Matthew Zabka

Dr. Matthew Zabka serves as an Associate Professor in the Department of Mathematics and Computer Science at Southwest Minnesota State University, with office SM 227 and contact details matthew.zabka@smsu.edu and (507) 537-6056.

His research program bridges algebraic topology with probabilistic methods, specializing in random structures within topological frameworks. Key interests include Morse theory applications in topological data analysis, cohomology operations on stochastic spaces, and combinatorial exploration of dynamical systems. His work demonstrates consistent innovation at the intersection of pure topology and computational mathematics.

Analysis of his publication timeline (2016-2023) reveals a progressive deepening of probabilistic approaches to topological constructs. Early work established foundations in random cohomology (2016) and Bockstein operators (2018), evolving through random chain complexes (2021) to sophisticated combinatorial frameworks for Morse-Smale functions (2023). This trajectory highlights growing methodological sophistication in applying stochastic processes to classical topological problems, particularly benefiting topological data analysis through persistence modeling and visualization techniques.