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).