Adam Nyman's Personal Web Page

Research

My primary research interest is non-commutative algebraic geometry and its interactions with algebraic geometry.

Click here for a summary of my research. Click here for my CV.

Monographs:

· Points on quantum projectivizations, Mem. Amer. Math. Soc. 167 (2004), 142 pages, .dvi, .pdf.

Papers (reprints available upon request):

· Grassmannians of two-sided vector spaces, Comm. Algebra, 35 (2007), 2208-2234, .dvi, .pdf.

· Two-sided vector spaces (with C. Pappacena), Linear Algebra Appl., 420 (2007), 339-360, .dvi, .pdf.

· Serre finiteness and Serre vanishing for non-commutative P^1 bundles, J. Algebra 278 (2004), 32-42, .dvi, .pdf.

· Serre duality for non-commutative P^1 bundles, Trans. Amer. Math. Soc. 357 (2005), 1349-1416, .dvi, .pdf.

· The geometry of points on quantum projectivizations, J. Algebra 246 (2001), 761-792, .dvi, .pdf.

Preprints:

· Arithmetic non-commutative P^1’s, .dvi, .pdf.

· Watts’s Theorem for schemes (with S.P. Smith), .dvi, .pdf.

· A generalization of Watts’s Theorem: right exact functors on module categories (with S.P. Smith), .dvi, .pdf.

For a list of mathematicians working in non-commutative algebraic geometry, go to Paul Smith's list of non-commutative algebraic geometers.

Teaching

Spring of 2008 classes:

Math 221: Linear Algebra

Math 422: Abstract Algebra 2

Web pages for these courses are under development.

Return to Department of Mathematical Sciences.