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Research supervision: I do research projects with students and postdocs in topology, geometry, knot theory or computational topology/geometry. The projects can be theoretical or involve programming.

PhD students graduating in Fall 2025: Jaeyun Bae, Touseef Haider. For past students and postdocs, see CV at the front page.

I have also served as a faculty mentor for students through various programs, e.g. Garden State LS Alliance for Minority Participation, Association for Women in Mathematics, etc. According to U.S. News & World Report, Rutgers–Newark is the most diverse national university in the United States.

Teaching

Here are the evaluations from my recent graduate course at Rutgers, my recent low division undergraduate course for math majors at Rutgers, recent higher division undergraduate course for math majors at Rutgers, and an undergraduate course at UC Davis (higher division).

Current/recent courses at Rutgers-Newark

Fall 2025 – Spring 2026: I will teach Topology course (graduate, ends with the qualifying/prelim exam required for all PhD students at our department)

Spring 2025: Topics in topology, geometry and computational complexity in dimension 3 (graduate)

Math Seminar (undergraduate, focused on hyperbolic geometry and topology of surfaces and 3-manifolds)

Fall 2024: Topology I (undergraduate course)

Spring 2023: Probability and Statistics, see Canvas website for course materials

Fall 2022: Undergraduate Math Seminar. Syllabus.

Advanced Topics in Topology (graduate course). Syllabus.

Spring 2022: Advanced Calculus II. Syllabus.

Fall 2021: Applied Calculus. Syllabus. Other materials are at Canvas website.

Spring 2020: Geometry, topology and complexity of 3-manifolds (graduate course). Syllabus.

Fall 2019: Foundation of Modern Math. Syllabus. All other materials are available at Blackboard website for registered students.

Spring 2017: Undergraduate Seminar in Knot Theory. Syllabus.

Fall 2016: Calculus II. Syllabus. All other materials are available at Blackboard website for registered students.

I have also taught at the University of Tennessee, Louisiana State University, University of California – Davis, and OIST, Japan. For the full list of the courses, see my CV (link at the front page).