Videos


  1. Thirty-Six Lectures on Equivariant Cohomology

    In the spring of 2017, I gave a series of thirty-six lectures on equivariant cohomology at National Taiwan University and National Center for Theoretical Sciences (NCTS), Taipei, Taiwan. NCTS taped and uploaded them to YouTube. The sound quality is good, but it is usually impossible to see what's written on the blackboard. Some lectures were not complete, for example, Lecture 2. I put a link to the lectures here, because some students have found them helpful. You can find most of the lectures by searching for "An Introduction to Equivariant Cohomology". Everything in the lectures is in my new book Introductory Lectures on Equivariant Cohomology , Annals of Mathematics Studies 204, Princeton University Press, Princeton, NJ, 2020. The chapters of the book correlate fairly closely with the lectures.

  2. Twenty-Nine Lectures on Differential Forms in Algebraic Topology

    In the spring of 2024, I gave a series of twenty-nine lectures on differential forms in algebraic topology at National Taiwan University and National Center for Theoretical Sciences (NCTS), Taipei, Taiwan. NCTS taped and uploaded them to YouTube. The video quality is much improved over the equivariant cohomology lectures from 2017. The lectures start simply with differential forms on R^n and end with the Leray spectral sequence of a fiber bundle. They correspond roughly to the first three chapters of the book Differential Forms in Algebraic Topology , coauthored with Raoul Bott, 3rd printing, Springer, 1995. The lecture notes are here:

    Lectures 1--9

    Lectures 10--13

    Lectures 14--16

    Lectures 17--23

    Lectures 24--29
    3. The homework assignments are here:

    Homework


  3. Speech at the Charles Tu Symposium, UCSD

    Charles Tu is my elder brother. This symposium was in his honor on the occasion of his retirement from the University of California at San Deigo (UCSD) on June 2, 2018. He was Professor and Chair of the Department of Electrical and Computer Engineering and Associate Dean of the Jacob School of Engineering at UCSD. I spoke about the trials and tribulations of having a superachieving older brother.


    Charles Tu, Promoting Research and Education Runs in His Blood (in Chinese), in Today Weekly , a Taiwanese news magazine, August 26, 2019, pp. 102--104.