Department of Mathematics
Email: reyes@bowdoin (where "bowdoin" means "bowdoin dot edu").
Office: 104 Searles Science Building.
Spring 2014 Office Hours: Tues 3-4pm, Wed 3-4pm, Thurs 12-1pm.
You can see my CV
if you are interested.
Spring 2014 Courses
- Math 1700, Integral Calculus
- Math 3602, Advanced Topics in Algebra
Students can access online course materials by logging in to
Manny's Research and Papers
My research interests lie in Ring Theory (both noncommutative and commutative rings)
and Noncommutative Geometry (including noncommutative algebraic geometry).
I am also interested in cases where these ideas intersect with the study of category theory,
operator algebras, and quantum physics.
Here are some preprints of my
- Quantum theory realizes
all joint measurability graphs (with Chris Heunen and Tobias Fritz), to appear
in Phys. Rev. A.
(Also available at arXiv:1310.3698.)
- Skew Calabi-Yau algebras
and homological identities (with Daniel Rogalski and James J. Zhang), submitted.
(Also available at arXiv:1302.0437.)
- Active lattices determine
AW*-algebras (with Chris Heunen), to appear in J. Math. Anal. Appl.
(Also available at arXiv:1212.5778.)
- Sheaves that fail to represent
matrix rings, to appear in the proceedings of the 31st Dennison Mathematics Conference
in honor of T.Y. Lam.
(Also available at arXiv:1211.4005.)
- Diagonalizing matrices over AW*-algebras
(with Chris Heunen), J. Funct. Anal. 264 (2013), no. 8, 1873--1898.
(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.
Here are some slides from selected talks that I have given:
Some websites where I like to answer, ask, and read mathematics questions:
Here are some links to Wikipedia pages that concern various aspects of my work: