معرفی
Tomasz Kaczynski is an Associate Professor in the Department of Mathematics at the University of Sherbrooke, affiliated with the Research Group on Information Technologies (GRTCI) and the Research Team on Algebraic and Geometric Structures.
Education:
- M.Sc. in Mathematics, University of Warsaw (1981)
- Ph.D. in Mathematics, McGill University (1986)
- Postdoctoral Fellowship, University of Waterloo (1986-1987)
Research Focus: Dr. Kaczynski develops topological methods including homology, fixed point index, Conley index, and critical point theory to establish existence of solutions with specific properties in dynamical systems and differential equations. His work in computational topology bridges mathematics and computer science, with applications in computer vision and formal verification of chaotic systems observed in numerical experiments.
Publication Trends: Recent work advances multidimensional persistence algorithms and formal connections between combinatorial and classical vector field dynamics. These contributions drive topological data analysis for complex systems, emphasizing algorithmic development for dynamical modeling and image analysis.
Research Groups: He actively participates in the GRTCI and leads the Research Team on Algebraic and Geometric Structures, focusing on interdisciplinary applications of topological methods.
