David Milovich Assistant Professor of Mathematics Dept. of Engineering, Mathematics, and Physics Texas A&M International Univerisity Office: BVC 321 Email: david.milovich@tamiu.edu Interests: set theory, general topology, combinatorics CV Dissertation |

Upcoming Talks

Topological applications of long omega

a tutorial at the Winter School in Abstract Analysis,

Set Theory & Topology section, February 2015.

Teaching

MATH 2414 (Calculus II) Fall 2014

MATH 4335 (Advanced Calculus) Fall 2014

MATH 5305 (Real Analysis I) Fall 2014

MATH 5398 (Thesis I) Fall 2014

MATH 5399 (Thesis II) Fall 2014

Earlier TAMIU teaching

UW-Madison teaching

Publications

Noetherian type in topological products (with Menachem Kojman and Santi Spadaro),

Forbidden rectangles in compacta,

The topology of ultrafilters as subspaces of 2

The (lambda, kappa)-Freese-Nation property for boolean algebras and compacta,

GO-spaces and Noetherian spectra,

Power homogeneous compacta and the order theory of local bases (with Guit-Jan Ridderbos),

On a theorem of Van Mill,

Tukey classes of ultrafilters on omega,

Noetherian types of homogeneous compacta and dyadic compacta,

Splitting families and the Noetherian type of beta omega\ omega,

Amalgams, connectifications, and homogeneous compacta,

Trapping light with mirrors,

Slides

A locally finite characterization of AE(0) and related classes of compacta, Spring Topology and Dynamics Conference, 3/13/2014.

On cofinal types in compacta: cubes, squares, and forbidden rectangles, Toronto Set Theory Seminar, 10/21/2011.

Box products and singular cardinals, BLAST, Lawrence, KS, 6/1/2011.

Order types of bases in box products, omega*, and homogeneous compacta, Spring Topology and Dynamics Conference, 3/18/2011.

The (lambda, kappa)-FN and the order theory of bases in boolean algebras, BLAST, Boulder, CO, 6/2/2010.

Order properties of bases in products, Spring Topology and Dynamics Conference, 3/20/2010.

On the order theory of local bases, Toronto Set Theory Seminar, 2/12/2010.

Thesis defense.

An introduction to my research for non-specialists.

Two spectra of Noetherian types, Spring Topology and Dynamics Conference, 3/8/2009.

Applications of omega

Diamond and ultrafilters, Spring Topology and Dynamics Conference, 3/14/2008.

Noetherian types of ultrafilters on omega, Graduate Student Conference in Logic, 4/28/2007.

Noetherian types of homogeneous compacta, Spring Topology and Dynamics Conference, 3/30/2007.

Tukey classes of local bases in compacta, Boise Extravaganza in Set Theory, 3/25/2007

Reflecting cones on boolean algebras, Greater Boston Logic Conference, 5/13/2006

Unpublished notes

A compactness theorem for posets

Branch product topologies

Branch product relations

Games

Doubles