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Martin Weigel

    Accepting PhD Students

    PhD projects

    - machine learning in statistical physics - random-field Potts model - population annealing - coarsening in active matter


    Research output per year

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    Personal profile


    Martin Weigel studied physics, philosophy and economics at Mainz University. After earning his PhD in physics from the University of Leipzig working on the dynamical triangulations approach to quantum gravity, he went to the University of Waterloo, Canada as a postdoctoral fellow to work on disordered spin systems using methods of combinatorial and heuristic global optimization.

    Starting in 2005, he spent two years at Heriot-Watt University, Edinburgh, with an Individual Marie Curie Fellowship of the European Commission to continue his work on quantum gravity. In 2008 Martin won a bid for a prestigious Emmy Noether Research Group of the German Physical Society working on disordered systems which he established in Mainz. In 2011, he was appointed a Senior Lecturerer in Mathematics at Coventry University. Since 2013, he has been a Reader in Theoretical Physics.

    Research Interests

    Advancement of Monte Carlo methodology; Geometric disorder from fractal random graphs; Annealed disorder and dynamical triangulations; Nucleation and domain growth in random systems; Monte Carlo simulations without detailed balance; Complex magnetic materials: spin glasses and random fields; Modelling social systems in the framework of statistical mechanics; Amplitude-exponent relations for three-dimensional O(n) spin models; Harvesting GPU computational power for simulations of lattice spin models ; Heuristic optimisation and Monte Carlo simulation for complex energy landscapes

    Vision Statement

    I use a combination of analytical approaches and phenomenological scaling theory with cutting-edge numerical simulation and heuristic optimisation techniques to address problems in phase transitions and critical phenomena. These include spin glasses and random-field systems with a wealth of applications in technologically relevant materials as well as disordered structures such as random surfaces and complex networks. Beyond condensed-matter physics, my interests range from sports statistics to the theory of quantum gravity.

    PhD Project

    I am constantly looking for highly skilled and motivated students tp pursue an internship or project placement, a Masters by Research, or a PhD. If you have interests and a background in theoretical and computational physics, please get in touch with me and check


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