I am currently a researcher at the Department of Mathematics,
Faculty of Mathematics and Physics, University of Ljubljana, Slovenia.
Topology of wild spaces
Inverse limits of multivalued functions
Extension theory and
H. Edelsbrunner, Ž. Virk, and H. Wagner:
Topological data analysis in information space.
Manuscript, IST Austria, Klosterneuburg, Austria, 2018.
on IST repository
I am developing a theory of intrinsic persistence. A number of preprints are in preparation, including: on a Hopf type phenomenon; higher-dimensional persistence of metric graphs; and on approximations by complexes in topology.
With M. Čufar we are implementing computations of 1-dimensional intrinsic persistence.
With A. Akopyan, H. Edelsbrunner, and H. Wagner we are developing a TDA pipeline using Bregman divergences. Another preprint is on the way.
With K. Austin we are working on generalizations of coarse dimension raising results and related problems. A preprint should be out soon.