Professor of Mathematics and Statistics, Boston University
Department of Mathematics and Statistics
665 Commonwealth Ave, Boston, MA 02215
(617) 353-9553
tzvi@bu.edu
I develop statistical and mathematical methods for analyzing neural spiking activity and use them to understand how the brain represents and processes information. Much of this work centers on point process models, a statistical framework for relating the timing of neural spikes to the biological and behavioral signals that drive them.
I apply these methods in two directions. One is methodological, building estimation algorithms, goodness of fit tools, and mathematical theory that can be applied to any spiking neural system. The other is applied, using these tools to study how neurons and neural populations represent information during learning, memory, and rest. This includes work on how the hippocampus replays past experience and represents nonlocal space during exploration, and more recently, how brain rhythms such as sleep spindles are organized in time, and how that organization changes with aging and with conditions such as Down syndrome and Alzheimer's disease.