I am a PhD student at the Unversity of Sydney.
Research interests: Ergodic Theory, Combinatorial Number Theory (Additive Combinatorics).
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
Chalmers University (Gothenburg, Sweden)
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).