David Milovich Office: 318 Van Vleck Email: milovich@math.wisc.edu Interests: set theory, general topology CV Research Statement Dissertation

Teaching
211 (Calculus) Spring 2009
320 (Linear algebra and Differential Equations) Fall 2008
221 (Calculus) Summer 2008
113 (Trigonometry) Spring 2008
221 (Calculus) Fall 2007

Publications
On a theorem of Van Mill, submitted.
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
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Unpublished notes
More about Noetherian types of compacta
Branch product topologies
Branch product relations
A compactness theorem for posets
Proving the Delta-system Lemma with elementary substructures
A gentle introduction to forcing iterated along posets
Games
Doubles