Mark Sapir

Mark Sapir, Centennial Professor of Mathematics, made significant research contributions in the areas of geometric group theory, semigroup theory, and combinatorial algebra. He received his undergraduate degree in mathematics from Ural State University in 1978. He then earned his doctorate from Ural State University, where he studied with famed scientist and mathematician Lev N. Shevrin. Sapir taught at the University of Nebraska–Lincoln before joining Vanderbilt as a tenured professor in 1997. He was named Centennial Professor of Mathematics in 2001.

Sapir previously co-directed the Vanderbilt-led Nashville Math Club and founded the Journal of Combinatorial Algebra, published by the European Mathematical Society, serving as its first editor-in-chief. Sapir was named to the inaugural class of Fellows of the American Mathematical Society in 2012.

Publications

For a full list of publications, please see Mark Sapir’s Google Scholar profile. Also for reference, Mark Sapir’s blog.

Books

Combinatorial Algebra: Syntax and Semantics (Springer, 2014)

Lectures

Videos

Slides

“Uniform embeddings of groups“, Baltimore (AMS meeting), January 18, 2014.
“The Tarski numbers of groups“, Vanderbilt, January 15, 2014.
“On free Burnside groups“, New York, December 7, 2012.
“On the dimension growth of groups“, Barcelona, Spain, September 6, 2012, Hoboken, NJ, September 21, 2012.
“Aspherical groups and manifolds with extreme properties“, Autrans, France, July 6, 2012, Oberwolfach, Germany, July 19, 2012.
“On the dimension growth of groups“, Honolulu, HI, March 3, 2012.
“Hilbert space compression and dimension growth“, Embeddings workshop, Cambridge, UK, January 10. 2011 (video of the lecture).
“Higman Embeddings“, International Conference on Algebras and Lattices, Prague, June 24, 2010.
“Geometry of groups and computational complexity“, 75 KAM Colloquium, Prague, June 17, 2010.
“Conjugacy growth of groups“, Starkville, MS, March 20, 2010.
“Polynomial maps over fields and residually finite groups“, Lecture 4. Bath, UK, August 2009.
“Polynomial maps over fields and residually finite groups“, Lecture 3. Bath, UK, August 2009.
“Polynomial maps over fields and residually finite groups“, Lecture 2. Bath, UK, August 2009.
“Polynomial maps over fields and residually finite groups“, Lecture 1. Bath, UK, August 2009.
“Polynomial maps over fields and residually finite groups“, Banff (Canada), October 14, 2008, AMS sectional meeting, Huntsville, AL, October, 24, 2008.
“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)