**Research Interest:**

Smooth/symplectic topology in dimension four, symplectic topology in dimension six.

The Seiberg-Witten invariants of 4-manifolds and the count of J-holomorphic curves in 6-manifolds are the basic tools to get
information about these structures.

Research interest expands to the related topics such as contact topology, surface bundles and mapping class groups.

**Teaching:**

Math 537 Algebraic Topology

Math 543 Low Dimensional Topology

Math 118 Calculus II Summer 2018

Math 219 Introduction to Differential Equations Fall 2014

Math 112 Discrete Mathematics Spring 2014

Math 126 Basic Mathematics Spring 2014

Math 420 Elementary Point Set Topology Fall 2012

Math 535 Topology Fall 2009

Math 261 Linear Algebra I Spring 2009

Math 304 History of Mathematical Concepts II Spring 2009

Math 303 History of Mathematical Concepts I

Math 541 Differential Topology Fall 2008

Math 260 Basic Linear Algebra

Math 120 Calculus for Functions of Several Variables

Math 119 Calculus with Analytic Geometry

Math 116 Basic Algebraic Structures