|How to pronounce this name.||Igor Mineyev's Math Page.|
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. The result? Politicians with unpopular agendas are elected.
Do you want democracy? Do you want your true opinion to be counted? Demand a simple, purely mathematical solution: approval voting, or the more general score voting aka range voting, or its variation called STAR voting.
Bees have a better democracy. We need to keep up.
Will the politicians allow these voting systems? 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,
Tentative teaching in the Fall 2018:
|The mathematically correct name is "gee cube".
As y'all know, G3 stands for the annual
Geometric Group Theory on the Gulf Coast Conference, commonly
abbreviated in various ways, like
Geometric Groups on the Gulf.
We have not received funding from NSF, so there is no G3 conference in 2018.
|linfty-cohomology and metabolicity of negatively curved complexes. Internat. J. Algebra Comput. Vol. 9, No. 1(1999), 51-77.|
|Higher dimensional isoperimetric functions in hyperbolic groups. Math. Z. 233 (2000), no. 2, 327-345.|
|l1-homology of combable groups and 3-manifold groups. International Conference on Geometric and Combinatorial Methods in Group Theory and Semigroup Theory (Lincoln, NE, 2000). Internat. J. Algebra Comput. 12 (2002), no. 1-2, 341-355.|
|Straightening and bounded cohomology of hyperbolic groups. GAFA, Geom. Funct. Anal. 11(2001), 807-839.|
|Bounded cohomology characterizes hyperbolic groups. Quart. J. Math. Oxford Ser., 53(2002), 59-73.|
|The Baum-Connes conjecture for hyperbolic groups. Joint with Guoliang Yu. Invent. Math. 149 (2002) 1, 97-122.|
|Ideal bicombings for hyperbolic groups and applications. Joint with N. Monod and Y. Shalom. Topology 43 (2004), no. 6, 1319-1344.|
|Non-microstates free entropy dimension for groups. Joint with D. Shlyakhtenko. GAFA, Geom. Funct. Anal., 15 (2005), 476-490.|
Flows and joins of metric spaces.
Geometry and Topology, Vol. 9 (2005), no. 13, 403-482. Here is how to type
Latex symbols for this article.
Also the file on GT web page.
|Metric conformal structures and hyperbolic dimension. Conform. Geom. Dyn. 11 (2007), 137-163. Also the published version.|
|Relative hyperbolicity and bounded cohomology. Joint with A.Yaman. Preprint.|
|The topology and analysis of the Hanna Neumann Conjecture. J. Topol. Anal. (JTA), 3(2011), no. 3, 307-376. If you would like to learn about the Hanna Neumann conjecture and its generalizations, read my three papers in the reverse order. (Read this paper third).|
|Submultiplicativity and the Hanna Neumann Conjecture. Ann. of Math., 175 (2012), no. 1, 393-414. Also a latex leafage picture. Another leafage picture. (Read this paper second).|
|Groups, graphs, and the Hanna Neumann Conjecture. J. Topol. Anal. (JTA), 4(2012), no. 1, 1-12. Here is the pictures-only version of this article. (Read this paper first).|
"Mathematics is a piece of cake:
if you like it, you will get it."
"My theory is that no matter how hard people try to describe the real world, any theory would give only a rough approximation to the reality. Except for my theory."
"...a point has the non-zero zero homology and the zero non-zero homology..."
--I.V.Mineyev, hope-not-yet-complete works.
A Mathematician's Lament
by Paul Lockhart.
What you hated in school was not mathematics.
A quote from teaching evaluations:
Instructor's weakness: high expectations.
|Freedom.||Another quote from teaching evaluations: Do not teach proofs. They are useless. Teach what needs to be done on the homework and tests.|
|A very important statement.||Funny math pictures from V.Troitsky.|
Department of Mathematics,
University of Illinois at Urbana-Champaign,
250 Altgeld Hall,
Urbana, IL 61801, USA.
mineyev math uiuc edu
Please don't get discoraged if I don't reply. I have email anxiety, and a mild form of keyboard incompatibility. I read email, but not regularly, and it takes time. Email also happens to be a distraction from deep thinking. I'm working on my email skills, it's a process. Meet me in person, I'm much nicer that way. :) If you want to write me something important, a regular mail letter might be a better option.