionary algorithms for dynamic optimization problems, neural networks for learning understandable classifier models as well as recognizing, understanding and searching through spoken and written texts.
Group
dr Jan Chorowski, mgr Patryk Filipiak, dr Paweł Rychlikowski, dr Piotr Wnuk-Lipiński
Research
The Division of Software Engineering deals with practical aspects of computer science. Among various scientific interests of the division staff are: programming languages: low-level programming, object-oriented programming, aspect-oriented programming, security policies, methods and tools of software development: enterprise platforms, frameworks, integrated IDEs, continuous integration & delivery, software development: multitier and distributed software architecture, design patterns, architecture patterns, integration patterns, project management: principles for software management.
Group
mgr Krystian Bacławski, dr inż. Leszek Grocholski, dr Marcin Młotkowski, mgr Zdzisław Płoski, mgr Paweł Rzechonek, dr Wiktor Zychla
Research
Programming Languages Group focuses on formal semantics of programming languages and theoretical foundations of programming languages with special regard to:
* functional languages,
* Curry-Howard isomorphism,
* formal proofs,
* logical systems.
Group
dr Małgorzata Biernacka, dr hab. Dariusz Biernacki, prof. Witold Charatonik (kierownik zakładu), dr Antoni Kościelski, dr Marek Materzok, dr hab. Jean-Marie de Nivelle, dr Maciej Piróg, dr Filip Sieczkowski, dr Tomasz Truderung, mgr inż. Tomasz Wierzbicki
Research
Numerical analysis group investigates theory and applications of computational methods. Research interests of the members include:
- algorithms for curves and surfaces,
- dual bases,
- convergence acceleration,
- mathematical methods in computer graphics,
- optimalization methods,
- computational statistics,
- approximation theory,
- orthogonal polynomials and special function.
Group
dr hab. Anna Bartkowiak mgr Filip Chudy, dr Przemysław Gospodarczyk, dr Witold Karczewski, prof. Stanisław Lewandowicz, dr Rafał Nowak, dr Paweł Rajba, dr hab. Mieczysław Wodecki, dr hab. Paweł Woźny (kierownik zakładu)
Research
The research of the Combinatorial Optimization Group focuses on discrete optimization problems arising in network design, scheduling, logistic and planning, and graph theory. We design efficient algorithms along with provable guarantees on the quality of constructed solutions. We apply and develop methods from different branches of mathematics and theoretical computer science, such as mathematical programming, combinatorics, and algorithm theory. Our areas of expertise include: approximation algorithms for NP-hard graph problems algorithms for travelling salesman problems structure of graphs and matchings online algorithms for scheduling problems rounding linear programming relaxations online algorithms for network problems algorithmic game theory |
Group
dr hab. Marcin Bieńkowski (kierownik zakładu), dr hab. Jarosław Byrka, dr Łukasz Jeż, dr Katarzyna Paluch, mgr Szymon Dudycz, mgr Pratik Ghosal, mgr Adam Kunysz, mgr Artur Kraska, mgr Mateusz Lewandowski, mgr Maciej Pacut, mgr Krzysztof Piecuch, mgr Paweł Schmidt, mgr Krzysztof Sornat
Research
Complexity and algorithms group looks for effective algorithms solving various problems. Research interests of the members include::
* algorithms on words,
* information security,
* distributed computing,
* automata theory,
* computational complexity and formal languages.
Group
mgr Wassim Al-Haddad, mgr Paweł Garncarek, dr Paweł Gawrychowski, mgr Michał Gańczorz, dr hab. Artur Jeż, dr hab. Tomasz Jurdziński, mgr Michał Karpiński, prof. Krzysztof Loryś (kierownik zakładu), mgr Krzysztof Nowicki, dr hab. Marek Piotrów, mgr Michał Różański, dr Grzegorz Stachowiak, dr Marek Szykuła
