April 2019 – present: semi-Full Professor (“profesor uczelni” in Polish)
at Gdańsk University of Technology,
at the faculty of Applied Physics and Mathematics
October 2018 – April 2019: Associate Professor
at Gdańsk University of Technology,
at the faculty of Applied Physics and Mathematics
August 2016 – August 2018: Assistant Professor (Tenure Track)
at California State University Channel Islands,
Computer Science Program
April 2014 – August 2016: Marie Curie Intra-European
Postdoctoral Fellow (until March 2016) and Postdoctoral Fellow
(April-August 2016) in Edelsbrunner Group
at the Institute of Science and Technology Austria (IST Austria)
July 2008 – June 2013: researcher in algebraic topology
at the Research Centre of Mathematics of the University of Minho
in Braga, Portugal (a fixed-term contract)
August 2006 – September 2007:
postdoctoral fellow at Department of Mathematics
of Kyoto University, Japan; the fellowship was awarded
by the Japan Society for the Promotion of Science
for the period of 13 months
August 2001 – May 2003, August 2005 – July 2006:
visiting assistant professor (postdoc)
at the School of Mathematics of Georgia Institute
of Technology (GaTech) in Atlanta, GA, U.S.A.
October 1999 – August 2006:
assistant professor at the Institute of Computer Science
of the Jagiellonian University in Kraków, Poland
2018 - Habilitation in mathematical sciences,
in the domain of computer science,
at the Jagiellonian University;
dissertation: Discrete Algorithms for Rigorous
Numerical-Topological Analysis of Dynamical Systems
2001 - PhD in mathematical sciences, in the domain of computer science,
at the Jagiellonian University;
PhD dissertation: A Topological Algorithm
for Rigorous Verification of the Existence of Periodic Trajectories
(in Polish); advisor:
Professor Marian Mrozek
2000 - Cambridge Certificate of Proficiency in English
(reference no. 00CPL0018007)
1999 - M.Sc. in computer science at the Jagiellonian University
(a diploma with distinction); master thesis:
Homology Computation of Chain Complexes and Cubical Sets
(in Polish);
supervisor:
Professor Marian Mrozek
1997 - M.Sc. in mathematics at the Jagiellonian University
(a diploma with distinction); master thesis:
Connection Matrices for Morse Decompositions (in Polish);
supervisor: Professor Roman Srzednicki
1992 - secondary school finals
at the 5th Secondary School in Kraków -
a class with mathematical profile, with mathematics and physics
taught by academic teachers
2021 - Technetium Talent Management Grant
"Data mining, machine learning and mathematical modeling in various applications"
for supporting the activity of mentors – academic teachers –
caring for especially gifted students who are involved in research activities
in Priority Research Area Centers at Gdańsk University of Technology
2019 - individual reward of the 2nd degree
from the Rector of Gdańsk University of Technology
for obtaining the Doctor Habilitatus degree in 2018
2017 - Materials, Services, Facilities and Technology (MSFT) Fee funded
grant for purchasing professional quality equipment
for the Networking and Security Lab (US$42,700 awarded)
2017 - Summer 2017 Research, Scholarship, and Creative Activities (RSCA)
internal grant at CSU CI for the research project entitled
The Persistence of Maps (US$5,400 awarded)
2015 - selected in a competitive call to give a series of two lectures
at the 3rd edition of the conference Between Theory and Applications:
Mathematics in Action (a scholarship of 9,600 zł awarded)
2012, 2013, 2015 - three Short Visit Grants
(608 euro + 1,587 euro + 617 euro), European Science Foundation,
in the framework of the ESF-PESC Networking Programme
Applied and Computational Algebraic Topology (ACAT)
2013 - Marie Curie Intra-European Postdoctoral Fellowship
for 2 years (248,379.60 euro)
2012 - Visiting Professor Grant for 1 month
(5,670 Brazilian Reals),
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Brazil
2009 - Research & Development Grant for 3 years (26,428 euro),
Foundation of Science and Technology (FCT), Portugal
2006 - Grant-in-Aid for Scientific Research for 13 months,
during the JSPS fellowship (1,000,000 yen),
Ministry of Education, Science, Technology, Culture and Sports, Japan
2005 - Postdoctoral Fellowship for 13 months
(ca. 6,200,000 yen in total),
Japan Society for the Promotion of Science
2001 - Advised Ph.D. Grant for completing the PhD thesis
(19,950 zł), Committee for Scientific Research, Poland
October 1997 – September 1999:
PhD student scholarship at the Institute of Mathematics
of the Jagiellonian University in Kraków, Poland
October 1997 – June 1999: student scholarship for good achievements
during the MSc degree course in computer science
1996 - Second Prize at the Third International Competition
in Mathematics for Undergraduate Students, Plovdiv, Bulgaria
October 1993 – June 1997: student scholarship for good achievements
during the MSc degree course in mathematics
1992: Finalist of the National Stage of the Polish Olympiad
in Mathematics for secondary school students
1990: Distinction in the Regional Stage of the Polish Olympiad
in Mathematics for secondary school students
(implied the highest grade in A-Levels in mathematics
without taking this exam, and exam-free entry to the university
for mathematics and computer science MSc degree programs)
1988: 1st Place in the Regional Olymiad in Mathematics
for primary school students
2022-2025 - principal investigator in the research project
"Topological and numerical methods in dynamical systems";
grant OPUS no. 2021/41/B/ST1/00405
2017 - director of the research project "The Persistence of Maps",
CSU Channel Islands
2011-2012 - team member in the strategic research project UI 13
of the Research Centre of Mathematics of the University of Minho;
FCT grant no. PEst-C/MAT/UI0013/2011
2010-2013 - team member in the research project
"Algebraic Topology and Applications";
grant no. PTDC/MAT/098317/2008
2010-2013 - principal investigator in the research project
"Computational Cohomology and Applications";
grant no. PTDC/MAT/098871/2008
2006-2007 - Grant-in-Aid No. 1806039 for Scientific Research
awarded by the
Ministry of Education, Science, Technology, Culture and Sports, Japan
2003-2006 - team member of the research project
"Computational Topology and Dynamics" (principal investigator:
Professor Marian Mrozek);
grant no. 2 P03A 041 24
2001-2002 - principal investigador in the advised Ph.D. grant
"Topological Algorithm for Rigorous Verification
of the Existence of Periodic Trajectories" (advisor:
Professor Marian Mrozek);
grant no. 5 P03A 039 20
2000-2003 - team member in the research project
"Topological Methods in Rigorous Computational Dynamics"
(principal investigator:
Professor Marian Mrozek);
grant no. 2 P03A 011 18
1998-2000 - participant of the research project
"Topological Methods in Computer-Assisted Proofs
in the Theory of Dynamical Systems"
(principal investigator:
Professor Marian Mrozek);
grant no. 2 P03A 029 12
2024 - member of the Organizing Committee
of the Workshop on
Topological Methods in Data Analysis
(TMDA2024),
Gdańsk, Poland
2024 - member of the Organizing Committee
of the Conference and Workshop on
Topological Invariants in Fixed Point Theory and Dynamical Systems
(TopInv2024),
Gdańsk, Poland
2023 - member of the Organizing Committee
of the Workshop on Mathematics and Physics in Cardiovascular Research
(MPCR2023),
Gdańsk, Poland
2022 - member of the Organizing and Scientific Committee
of the conference Mathematics for Society 2022:
Health, Industry and Sustainable Development
(Math4Society 2022),
Gdańsk, Poland
2021 - member of the Organizing Committee
of the Workshop on Topological Analysis of Medical Data
(TAMD2021),
Gdańsk, Poland
2019 - Program Committee member of the 21st International
Conference on Discrete Geometry for Computer Imagery
DGCI2019
in Paris, France
2019 - member of the Scientific Committee
of the 7th International Workshop on Computational Topology
in Image Context (CTIC2019)
in Malaga, Spain
2017 - senior Program Committee member of the 20th International
Conference on Discrete Geometry for Computer Imagery
DGCI2017
in Vienna, Austria
2016 - member of the Scientific Committee
of the 6th International Workshop on Computational Topology
in Image Context (CTIC16)
in Marseille, France
2014 - member of the Scientific Committee
of the international Workshop on Computational Topology
in Image Context (CTIC14)
in Timisoara, Romania
2012 - member of the Scientific Committee of the Fourth
International Workshop on Computational Topology in Image Context
(CTIC 2012)
in Bertinoro, Italy
2010 - member of the Program Committee of the Third
International Congress on Mathematical Software
(ICMS 2010 - developers meeting) at Kobe University, Japan
2010 - member of the Scientific Committee of the Third
International Workshop on Computational Topology in Image Context
(CTIC 2010) in Chipiona, Spain
I have participated in peer reviewing
for a few international academic journals and some events,
including the following ones (by invitation in each case):
2015 - Gdańsk University of Technology and Medical University of Gdańsk,
Poland (4 days)
2015 - California State University Channel Islands (CSUCI),
Camarillo, CA, U.S.A. (6 days)
2007 - Rutgers University, New Brunswick, NJ, U.S.A. (7 days)
2007 - Hokkaido University, Sapporo, Japan (10 days)
2006 - Hokkaido University, Sapporo, Japan (8 days)
2004 - Osaka University, Japan (1 week)
2002 - University of Sherbrooke, Canada (5 days)
2002 - Brown University, Providence, RI, U.S.A. (1 week)
2002 - Kyoto University, Japan (1 week)
2000 - Georgia Institute of Technology, Atlanta, GA, U.S.A. (1 month)
Hosted Visitors
2017 - Beata Graff, Medical University of Gdańsk, Poland (2 weeks)
2017 - Grzegorz Graff, Gdańsk University of Technology, Poland (2 weeks)
2017 - Tomasz Kaczynski, University of Sherbrooke, Canada (11 days)
2017 - Stefano Luzzatto, International Centre
for Theoretical Physics (ICTP), Trieste, Italy (2 weeks)
2016 - Stefano Luzzatto, International Centre
for Theoretical Physics (ICTP), Trieste, Italy (1 week)
2013 - Jacek Szybowski, AGH University of Science and Technology,
Kraków, Poland (1 week)
2012 - Jacek Szybowski, AGH University of Science and Technology,
Kraków, Poland (1 month)
2012 - Marcin Mazur, Jagiellonian University,
Kraków, Poland (1 month)
2012 - Marcio Gameiro, University of São Paulo
at São Carlos, Brazil (3 weeks)
2010 - Grzegorz Graff, Gdańsk University of Technology,
Poland (2 weeks)
2009 - Grzegorz Graff, Gdańsk University of Technology,
Poland (2 weeks)
Talks at Conferences and Workshops
2024 - Topological-numerical analysis of recurrence in applied dynamical systems,
delivered in the session Topological invariants and applications
at the VIII Symposium on Nonlinear Analysis (SNA 2024),
Juliusz P. Schauder Center for Nonlinear Studies,
Nicolaus Copernicus University in Toruń, Poland
2023 - Cubical sets, cubical maps, cubical homology, and the cubical Conley index,
a talk invited to the Jubilee Conference on the 70th Birthday of Prof. Marian Mrozek,
Faculty of Mathematics and Computer Science, Jagiellonian University, Kraków, Poland
2023 - Finite-resolution recurrence in dynamical models,
invited to the mini-symposium on Computational Dynamics
at the 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023),
Waseda University, Tokyo, Japan
2022 - Automatic analysis of recurrence in dynamical models,
Mathematics for Society 2022: Health, Industry and Sustainable Development,
Gdańsk University of Technology, Poland
2022 - Graph algorithms at the service of computational dynamics
(invited speaker, plenary talk), 9th edition of the international conference
CaRT – Combinatorics and Related Topics,
Poland-Mexico
2022 - Topological analysis of dynamics using graph algorithms,
3rd edition of the international conference On the Trail of Women in Mathematics,
Gdańsk, Poland
2022 - A topological method for computational analysis of dynamics
(invited speaker, plenary talk),
3rd edition of the international conference Applied Topology in Będlewo,
Będlewo, Poland
2022 - How much stochastic dynamics is there in the quadratic map family?
6th edition of the international conference on Dynamics,
Topology and Computations (DyToComp 2022),
Będlewo, Poland
2021 - Topological analysis of breathing patterns,
Workshop on Topological Analysis of Medical Data,
Gdańsk, Poland
2020 - Rigorous numerics in one-dimensional dynamics,
Wandering Seminar. A conference on Ergodic Theory and Dynamical Systems,
Gdańsk, Poland
2019 - Algorithmic computation of the homomorphism induced in homology,
invited to the session Computational mathematics,
Jubilee Congress for the 100th anniversary of the Polish Mathematical Society,
Kraków, Poland
2019 - Automatic classification of dynamical systems based upon Morse decomposition,
invited to the session Topological methods for differential equations,
Jubilee Congress for the 100th anniversary of the Polish Mathematical Society,
Kraków, Poland
2017 - Progress in algorithmic computation of the homological Conley index map,
invited to the Special Session on Morse, Conley, and Forman Approaches
to Smooth and Discrete Dynamical Systems,
Mathematical Congress of the Americas (MCA) 2017, Montreal, Canada
2016 - Computation of Cubical Steenrod Squares,
Computational Topology in Image Context, Marseille, France
2016 - Effective computation of expansivity rates
in one-dimensional dynamics (invited speaker),
Computation in Dynamics, ICERM, Brown University, Providence, RI, U.S.A.
2016 - Effective computation of expansivity rates
in one-dimensional dynamics,
Dynamics and Computation, a conference on the occasion
of the retirement of Professor Ushiki,
Kyoto University, Kyoto, Japan
2015 - Persistent homology for maps – a graph approach,
the final meeting of the TOPOSYS project, Jagiellonian University,
Kraków, Poland
2015 - Computing a map in homology through projections
from its graph, ACAT Final Project Meeting (ACAT 2015),
Institute of Science and Technology Austria, Klosterneuburg, Austria
2015 - A combinatorial-topological approach
to automatic classification of global dynamics
(invited speaker, plenary talk),
4th edition of the international conference on Dynamics,
Topology and Computations (DyToComp 2015),
Będlewo, Poland
2015 - Automatic classification of global dynamics
in multi-parameter systems (invited speaker), Conference
Between Theory and Applications – Mathematics in Action
(third edition), Będlewo, Poland
2015 - Inducing a map on homology from a correspondence,
Homology: Theoretical and Computational Aspects (HTCA) School,
Genova, Italy
2014 - Inducing a map on homology from a correspondence,
invited to the workshop on Computational Topology and Geometry
within the 8th Foundations of Computational Mathematics conference
(FoCM 2014), Montevideo, Uruguay
2014 - An application of the persistence paradigm
to the computation of the Conley index,
invited to the workshop on Computational Dynamics
within the 8th Foundations of Computational Mathematics conference
(FoCM 2014), Montevideo, Uruguay
2014 - A chain contraction approach
to the algorithmic computation of homology,
cohomology, and homological operations
on cubical complexes (invited speaker),
Seventh de Brún Workshop on Homological Perturbation Theory,
Galway, Ireland
2014 - Outer approximations of maps in combinatorial analysis
of dynamics (invited speaker), International Workshop
on Combinatorial/Topological Frameworks for Multiparameter Nonlinear Dynamics,
Lorentz Center, Leiden, The Netherlands
2014 - Automatic classification of global dynamics
via Morse decompositions. The case of flows,
Minisymposium on Computational Methods at the
8th European Nonlinear Dynamics Conference (ENOC 2014),
Vienna University of Technology, Vienna, Austria
2014 - Computational homology (invited speaker, plenary talk),
CSM - The Third Conference of PhD Students in Mathematics, and
(CS)2 - The 9th Conference of PhD Students in Computer Science,
University of Szeged, Hungary
2014 - Automatic classification of global dynamics
in flows with parameters (invited speaker), RIMS Conference /
The 6th CREST-SBM International Conference on
New Directions in Applied Dynamical Systems,
Kyoto, Japan
2014 - Transitivity and mixing at finite resolution
(invited speaker), International Workshop on
Dynamical Systems and Computation, Kyoto, Japan
2013 - A chain contraction approach to the computation
of cubical homology and cohomology,
invited to the special session
Computer algebra in algebraic topology and its applications,
Applications of Computer Algebra (ACA 2013),
Málaga, Spain
2013 - Morse decompositions for time-t Maps (invited speaker)
and Preliminary computation of Morse decompositions
for the Gardner-Smoller equation,
Fifth Developers Workshop on the Conley-Morse Database Project,
Kyoto, Japan
2012 - Computation of cubical homology, cohomology,
and related operations via chain contraction,
International Conference on Dynamics,
Topology and Computations (DyToComp 2012),
Będlewo, Poland
2012 - On the computation of the cohomological Conley index
from a cubical representation of the index map
that is not acyclic (invited speaker),
Third Developers Workshop on the Conley-Morse Database Project,
Florianopolis, Brazil
2012 - Automatic computation of global dynamics for flows,
Summer Meeting on Differential Equations, 2012 Chapter,
Instituto de Ciências Matemáticas
e de Computação (ICMC),
Universidade de São Paulo, São Carlos, Brazil
2011 - Finite resolution dynamics based on open covers,
invited to the mini-symposium
Computational Approach to Global Dynamics,
7th International Congress on Industrial and Applied Mathematics (ICIAM),
Vancouver, BC, Canada
2011 - Set-oriented numerical analysis
of difference equations with parameters (invited speaker),
Future Directions in Difference Equations,
Vigo, Spain
2010 - tutorial session on the CHomP software,
3rd International Congress on Mathematical Software
(ICMS 2010 - developers meeting),
Kobe University, Japan
2010 - Automatic computation of the Conley index.
Algorithms and applications,
Special Session on Topological Invariants in Dynamical Systems,
8th AIMS Conference on Dynamical Systems,
Differential Equations and Applications,
Dresden, Germany
2009 - Finite resolution dynamics based on open covers,
International Conference on Dynamics,
Topology and Computations (DyToComp 2009),
Będlewo, Poland
2009 - Automatic analysis of global dynamics
in multi-parameter families of difference equations
(invited speaker; plenary talk),
Progress on Difference Equations 2009,
Będlewo, Poland
2009 - A rigorous numerical method for estimating uniform
expansion rates in one-dimensional dynamics (invited speaker),
Dynamic Day in Porto,
Department of Pure Mathematics, University of Porto, Portugal
2008 - The Computational Homology Project (CHomP) and its software
for the digital image analysis (invited speaker),
Computational Algebraic Topology within Image Context,
Department of Applied Mathematics I,
University of Seville, Spain
2008 - The Computational Homology Project (CHomP)
and its software for mathematical computing,
First Global COE Seminar on Mathematical Research Using Computers,
Department of Mathematics, Kyoto University, Japan
2008 - Automatic classification of global dynamics
of multi-parameter systems (short communication),
New Development in the Study of
Dynamical Systems beyond Uniform Hyperbolicity,
Research Institute of Mathematical Sciences, Kyoto, Japan
2008 - Computational-topological approach
to the classification of global dynamics of multi-parameter systems,
Dynamics & Applications,
University of Minho, Braga, Portugal
2008 - Databases for the global dynamics
of multi-parameter systems (invited speaker),
Computational Topology and Dynamics Workshop,
Montana State University, Bozeman, MT, U.S.A.
2008 - Quantitative hyperbolicity estimates
in one-dimensional dynamics,
International Workshop on Computer Assisted Proofs in Nonlinear Dynamics,
Imperial College, London, United Kingdom
2007 - The CHomP software advanced features,
JSIAM Summer Seminar on Applied Mathematics
"Computational Homology: Theory and Applications",
Hokkaido University, Sapporo, Japan
2007 - Computer assisted analysis of global dynamics
via Morse decompositions (invited speaker),
RIMS Workshop on New Trends of Dynamical Systems and its Applications,
Kyoto, Japan
2007 - Computational Homology Project (invited speaker),
16th Meeting of the Japan Society for Symbolic and Algebraic Computation,
Kurashiki, Japan
2007 - Combinatorial approach to dynamics
and Morse decompositions (invited speaker),
NCTS Workshop on Dynamical Systems,
National Tsing-Hua University, Hsinchu, Taiwan
2007 - Computational Homology Project,
4th workshop Mathematical Software and Free Documents,
Saitama University near Tokyo, Japan
2007 - Continuation of Morse decompositions -
an algorithmic approach,
Workshop on Topological and Computational
Approaches to Dynamical Systems and Applications,
Ryukoku University, Kyoto, Japan
2007 - A computer assisted approach to the continuation
of Morse decompositions,
Winter Dynamical Systems Workshop,
Graduate School of Mathematical Sciences, University of Tokyo, Japan
2006 - Computing the homology of cubical sets and maps,
Topology and Computers 2006,
Osaka, Japan
2006 - Automatic homology computation with application
to pattern classification,
RIMS Symposium on Pattern Formation Problems in Dissipative Systems,
Kyoto, Japan
2006 - An automated method for the analysis
of a multi-parameter family of dynamical systems,
Sixth International Conference on Dynamical Systems
and Differential Equations,
Poitiers, France
2006 - Introduction to the CHomP software,
International Conference on Dynamics,
Topology and Computations (DyToComp 2006),
Będlewo, Poland
2006 - Cubical index pairs and the excision property,
International Conference on Dynamics,
Topology and Computations (DyToComp 2006),
Będlewo, Poland
2006 - Computational Homology Project
(at Computational Homology Tutorial Session),
Computational Homology and Materials Science Workshop,
Georgia Institute of Technology in Atlanta, GA, U.S.A.
2004 - Computer-assisted topological methods
in dynamical systems (in Polish),
School on Dynamical Systems,
Będlewo, Poland
2004 - Cubical approach to the computation of the homology
of continuous maps,
Workshop on Dynamics and Computations,
Shonan International Center in Kanagawa Prefecture, Japan
2003 - Algorithmic homology computation and the Conley index,
Dynamical Systems,
University of North Texas in Denton, TX, U.S.A.
2003 - Automatic computation of the Conley index.
A cubical approach,
Fourth International Conference on Dynamic Systems and Differential Equations,
Morehouse College, Atlanta, GA, U.S.A.
2003 - Algorithmic homology computation as a tool in dynamics,
Maryland-Penn State Workshop on Dynamical Systems and Related Topics,
University of Maryland at College Park, U.S.A.
2002 - Topological-numerical approach
to the existence of periodic trajectories in ODEs,
The Fourth International Conference
on Dynamical Systems and Differential Equations,
University of North Carolina at Wilmington, U.S.A.
2001 - Periodic trajectories
in the Rössler and Lorenz equations (invites speaker),
Second Workshop on the Conley Index and Related Topics,
University of Sherbrooke, Canada
1999 - Computer assisted proof of the existence of a periodic orbit
in the Rössler equations,
Equadiff 99, Berlin, Germany
Mini-Courses and Other Talks
2023 - Mathematics for computers, computers for mathematics,
a talk for secondary school (high school) students (2 x 45 min),
Gdańsk University of Technology, Gdańsk, Poland
2023 - Computational homology, cubical grids,
and rigorous numerical analysis of dynamics,
a mini-course (6 hours) at the summer school
Topology and Dynamical Systems in Action
held in June 2023 at Gdańsk University of Technology, Poland
2022 - A topological method for computational analysis of dynamics,
a mini-course delivered at the workshop Introduction to Computational Mathematics,
Adam Mickiewicz University, Poznań, Poland
2021 - Mathematics for computers, computers for mathematics,
a talk at a meeting of the Academic Society of Students of Mathematics
at Gdańsk University of Technology, Gdańsk, Poland
2012 - Computational Homology and Applications
a mini-course of 3 x 2 hours
delivered at Instituto de Ciências Matemáticas
e de Computação (ICMC),
Universidade de São Paulo, São Carlos, Brazil
Poster Presentations
2014 - Chain contraction approach to (co)homology computation,
international workshop on Discrete, Computational
and Algebraic Topology (DCAT), Copenhagen, Denmark
2010 - The Computational Homology Project - CHomP,
3rd International Congress on Mathematical Software
(ICMS 2010 - developers meeting),
Kobe University, Japan
Talks on Own Work at Academic Seminars
2023 - Computation of the Conley index using cubical grids,
seminar of the Dioscuri Centre in Topological Data Analysis,
Mathematical Institute, Polish Academy of Sciences, Warsaw, Poland
2023 - Applications of graph algorithms in computational dynamics,
seminar of the Division of Combinatorial Optimization
at the Institute of Computer Science, University of Gdańsk, Poland
2021 - Persistent Homology and Heart Rate Variability,
Topological Data Analysis Seminar,
joint seminar of the University of Gdańsk and Gdańsk University of Technology, Gdańsk, Poland
2020 - How much stochastic dynamics is there in the logistic map?
Computational Mathematics Seminar, Jagiellonian University, Kraków, Poland
2019 - A numerical-topological method for the analysis
of dynamical systems,
Seminar of the Numerical Analysis Research Group,
Institute of Computer Science, University of Wrocław, Poland
2017 - Homology computation for maps – a graph approach,
Seminar of the Research Center on Algebraic and Geometric Structures,
Department of Mathematics, University of Sherbrooke, Canada
2015 - A computational method
for topological classification of global dynamics,
Seminar of ALTA - Institute for Algebra, Geometry, Topology
and their Applications, University of Bremen, Germany
2015 - Inducing a map on homology from a correspondence,
Seminar on Computational Mathematics, Chair of Computational Mathematics,
Institute of Computer Science of the Jagiellonian University,
Kraków, Poland
2015 - A combinatorial-topological method
for automatic classification of global dynamics
in multi-parameter systems,
Computer Science Graduate Seminar,
California State University Channel Islands, Camarillo, CA, U.S.A.
2015 - Automatic classification of global dynamics
in multi-parameter systems. A topological approach,
Colloqium on Computational Topology and Geometry,
Institute of Geometry, Graz University of Technology, Graz, Austria
2014 - Automatic combinatorial-topological analysis
of dynamical systems, Differential Equations Seminar,
Bolyai Institute, Faculty of Science and Information Technology,
University of Szeged, Hungary
2014 - A computational framework
for combinatorial-topological analysis of dynamical systems,
Geometry and Topology Seminar,
Institute of Science and Technology, Klosterneuburg, Austria
2014 - Automatic classification of global dynamics
via Morse decomposition in dynamical systems with parameters,
Dynamical Systems Seminar, Meiji University, Tokyo, Japan
2012 - Automatic classification
of global dynamics in multi-parameter systems,
Dynamical Systems Seminar, Departmento de Matemáticas,
Universidad de Oviedo, Spain
2010 - A computational method for automatic analysis
of global dynamics of multi-parameter systems,
Department of Physics,
Universidad Carlos III de Madrid, Spain
2010 - A database schema for the analysis
of global dynamics of multi-parameter systems,
Department of Applied Mathematics,
University of Vigo, Spain
2010 - Finite resolution dynamics,
Dynamical Systems Seminar,
Department of Mathematics, Kyoto University, Japan
2010 - Algorithmic analysis of global dynamics
in dynamical systems with parameters (in Polish),
Departmental Colloquium of the Mathematicians,
Department of Technological Physics and Applied Mathematics,
Gdańsk University of Technology, Poland
2009 - A database schema for the analysis
of global dynamics of multi-parameter systems,
Seminario de sistemas dinamicos,
Centro de Matematica e Aplicaçoes Fundamentais,
Universidade de Lisboa, Portugal
2009 - A method for automatic classification
of global dynamics in multi-parameter systems,
Dynamical Systems Seminar,
Mathematics Department, Imperial College, London, United Kingdom
2009 - An algorithm for the classification
of global dynamics of multi-parameter systems,
Seminário em Análise, Geometria
e Física-Matemática,
University of Minho, Braga, Portugal
2008 - Cataloguing global dynamics in multi-parameter systems,
Computer-Aided Proofs in Analysis (CAPA) seminar,
Mathematics Department, Bergen University, Norway
2007 - Automatic topological-combinatorial analysis
of global dynamics,
Dynamical Systems Seminar,
Mathematics Department, University of Porto, Portugal
2007 - Computational dynamics,
Faculty of Integrated Arts and Sciences,
Kyushu University, Fukuoka, Japan
2007 - Automated analysis of dynamical systems
with the use of graph algorithms,
Faculty of Integrated Arts and Sciences,
Hiroshima University, Japan
2007 - Computational approach to algebraic topology:
cubical homology,
Dynamical Systems Seminar,
National Center for Theoretical Sciences, Math. Division,
National Tsing Hua University,
Hsinchu, Taiwan
2007 - Combinatorial analysis of dynamical systems,
Nonlinear Analysis and PDEs Seminar,
Rutgers University, New Brunswick, NJ, U.S.A.
2006 - Computational dynamics and cubical homology,
Kyoto Interdisciplinary Dynamics Seminar (KIDS),
Kyoto Uniersity, Japan
2006 - Algorithms and software for the cubical homology
computation (a series of two talks),
Hokkaido University, Sapporo, Japan
2006 - Algorithmic approach to the computation
of homology of spaces and maps,
Colloquium of the Department of Mathematics,
Kyoto University, Japan
2005 - A concurrent algorithm for constructing
index pairs (in Polish),
Seminar on Symbolic and Computational Dynamics,
Institute of Computer Science, Jagiellonian University,
Kraków, Poland
2004 - Cubical homology and its automatic computation
(a series of two talks),
Osaka University, Japan
2003 - An algorithm for constructing
cubical index pairs (in Polish),
Seminar on Symbolic and Computational Dynamics,
Institute of Computer Science, Jagiellonian University,
Kraków, Poland
2003 - An algorithm for computing homomorphisms
induced in homology (in Polish),
Seminar on Symbolic and Computational Dynamics,
Institute of Computer Science, Jagiellonian University,
Kraków, Poland
2002 - Combinatorial approach to ODEs,
seminar of the Lefschetz Center for Dynamical Systems,
Brown University, Providence, RI, U.S.A.
2002 - Algorithmic approach to rigorous verification
of the existence of periodic solutions to ODEs,
Seminaire d'analyse et sujets connexes,
University of Sherbrooke, Canada
2002 - Rigorous numerics for attracting periodic trajectories
in ODEs,
Joint Seminar on Dynamical Systems and Nonlinear Analysis,
Kyoto University, Japan
2001 - A topological algorithm for rigorous verification
of the existence of periodic trajectories (in Polish),
Faculty of Mathematics and Computer Science,
Adam Mickiewicz University of Poznań, Poland
2000 - Computer-assisted proving existence of periodic trajectories
in continuous-time dynamical systems,
continued as A topological algorithm for rigorous verification
of the existence of periodic trajectories (in Polish),
Seminar on Differential Equations and Related Topics,
Institute of Mathematics, Jagiellonian University,
Kraków, Poland
2000 - Computer assisted proof of the existence
of a periodic orbit in the Rössler equations,
School of Mathematics, Georgia Institute of Technology,
Atlanta, GA, U.S.A.
1999 - Computer-assisted proof of the existence
of a periodic orbit in the Rössler equations (in Polish),
Seminar on Symbolic and Computational Dynamics,
Institute of Computer Science, Jagiellonian University,
Kraków, Poland
1999 - Computation of homology of chain complexes
and cubical sets (in Polish),
Seminar on Symbolic and Computational Dynamics,
Institute of Computer Science, Jagiellonian University,
Kraków, Poland
1999 - Computation of homology of chain complexes
and cubical sets (in Polish),
Seminar on Differential Equations and Related Topics,
Institute of Mathematics, Jagiellonian University,
Kraków, Poland
Outreach Activities
2015 - A hands-on experience of the fundamental group:
discovering the trivial loop corresponding to the commutator
of the fundamental group of the space without two linked circles;
Open Campus~6, IST Austria
2014 - A demonstration of mazes in the plane, on a paper band,
and on a transparent twisted band (the Möbius band),
with the uniqueness of solution,
with focus on their selected mathematical properties;
Open Campus~5, IST Austria
Participation in Conferences and Workshops without Presentation
2016 - Winter School on Computational Mathematics (WSoCM),
organized in Będlewo by the Faculty of Mathematics
and Computer Science of the Jagiellonian University in Kraków
2016 - Applying for faculty positions: A hands-on workshop,
Institute of Science and Technology Austria (IST Austria),
Klosterneuburg, Austria
2014 - Teaching Didactics Workshop (2 days), IST Austria
2014 - The second annual meeting
of the Topological Complex Systems project (TOPOSYS),
Institute of Science and Technology Austria (IST Austria),
Klosterneuburg, Austria
2014 - Can we build an intelligent scientific reader?
Hands-on Workshop with Peter Murray-Rust and Michelle Brook,
Institute of Science and Technology Austria (IST Austria),
Klosterneuburg, Austria
2013 - Kyoto Dynamics Day 11, Department of Mathematics,
Kyoto University, Japan
2010 - Second Developers Workshop on the Conley-Morse Database Project
(active participant of the discussions),
Department of Mathematics, Kyoto University, Japan
2010 - 3rd International Workshop
on Computational Topology in Image Context (CTIC 2010),
Chipiona, Spain
2010 - First Developers Workshop on the Conley-Morse Database Project
(active participant and leader of considerable part of discussions),
Department of Mathematics, Kyoto University, Japan
2007 - Dynamics of Complex Systems - Mathematical Modeling, Method
and Prediction (an international conference in honor of
Y. Pesin and Y. Takahashi on their 60th birthdays),
Hokkaido University, Sapporo, Japan
2006 - Maryland-Penn State Workshop
on Dynamical Systems and Related Topics,
University of Maryland at College Park, U.S.A.
2005 - Midwest Dynamical Systems Seminar,
Northwestern University in Evanston, IL, U.S.A.
2005 - The 16th Fall Meeting of the
Workshop in Dynamical Systems and Related Topics,
Penn State University in State College, PA, U.S.A.
2005 - School on Dynamical Systems,
Będlewo, Poland
2004 - Kyoto Dynamics Days,
Kyoto University, Japan
2003 - Midwest Dynamical Systems Meeting,
Northwestern University, Evanston, IL, U.S.A.
2002 - Midwest Dynamical Systems Meeting,
University of Cincinnati, U.S.A.
2002 - New Directions in Dynamical Systems,
Ryukoku University and Kyoto University, Kyoto, Japan
2002 - Geometric Theory of Dynamical Systems,
Jagiellonian University, Kraków, Poland
2002 - Midwest Dynamical Systems Meeting,
University of North Carolina at Asheville, U.S.A.
2001 - Midwest Dynamical Systems Meeting,
University of Colorado at Boulder, U.S.A.
2001 - Second Gilles Fournier Memorial Conference,
University of Sherbrooke, Canada
1998 - Topological Methods in Nonlinear Analysis,
Interational Stefan Banach Center in Warsaw, Poland
1997 - Workshop on the Conley Index and Related Topics,
Warsaw, Poland
1996 - Topological Methods in Differential Equations
and Dynamical Systems, Kraków, Poland
Selected Programming Achievements
http://www.pawelpilarczyk.com/chomp/ – CHomP software:
the author of a considerable part of the source code
(please, see individual files for authorship information)
http://www.pawelpilarczyk.com/database/ –
an interactive presentation, including clickable diagrams
and the animations, programmed in PHP, HTML and JavaScript
http://www.pawelpilarczyk.com/cmgraphs/ – Conley-Morse graphs
computation software: the first version of the software
developed for the paper Databases for the Global Dynamics
of Multiparameter Systems
http://www.pawelpilarczyk.com/chaincon/ –
The ChainCon Software: a C++ library for basic computations
in effective algebraic topology: chain contractions,
algebraic minimal models, simplicial and cubical cup product;
software and examples
http://www.pawelpilarczyk.com/finresdyn/ – Finite
resolution dynamics: software and results of sample computations
http://www.pawelpilarczyk.com/parallel/ – Parallelization method
for a continuous property: software, examples and applications
http://www.pawelpilarczyk.com/unifexp/ – Uniform expansion
in one-dimensional maps: software and results of computations
http://www.pawelpilarczyk.com/excision/ – Excision-preserving
approach to the computation of the Conley index:
software and additional materials
I am familiar with the following programming languages: C++, ANSI C, Perl, Python, PHP, HTML,
Assembler for the 8086 processor, Pascal, Java, JavaScript, Basic.
Teaching Experience
Data Transfer, Collection and Security (30 hours)
- lab for a graduate level course (30 hours lecture) delivered by Bartosz Reichel
at Gdańsk University of Technology: spring 2023
Information Technologies (15 hours lecture)
- an undergraduate level course delivered at Gdańsk University of Technology:
fall 2021, fall 2022
(30 hours lab classes led by other academic teachers)
Data Warehouses (30 hours lecture)
- a graduate level course on data mining techniques, machine learning methods, and data warehousing technology
delivered at Gdańsk University of Technology:
fall 2020, fall 2021, fall 2022
(30 hours lab classes led by Paweł Wojda)
Topological Data Analysis (30 hours lecture + 15 hours lab + 15 hours project)
- a graduate level course delivered at Gdańsk University of Technology:
spring 2020, spring 2021, spring 2022, spring 2023
(the project classes in 2020 and one group in 2021 led by Adrian Myszkowski)
Advanced Programming (15 hours lecture + 45 hours lab)
- a graduate level course delivered at Gdańsk University of Technology:
spring 2019, spring 2020, spring 2021, fall 2021, fall 2022
(the lab classes led by other academic teachers since 2020)
Algorithms and Data Structures (30 hours)
- an undergraduate level lecture delivered at Gdańsk University of Technology:
spring 2019 (30 hours lab led by Jakub Ciesielski)
Numerical Methods (15 hours)
- lab for an undergraduate level lecture
delivered by Pawel Wojda at Gdańsk University of Technology:
fall 2018 (5 groups)
Software Engineering (30 hours lecture + 15 hours lab + 15 hours projekt)
- a graduate level course at Gdańsk University of Technology: fall 2018,
fall 2019, fall 2020, spring 2022, spring 2023
Cloud Computing (COMP 529, 3 hours lecture and lab combined per week)
- a graduate level course at CSU Channel Islands: fall 2017
Automata, Languages and Computation
(COMP 454, 3 hours lecture per week) - an undergraduate level course at CSU Channel Islands:
spring 2017, fall 2017
Computer Networks (COMP/IT 429, 2 hours lecture + 3 hours lab per week)
- an undergraduate level course at CSU Channel Islands: fall 2016, spring 2017, fall 2017
Software Engineering (COMP 350, 2 hours lecture + 3 hours lab per week)
- an undergraduate level course at CSU Channel Islands: fall 2016
Linear Algebra (12 lectures of 75 minutes each)
- a course for PhD students from diverse fields,
delivered voluntarily at IST Austria: fall 2014
Differential Equations (Math 2403, 42 hours)
- a course at Georgia Tech: fall 2005, spring 2006
Programming 2 (P2, 30 hours)
- recitation classes to a lecture by Professor Marian Mrozek:
2004/05 (2 sections in fall, 2 sections in spring)
Algorithms of Homological Algebra and Cubical Sets
(AAH, 30 hours) - recitation classes to a lecture by Professor Marian Mrozek:
2004/05
Programming 1 (P1, 30 hours)
- recitation classes to a lecture by Professor Marian Mrozek:
2003/04 (3 sections), 2004/05 (2 sections)
Programming (P, 30 hours)
- recitation classes to a lecture by Professor Marian Mrozek:
2003/04 (2 sections)
Introduction to Linear Algebra for Calculus
(Math 1522, 42 hours) - a course at Georgia Tech: spring 2002,
fall 2002 (2 sections)
Calculus III for Computer Science (Math 2601, 42 hours)
- a course at Georgia Tech: fall 2001
Theory of Programming (TP, 30 hours)
- recitation classes to a lecture by Professor Marek Zaionc:
2000/01
Classical Partial Differential Equations (RCK, 30 hours)
- recitation classes to a lecture by Professor
Stanisęaw Sędziwy:
2000/01
Variational Equations (RW, 30 hours)
- recitation classes to a lecture by Professor
Stanisęaw Migórski:
2000/01
Numerical Methods of Algebra (MNA, 30 hours)
- recitation classes to a lecture by Professor Janusz Traple:
1999/2000 (2 sections), 2000/01
Mathematical Analysis 1 (AM1, 60 hours)
- recitation classes to a lecture by Professor
Marek Pałasiński:
1999/2000, 2000/01
Computational Algebraic Topology (TAO, 30 hours)
- recitation classes to a lecture by Professor Marian Mrozek:
1997/98, 1998/99, 1999/2000, 2000/01, 2003/04
Algorithmic Theory of Dynamical Systems (AUD, 30 hours)
- recitation classes to a lecture by Professor Marian Mrozek:
1997/98, 1998/99, 1999/2000, 2000/01, 2003/04
Mathematics for students of Biology (45 hours)
- recitation classes to a lecture by Professor Antoni Dawidowicz:
1997/98, 1998/99
Hobbies
Hiking, cycling, Alpine skiing.
Photography, classical music.