David Milovich

Assistant Professor of Mathematics
Dept. of Engineering, Mathematics, and Physics
Texas A&M International Univerisity
Office: Canseco Hall, 313C
Email: david.milovich@tamiu.edu
Interests: set theory, general topology, combinatorics

CV
Dissertation


Teaching
TAMIU MATH 4360 (General Topology) Fall 2010
TAMIU MATH 2413 (Calculus I) Fall 2010
TAMIU PHYS 2326 (University Physics II) Fall 2010

Earlier TAMIU teaching
UW-Madison teaching

Upcoming talks:
Spring Topology and Dynamics Conference, March 2011.

Publications
Order-theoretic properties of bases in products and box products (with Menachem Kojman and Santi Spadaro), in preparation
Power homogeneous compacta and the order theory of local bases (with Guit-Jan Ridderbos), submitted.
GO-spaces and Noetherian spectra, to appear in Topology and its Applications.
On a theorem of Van Mill, Topology and its Applications 156 (2009), no. 15, 2504--2506.
Tukey classes of ultrafilters on omega, Topology Proceedings 32 (2008) 351--362.
Noetherian types of homogeneous compacta and dyadic compacta, Topology and its Applications 156 (2008) 443--464.
Splitting families and the Noetherian type of $\beta N - N$, Journal of Symbolic Logic 73 (2008), no. 4, 1289--1306.
Amalgams, connectifications, and homogeneous compacta, Topology and its Applications 154 (2007) 1170--1177.
Trapping light with mirrors, MIT Undergraduate Journal of Mathematics 6 (2004) 153--180.

Slides
The (lambda, kappa)-FN and the order theory of bases in boolean algebras, BLAST, 6/2/2010.
Order properties of bases in products, Spring Topology and Dynamics Conference, 3/20/2010.
On the order theory of local bases, Fields Institute 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_1-approximation systems, Boise Extravaganza in Set Theory, 3/28/2008.
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Unpublished notes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