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

Upcoming Talks
Forbidden local bases, ASL North American Meeting, March 31, 2012, University of Wisconsin-Madison.
TBA, Young Set Theory Meeting, May 2012, CIRM, Luminy, France.


Teaching
TAMIU MATH 5365 (Topology) Spring 2012
TAMIU PHYS 2325 (University Physics I) Spring 2012
TAMIU PHYS 2125-2L1 (University Physics I Lab) Spring 2012
TAMIU PHYS 2125-2L2 (University Physics I Lab) Spring 2012
Earlier TAMIU teaching
UW-Madison teaching

Publications
Forbidden rectangles in compacta, submitted.
The topology of ultrafilters as subspaces of 2^&omega (with Andrea Medini), Topology and its Applications, 159 (2012), 1318--1333.
Order-theoretic properties of bases in products and box products (with Menachem Kojman and Santi Spadaro), submitted.
The (&lambda, &kappa)-Freese-Nation property for boolean algebras and compacta, Order, to appear.
GO-spaces and Noetherian spectra, Topology and its Applications 158 (2011), 2528--2534.
Power homogeneous compacta and the order theory of local bases (with Guit-Jan Ridderbos), Topology and its Applications 158 (2011), no. 3, 432--444.
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&omega\&omega, 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
On cofinal types in compacta: cubes, squares, and forbidden rectangles, Fields Institute 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, 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 &omega₁-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