## Manuel Reyes

Assistant Professor of Mathematics

**Current teaching schedule available on the public course finder.**

### Contact Information

mreyes2@bowdoin.edu

207-725-3574

Mathematics

Searles Science Building - 104

### Education

- Ph.D. University of California, Berkeley
- B.S. Westmont College

### Research Interests

- Algebra: ring theory, module theory, noncommutative (algebraic) geometry, operator algebras, category theory, and interactions between these topics.

### Publications

*Obstructing extensions of the functor Spec to noncommutative rings*, to appear in Israel J. Math., arXiv:1101.2239 [math.RA].*Noncommutative generalizations of theorems of Cohen and Kaplansky*, to appear in Algebr. Represent. Theory, arXiv:1007.3701 [math.RA].*A one-sided Prime Ideal Principle for noncommutative rings*, J. Alg. Appl. 9 (2010), no. 6, pp. 877 919.*Oka and Ako ideal families in commutative rings*(with T. Y. Lam), Rings, Modules, and Rep- resentations, 263 288, Contemp. Math., 480, Amer. Math. Soc., Providence, RI, 2009.*A Prime Ideal Principle in commutative algebra*(with T. Y. Lam), J. Algebra 319 (2008), no. 7, pp. 3006-3027.- Complete CV (PDF)

Personal page: http://bowdoin.edu/~reyes/