David Sherman

Assistant Professor
Department of Mathematics
University of Virginia
P. O. Box 400137
Charlottesville, VA 22904-4137

	Contact Information Email: dsherman@virginia.edu Office: 211 Kerchof Hall Phone: (434) 924-7079 (voicemail enabled) Department FAX: (434) 982-3084 Office Hours, Spring 2012: MW 1:15-2:45, and by appointment
	Recent Seminars and Courses Spring 2012: MATH 3000 - Transition to Higher Mathematics Spring 2012: MATH 8310 - Operator Theory Ongoing: Seminar in Operator Theory and Operator Algebras January 2012: MATH 2700 - Euclidean and Non-Euclidean Geometry Fall 2011: MATH 7410 - Functional Analysis I Spring 2011: MATH 2310 - Calculus III (Multivariable Calculus)
	Primary Research Areas Functional analysis and operator algebras, especially von Neumann algebras. Specialized interests include noncommutative Lp spaces, operator theory for elements of von Neumann algebras other than B(H), continuous model theory (logic) for functional analysis, and representation theory for operator spaces.

Recommended Reading
-- Relative tensor products for modules over von Neumann algebras, in Function Spaces (Edwardsville, IL, 2002), Contemporary Mathematics 328 (2003), 275-291.
-- Noncommutative L^p structure encodes exactly Jordan structure, Journal of Functional Analysis 221 (2005), 150-166.
-- (with Marius Junge) Noncommutative L^p modules, Journal of Operator Theory 53 (2005), 3-34.
-- (with Marius Junge and Zhong-Jin Ruan) A classification for 2-isometries of noncommutative L_p-spaces, Israel Journal of Mathematics 150 (2005), 285-314.
-- On the structure of isometries between noncommutative L^p spaces, Publications of the Research Institute for Mathematical Sciences (Kyoto) 42 (2006), 45-82.
-- A new proof of the noncommutative Banach-Stone theorem, in Quantum Probability (Bedlewo, Poland, 2004), Banach Center Publications 73 (2006), 363-375.
-- Unitary orbits of normal operators in von Neumann algebras, Journal fur die Reine und Angewandte Mathematik 605 (2007), 95-132.
-- On the dimension theory of von Neumann algebras, Mathematica Scandinavica 101 (2007), 123-147.
-- Notes on automorphisms of ultrapowers of II₁ factors, Studia Mathematica 195 (2009), 201-217.
-- Variations on Kuratowski's 14-set theorem, American Mathematical Monthly 117 (2010), 113-123.
-- Locally inner automorphisms of operator algebras, The Quarterly Journal of Mathematics (Oxford) 61 (2010), 241-254.
-- Divisible operators in von Neumann algebras, Illinois Journal of Mathematics 54 (2010), 567-600.
-- On cardinal invariants and generators for von Neumann algebras, Canadian Journal of Mathematics 64 (2012), 455-480.
-- (with Chuck Akemann) Conditional expectations onto maximal abelian *-subalgebras, 8 pages, to appear in Journal of Operator Theory.
-- (with Ilijas Farah and Bradd Hart) Model theory of operator algebras I: Stability, 14 pages, to appear in Bulletin of the London Mathematical Society.
-- (with Ilijas Farah and Bradd Hart) Model theory of operator algebras II: Model theory, 21 pages, preprint.
-- (with Ilijas Farah and Bradd Hart) Model theory of operator algebras III: Elementary equivalence and II₁ factors, 16 pages, preprint.

Writeup of a June 2008 talk aimed at undergraduates doing math research (the Willamette Valley REU-RET Consortium): "Ubiquity of operators in mathematics"


My Powerpoint prehistoric introduction to the joint density of random variables. Yabba dabba doo!
Here's an audio file about a Sherman (my sister) improving the world.
See how some in our house celebrated Thanksgiving.
Hear the mathematician Tom Ferguson (UCLA) rap Stirling's formula.
A Belgian site that explains the Ph.D. process via cartoons (in French): La vie du thésard.
Meet .
How brave are you? (by my 8-year-old daughter)