I am an assistant professor in the Department of Mathematics at the University of Louisiana at Lafayette. I received my Ph.D. in math from the University of Wisconsin-Madison, under the supervision of Gheorghe Craciun and Chanwoo Kim. Before joining UL Lafayette, I was a Zassenhaus Assistant Professor in the Department of Mathematics at The Ohio State University under the mentorship of Marty Golubitsky.

My research lies in Reaction Systems, Homeostasis in input-output networks, Kinetic theory, and Reaction-Diffusion Systems.

• A Reaction Network is a set of reactions that leads to the chemical transformation of one set of chemical substances to another. The substance (or substances) initially involved in a chemical reaction are called reactants or reagents. Chemical reactions are usually characterized by a chemical change and often consist of a sequence of elementary reactions. A Reaction System is described with chemical equations presenting the starting materials, end products, and sometimes intermediate products and reaction conditions.

• Homeostasis is the state of steady internal, physical, chemical, and social conditions maintained by living systems in biology. This is the condition of optimal functioning for the organism and includes many variables, such as body temperature and fluid balance, being kept within certain pre-set limits (homeostatic range). Each of these variables is controlled by one or more homeostatic mechanisms, which together maintain life.

• The Kinetic theory of gases is a model of the thermodynamic behavior of gases. The model describes a gas as a large number of identical submicroscopic particles (atoms or molecules), all of which are in constant, rapid, random motion. The kinetic theory of gases explains the macroscopic properties of gases, such as volume, pressure, and temperature, as well as transport properties such as viscosity, thermal conductivity, and mass diffusivity.

• Reaction–Diffusion Systems are mathematical models that mostly correspond to the change in space and time of the concentration of one or more chemical substances: Local Reactions and Diffusion which causes the substances to spread out over a surface in space. Reaction-diffusion systems are naturally applied in chemistry. Mathematically, reaction-diffusion systems take the form of semi-linear parabolic partial differential equations. 

More about my research interests and publications.