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 omega1-approximation sequences,
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), Isreal Journal of Mathematics (2014), in press.
Forbidden rectangles in compacta, Topology and its Applications, 159 (2012), 3180--3189.
The topology of ultrafilters as subspaces of 2omega (with Andrea Medini), Topology and its Applications, 159 (2012), 1318--1333.
The (lambda, kappa)-Freese-Nation property for boolean algebras and compacta, Order 29 (2012), 361--379
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
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 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