Mark V. Sapir

IMAGE: It's me.

 To see a photo of my family, click here.

My wife's web page is here, my older daughter's web page is here and my son's web page is here

Here is how I looked like in 1980-1981 (I was a graduate student then).

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Mark V. Sapir
Centennial Professor
1522 Stevenson Center
Department of Mathematics
Vanderbilt University
(615) 322-6657 (office)
(615) 343-0215 (fax)
e-mail:m.sapir(AT)vanderbilt.edu

Conference "Combinatorial and geometric group theory"


The Web site of the conference is here.

Seminar "Group theory and topology"


To look at this semester schedule, click here

Graduate students:

  • Currently I am the PhD advisor of Iva Kozáková. She is working on percolation in Cayley graphs of groups, and other probabilistic aspects of group theory.
  • I was also a PhD advisor (together with John Meakin) of Tatyana Jajcayova. Thesis: "HNN extensions of inverse semigroups".

    • Teaching:


    In the Spring of 2008, I am teaching Linear Algebra (Math 204).
  • Here is the syllabus for the course.
  • Here are solutions of tests and quizzes.

    • Words of encouragement

    I often hear complains that I don't encourage my students enough. I am told that students work very hard and need to feel good about themselves. And I make them feel good very rarely. So I decided to make a special "feel good about yourself" page for my students. Click and hear (perhaps the first time) words of encouragement coming from your Professor.

    Another alcohol-free way to make you feel good

    If after hours of doing a homework you feel like you can't solve anything anymore, try this "Find the fish" problem by Dr. Dewynne, a Maths professor from Great Britain.

    The WebTester

    The WebTester is an engine for administering non-multiple choice tests over the Web. Linear Algebra tests which I have been using in my Linear Algebra classes are available here.

    Linear Algebra WebNotes

    Click here to see the WebBook on Linear Algebra that I wrote in 1996-1997. It contains complete set of my lectures, an on-line calculator, homework assignments with solutions, discussion pages, etc.

    Research Interests

    I am interested in algorithmic, geometric and probabilistic invariants of groups, semigroups and algebras. Click here to see some of my publications and my CV. Here are my paper in the arXiv.

    Slides of talks

  • "Percolation on transitive graphs", Ottawa (Canada), December 14, 2007.
  • "Hilbert space compression of R.Thompson group and wreath products", Lausanne (Switzerland), January 25, 2007.
  • "Hilbert space compression of groups", New Orleans (LA, USA), January 5, 2007.
  • "Cut-points in asymptotic cones", Manresa, (Spain), September, 2006.
  • "Asymptotic and algorithmic invariants", ICM-2006 (August, 2006)
  • "Groups acting on tree-graded spaces", Oberwolfach (May, 2006)
  • "Groups acting on tree-graded spaces", Toronto (May, 2006)
  • "Tree-graded spaces and asymptotic cones", Shanks-2006, Nashville (May 2006)
  • "Residually finite groups and dynamics of polynomial maps", Tel Aviv (January, 2006)

    Roo and Robby

    When I was in Russia, I wrote a textbook "Informatics" together with Gejn, Linetsky and Sholokhovich. This is the most popular textbook on this subject in Russia now. There were 5 editions, total number of copies is more than 2,500,000. I also was the author of the software support of this textbook. This software was written for some primitive Z-80 computers made by Yamaha. An adaptation of this software to IBM PC was made by Linetsky and myself. The software is called Roo and Robby/SchoolWorks and consists of 5 programs. Roo and Robby are machines which understand simple languages (Roo is a kangaroo and Robby is a snake); the SchoolWorks contains a spreadsheet, a database and a text processor. There was a nice review article about Roo and Robby in the November issue, 1990 of PC/Computing, and in Visions (Spring/Summer 1993). If you want to download Roo, click here . In 1992-1994 we together with Linetsky had programming classes in Lincoln (NE) for kids 4-7 grades where we tought them Roo and Robby.

    All comments mail to: m.sapir(AT)vanderbilt.edu This is your local time

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