This page contains data related to mathematics from myself and my instructors.
Work
My academic CV
My notes on Lecture Notes on Measure Theory and Integrals by the late Professor CHEN Anyue (not completed and updating)
Notes on overleaf:
Measure Theory and Integrals Lecture Notes
My notes on The Categorical Origins of Lebesgue Integration by Tom Leinster
PDF version of the original paper:
https://arxiv.org/pdf/2011.00412.pdf
My handwritten notes:
Notes on The Categorical Origins of Lebesgue Integration.
Fourier Analysis an Introduction by Stein and Shakarchi
PDF version of the text book:
Fourier Analysis: an Introduction.pdf
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 to Exercises and Problems in the textbook:
Partial Solutions Part 1,
Partial Solutions Part 2,
Partial Solutions Part 3.
For convenience, I also uploaded a copy of notes and partial solutions on Zhihu, you can click here to visit it.
Graduate Partial Differential Equations Notes by Prof. SU Linlin
Handwritten Notes:
Graduate PDE Notes 1,
Graduate PDE Notes 2,
Graduate PDE Notes 3,
Graduate PDE Notes 4.
Introduction to Representation Theory Notes by Prof. Jasmin Matz
IntroRep Notes.
Groups, Operator Algebras and Dynamics Notes by Prof. Magdalena Elena Musat
GOADyn Notes.
Undergraduate Thesis supervised by Prof. Bochen Liu
Thesis:
Harmonic Analysis and Hausdorff Dimension;
Presentation Slides:
HAHD Presentation.
Graduate Thesis supervised by Prof. 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).
Thinking
PDF Notes: Connections between the topological limit and categorical limit.
