Assistant Professor

      University of Dayton

      Department of Mathematics

      Dayton, OH 45469

email   lyengulalp1@udayton.edu

office  Science Center 302-D

phone  937-229-2108

My research interests are general topology and set theory.  I completed my Ph.D. from the University of Kansas in 2009 under the direction of William Fleissner. Recently I began work in linear algebra and graph theory with the study of vector representations of graphs.

Publications/Preprints

From subcompact to domain representable. (with William Fleissner) preprint (2013)

Sphere representations, stacked polytopes and  the Colin de Verdiere number of a graph (with Lon Mitchell) submitted (2013) preprint

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

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

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

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

Coarser connected topologies and non-normality points, Ph.D. dissertation, University of Kansas, 2009.


UD Topology Seminar