Expository Lectures:

Functional Inequalities and Their Applications,
Bridge to Research Seminar, Purdue, Apr. 2021

Theory and Applications of Gradient Flow Dynamics,
National Cheng Kung University, Taiwan, Dec. 2019

Dynamics on Inhomogeneous Media,
University of Chester, UK and University of Alabama, Sept. 2019

Mathematical Analysis of Thresholding Dynamics,
Hong Kong University of Science and Technology, Hong Kong, July. 2017

From Discrete to Continuous -- Applications of Variational Concepts in Singularly Perturbed Time Dependent Problems,
Pizza Seminar on Applied Mathematics, Purdue, Apr. 2011

Applications of Singular Perturbations in Calculus of Variations,
Bridge to Research Seminar, Purdue, Nov. 2010

How Can Random Noise Help Us?,
Kappa Mu Epsilon Mathematics Club, Central Michigan University, Mar. 2009

MATH 108 - Mathematics as a Profession and Discipline, Purdue
Theory and Applications of Optimal Transportation, Nov 2021
The Wonderful World of Markov Chains, Dec 2019
Some Aspects of Linear Algebra, Dec 2018
Some Aspects of Curvature of Curves and Surfaces, Dec 2017

Special Topic Courses for Students:

MA 543: Introduction to Ordinary Differential Equations and Dynamical Systems, Spring 2016, Spring 2018, Spring 2020
MA 598: Introduction to Motion by Mean Curvature, Fall 2017
MA 598: Introduction to Gamma Convergence, Spring 2013
MA 490: Introduction to Partial Differential Equations, Spring 2012
MA 598: Applications of Weak Convergence Methods in Nonlinear Partial Differential Equations, Fall 2011

Graduate Independent Studies:
Introduction to Optimal Transport and Applications (Summer 2021, Fall 2021)
Dynamical System and Satellite Mission Design (Fall 2018, Spring 2019)
Stochastic Analysis and Multi-scale Problems (Fall 2016)
Introduction to Chaotic Dynamical Systems (Summer 2016)
Introduction to Geometric Measure Theory (Spring 2009)
Stochastic Analysis and Multi-scale Problems (Summer 2008)
Minimax Methods and Critical Point Theory (Fall 2005)
Variational Methods in Partial Differential Equations (Fall 2004)

Undergraduate Independent Studies:
Introduction to Mathematical Epidemiology (Fall 2020)
Dynamical Systems and Mathematical Biology (Fall 2015 - Spring 2016)
Random Walks in Inhomogeneous Medium (Spring 2008)
Random Walks in Physics and Biology (Spring 2003)