Expository Notes
Notes from myself and instructors which I found useful.
The Categorical Origins of Lebesgue Integration
Original paper:
A categorical derivation of Lebesgue integration
Author: Tom Leinster;Handwritten notes:
Notes on The Categorical Origins of Lebesgue Integration
Introduction to Representation Theory (Course)
- Instructor: Jasmin Matz
- Notes: IntroRep Notes
Groups, Operator Algebras and Dynamics (Project)
- Instructor: Mikael Rørdam and Magdalena Musat
- Notes: GOADyn Notes
Graduate Partial Differential Equations (Course)
- Instructor: Linlin Su
- Handwritten Notes:
Graduate PDE Notes 1
Graduate PDE Notes 2
Graduate PDE Notes 3
Fourier Analysis, an Introduction
- Original book: Fourier Analysis, an Introduction
Author: Elias M. Stein and Rami Shakarchi - Handwritten notes:
Fourier Analysis Notes 1
Fourier Analysis Notes 2
Fourier Analysis Notes 3
Fourier Analysis Notes 4
Fourier Analysis Notes 5
Fourier Analysis Notes 6
Fourier Analysis Notes 7 - Partial solutions:
Partial Solutions Part 1
Partial Solutions Part 2
Partial Solutions Part 3
Theses
Graduate thesis
C*-algebras of Left Cancellative Small Categories with Garside Families
(supervised by Søren Eilers)
- Presentation Slides:
C*ALCSCGF Presentation (full);
C*ALCSCGF Presentation (brief)
Undergraduate thesis
Harmonic Analysis and Hausdorff Dimension, a Brief Survey
(supervised by Bochen Liu)
- Presentation Slides:
HAHD Presentation
Papers & Preprints
This section will be updated as work is completed and made available.
Mathematical Explorations
Occasionally I write about mathematics I find beautiful or surprising, including worked examples, alternative proofs, and connections between different areas.
- Connections between Topological and Categorical Limits — A note exploring how convergence of filters in topology corresponds to categorical limits.