|How to pronounce this name.||Igor Mineyev's Math Page.|
"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,
Teaching Math 595 now.
|I am an organizer of the annual 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.|
The next G3 will take place in the spring of 2013.
|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.|
|Submultiplicativity and the Hanna Neumann Conjecture. Ann. of Math., 175 (2012), no. 1, 393-414. Also a latex leafage picture. Another leafage picture.|
|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.|
|Funny math pictures at V.Troitsky's homepage.||A very important statement.|
A quote from teaching evaluations:
Instructor's weakness: high expectations.
| Another quote from teaching evaluations:
Do not teach proofs. They are useless. Teach what needs to be done on the homework and tests.