Math diary
Welcome to my math diary
This is a place for me to record the math I’m thinking about, and to practice explaining it. I stole the math diary idea from @Right_Inverse. I’m also forever inspired by John Baez and his classic blog this weeks finds, which I find myself referencing every now and again. it is very slapdash and unedited, but perhaps the explanations would be interesting to a hypothetical someone. The entries with explanations are the ones with titles in the index below.
Index
May 12, 2024
Euler-Maclauren formula and Riemann Roch
May 10, 2024
Spinors on Riemann Surfaces
May 09, 2024
Riemann roch
Mar 02, 2024
Fubini-Study boot camp
Dec 28, 2023
Symplectic linear algebra and Gershgorin's circle theorem
Nov 24, 2023
Polygons, representations, and eigenvalues: The problems
Aug 29, 2023
Euler's euqation is wacky
Jul 16, 2023
Witten's morse theory
Jul 08, 2023
50 ways to be a 2-sphere
Jun 09, 2023
Bellinson-Bernstein localization
Jun 03, 2023
Borel-Weil theory mark 3
May 28, 2023
Borel-Weil theory, quantizing spin, and spheres.
May 28, 2023
Morse theory on coadjoint orbits
May 24, 2023
Index theorem as infinite-dimensional equivariant localization
May 20, 2023
Borel-Bott-Weil and analytic methods on Lie group representation theory
May 10, 2023
Elliptic operator theory yoga
May 06, 2023
Geometry on the space of functions, and conformal transforms
May 02, 2023
Proof of the index theorem
May 01, 2023
Quasimaps and loop spaces
Apr 30, 2023
Goals for a math diary