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, Fall 2009: Tues 10-11:30 and 1:30-3, and by appointment
	Seminars and Courses Seminar in Operator Theory and Operator Algebras Applied Mathematics (APMA) 3340 - Complex Analysis and Applications Course announcement for MATH 3000 - Transition to Higher Mathematics (Spring 2010) (Spring 2009) Math 300 - Introduction to Abstract Mathematics (January 2009) Math 270 - Euclidean and Non-Euclidean Geometry (Fall 2008) Applied Mathematics (APMA) 334 - Complex Analysis and Applications (Spring 2008) Math 831 - Operator Theory I (January 2008) Math 270 - Topics in Euclidean and Non-Euclidean Geometry (Fall 2007) Math 131 - Calculus I
	Primary Research Areas Most of my work concerns operator algebras, especially von Neumann algebras. Specialized interests include noncommutative Lp spaces, operator theory for elements of von Neumann algebras other than B(H), and applications of model theory.

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.
-- Variations on Kuratowski's 14-set theorem, American Mathematical Monthly 117 (2010), 113-123.
-- Locally inner automorphisms of operator algebras, 17 pages, to appear in The Quarterly Journal of Mathematics (Oxford).
-- Notes on automorphisms of ultrapowers of II₁ factors, 19 pages, to appear in Studia Mathematica.
-- Divisible operators in von Neumann algebras, 28 pages, to appear in Illinois Journal of Mathematics.
-- (with Chuck Akemann) Conditional expectations onto maximal abelian *-subalgebras, 8 pages, preprint.
-- (with Ilijas Farah and Bradd Hart) Model theory of operator algebras I: Stability, 13 pages, preprint.
-- On cardinal invariants and generators for von Neumann algebras, 19 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 which explains the Ph.D. process via cartoons (in French): La vie du thésard.
A photo of my wife which will amuse those who can read the Italian on the poster.
Meet .