Embedded Files
Assistant Professor
Mathematical Institute
Leiden University
Einsteinweg 55
2333 CC Leiden
Email: ollukina940 at gmail.com, o.lukina at math.leidenuniv.nl
My research lies at the intersection of dynamical systems, topology and geometry, with applications in number theory, percolation and other areas. My recent projects include applications of Cantor dynamics in the study of properties of the profinite Galois groups, and the properties of flows on flat surfaces of infinite genus. I am also interested in group-theoretical and geometric aspects of percolation on Cayley graphs of non-abelian groups.
Events
I am organizing
Probability and Analysis in Leiden and Delft (PALD) seminar, with Kristin Kirchner.
Workshop Dynamics on Zero-Dimensional Spaces: New Connections, Lorentz Center, Leiden, May 13--17 2024, with Maria Isabel Cortez and Samuel Petite.
Upcoming and recent presentations
Dynamical Days 2025, PUC Chile, Santiago, Chile, December 2025.
VaNTAGe online seminar, October 2025.
Conference on occasion of John Hunton's 60-th birthday, plenary talk, Durham University, Durham, UK, September 2025, pdf.
One-day (online) symposium to celebrate Women in Mathematics Day, IIT Jodhpur, India, May 2025.
Workshop `Uniform distribution of sequences', Edwin Schrödinger Institute, Vienna, Austria, April 2025, pdf.
General Mathematics Colloquium, Leiden University, December 2024.
Discrete Mathematics Seminar, Université de Liège, Belgium, November 2024.
Past lecture series
Barrett Lectures 2022, University of Tennessee at Knoxville, USA, June 2022, first lecture, second lecture.
Ritsumeikan University, Japan, November - December 2019.
Selected recent papers
S. Hurder and O. Lukina, Type invariants for solenoidal manifolds, arXiv:2305.00863, to appear in Ergod. Th. & Dynam. Systems.
M. I. Cortez and O. Lukina, Settled elements in profinite groups, arXiv:2106.00631, Advances in Mathematics, 404 2022, 108424.
S. Hurder, O. Lukina and W. van Limbeek, Cantor dynamics of renormalizable groups, arXiv: 2002.01565, Groups, Geometry and Dynamics, 15(4) 2021, 1449--1487.
M. Gröger and O. Lukina, Measures and regularity of group Cantor actions, arXiv:1911.00680, Discrete Contin. Dyn. Syst. Ser. A., 41(5) 2021, 2001--2029.
S. Hurder and O. Lukina, Limit group invariants for non-free Cantor actions, arXiv:1904.11072, Ergodic Theory Dynam. Systems, 41(6), 2021, 1751--1794.
O. Lukina, Galois Groups and Cantor actions, arXiv:1809.08475, Trans. Amer. Math. Soc., 374(3) 2021, 1579--1621.
Google Sites
Report abuse