Humans and other animals constantly accumulate sensory evidence, engage short term memory, and navigate their dynamic environment. These neural computations rely on the brain’s ability to robustly integrate information. Our group is extending existing theory and developing new mathematical techniques to understand how the brain’s multi-layered networks robustly integrate spatially structured input. Our work leverages stochastic and spatially-extended models, breaking new ground in the fields of mathematical neuroscience, nonlinear waves, and stochastic processes. Key to this work is the close interaction we have with our experimental collaborators whose labs: (a) record and images propagating activity in cortical tissue; (b) administer decision-making tasks to humans and non-human primates while simultaneously imaging neural activity as well as taking pupillometric readings; and (c) identify mechanisms underlying swarm intelligence in house-hunting honeybees.
stochastic processes in spatiotemporal systems, large-scale neuronal network dynamics, probabilistic inference models of decision making, nonlinear analysis of waves and patterns in partial differential equations, data-driven modeling of neuronal networks underlying sensory processing, motor output, working memory