Publications
On the scope of the Effros theorem, submitted
Zerodimensional σhomogeneous spaces, with Z. Vidnyánszky, submitted
Constructing Wadge
classes, with R. Carroy
and S. Müller, to appear
in Bull. Symb. Log.
Every zerodimensional
homogeneous space is strongly homogeneous under determinacy, with R. Carroy
and S. Müller, J. Math.
Logic 20:3 (2020), 2050015
On Borel semifilters,
Topology Proc. 53 (2019), 97122
Infinite powers and
Cohen reals, with J.
van Mill
and L.
Zdomskyy, Canad. Math. Bull. 61:4 (2018), 812821
Productively
Lindelöf spaces of countable tightness, with L.
Zdomskyy, Houston J. Math. 43:4 (2017), 12631272
Nonmeager
free sets and independent families, with D. Repovš
and L.
Zdomskyy, Proc. Am. Math. Soc. 145:9 (2017), 40614073
Every filter is homeomorphic
to its square, with L.
Zdomskyy, Bull. Pol. Acad. Sci., Math. 64:1 (2016), 6367
A
homogeneous space whose complement is rigid, with J. van Mill
and L.
Zdomskyy, Israel J. Math. 214:2 (2016), 583595
Distinguishing perfect
set properties in separable metrizable spaces, J. Symb. Log. 81:1
(2016), 166180
Seven
characterizations of nonmeager Pfilters, with K. Kunen
and L.
Zdomskyy, Fund. Math. 231:2 (2015), 189208
Countable
dense homogeneity in powers of zerodimensional definable spaces,
Canad. Math. Bull. 58:2 (2015), 334349
Between
Polish and completely Baire, with L.
Zdomskyy, Arch. for Math. Logic 54:12 (2015), 231245
Products
and countable dense homogeneity, Topology Proc. 46 (2015), 135143
The
topology of ultrafilters as subspaces of $2^\omega$, with D.
Milovich, Topology Appl. 159:5 (2012), 13181333
Products
and hhomogeneity, Topology Appl. 158:18 (2011),
25202527
A
nonCLPcompact product space whose finite subproducts are CLPcompact,
Topology Appl. 157:18 (2010), 28292833

Selected talks
Topological applications of Wadge theory,
given at the Fields
Institute Set Theory Seminar, November 20, 2020, Toronto
Topological
applications of Wadge theory (tutorial), given at the Winter
School in Abstract Analysis, section Set Theory and Topology,
January 25February 1, 2020, Hejnice, Czech Republic
Homogeneous spaces and Wadge theory
(semiplenary talk), given at the 33rd Summer
Conference on Topology and its Applications, July 1720, 2018,
Bowling Green, Kentucky
Almost every homogeneous Borel space is a
semifilter, given at the 31th
Summer Conference on Topology and its Applications, August
25, 2016, Leicester, United Kingdom
Topological homogeneity
and infinite powers (semiplenary talk), given at
the 30th
Summer Conference on Topology and its Applications, June
2326, 2015, Galway,
Ireland
Dropping
Polishness, given at Sets and
Computations, session on Set Theory, March 30April 10, 2015,
Institute for Mathematical
Sciences, National University of Singapore
Seven characterizations of
nonmeager Pfilters, given at the 48th
Spring Topology and Dynamics Conference, March 1315,
2014, University of Richmond
Countable dense homogeneity
and set theory, given at the AMS
Sectional Meeting, session on Set Theory and Boolean
Algebras, April 1314, 2013, University of Colorado, Boulder
Clopen sets in products:
CLPcompactness and hhomogeneity, given at Auburn
University, March 2, 2012
The topology of
ultrafilters as subspaces of $2^\omega$, given at the AMS
Sectional Meeting, session on Set Theory, September 1011,
2011, Cornell University
Products and
hhomogeneity, given at the International
Conference on Topology and its Applications, June 2630,
2010, Nafpaktos, Greece
Van Douwen's problem on the cellularity of compact homogeneous spaces, specialty
exam, given at the Southern
Wisconsin Logic Colloquium
Elementary submodels of the
universe, a very basic introduction, given at the late
Graduate
Participation Seminar in Logic
