I am an assistant professor at the mathematical institute of Utrecht University. Before joining Utrecht University, I was a researcher at the Centrum Wiskunde & Informatica (CWI). Prior to that I did postdocs in Eindhoven and in Tel Aviv, and before that I did my doctorate in Oxford under the supervision of Colin McDiarmid. Before starting my doctorate, I worked for a couple of years as a statistical consultant at CANdiensten b.v.

I organize the Stochastics Seminar in Utrecht.

Until very recently my research was supported by a VENI grant from Netherlands Organization for Scientific Research (NWO). Thank you NWO!

This term, I am teaching the first year undergraduate course Inleiding Kansrekening en Statistiek (WISB161). Last term, I taught the third year undergraduate course Project (WISB302), and the master course Probabilistic and Extremal Combinatorics (WISM561) (the latter course was joint with Ross Kang). Last year I taught the master course Modern Theory of Markov Chains (WISS133). This year, the Markov chains course is in the able hands of Siamak Taati.

I work in combinatorics and probability. My research interests include graphs in various flavours (random, extremal, coloured, fractional), percolation, discrete and stochastic geometry, random matrices, asymptotic and probabilistic combinatorics and combinatorial games.

Here are preprint versions of some of my research articles.

• T. Müller, Two point concentration in random geometric graphs, Combinatorica, Volume 28, Issue 5, Pages 529-545;

• T. Müller, R.J. Waters, Circular choosability is rational, Journal of Combinatorial Theory series B, Volume 99, Issue 5, Pages 801-813;

• R.W. van der Hofstad, W. Kager, T. Müller, A local limit theorem for the critical random graph, Electronic Communications in Probability, Volume 14, Pages 122-131;

• J. Balogh, B. Bollobás, M. Krivelevich, T. Müller, M. Walters, Hamilton cycles in random geometric graphs, Annals of Applied Probability, Volume 21, Issue 3, Pages 1053-1072.
  (A preprint -- with only one coauthor -- on the arxiv.);

• M. Basavaraju, L.S. Chandran, N. Cohen, F. Havet, T. Müller, Acyclic edge-colouring of planar graphs, SIAM journal on discrete mathematics, Volume 25, Issue 2, Pages 463-478.
  (Preliminary version -- with only two coauthors -- in Eurocomb 2009);

• R.A. Hauser, T. Müller, Conditioning of random conic systems under a general family of input distributions, Foundations of Computational Mathematics, Volume 9, Issue 3, Pages 335-358.
  (A preprint version in the Oxford University Numerical Analysis techreport series-- with some results that did not make it to the final version.);

• L. Addario-Berry, R.J. Kang, T. Müller, Acyclic dominating partitions, Journal of Graph Theory, Volume 64, Issue 5, Pages 292-311;

• R.J. Kang, T. Müller, Frugal, acyclic and star colourings of graphs, Discrete Applied Mathematics, Volume 159, Issue 16, Pages 1806-1814;

• M. Bradonjic, T. Müller, A. G. Percus, Coloring geographical threshold graphs, Discrete Mathematics & Theoretical Computer Science, Vol 12, No 3, Pages 103-114;

• T. Müller, A. Pór, J.-S. Sereni, Graphs with four boundary vertices, Electronic journal of Combinatorics, Volume 18, Issue 1, Paper 11, 18 pages;

• F. Havet, R.J. Kang, T. Müller, J.-S. Sereni, Circular choosability, Journal of Graph Theory, Volume 61, Issue 4 , Pages 241 - 270;

• T. Müller, A. Pór, J.-S. Sereni, Bounding the boundary by the minimum and the maximum degree, Discrete Mathematics, Volume 308, Issue 24, Pages 6581-6583;

• T. Müller, J.-S. Sereni, Identifying and locating-dominating codes in (random) geometric networks, Combinatorics, Probability and Computing, Volume 18, Issue 6, Pages 925-952;

• R.J. Kang, T. Müller, J.-S. Sereni, Improper colouring of (random) unit disk graphs, Discrete Mathematics, Volume 308, Issue 8, Pages 1438-1454;

• T. Müller, X. Pérez-Giménez, N. Wormald, Disjoint Hamilton cycles in the random geometric graph, Journal of Graph Theory, Volume 68, Issue 4, pages 299–322;

• R.J. Kang, L. Lovász, T. Müller, E.R. Scheinerman, Dot product representations of planar graphs, Electronic Journal of Combinatorics, Volume 18, Issue 1, Paper 216, 14 pages.
  (preliminary version - with only one co-author - in GD 2010);

• C.J.H. McDiarmid, T. Müller, On the chromatic number of random geometric graphs, Combinatorica, Volume 31, Number 4, Pages 423-488;

• R.J. Kang, T. Müller, Sphere and dot product representations of graphs, Discrete and Computational Geometry, Volume 47, Number 3, Pages 548-568.
  (Preliminary version in SoCG 2011);

• A. Beveridge, A. Dudek, A. Frieze, T. Müller, Cops and robbers on geometric graphs, Combinatorics, Probability and Computing, Volume 21, Issue 06, Pages 816-834;

• R.J. Kang, M. Mnich, T. Müller, Induced matchings in subcubic planar graphs, SIAM Journal on Discrete Mathematics, Volume 26, Issue 3, Pages 1383–1411.
  (preliminary version in ESA 2010);

• C.J.H. McDiarmid, T. Müller, Integer realizations of disk and segment graphs, Journal of Combinatorial Theory Series B, Volume 103, Issue 1, Pages 114–143.
  (Preliminary version in WG 2010);

• T. Müller, E. J. van Leeuwen, J. van Leeuwen, Integer Representations of Convex Polygon Intersection Graphs, SIAM Jounal on Discrete Mathematics, Volume 27, Issue 1, Pages 205–231.
  (Preliminary version in SoCG 2011);

• T. Müller, M. Stojakovic, A threshold for the Maker-Breaker Clique game, Random Structures and Algorithms, to appear;

• C.J.H. McDiarmid, T. Müller, The number of disk graphs, European Journal of Combinatorics, to appear;

• T. Müller, The asymptotic distribution of the scan statistic, submitted;

• T. Müller, A counterexample to conjecture 18.5 in "Geometric Etudes in Combinatorial Mathematics", submitted;

• R.J. Kang, T. Müller, Arrangements of pseudocircles and circles, preprint;

• T. Müller, R. Spöhel, A geometric Achlioptas process, submitted.

L. Addario-Berry, J. Balogh, M. Basavaraju, A. Beveridge, B. Bollobás, M. Bradonjic, L.S. Chandran, N. Cohen, A. Dudek, A. Frieze, R.A. Hauser, F. Havet, R.W. van der Hofstad, W. Kager, R.J. Kang, M. Krivelevich, E.J. van Leeuwen, J. van Leeuwen, L. Lovász, C.J.H. McDiarmid, M. Mnich, A. Percus, X. Pérez-Giménez, A. Pór, E. R. Scheinerman, J.-S. Sereni, R. Spöhel, M. Stojakovic, M. Walters, R.J. Waters, N. Wormald.

For nostalgic reasons, I still maintain the website of a Workshop on Random Graphs that took place in Utrecht on 1 and 2 November 2012, the website of a workshop on probabilistic and algebraic methods in discrete mathematics that took place in Amsterdam on 6 December 2010, and a link to the webpage of the Postgraduate Combinatorial Conference 2005 that took place on 21-23 March 2005 in Oxford.

E-mail: t.muller at uu dot nl