Yan's Math Site


Graduate Student
UCLA Mathematics Department
Los Angeles, CA, USA 90095-1555
Office Math Sciences 3903
Office Hours See Course Page
E-Mail ytao at math .ucla .edu

I am a fifth-year PhD student at UCLA studying knot theory and low-dimensional topology under Sucharit Sarkar.

Research

I am currently working on invariants related to the link Floer stable homotopy type. Here is a list of my papers:

  • "A Steenrod Square for Link Floer Homology"
    Qualifying Exams

    I have passed both of my qualifying exams upon entry into the program. Below are past exam questions that I solved in preparation.

    Teaching
    • Fall 2025: Math 33B
    • Spring 2025: Math 31B
    • Winter 2025: Math 32B
    • Fall 2024: Math 33B
    • Summer 2024: Math 32A (Multivariable Calculus)
    • Spring 2024: Math 33B
    • Winter 2024: Math 31A (Intro to Calculus)
    • Fall 2023: Math 33B
    • Summer 2023: Math 32B
    • Spring 2023: Math 120B (Differential Geometry)
    • Winter 2023: Math 171 (Stochastic Processes)
    • Fall 20wq: 22: Math 120A (Differential Geometry)
    • Summer 2022: Math 170E (Intro to Probability)
    • Spring 2022: Math 33B
    • Winter 2022: Math 61 (Discrete Math)
    • Fall 2021: Math 33B (Differential Equations)
    • Fall 2021: Math 32B (Multivariable Calculus)
    About Me
    -->
    • asdgsgg