## Assistant Professor

Department of Mathematics

California State University, San Marcos

bjoshi at csusm dot edu

Craven Hall, Room 6226

Professional Trajectory

- 2013-present: Assistant Professor at California State University, San Marcos.
- 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.

Recent and upcoming Teaching

- In Fall 2017:

- Calculus with Applications, III (260)
- Basic Discrete Mathematics (270)
- Linear Algebra (374)
- In Spring 2017:

- Calculus with Applications, II (162)
- Linear Algebra (374)
- Measure Theory (530)
- In Fall 2016:

- Calculus with Applications, II (162)
- Linear Algebra (374)
- Introduction to Optimization (480)
- In Spring 2016:

- Mathematical Biology (448)
- Mathematics of Reaction Networks (490)
- In Fall 2015:

- Linear Algebra (374)
- Applicable Analysis (538)

Talks Mathematical Biosciences Institute (MBI) makes a video recording of talks, many of which are available on their website. Here is a video of a talk I gave at MBI on Multistationarity in Reaction Networks in January 2016. Here are the slides for the talk.

Research Publications

Which small reaction networks are multistationary?,with Anne Shiu,SIAM Journal on Applied Dynamical Systems, Vol. 1618, No.2, pp.802-833 (April 2017). arXiv.

Modeling the Evolving Oscillatory Dynamics of the Rat Locus Coeruleus Through Early Infancy, with Mainak Patel,Brain Research, 1618, pp. 181-193 (August 2015).

A survey of methods for deciding whether a reaction network is multistationary, with Anne Shiu,Chemical Dynamicsspecial issue of Mathematical Modelling of Natural Phenomena, 10, pp. 47-67 (published online - August 2015) arXiv.

A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced, Discrete and Continuous Dynamical Systems - Series B, 20, pp. 1077-1105 (June 2015) arXiv,

Encoding Whisker Deflection Velocity within the Rodent Barrel Cortex using Phase-Delayed Inhibition, with Runjing Liu and Mainak Patel, Journal of Computational Neuroscience, 37, pp. 387-401 (December 2014)

Switching mechanisms and bout times in a pair of reciprocally inhibitory neurons, with Mainak Patel. Journal of Computational Neuroscience, 36, pp. 177-191 (February 2014).

Decoding synchronized oscillations within the brain: phase-delayed inhibition provides a robust mechanism for creating a sharp synchrony filter, with Mainak Patel. Journal of Theoretical Biology, 334, pp. 13-25 (October 2013). Preprint version (contains supplementary information)

Encoding with synchrony: phase-delayed inhibition allows for reliable and specific stimulus detection, with Mainak Patel. Journal of Theoretical Biology, 328, pp. 26-32 (July 2013).

Complete characterization by multistationarity of fully open networks with one non-flow reaction. Applied Mathematics and Computation, 219:12, pp. 6931-6945 (February 2013). arXiv

Atoms of multistationarity in chemical reaction networks, with Anne Shiu. Journal of Mathematical Chemistry, 51:1, pp. 153-178 (2013). arXiv

Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks, with Anne Shiu. SIAM J. Appl. Math., 72:3, pp. 857-876 (2012). arXiv

Order of magnitude time-reversible Markov chains and characterization of clustering processes(October 2011). arXiv

A doubly stochastic Poisson process for wake-sleep cycling, Ph.D. Dissertation, July 2009.

On immunotherapies and cancer vaccination protocols: A mathematical modelling approach, with Xueying Wang, Sayanti Banerjee, Haiyan Tian, Anastasios Matzavinos, and Mark A.J. Chaplain. Journal of Theoretical Biology, 259:4, pp.820-827 (August 2009).

Developmental emergence of power-law wake behavior depends upon the functional integrity of the Locus Coeruleus, with Andrew Gall, Janet Best, Virginia R. Florang, Jonathan A. Doorn and Mark Blumberg. Sleep, 32:7 (2009).