Department of Mathematics
Email: reyes@bowdoin (where "bowdoin" means "bowdoin dot edu").
Office: 104 Searles Science Building.
Spring 2013 office hours: Tuesday 2:30-4pm, Wednesday 2:30-3:15pm.
You can see my CV
if you are interested.
Spring 2013 Courses
- Math 171A, Integral Calculus
- Math 200A (joint with Thom Pietraho), Introduction to Mathematical Reasoning
- Math 231 (joint with Thom Pietraho), Intermediate Linear Algebra
Students can access online course materials by logging in to
Manny's Research and Papers
My research interests lie in Ring
(both noncommutative and
I am also interested in cases where these ideas intersect with the study of operator algebras
and category theory.
Here are some preprints of my
- Skew Calabi-Yau algebras
and homological identities (with Daniel Rogalski and James J. Zhang), preprint.
(Also available at arXiv:1302.0437.)
- Active lattices determine
AW*-algebras (with Chris Heunen), preprint.
(Also available at arXiv:1212.5778.)
- Sheaves that fail to represent
matrix rings, preprint.
(Also available at arXiv:1211.4005.)
- Diagonalizing matrices over AW*-algebras
(with Chris Heunen), to appear in J. Funct. Anal.
(Also available at arXiv:1208.5120.)
- Obstructing extensions of the functor Spec to
noncommutative rings, Israel J. Math. 192 (2012), no. 2, 667--698.
(Also available at arXiv:1101.2239.)
generalizations of theorems of Cohen and Kaplansky, Algebr. Represent. Theory 15
(2012), no. 5, 933--975.
(Also available at arXiv:1007.3701.)
one-sided Prime Ideal Principle for noncommutative rings, Journal of Algebra and Its
Applications 9 (2010), no. 6, 877--919.
(Also available at arXiv:0903.5295.)
- Oka and
Ako Ideal Families in Commutative Rings (with T.Y. Lam), Rings, Modules, and Representations,
263--288, Contemp. Math., 480, Amer. Math. Soc., Providence, RI, 2009.
- A Prime Ideal
Principle in commutative algebra (with T.Y. Lam), Journal of Algebra 319 (2008), no. 7., 3006--3027.