Work and Thinking
This page contains data related to mathematics from myself and my instructors.
Theses
Graduate Thesis
(supervised by Professor Søren Eilers)
Thesis: C*-algebras of Left Cancellative Small Categories with Garside Families .
Presentation Slides:
Full version: C*ALCSCG Presentation (full) ;
Brief version: C*ALCSCG Presentation (brief) .
Undergraduate Thesis
(supervised by Associate Professor Bochen Liu)
Thesis: Harmonic Analysis and Hausdorff Dimension ;
Presentation Slides: HAHD Presentation .
Notes
Notes on The Categorical Origins of Lebesgue Integration by Tom Leinster (Handwritten)
Handwritten notes: Notes on The Categorical Origins of Lebesgue Integration
Original Paper: A categorical derivation of Lebesgue integration
Notes on Fourier Analysis, an Introduction by Stein and Shakarchi with partial solutions (Handwritten)
Handwritten notes:
Reference book: Fourier Analysis, an Introduction
Partial Solutions
*For convenience, I also uploaded a copy of notes and partial solutions on Zhihu, you can click here to view it.
Notes on Introduction to Representation Theory Course by Associate Professor Jasmin Matz
Notes on Groups, Operator Algebras and Dynamics Course by Professor Magdalena E. Musat
Notes on Graduate Partial Differential Equations by Associate Professor Linlin SU (Handwritten)
Handwritten Notes:
Reading and thinking
Connections between the topological limit and categorical limit