Roman Holowinsky has been awarded one of this year's Sloan Fellowships.
Roman's research is in analytic number theory, an area of mathematics famous for such long-standing conjectures as the Riemann Hypothesis and the Goldbach conjecture, and which has recently received much attention due to its surprising connections with physics and quantum chaos.
The goal of quantum chaos is to understand the relationship between classical physics--the rules that govern the motion of macroscopic objects like people and planets when their motion is chaotic, with quantum physics--the rules that govern the microscopic world. Much of Roman's work has been dedicated to applying techniques from analytic number theory in order to better understand this relationship when looking at Hamiltonian flow on arithmetic quotient spaces with negative curvature. His contributions led to the resolution of the holomorphic analogue of the well-known Quantum Unique Ergodicity conjecture of Rudnick and Sarnak.
For the complete list of this year's Sloan Fellows, see the Sloan Foundation website: http://www.sloan.org/fellowships/page/21
Roman is the only Sloan Fellow in any discipline from Ohio State this year.