Current Activities
This page is as much of a status update as a personal agenda/reminder......
Updated 04/09/2016
Work
studying a version of the 2d(genus 0 surface) inverse spectral problem for/with Prof. Vouga. some preliminary results are here.
still tagging along Prof. Neitzke's Higgs Bundle, Prof. BenZvi's AG, Prof. Allcock's Kac-Moody algebra, and Prof. Perutz's Riemann Surfaces classes.
It has been a trip!
Arun's live-TeX notes summarizes some of these courses' spirits pretty well.
Readings (mildly hindered by a lack of UT library privileges)
Topology!
never gonna give May's super concise course up
still around chapter 2 of Adam's infinite loop spaces
intermittently reading Bott and Tu's forms in AT, Milnor's char classes, cohomology operations, the wild world of 4 mflds, algebraic operads ...
discrete/combinatorial/computational Geometry
Prof. Keenan Crane's Discrete Differential Geometry notes was gr8
was working on Bobenko & Suris' DDG book. Nets!
also was reading "Using the Borsuk-Ulam theorem"
Algebraic Geometry
BenZvi's lectures have been super helpful
about to work through Shafarevich and Hartshorne again now equipped with more topology and intuitions...
started bits and pieces (mostly the chapter about Gröbner basis) of Eisenbud's Comm. Alg.
picking up Viosin's Hodge theory book again
Other
reading about topological signal processing and how sheaf cohomology is useful for that
started some noncommutative geometry notes online
reading Daniel Chupin's undergrad thesis on heat kernel proof of the AS index theorem
continue Lieb & Seiringer's stability of matter in QM
review readings and notes from Freed's K-theory class, particularly the parts about Clifford algebra and rep/Lie theory. also Atiyah's K-theory
review notes from Gompf's 4-mfd class and his book, complementing with Akbulut's lecture notes, aiming to get Kirby calculus down better
review notes and references from Gunningham's D-module class
same for Blumberg's Homotopy type theory class from wayyy back, maybe catch up some recent results
skimming through Hawkin's Emergence of the Theory of Lie Groups
Programming Pearls
get the point of pointless topology
keep on slogging thru the "What is" columns compilation and the Princeton Companion...
Also see a list of concepts to be tackled.
¯\_(ツ)_/¯
figure out how to work genus 2 Dehn twists to beat Teruaki
try to rigorously explain when are repetitions of simple K'nex angle joints planar
Learn España Cañí, Sting's the last ship, Il buono, il brutto, il cattivo, Radiohead's Street Spirit, and perfect ze Spanish Romance (cf. this performance).
restart regular piano practices
organize photos, finish the photography page, make an "album" on just the metal earth models...
started hoarding facts from past Ig-noble prizes. this one is my favorite yet. I wonder how does hunger factor into decision making. I image it would stop inhibitors on impulsive actions?
Interestingly, my questions about a hair curling procedure led me to the pony tail dynamics Ig-noble prizes
I have a very long IMDb watch list (419 and counting...)