# Alexey Pokrovskiy

Department of Mathematics,

London School of Economics and Political Science,

London WC2A 2AE, UK

Email: a DOT pokrovskiy AT lse DOT ac DOT uk

Phone: 00447724529803

### Details

I am a mathematics PhD student at the London School of Economics and Political Science. My main interests lie withing graph theory and combinatorics.
Particular areas that I am interested include extremal combinatorics, Ramsey Theory, Hypergraph Turan Problems, speeds of graph properties, graph regularity, positional games on graphs, and hypergraph matchings.

Curriculum Vitae

### Publications

- A linear bound on the Manickam, Miklós, and Singhi Conjecture, A. Pokrovskiy, Preprint.

- Partitioning edge-coloured complete graphs into monochromatic cycles and paths, A. Pokrovskiy, Submitted.

- Edge Growth in Graph Powers, A. Pokrovskiy, Submitted.

- Partitioning 3-coloured complete graphs into three monochromatic paths, A. Pokrovskiy, Electron. Notes Discrete Math.
** 38 ** (2011) 717-722
- Growth of graph powers, A. Pokrovskiy, Electron. J. Combin.
** 18** (2011)
, A. Pokrovskiy.

- Periodic Sequences of Arbitrage: A Tale of Four Currencies, R. Cross, V. Kozyakin, B. O'Callaghan, A. Pokrovskii and A. Pokrovskiy, Metroeconomica
** 63(2)** (2011) 250-294
- A corollary of the Poincaré-Bendixson theorem and periodic canards, A. Pokrovskii, A. Pokrovskiy and A. Zhezherun, J. Differential Equations.
** 247(12)** (2009) 3283-3294
- Complex networks based on discrete-mode lasers, A. Amann, S. Osborne, S. O'Brien and A. Pokrovskiy, J. Phys.: Conf. Ser.,
** 138(1)** (2008)