I am an assistant professor in the Department of Mathematics at Gettysburg College.
Research Interests
My research in mathematical and computational neuroscience focuses on developing and applying techniques from dynamical systems theory to understanding neurophysiologic mechanisms for sleep/wake regulation. During the course of my graduate training in the Department of Mathematics and the Center for BioDynamics at Boston University and my postdoctoral training in the Division of Sleep Medicine at Harvard Medical School and the Department of Mathematics at the University of Michigan, I have developed a strong, externally-funded research program in applied math with vital connections to experimentalists in the field of sleep medicine.
Current research projects address the following:
- Multiple time scales in sleep-wake modeling
- Dynamics of neurotransmitter release
- Stochastic and deterministic contributions to the fine architecture of sleep-wake behavior
- Orexin neurons and their role in stabilizing sleep-wake behavior
- Regulation of rapid eye movement (REM) sleep and REM/non-REM dynamics
External funding
My research is or has been supported by the following grants:
- National Science Foundation Grant DMS 1121361 (2011-2014)
- Air Force Office of Scientific Research Grant FA9550-08-1-0111 (2008-2011)
Current teaching
MATH 112 Calculus II