Dr Mark WaltersReader in Pure MathematicsEmail: m.walters@qmul.ac.ukTelephone: +44 (0)20 7882 5446Room Number: Mathematical Sciences Building, Room: MB-427Website: http://www.maths.qmul.ac.uk/~waltersOffice Hours: Please email for an appointmentProfileResearchPublicationsProfileMark Walters is a Reader in Pure Mathematics and the Director of Education for the School of Mathematical Sciences. His research interests are in Combinatorics, particularly Random Combinatorics, including Percolation. Before joining Queen Mary he completed a PhD at the University of Cambridge, and then held a research fellowship in Trinity College, Cambridge followed by a teaching fellowship at Peterhouse, Cambridge. ResearchResearch Interests:I am a member of the Combinatorics research group. I have interests in many parts of combinatorics but particularly in random combinatorial structures.Publications Ivan M-R, Leader I, Walters M (2022). Constructible graphs and pursuit Theoretical Computer Science nameOfConference. 10.1016/j.tcs.2022.07.023 qmroHref Leader I, Letzter S, Narayanan B et al. (2019). Product-free sets in the free semigroup European Journal of Combinatorics nameOfConference. 10.1016/j.ejc.2019.103003 https://qmro.qmul.ac.uk/xmlui/handle/123456789/62224 Balister P, Bollobás B, Gunderson K et al. (2018). Random geometric graphs and isometries of normed spaces Transactions of the American Mathematical Society nameOfConference. 10.1090/tran/7420 https://qmro.qmul.ac.uk/xmlui/handle/123456789/26943 Balister P, Bollobas B, Haenggi M et al. (2017). Sentry selection in senso rnetworks: theory and algorithms INTERNATIONAL JOURNAL OF SENSOR NETWORKS nameOfConference. 10.1504/IJSNET.2015.10001255 https://qmro.qmul.ac.uk/xmlui/handle/123456789/19029 JOHNSON JR, Leader I, Walters M (2017). Transitive Avoidance Games The Electronic Journal of Combinatorics nameOfConference. doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/22494 Balister PB, Bollobas B, Furedi Z et al. (2016). Subtended Angles Israel Journal of Mathematics nameOfConference. 10.1007/s11856-016-1370-1 https://qmro.qmul.ac.uk/xmlui/handle/123456789/14877 Erde J, Walters M (2016). An n-in-a-row type game ELECTRONIC JOURNAL OF COMBINATORICS nameOfConference. doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/17988 Balister P, Bollobás B, Sarkar A et al. (2009). A critical constant for the k nearest-neighbour model Advances in Applied Probability nameOfConference. 10.1017/s0001867800003116 qmroHref Balister P, Bollobás B, Sarkar A et al. (2005). Connectivity of random k-nearest-neighbour graphs Advances in Applied Probability nameOfConference. 10.1017/s000186780000001x qmroHref Balister P, Bollobás B, Walters M (2009). Random transceiver networks Advances in Applied Probability nameOfConference. 10.1017/s0001867800003311 qmroHref Balister P, Bollobás B, Sarkar A et al. (2010). Sentry Selection in Wireless Networks Advances in Applied Probability nameOfConference. 10.1017/s0001867800003888 qmroHref Falgas-Ravry V, Walters M (2012). Sharpness in the k-Nearest-Neighbours Random Geometric Graph Model Advances in Applied Probability nameOfConference. 10.1017/s0001867800005802 qmroHref Russell PA, Walters M (2013). Probably Intersecting Families are Not Nested COMBINATORICS PROBABILITY & COMPUTING nameOfConference. 10.1017/S0963548312000387 qmroHref Falgas-Ravry V, Walters M (2012). SHARPNESS IN THE k-NEAREST-NEIGHBOURS RANDOM GEOMETRIC GRAPH MODEL ADVANCES IN APPLIED PROBABILITY nameOfConference. 10.1239/aap/1113402397 qmroHref Walters M (2012). Small components in k-nearest neighbour graphs DISCRETE APPLIED MATHEMATICS nameOfConference. 10.1016/j.dam.2012.03.033 qmroHref Bollobas B, Leader I, Walters M (2012). Lion and man-can both win? ISRAEL JOURNAL OF MATHEMATICS nameOfConference. 10.1007/s11856-011-0158-6 qmroHref Leader I, Russell PA, Walters M (2012). Transitive sets in Euclidean Ramsey theory JOURNAL OF COMBINATORIAL THEORY SERIES A nameOfConference. 10.1016/j.jcta.2011.09.005 qmroHref Balogh J, Bollobas B, Krivelevich M et al. (2011). HAMILTON CYCLES IN RANDOM GEOMETRIC GRAPHS ANN APPL PROBAB nameOfConference. 10.1214/10-AAP718 qmroHref Leader I, Russell PA, Walters M (2011). Transitive sets and cyclic quadrilaterals Journal of Combinatorics nameOfConference. 10.4310/joc.2011.v2.n3.a6 qmroHref Balister P, Bollobas B, Johnson JR et al. (2010). Random Majority Percolation RANDOM STRUCT ALGOR nameOfConference. 10.1002/rsa.20281 qmroHref Balister P, Bollobas B, Sarkar A et al. (2010). SENTRY SELECTION IN WIRELESS NETWORKS ADV APPL PROBAB nameOfConference. 10.1239/aap/1269611141 qmroHref Balister P, Bollobas B, Walters M (2009). RANDOM TRANSCEIVER NETWORKS ADV APPL PROBAB nameOfConference. 10.1239/aap/1246886613 qmroHref Walters M (2009). Rectangles as sums of squares DISCRETE MATH nameOfConference. 10.1016/j.disc.2008.07.028 qmroHref Balister P, Bollobas B, Sarkar A et al. (2009). A CRITICAL CONSTANT FOR THE k-NEAREST-NEIGHBOUR MODEL ADV APPL PROBAB nameOfConference. 10.1239/aap/1240319574 qmroHref Balister P, Bollobas B, Sarkar A et al. (2009). Highly connected random geometric graphs DISCRETE APPL MATH nameOfConference. 10.1016/j.dam.2008.03.001 qmroHref Balister P, Bollobás B, Haenggi M et al. (2008). Sentry Selection in Sensor Networks: A Sufficient Condition for k Single Covers journal 2008 IEEE International Zurich Seminar on Communications. 10.1109/izs.2008.4497264 qmroHref Balister P, Bollobas B, Sarkar A et al. (2008). Connectivity of a Gaussian network INT J AD HOC UBIQ CO nameOfConference. 10.1504/IJAHUC.2008.018407 qmroHref Walters M (2007). Extensions of the polynomial Hales-Jewett theorem COMB PROBAB COMPUT nameOfConference. 10.1017/S0963548306008339 qmroHref Riordan O, Walters M (2007). Rigorous confidence intervals for critical probabilities PHYS REV E nameOfConference. 10.1103/PhysRevE.76.011110 qmroHref Balister P, Bollobas B, Walters M (2005). Continuum percolation with steps in the square or the disc RANDOM STRUCT ALGOR nameOfConference. 10.1002/rsa.20064 qmroHref Balister P, Bollobas B, Sarkar A et al. (2005). Connectivity of random k-nearest-neighbour graphs ADV APPL PROBAB nameOfConference. 10.1239/aap/1113402397 qmroHref WALTERS MJ, Bollobas B, Balister P (2004). Continuum percolation with steps in an annulus Annals of Applied Probability nameOfConference. 10.1214/105051604000000891 qmroHref