## Assistant Professor

Department of Mathematics

California State University, San Marcos

bjoshi at csusm dot edu

Science Hall II, Room 317

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.

Teaching

- In Fall 2015:

- Linear Algebra (374)
- Applicable Analysis (538)
- In Spring 2016:

- Mathematical Biology (448)
- Mathematics of Reaction Networks (490)

Travel

- Workshop: Trends in Reaction Network Theory, Copenhagen, Jul 2015
- AMS Central Sectional, Loyola University, Chicago, Oct 2015
- Workshop on Mathematics of Reaction Networks, University of Wisconsin-Madison, Oct 2015
- Southern California Probability Symposium, UC Irvine, Dec 2015
- Seminar on Mathematics of Biochemical Reaction Systems, UC Berkeley, Jan 15 & 18, Jan 2016
- Dynamics in networks with special properties, Mathematical Biosciences Institute, Ohio State, Jan 2016
- Workshop on Global Attractor Conjecture, San Jose State, Mar 11-13 2016
- Tulane University, New Orleans, Mar 2016
- AMS Western Sectional, University of Utah, Apr 9-10 2016
- SIAM Conference on Life Sciences, Boston, Jul 2016
- American Institute of Mathematics, San Jose, Oct 2016

Refereed Articles

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.

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)

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,

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

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).

Preprints Order of magnitude time-reversible Markov chains and characterization of clustering processes. arXiv