Daniel Rogalski

Assistant Professor of Mathematics

Office phone: (858) 534-4421
drogalsk@math.ucsd.edu

Teaching


Current quarter, Winter 2008:

Math 20d (Differential Equations)

Math 103b (Applied Modern Algebra II)

Past quarters:

Fall 2007: Math 20b (Integral Calculus)

Fall 2007: Math 103a (Applied Modern Algebra)

Spring 2007: Math 207b (The representation theory of quivers) course handout

Winter 2007: Math 207a (An introduction to Noncommutative Projective Geometry).

Winter 2007: Math 109

Fall 2006: Math 103a

Spring 2006: Math 109

Winter 2006: Math 103b

Fall 2005: Math 103a

Research

My research is about noncommutative ring theory and noncommutative projective geometry. Here is a list of preprints and publications.

"GK-dimension of birationally commutative surfaces", preprint, available at arXiv (0707.3643), submitted. dvi , pdf

(with J. T. Stafford), "Naive noncommutative blowups at zero-dimensional schemes", preprint, available at arxiv (math/0612658), to appear in Journal of Algebra.

(with J.T. Stafford), "Naive noncommutative blowups at zero-dimensional schemes: An Appendix". This is a brief (unpublished) appendix to the preceding paper containing full proofs of a few of the more peripheral results. dvi , pdf

(with J. T. Stafford), "A Class of Noncommutative Projective Surfaces", preprint, available at arxiv (math/0612657), submitted. dvi , pdf

(with J. J. Zhang), "Canonical Maps to Twisted Rings'', to appear in Math. Z., available at arxiv (math/0409405).

(with Z. Reichstein and J. J. Zhang), "Projectively Simple Rings'', Adv. Math, 203 (2006), no. 2, 365-407. Also available at arxiv (math/0401098).

(with D.S. Keeler and J. T. Stafford), "Naive Noncommutative Blowing up'', Duke Math J. 126 (2005), no. 3, 491-546. Also available at arxiv, (math/0306244).

"Idealizer Rings and Noncommutative Projective Geometry,'' J. Algebra 279 (2004), no. 2, 791-809. Also available at arxiv (math/0305002).

"Generic Noncommutative Surfaces,'' Adv. Math 184 (2004), no.2, 289-341. Also available at arxiv (math/0203180).

"Examples of Generic Noncommutative Surfaces", University of Michigan PhD thesis. This contains more background and some extra results not included in the paper "Generic Noncommutative Surfaces" above. dvi , pdf


Advice on finding a research job


This is a document I wrote with helpful information if you are applying for research jobs (postdocs in particular) right out of graduate school. I prepared it for a panel discussion we have had the last few years at UCSD organized by Jim Lin.

Advice on applying for jobs