- 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.
- In Fall 2015:
- Linear Algebra (374)
- Applicable Analysis (538)
- In Spring 2016:
- Mathematical Biology (448)
- Mathematics of Reaction Networks (490)
- 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
- Math Seminar, CSU Northridge, Nov 2015
- Southern California Probability Symposium, UC Irvine, Dec 2015
- Mathematical Biosciences Institute, Ohio State University, Jan 2015
- AMS Western Sectional, University of Utah, Apr 2016
- World Congress of Probability and Statistics, Fields Institute, Toronto, Jul 2016
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 Dynamics special 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)
- 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).
- Atoms of multistationarity in chemical reaction networks, with Anne Shiu. Journal of Mathematical Chemistry, 51:1, pp. 153-178 (2013).
- Simplifying the Jacobian criterion for precluding multistationarity in chemical reaction networks, with Anne Shiu. SIAM J. Appl. Math., 72:3, pp. 857-876 (2012).
- 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).
- Order of magnitude time-reversible Markov chains and characterization of clustering processes. arXiv