## Manuel Reyes

Associate Professor of Mathematics

### 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.

### Selected Publications

- Manuel L. Reyes,
*A prime ideal principle for two-sided ideals*, Comm. Algebra 44 (2016), no. 11, 4585-4608. - Manuel Reyes, Daniel Rogalski, and James J. Zhang,
*Skew Calabi-Yau algebras and homological identities*, Adv. Math. 264 (2014), 308-354 - Chris Heunen and Manuel L. Reyes,
*Active lattices determine AW*-algebras*, J. Math. Anal. Appl. 416 (2014), no. 1, 289-313. - Chris Heunen and Manuel L. Reyes,
*Diagonalizing matrices over AW*-algebras*, J. Funct. Anal. 264 (2013), no. 8, 1873-1898. - Manuel L. Reyes,
*Obstructing extensions of the functor Spec to noncommutative rings*, Israel J. Math. 192 (2012), no. 2, 667-698. - T.-Y. Lam and Manuel L. Reyes,
*A Prime Ideal Principle in commutative algebra*, J. Algebra 319 (2008), no. 7, 3006-3027.

A complete list of publications can be found at my personal page.

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