Teaching

Full Courses


University of Science of Technology of China, Spring 2024, MATH6347P

Description: This is a graduate-level course on the introduction of basic concepts, results, and techniques in modern symplectic geometry. 


University of Science of Technology of China, Spring 2023, MATH6345P

Description: This is a graduate-level course on the introduction of basic concepts, results, and techniques in modern symplectic geometry. 


McGill University, Winter 2020. 

Description: This is an introductory level of calculus, including the following topics: exponents and radicals, exponential, and logarithm. Examples of functions in business applications. Limits, continuity, and derivatives. Differentiation of elementary functions. Antiderivatives. The definite integral. Techniques of Integration. Applications of differentiation and integration including differential equations. Trigonometric functions are not discussed in this course. 

--- syllabus and course materials


Tel Aviv University, Spring 2018. 

Description: This is a seminar course aiming to understand how microlocal sheaf theory (developed by Guillermou and Kashiwara-Schapira in [KS90], [GKS12], [GS14]) can be used in symplectic geometry. Our course starts with a detailed understanding of the Tamarkin category that is introduced by Tamarkin in [Tam08]. Then we notice that many symplectic geometry concepts and objects can be elegantly transferred into the Tamarkin category and concisely packaged in the language of sheaves and various associated operators. Moreover, we will see how this theory can be used to prove some landmark results in symplectic geometry, including the Lagrangian-Arnold conjecture, non-degeneracy of Hofer's metric (on cotangent bundle), and Gromov's non-squeezing Theorem. Their proofs closely follow Asano-Ike's paper [AI17] and part of Chiu's paper [Chiu17]. Last but not least, the relation between the Tamarkin category and persistent homology is emphasized along the course.  

--- Part of the lecture note of this course is included in the preprint [Zha18] and published monograph. 


University of Georgia, Fall 2015 and Fall 2013.

Description: This course is designed to prepare a student for calculus. It is the culmination of the study of function prior to calculus. The successful student will complete an algebra review, a detailed study of functions and models, and study of specific functions including powers, exponentials, logarithms, rational functions, and trigonometric functions; and demonstrate an understanding of each of the materials in different levels of exams.

--- syllabus and course materials


University of Georgia, Summer 2015 and Spring 2014.

Description: A primary goal is to develop an understanding of the limit and the derivative both conceptually and operationally. The student will need to learn how to use calculus concepts to model and solve various typical problems in science and engineering, with particular emphasis on graphs, optimization problems, and basic integration problems. The student will also learn to set up word problems clearly and concisely and to provide clear solutions. Additional goals include the development of reasoning and problem-solving skills. Finally, you develop your ability to work together with colleagues and develop communication skills through in-class group quizzes and their writeup.

--- syllabus and course materials


TA/Grader 

University of Georgia, 2011 to 2016.

Partial Differential Equation, Algebraic Topology, Real Analysis, Complex Analysis, Number Theory.