# Kamil Bulinski

## About

I am a PhD student at the Unversity of Sydney.

** Research interests: ** Ergodic Theory, Combinatorial Number Theory (Additive Combinatorics).

## Papers

** Plunnecke inequalities for measure graphs with applications, ** (joint with A. Fish) arXiv

Accepted in *Ergodic Theory and Dynamical Systems, * Online version (2015): pp. 1 - 22. doi: 10.1017/etds.2015.51.

** Multdimensional lower density versions of Plunnecke's inequality, ** arXiv

Accepted, pending revision, in *Electronic Journal of Combinatorics*.

** Twisted patterns in large subsets of Z^N, ** (Joint with M. Björklund) arXiv

Accepted in * Commentarii Mathematici Helvetici*.

** Spherical recurrence and locally isometric embeddings of trees into positive density subsets of Z^d,** arXiv

Accepted in * Mathematical Proceedings of the Cambridge Philosophical Society*.

** Twisted Recurrence via Polynomial Walks, ** (Joint with A. Fish) arXiv

Submitted.

## Research visits

** Chalmers University (Gothenburg, Sweden) **

September-October 2015

## Selected Talks

** Plunnecke inequalities for cardinalities, densities and measures. ** Given at the Sydney Dynamics Group seminar in 2014.

** Plunnecke inequalities for measure preseving actions. ** Given at the Australian Mathematics Society meeting in December 2014 (hon. mention for student talk prize)

** Plunnecke inequalities for measure preserving actions. ** Given at the Workshop on Algebraic, Number Theoretic and Graph Theoretic Aspects of Dynamical Systems at UNSW in 2015.

** Ergodic Plunnecke inequalities ** Given at Sydney University twice: Geometry, Topology and Analysis seminar and the Student seminar

** Plunnecke inequalities in Ergodic Theory and Additive Combinatorics ** Given at Wrocław University of Technology (Poland) in 2015.

** Twisted Multiple Recurrence and patterns in large subsets of Z^d. ** Given at CANT 2016 at the CUNY Graduate Center.

** Spherical and Twisted multiple recurrence and configurations in positive density subsets of Z^d. ** Given at Ergodic Theory and its Applications at Sydney University (2016).