How to pronounce this name. Igor Mineyev's Math Page.
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"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.

I am an Associate Professor at UIUC Math Dept. My mathematical interests include subjects related to geometric group theory, in particular,
  • hyperbolic groups, metric geometry,
  • various types of (co)homology of groups,
  • relative hyperbolicity,
  • CAT(0) and CAT(-1) spaces, geometric and topological rigidity,
  • conformal structures, geometric analysis,
  • 3-manifolds, flows,
  • Novikov conjecture, Baum-Connes conjecture,
  • and many other incoherent things...
  • . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Current courses: Math 505 Homological Algebra.

G3
homepage

 I am an organizer of the G3 conference ("gee cube"). As y'all know, G3 stands for Geometric Group Theory on the Gulf Coast Conference, commonly abbreviated in various ways, for example, Geometric Groups on the Gulf (case non-sensitive).

The next G3 will take place on March 20-23, 2008. On the gulf coast, of course.

Paper work. get the files
linfty-cohomology and metabolicity of negatively curved complexes.
Internat. J. Algebra Comput. Vol. 9, No. 1(1999), 51-77. 		.pdf
Higher dimensional isoperimetric functions in hyperbolic groups.
Math. Z. 233 (2000), no. 2, 327-345. 		.pdf
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. 		.pdf
Straightening and bounded cohomology of hyperbolic groups.
GAFA, Geom. Funct. Anal. 11(2001), 807-839 		.pdf
Bounded cohomology characterizes hyperbolic groups.
Quart. J. Math. Oxford Ser., 53(2002), 59-73. 		.pdf
The Baum-Connes conjecture for hyperbolic groups.
Joint with Guoliang Yu. Invent. Math. 149 (2002) 1, 97-122. 		.pdf
Ideal bicombings for hyperbolic groups and applications.
Joint with N. Monod and Y. Shalom. Topology 43 (2004), no. 6, 1319-1344. 		.pdf
Non-microstates free entropy dimension for groups.
Joint with D. Shlyakhtenko. GAFA, Geom. Funct. Anal., vol. 15 (2005) 476-490. 		.pdf
Flows and joins of metric spaces.
Geometry and Topology, Vol. 9 (2005) Paper no. 13, pp. 403-482. Here is how to type symbols for this article in Latex.
file on GT web page
Metric conformal structures and hyperbolic dimension.
Conform. Geom. Dyn. 11 (2007), 137-163. 		.pdf and also published version
Relative hyperbolicity and bounded cohomology.
Joint with A.Yaman. Preprint, submitted. 		.pdf

Miscellaneous My tenure book.
Funny math pictures at V.Troitsky's homepage. I.H.É.S. is a famous institute in France. You can support it by making a donation.
A quote from teaching evaluations:
Instructor's weakness: high expectations. 		Failing our children. Disturbing findings about the performance of U.S. secondary school students in science and mathematics.
Another quote from teaching evaluations:
Do not teach proofs. They are useless. Teach what needs to be done on the homework and tests.
Here are some more. 		A very important statement.


Igor Mineyev
Department of Mathematics
University of Illinois at Urbana-Champaign
250 Altgeld Hall
1409 West Green Street
Urbana, IL 61801
USA
Email address mineyev math uiuc edu