Robert Hancock
I am a Postdoctoral Research Associate in the Combinatorics group at the University of Oxford, supervised by Peter Keevash. My research interests lie in extremal and probabilistic combinatorics, Ramsey theory and additive combinatorics.
Previously I have held postdoc positions at Heidelberg University (with Felix Joos, funded by a Humboldt research fellowship), Masaryk University in Brno (with Dan Kráľ) and the Czech Academy of Sciences (with Jan Hladký). Before that I was a PhD student at the University of Birmingham under the supervision of Andrew Treglown. For the final semester of my PhD studies I visited Victor Falgas-Ravry at Umeå University as an Erasmus exchange student. Before my PhD I completed an MMath at the University of St Andrews. See full details in my CV.
Profiles: [Arxiv] [Orcid] [GoogleScholar]
Contact Details
Address: Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK.
Email: robert.hancock -at- maths.ox.ac.uk
Office: N2.06
Preprints and publications
Preprints:
Typical Ramsey properties of the primes, abelian groups and other discrete structures (with Andrea Freschi and Andrew Treglown) [arxiv]
Thresholds for constrained Ramsey and anti-Ramsey problems (with Natalie Behague, Joseph Hyde, Shoham Letzter and Natasha Morrison) [arxiv]
Proof of the Kohayakawa-Kreuter conjecture for the majority of cases (with Candida Bowtell and Joseph Hyde) [arxiv]
Immersions of directed graphs in tournaments (with António Girão) [arxiv]
Papers:
Two Ramsey problems in blowups of graphs (with António Girão, European Journal of Combinatorics, 120 (2024), article no. 103984) [arxiv] [journal]
Limits of Latin squares (with Frederik Garbe, Jan Hladký and Maryam Sharifzadeh, Discrete Analysis, 8 (2023)) [arxiv] [journal]
Rectilinear approximation and volume estimates for hereditary bodies via [0,1]-decorated containers (with Victor Falgas-Ravry, Johanna Strömberg and Andrew Uzzell, Journal of Graph Theory, 104 (2023), 104-132) [arxiv] [journal]
No additional tournaments are quasirandom-forcing (with Adam Kabela, Daniel Král', Taísa Martins, Roberto Parente, Fiona Skerman and Jan Volec, European Journal of Combinatorics, 108 (2023), article no. 103632 ) [arxiv] [journal]
Towards characterizing locally common graphs (with Daniel Král', Matjaž Krnc and Jan Volec, Random Structures & Algorithms, 62 (2023), 181-218) [arxiv] [journal]
An asymmetric random Rado theorem for single equations: the 0-statement (with Andrew Treglown, Random Structures & Algorithms, 60 (2022), 529-550) [arxiv] [journal]
Coloring graphs by translates in the circle (with Pablo Candela, Carlos Catalá, Adam Kabela, Daniel Král', Ander Lamaison and Lluís Vena, European Journal of Combinatorics, 96 (2021), article no. 103346, 18pp.) [arxiv] [journal]
Long paths and connectivity in 1-independent random graphs (with A. Nicholas Day and Victor Falgas-Ravry, Random Structures & Algorithms, 57 (2020), 1007-1049) [arxiv] [journal]
Independent sets in hypergraphs and Ramsey properties of graphs and the integers (with Katherine Staden and Andrew Treglown, SIAM Journal on Discrete Mathematics, 33 (2019), 153-188) [arxiv] [journal]
The Maker-Breaker Rado game on a random set of integers (SIAM Journal on Discrete Mathematics, 33 (2019), 68-94) [arxiv] [journal]
On solution-free sets of integers II (with Andrew Treglown, Acta Arithmetica, 180 (2017), 15-33) [arxiv] [journal]
On solution-free sets of integers (with Andrew Treglown, European Journal of Combinatorics, 66 (2017), 110-128) [arxiv] [journal]
Conference Papers:
A resolution of the Kohayakawa-Kreuter conjecture for the majority of cases (with Candida Bowtell and Joseph Hyde, European Conference on Combinatorics, Graph Theory and Applications, 12 (2023), 178-185) [journal]
Theory of limits of sequences of Latin squares (with Frederik Garbe, Jan Hladký and Maryam Sharifzadeh, Acta Mathematica Universitatis Comenianae, 88 (2019), 709-716) [journal]
Enumerating solution-free sets in the integers (with Andrew Treglown, Electronic Notes in Discrete Mathematics, 56 (2016), 21-30) [journal]
Conferences, Workshops and Seminars
Talks:
Combinatorics Seminar, University of Warwick, 15th May 2024
Combinatorial Theory Seminar, University of Oxford, 6th February 2024
Seminar on Combinatorics, Games and Optimisation, London School of Economics, 1st February 2024
An Autumn Day of Combinatorics, University of Birmingham, 3rd November 2023
Discrete Mathematics Seminar, Umeå University, 19th October 2023
European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'23), Charles University, Prague, 28th August-1st September 2023
The 21st International Conference on Random Structures and Algorithms, Carnegie Mellon University, Pittsburgh, 12th-16th June 2023
CanaDAM 2023, University of Manitoba and University of Winnipeg, Winnipeg, 5th-8th June 2023
Discrete Mathematics Seminar, University of Victoria, 1st June 2023
Discrete Mathematics Seminar, TU Ilmenau, 3rd May 2023
39th Colloquium on Combinatorics (Kolkom 2022), Paderborn, 18th-19th November 2022
The 20th International Conference on Random Structures and Algorithms, Gniezno, 1st-5th August 2022
Third Southwestern German Workshop on Graph Theory, Heidelberg University, 27th June-1st July 2022
28th British Combinatorial Conference, Durham University, 5th-9th July 2021
55th Czech-Slovak Conference on Graph Theory 2020, Masaryk University, 17th-20th August 2020.
Graph Theory Seminar, UWB Pilsen, 10th December 2019
Joint DIMEA and FORMELA seminar, Masaryk University, 18th November 2019
27th British Combinatorial Conference, University of Birmingham, 29th July-2nd August 2019
The 19th International Conference on Random Structures and Algorithms, ETH Zurich, 15th-19th July 2019
CanaDAM 2019, Simon Fraser University, Vancouver, 28th-31st May 2019
Combinatorics Seminar, University of Warwick, 27th November 2018
Combinatorics Seminar, Czech Academy of Sciences, Prague, 23rd November 2018
Discrete Mathematics Seminar, Umeå University, 24th January 2018
DIMAP Seminar, University of Warwick, 9th January 2018
Extremal Combinatorics, University of Warwick, 18th-22nd September 2017
The 18th International Conference on Random Structures and Algorithms, Gniezno, 7th-11th August 2017
26th British Combinatorial Conference, University of Strathclyde, 3rd-7th July 2017
Barcelona Combinatorics Seminar, 6th June 2017
Scottish Combinatorics Meeting 2017, University of St Andrews, 24th-25th April 2017
SIAM Discrete Mathematics, Georgia State University, Atlanta, Georgia, USA, 6th-10th June 2016
Scottish Combinatorics Meeting 2016, University of Glasgow, 26th-27th April 2016
1st IMA Conference on Theoretical and Computational Discrete Mathematics, University of Derby, 22nd-23rd March 2016
Birmingham Combinatorics Seminar, 18th January 2016
Posters:
LMS-EMS Mathematical Weekend, University of Birmingham, September 18th-20th, 2015 (award for best postgraduate poster)
Teaching
Heidelberg University:
Seminar Leader: Topics on discrete structures (Summer 2022)
Lecturer: Discrete Structures I (Winter 2021)
Seminar Leader: Combinatorial Optimization (Summer 2021)
Seminar Leader: Algorithms for computationally hard problems (Winter 2020)
Masaryk University:
Tutorial Group Leader: Graph Theory (Autumn 2019)
University of Birmingham: Postgraduate Teaching Assistant:
Numerical Programming (Spring 2017)
Multivariate Analysis (Spring 2016, Spring 2017, Autumn 2017)
Communication Theory and Combinatorics (Autumn 2015, Autumn 2017)
Algebra & Combinatorics 2 (Autumn 2015)
Linear Algebra (Autumn 2014)
Number Theory (Autumn 2014)
1st year support class and computer lab demonstrating (Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Autumn 2017)