cv
talks
songs
Candidate A is your favorite, but you are told
that you must vote for a worse candidate B because your vote
for candidate A would help the worst candidate C.
The current voting system punishes you for voting honestly.
Do you like two out of five candidates equally? The current ballot does not let you
express your opinion. The result? Politicians with unpopular agendas are elected.
Do you want democracy? Demand a simple, purely mathematical solution:
approval voting,
or better the more general
score voting
aka range voting,
or even better its variation called
STAR voting.
Any one of these is
better
than rankedchoice voting aka IRV.
Much better.
Do not
advocate for rankedchoice, it's a distraction.
Bees
have a better democracy. We need to keep up.
Score voting is more important than the electoral college.
It is more important than gerrymandering. The country is not polarized;
it uses a corrupt voting system. Spread the word. Discuss and demand.
Will the politicians allow score voting?
This is not a mathematical question.

I am a Professor at UIUC Math Dept.
My mathematical interests include subjects related to
geometric group theory, in particular,
 hyperbolic groups, metric geometry, flows, CAT(0) and CAT(1) spaces,
 the zerodivisor conjecture, the Kaplansky conjectures,
the Atiyah problem; various types of (co)homology of groups,
 the Hanna Neumann conjecture and submultiplicativity,
 geometric and topological rigidity, conformal structures, geometric analysis,
 machine learning, artificial intelligence, image recognition,
 3manifolds and 4manifolds, relative hyperbolicity,
 the Novikov conjecture, the BaumConnes conjecture,
 and many other incoherent things...
 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Links and comments on
things related to geometric group theory. (Hint: pretty much anything
is related.)
ColorTaiko!
is the IML project I started running in Spring 2024 and continuing in Fall 2024.
Soon you should be able to play
a fun "ColorTaiko!" game here, so come again. The game is secretly related to several longstanding open problems about group algebras called Kaplansky conjectures.
My
article showing the connection between the Kaplansky conjectures and the game is also listed in the "paper work" below.
The video orangeandblue SPACE FISH and SPACE CLOCK.
Make it fullscreen and watch from the beginning to the end. When you finish your meditative journey, the highest mathematical truth might descend upon you. (Use Safari or Chrome. Firefox does not seem to work on this.)
Do you recognize the function in this video? (Hint: It was introduced in 1859.
And no, it was not in Darwin's "The origin of species".)
IG^{3}OR'S
Teaching in Fall 2024:
