Welcome to my webpage. I am an assistant professor at The University of Scranton in the Department of Mathematics. For research, I’m mostly interested in questions of applied probability and analysis.  My major research goal is to explain, on a rigorous level, the role of topology and randomness in biology and material science at multiple scales.  For finding effective behavior, this often involves using various limit theorems of SDEs.  I very much like to prove things, but simulation also plays an important role for conjectures (and sanity checks!).

The technicolor foam you see at the top of the page is the result of some image processing of a two-dimensional foam I created using two plates of plexiglass, some dish soap, and water. It takes a little more time to generate than you might expect! I’ve also gotten into the film business: click here to see an animation showing what foam collapse looks like after applying a uniform heating of one of the plates. On top of being seriously fun, these experiments are helping me figure out the nature of phase transitions in materials with microstructure.

Some areas that I find particularly interesting are

• High dimensional particle systems and kinetic theory
• Stochastic switching and renewal theory limits applied to SDEs
• Stochastic processes with networks as either the state space or elements of the state space

So far, I’ve worked on problems in microbiology, material science, and neural networks, but I’m always interested in hearing about how stochasticity can be applied to science, regardless of the discipline.

For more details, please visit my research page for more information on my previous and current work.

Office: Loyola Science Center 211E.

Email: joseph.klobusicky (AT) scranton (DOT) edu.

Spring 2023 Office Hours: Monday 3:00-4:30 and Thursday 10-11:30, or by appointment