# Dr Katherine Staden

## About Me

I am a postdoc at the Mathematics Institute of the University of Warwick with Oleg Pikhurko. Previously I was a Ph.D. student working in the Graph Theory and Combinatorics group at the University of Birmingham, UK. My supervisor was Deryk Osthus and my co-supervisor was Daniela Kühn. I graduated in July 2015; my thesis was 'Robust Expansion and Hamiltonicity'. Before moving to Birmingham, I did my B.A. and M.Math. at the University of Cambridge from 2007-2011. Here is a copy of my CV.

## Research Interests

My research interests lie in extremal graph theory. So far, I have mainly worked on Hamilton cycle problems in regular graphs.

## Publications

- Local conditions for exponentially many subdivisions, (with Hong Liu and Maryam Sharifzadeh), submitted.
- The Erdős-Rothschild problem on edge-colourings with forbidden monochromatic cliques, (with Oleg Pikhurko and Zelealem B. Yilma), submitted.
- On degree sequences forcing the square of a Hamilton cycle, (with Andrew Treglown), submitted.
- Solution to a problem of Bollobás and Häggkvist on Hamilton cycles in regular graphs, (with Daniela Kühn, Allan Lo and Deryk Osthus), to appear in J. Comb. Theory B.
- The robust component structure of dense regular graphs and applications, (with Daniela Kühn, Allan Lo and Deryk Osthus), Proc. London Math. Soc., 110 (1), 19-56 (2015).
- Approximate Hamilton decompositions of robustly expanding regular digraphs, (with Deryk Osthus), SIAM J. Discrete Math., 27 (3), 1372-1409 (2013)