Office Location: MS 7919

Mailing Address: UCLA Department of Mathematics, 520 Portola Plaza, Box 951555, Los Angeles, CA 90095-1555

Teaching

Fall 2024 Math 226B: Symplectic Geometry Math 290F: Participating Topology Seminar	Spring 2024 Math 225C: Algebraic Topology             Schedule Math 290F: Participating Topology Seminar
Winter 2024 Math 121: Introduction to Topology             Schedule Math 290F: Participating Topology Seminar	Fall 2023 Math 226B: Fukaya Categories Math 290F: Participating Topology Seminar
Spring 2022 Math 226B: Symplectic Geometry Math 290F: Participating Topology Seminar	Winter 2022 Math 121: Introduction to Topology             Schedule Math 290F: Participating Topology Seminar
Fall 2021 Math 225A: Differentiable Manifolds Math 290F: Hilbert schemes on surfaces (Wed seminar) Math 290F: Topology seminars on Fridays	Winter 2021 Math 235: Fukaya Categories Math 290F: Participating Topology Seminar
Fall 2020 Math 115A: Linear Algebra             Schedule Math 225A: Differentiable Manifolds Math 290F: Participating Topology Seminar	Spring 2020 Math 115A: Linear Algebra             Schedule Math 290F: Participating Topology Seminar
Winter 2020 Math 225B: Differentiable Manifolds Math 290F: Participating Topology Seminar	Winter 2019 Math 234: Contact Geometry             Notes for first half (3-dimensional part) of the course             Notes for second half of the course (h-principles, etc)             Joe Breen's talk on Liouville & Weinstein domains             Austin Christian's talk on symplectic fillings & Lefschetz fibrations Math 290F: Participating Topology Seminar

Research

• Preprints and Papers
• Graduate students:
  
• David Crombecque (Ph.D. 2006)
• Roman Golovko (Ph.D. 2009)
  
• Sandra Ritz (Ph.D. 2010)
  
• Supap Kirtsaeng (Ph.D. 2010)
  
• Yang Huang (Ph.D. 2012)
  
• Russell Avdek (Ph.D. 2013)
  
• Yin Tian (Ph.D. 2014)
  
• Andrew Williams (Ph.D. 2015)
  
• Bahar Acu (Ph.D. 2017)
  
• Michael Menke (Ph.D. 2018)
  
• Bin Tian (Ph.D. 2018)
  
• Jacob Rooney (Ph.D. 2018)
  
• Sangjin Lee (Ph.D. 2019)
  
• Austin Christian (Ph.D. 2021)
  
• Tianyu Yuan (Ph.D. 2021)
• Joe Breen (Ph.D. 2022)
• Eilon Reisin-Tzur (Ph.D. 2023)
  
• Roman Krutowski
• Jung Joo Suh

Course Notes

• Differential geometry course notes (first semester)
• Homework for the course
  
• Differential geometry course notes (second semester)
• 3-dimensional contact geometry course notes
• Complex analysis course notes
• Topological quantum field theory (TQFT) course notes (i.e., guide to reading Kohno's book)

Last modified: August 8, 2024.