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Department of Mathematics
California State University, San Marcos
bjoshi at csusm dot edu
Science Hall II, Room 351
Office hours for Fall 2013: MW 1000-1130
- 2012-2013: Postdoctoral Fellow at University of Minnesota.
- 2009-2012: Assistant Research Professor at Duke University.
- In 2009, I completed a PhD in Mathematics at Ohio State University.
- In 2004, I received an MS in Physics from the Ohio State University.
Research:My research area is Mathematical Biology. I use probability and dynamical systems to study neuronal networks and biochemical reaction networks.
I am interested in questions related to multistationarity in biochemical reaction networks (see 1, 2, 3).
In neuroscience, I am interested in the specific behaviors related to sleep and development (see 4).
I am interested in neuronal architectures responsible for encoding of signals using synchrony and network structures responsible for decoding synchronous inputs. I have conducted a detailed mathematical study of the widely occurring architecture responsible for synchrony detection, which we call “phase-delayed inhibition” (see 5, 6). I am also conducting an investigation of reciprocal inhibition as a neuronal mechanism for stochastic switching (see 7).
You can find a complete list of my publications here. For a detailed description of my research, visit here.
Teaching:In Fall 2013, I am teaching Introduction to Statistics and Applied Nonlinear Dynamics. I like teaching a wide variety of mathematics classes, including ones oriented towards applications. You can find my complete teaching experience here.