Research Interests: 


My overall research interest lies in applied mathematics. I enjoy studying models of physical phenomena in any field, exploring the mathematical intricacies, and then computing the numerical solutions in the hopes of contributing to a real-life situation.

To sum up my research philosophy and goals in three words:
Modeling, Theory, Applications. 



Journal Articles

  1. On the existence of Optical Vortices in Saturable nonlinear media, Journal of Mathematical Physics (2017). DOI: 10.1063/1.4974316
  2. Pull-in Curves of MEMS Actuators in Presence of Casimir Force: Analysis and ComputationZeitschrift für Angewandte Mathematik und Mechanik (2016) [with Brenda McLellan, Chenmei Xu, and Yisong Yang]. DOI: 10.1002/zamm.201500013
  3. Vortex Equations Governing the Fractional Quantum Hall EffectJournal of Mathematical Physics (2015). DOI: http://dx.doi.org/10.1063/1.4931660
  4. Universal curve, biological time, and dynamically varying scaling exponent in growth law, Nonlinear Analysis: Real World Applications (2010) [with Yisong Yang]. DOI: http://dx.doi.org/10.1016/j.nonrwa.2008.11.011


Invited Colloquia and Seminar Talks

  1. Nonlinear Analysis and PDEs, CUNY Grad Center, 365 Fifth Avenue, NYC,  Tuesday 1:00 pm -3:00 pm, Feb. 10, 2015  
  2. Mathematical Physics, Fourier Analysis, and Applications Seminar, CUNY Grad Center, 365 Fifth Avenue, NYC,  Friday 4:00 pm -5:00 pm, April 24, 2015