Hyunchul Park

Hyunchul Park is an Associate Professor and Chair of the Department of Mathematics at the State University of New York at New Paltz. His research focuses on Probability Theory and Stochastic Processes, particularly the study of discontinuous (jump) Markov processes such as Lévy processes. He explores spectral and potential theoretic properties of these processes, with applications to fractal geometry and the analysis of geometric domains via spectral objects like heat content and torsional rigidity.

Education: Ph.D. in Mathematics, University of Illinois at Urbana-Champaign (2013).

Research Interests: His work centers on Lévy processes, spectral heat content analysis, fractal structures, and asymptotic behavior of stochastic processes. Recent studies include small-time asymptotics of spectral heat content for Gaussian processes and non-isotropic Lévy processes, as well as spectral properties in fractal settings. His research bridges probability theory with areas like partial differential equations and financial mathematics.

Publications: Over 13 peer-reviewed articles since 2013, emphasizing spectral and geometric aspects of stochastic processes. Recent trends include unified frameworks for small-time spectral heat content analysis and fractal dimension results.

Professional Activities: Active participant in conferences such as the Seminar on Stochastic Processes and the Bernoulli-IMS World Congress. Engaged in organizing academic events and maintaining collaborations with leading researchers in probability theory.