Dr Katherine Staden
About Me
I am a postdoctoral research assistant at the Mathematical Institute of the University of Oxford working with Peter Keevash. Until December 2017 I was a Research Fellow (postdoc) at the Mathematics Institute of the University of Warwick and DIMAP with Oleg Pikhurko, working on the ERC project Extremal Combinatorics. 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 combinatorics. During my PhD I mainly worked on Hamilton cycle problems in regular graphs; lately I have been working on stability, supersaturation in graphs and groups, and some problems in combinatorial number theory.
Publications
Preprints
- The exact minimum number of triangles in graphs of given order and size, (with Hong Liu and Oleg Pikhurko), submitted (99 pages)
- Minimum number of additive tuples in groups of prime order, (with Ostap Chervak and Oleg Pikhurko), submitted (14 pages)
- On the maximum number of integer colourings with forbidden monochromatic sums, (with Hong Liu and Maryam Sharifzadeh), submitted (24 pages)
- Proof of Komlos's conjecture on Hamiltonian subsets, (with Jaehoon Kim, Hong Liu and Maryam Sharifzadeh), to appear in Proc. London Math. Soc.
- Independent sets in hypergraphs and Ramsey properties of graphs and the integers, (with Robert Hancock and Andrew Treglown), submitted (32 pages).
Papers
- The Erdős-Rothschild problem on edge-colourings with forbidden monochromatic cliques, (with Oleg Pikhurko and Zelealem B. Yilma), Math. Proc. Cambridge Phil. Soc., 163 341-356 (2017).
- Local conditions for exponentially many subdivisions, (with Hong Liu and Maryam Sharifzadeh), Combinatorics, Probability and Computing, 26 (3), 423-430 (2017).
- On degree sequences forcing the square of a Hamilton cycle, (with Andrew Treglown), SIAM J. Discrete Math., 31(1), 383-437 (2017).
- Solution to a problem of Bollobás and Häggkvist on Hamilton cycles in regular graphs, (with Daniela Kühn, Allan Lo and Deryk Osthus), J. Combinatorial Theory B, 121, 85-145 (2016).
- 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).
Notes
Conference and Seminar Talks
- Combinatorics workshop, British Mathematical Colloquium, June 2018 (invited)
- London Colloquia in Combinatorics, Queen Mary, May 2018 (invited)
- Number theory seminar, University of Manchester, March 2018 (invited)
- Seminar on Combinatorics, Games and Optimisation, LSE, February 2018 (invited)
- Combinatorics seminar, University of Birmingham, February 2018 (invited)
- Combinatorics seminar, University of Oxford, January 2018
- Eurocomb 2017, TU Wien, August 2017
- Novi Sad Workshop on Foundations of Computer Science, University of Novi Sad, July 2017
- Combinatorics seminar, University of Cambridge, May 2017 (invited)
- Pure and Applied Mathematics Colloquium, Open University, January 2017 (invited)
- Combinatorics seminar, University of Warwick, November 2016
- Combinatorics seminar, FU Berlin, May 2016 (invited)
- Young Mathematicians' Colloquium, University of Birmingham, April 2016 (invited)
- Eurocomb, University of Bergen, September 2015
- British Combinatorial conference, University of Warwick, July 2015
- Combinatorics seminar, University of Bristol, March 2015 (invited)
- Combinatorics seminar, University of Birmingham, November 2014
- Polish Combinatorial Conference, Będlewo, September 2014
- Eurocomb, Pisa, September 2013
- RSA, Poznań , August 2013
- Combinatorics seminar, University of Birmingham, October 2012
- Polish Combinatorial Conference, Będlewo, September 2012
- Postgraduate Combinatorial Conference, University of Warwick, August 2012
Other Events
- Combinatorics seminar, University of Warwick, Autumn 2017/2018, (co-organiser with John Haslegrave).
- Clique densities mini-course by Christian Reiher, University of Warwick, 8-9 November 2017 (organiser).
- Conference on Extremal Combinatorics, University of Warwick, 18-22 September 2017 (co-organiser with Oleg Pikhurko).
- One day Birmingham-Warwick combinatorics meeting, University of Warwick, 9th June 2017 (co-organiser with Oleg Pikhurko).
- Panel discussion, Women in Mathematics exhibition, University of Cambridge, April 2017 (invited)