Below are courses taught at the California Institute of Technology from 2023 to 2026.
Spring 2025–26: Ma 109c (Introduction to Geometry and Topology)
- This is the undergraduate differential topology course. I mainly followed Guillemin and Pollack's differential topology book.
- Syllabus
- Lecture notes:
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- Problem sets:
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- Midterm exam
- Final exam
Fall 2025–26: Ma 109a (Introduction to Geometry and Topology)
Spring 2024–25: Ma 109c (Introduction to Geometry and Topology)
Spring 2024–25: Ma 157c (Topics in Geometry and Topology)
- I chose to talk about Lie groups. I followed Brian Hall's Lie groups book and Kirillov's Lie groups lecture notes.
- Syllabus
- Problem sets:
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Fall 2024–25: Ma 191a (Selected Topics in Mathematics)
- This was a course where I got to talk about my research interests. I talked about metric embeddings.
- Syllabus
Spring 2023–24: Ma 109c (Introduction to Geometry and Topology)
Spring 2023–24: Ma 157b (Riemannian Geometry)
- I chose to talk about metric geometry. I followed Burago-Burago-Ivanov's metric geometry book and later talked about Heinonen-Koskela-Shanmugalingam-Tyson's Sobolev spaces on metric measure spaces book.
- Syllabus
Last updated September 1, 2026