I am an applied mathematician working in the field of scientific computing. My goal is to develop accurate and efficient algorithms for computer simulation of physical processes. I have several ongoing projects in fluid dynamics and molecular dynamics. One application I'm studying in fluid dynamics is the stability of aircraft trailing vortices. The most recent work in this project led to an unexpected connection with chaotic Hamiltonian systems. I'm also developing fast treecode algorithms for electrostatics in molecular dynamics simulations. An important application is the protein folding problem in structural biochemistry, i.e. predicting the three-dimensional shape of a protein from knowledge of its amino acid sequence. These projects are supported by grants from the National Science Foundation and the Michigan Life Sciences Corridor Fund.
Computer simulation is pervasive in modern scientific inquiry. It is routinely used in many branches of engineering and science, and is increasingly applied in other fields such as finance and medicine. There is strong demand for scientific computing professionals in academia, industry, and national laboratories, and the field offers excellent career opportunities for mathematicians.
I welcome inquiries from exceptionally well-qualified and highly motivated students who are interested in doing a Ph.D. under my supervision. More information is available on my homepage: http://www.math.lsa.umich.edu/~krasny/