Columbia Undergraduate Math Society

Spring 2025 <<  Summer 2025 Learning Seminar  >> Fall 2025

Weekly Meetings: Thursdays, 5pm EST, on Zoom
Recordings are posted here.
Topic: Fourier Analysis, Reference: Stein & Shakarchi "Fourier Analysis"[S&S]
Contact UMS (Email Joseph Rowland McGill)
Sign up for weekly emails

Date Speaker Title Reading Abstract
July 17
UMS Officers
Introduction NIL
We will first introduce Summer UMS and then decide on the logistics, topic, speakers, and general plan for this year's seminar. We will also be taking volunteers to give talks during the meeting. If you would like to give a talk or participate in the seminar in general but cannot attend this week, please email Joseph Rowland McGill.
July 24
Yiming Song
Waves and Fourier analysis [S&S] ch 1 (pg 1-22) We will motivate Fourier analysis with some fun, classical examples by thinking about waves. Then we will give a preview of some cool results and applications of Fourier analysis. 
July 31
TBD
Basic Properties of Fourier Series [S&S] ch 2 (pg 29-58)
 
August 7
TBD
Convergence of Fourier Series [S&S] ch 3 (pg 69-87)
 
August 14
TBD
Some Applications of Fourier Series [S&S] ch 4 (pg 100-120)
 
August 21
TBD
The Fourier Transform on R [S&S] ch 1 (pg 129-161)
 
August 28
TBD
The Fourier Transform on R^d [S&S] ch 1 (pg 175-207)
 
designed by Nilay Kumar, maintained by Jon Kwong