Research

My research areas are set theory and topology.

Publications

• On a generalization of cofinal local compactness (with Joel Aguilar and Vladimir Tkachuk), Topology and its Applications (2026), accepted for publication.

• Knitting and Topology (with Mar Busko), Bridges Conference Proceedings (2026), accepted for publication.

• Baire spaces, G delta's and directed complete spaces (with William Fleissner) Topology Proc. 59 (2022), 111–151.

• Microhomogeneity (with Joe Mashburn and Daron Anderson) 2020, Topology and its Applications 284 (2020), 107406, 19 pp.

• Telgarsky's Conjecture may fail (with Will Brian, Alan Dow, and David Milovich) Isr. J. Math. (2021). https://doi.org/10.1007/s11856-021-2137-x

• Polish factorizations, cosmic spaces, and subcompactness (with Jila Niknejad and Vladimir Tkachuk) Bulletin of the Belgian Mathematical Society, volume 25, issue 3, pages 439 - 452, (2018)  

• Coding strategies, the Choquet game and domain representability, Topology and its Applications, 202, 1 April (2016) Pages 384–396

• From subcompact to domain representable. (with William Fleissner) Topology and its Applications.195, November (2015)  Pages 174–195   

• Sphere representations, stacked polytopes and  the Colin de Verdiere number of a graph (with Lon Mitchell). The Electronic Journal of Combinatorics  (2016) Vol. 23, Iss. 1, Paper #P1.9    

• When Cp(X) is domain representable. (with William Fleissner), Fundamenta Mathematicae 223 (2013), no. 1, 65-81.     

• Every scattered space is subcompact. (with William Fleissner and Vladimir Tkachuk) Topology and its Applications 160 (2013) no. 12, 1305-1312.   

• Non-normality Points of beta X\X (with William Fleissner), Fundamenta Mathematicae 214 (2011), no. 3, 269-283.   

• Coarser connected metrizable topologies, Topology and its Applications 157 (2010), no. 14, 2172-2179.