Dr Robert JohnsonSenior Lecturer in Pure MathematicsEmail: r.johnson@qmul.ac.ukTelephone: +44 (0)20 7882 5480Room Number: Mathematical Sciences Building, Room: MB-422Website: http://www.maths.qmul.ac.uk/~jrjProfileResearchPublicationsSupervisionProfileRobert Johnson is a member of the Combinatorics group in the School of Mathematical Sciences. He has research interests in several areas of combinatorics, particularly extremal problems on graphs, set systems and permutations, and the combinatorics of the discrete hypercube.Having completed his PhD at the University of Cambridge in 2003, he joined Queen Mary in 2004 following a brief spell at the London School of Economics.ResearchResearch Interests:See Robert Johnson’s research profile pages including details of research interests, publications, and live grants. Publications Walters M, Johnson JR (2024). Optimal Resistor Networks Mathematika nameOfConference. 10.1112/mtk.12278 https://qmro.qmul.ac.uk/xmlui/handle/123456789/98921 Janzer B, Johnson JR, Leader I (2023). Partial Shuffles by Lazy Swaps SIAM Journal on Discrete Mathematics nameOfConference. 10.1137/22m1530677 https://qmro.qmul.ac.uk/xmlui/handle/123456789/91987 Johnson JR, Wickes B (2024). Shattering k-sets with Permutations Order nameOfConference. 10.1007/s11083-023-09637-7 https://qmro.qmul.ac.uk/xmlui/handle/123456789/89131 Johnson JR, Pinto T (2020). The $Q_2$-Free Process in the Hypercube The Electronic Journal of Combinatorics nameOfConference. 10.37236/8864 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/69082 Behague NC, Johnson JR (2020). Synchronizing Times for $k$-sets in Automata journal nameOfConference. 10.48550/arxiv.2008.12166 qmroHref Johnson J, Leader I, Long E (2020). Correlation for permutations Journal of Combinatorial Theory: Series A nameOfConference. 10.1016/j.jcta.2020.105260 https://qmro.qmul.ac.uk/xmlui/handle/123456789/64103 JOHNSON JR, Leader I, Walters M (2017). Transitive Avoidance Games The Electronic Journal of Combinatorics nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/22494 JOHNSON JR, Day A (2017). Multicolour Ramsey Numbers of Odd Cycles Journal of Combinatorial Theory, Series B nameOfConference. 10.1016/j.jctb.2016.12.005 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/18964 JOHNSON JR (2016). Saturated Subgraphs of the Hypercube Combinatorics, Probability and Computing nameOfConference. 10.1017/S0963548316000316 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/15713 JOHNSON JR, LEADER I, RUSSELL PA (2015). Set Systems Containing Many Maximal Chains Combinatorics Probability Computing nameOfConference. 10.1017/s0963548314000510 qmroHref Johnson JR, Markstrom K (2013). Turan and Ramsey Properties of Subcube Intersection Graphs COMBINATORICS PROBABILITY & COMPUTING nameOfConference. 10.1017/S0963548312000429 qmroHref Johnson JR (2011). An inductive construction for Hamilton cycles in Kneser graphs ELECTRON J COMB nameOfConference. doi qmroHref Balister P, Bollobas B, Johnson JR et al. (2010). Random Majority Percolation RANDOM STRUCT ALGOR nameOfConference. 10.1002/rsa.20281 qmroHref Johnson JR, Talbot J (2010). Vertex Turan problems in the hypercube J COMB THEORY A nameOfConference. 10.1016/j.jcta.2009.07.004 qmroHref Baber R, Johnson JR, Talbot J (2010). The minimal density of triangles in tripartite graphs LMS J COMPUT MATH nameOfConference. 10.1112/S1461157009000436 qmroHref Johnson JR (2009). Universal cycles for permutations Discrete Mathematics nameOfConference. 10.1016/j.disc.2007.11.004 qmroHref Johnson JR, Talbot J (2008). G-intersection theorems for matchings and other graphs COMB PROBAB COMPUT nameOfConference. 10.1017/S0963548308009206 qmroHref Johnson JR (2004). A disproof of the Fon-der-Flaass conjecture COMB PROBAB COMPUT nameOfConference. 10.1017/S0963548303005960 qmroHref JOHNSON JR, Kierstead HA (2004). Explicit 2-Factorisations of the Odd Graph Order nameOfConference. 10.1007/s11083-004-3344-x qmroHref Johnson JR (2004). Long cycles in the middle two layers of the discrete cube J COMB THEORY A nameOfConference. 10.1016/j.jeta.2003.11.004 qmroHref SupervisionPrevious PhD students supervised: Trevor Pinto (completed 2016) A Nicholas Day (completed 2017) Natalie Behague (completed 2020) Current PhD students: Belinda Wickes Asier Calbet Ripodas I welcome enquiries from potential PhD applicants.