Instructor

Fall 2023

• Fourier Analysis
  Lecture Notes | Lecture 1 | Lecture 2

Summer 2023

• Metric Spaces
  Lecture Notes | Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Lecture 7

Spring 2023

• Geometry of Surfaces
  Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Lecture 7 | Lecture 8 | Homework
• Groups and Symmetries
  Lecture Notes | Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Lecture 7 | Lecture 8 | Lecture 9

Teaching Assistant

Summer 2024

• Summer School on Differential Geometry
  Website | Comp.Geom. | Riem.Geom. | Elliptic PDE

Spring 2024

• Advanced Math B
  Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Mid24 | Final24 | A-Final24

Fall 2023

• Mathematical Analysis III
  Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Lecture 7 | Midterms | Final
• Advanced Math B
  Lecture 1 | Lecture 2 | Lecture 3 | Lecture 4 | Lecture 5 | Lecture 6 | Mid21 | Mid22 | Mid23 | A-Mid23 | Mid24 | Final20 | Final21 | Final22 | Final23 | A-Final23

Summer 2023

• Summer School on Differential Geometry
  Website | Comp.Geom. | Riem.Geom. | Elliptic PDE

Spring 2023

• Mathematical Analysis II
  Exercise | Midterms | Final | Ellip. Int. | WAT | Fourier Series | Final24
• Advanced Math B
  Lecture 1 | Lecture 2 | Lecture 4 | Lecture 5 | Lecture 6 | Example | B-Final | Final21 | Mid22 | Final22 | Mid23 | Final23

Fall 2022

• Mathematical Analysis I
  Exercise | Midterms | Final

Summer 2022

• Summer School on Differential Geometry
  Website | Comp.Geom. | Riem.Geom. | Elliptic PDE

Spring 2022

• Arithmetic of Elliptic Curves
  Files
• Diophantine Approximation
  Files

Fall 2021

• Mathematical Analysis I
  Exercise | Midterms | Final | Mid2021

Spring 2021

• Functional Analysis
  Midterms | Final

Fall 2020

• Advanced Math C
  Final | Mid21 | Mid22 | Mid24 | Final23