Žiga Virk

Professor of Mathematics

Faculty of Computer and Information Science
Faculty of Mathematics and Physics
University of Ljubljana, Slovenia

Contact details or ziga.virk [at] fri.uni-lj.si

My research interests are in topology and geometry. I am particularly interested in the geometric interpretation of persistent homology.

I did my undergraduate and graduate studies at the University of Ljubljana and the University of Tennessee in Knoxville, the latter under the supervision of Jerzy Dydak.

I was a postdoctoral researcher at IST Austria under the supervision of Herbert Edelsbrunner.

Research Papers and preprints 44 research papers and 9 preprints in persistent homology, applied topology, coarse geometry and wild topology. Textbook Introduction to Persistent Homology A freely available textbook for students of mathematics and computer science.

Recent preprints

Coarse Embeddings Beyond Doubling: Persistence Diagrams and Multiparameter Modules
S. Majhi, A. Mitra, Ž. Virk · arXiv:2611.12866
COMPLEX: A Closed-Form Certified Embedding of Multiparameter Persistence Modules
S. Majhi, A. Mitra, Ž. Virk, P. Bagchi · arXiv:2609.22012
Statistical Inference for Persistence Diagrams via Landmark Embeddings: Minimax Theory and Finite Approximation
P. Bagchi, S. Majhi, A. Mitra, Ž. Virk · arXiv:2609.07691

All publications →