Georg Menz UCLA Mathematics Department Box 951555 Los Angeles, CA 90095-1555 Phone: +1 (310) 496-9033 EMAIL: gmenz@math.ucla.edu HOMEPAGE: www.math.ucla.edu/ gmenz/ July 28, 2018 RESEARCH INTERESTS: Probability and PDE with applications in statistics, combinatorics, computations, finance, functional analysis and mathematical physics, Analysis of stochastic processes, Spin systems, Limit shapes and variational principles. POSITIONS Winter 2016 Fall 2015 Assistant Professor, tenure track Mathematics Department, UCLA, USA Berlekamp Endowed Postdoctoral Fellow Mathematical Sciences Research Institute, Berkeley, USA 2013-2015 Szegö Assistant Professor Department of Mathematics Stanford University, USA 2011-2012 Researcher Research group of Felix Otto Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany EDUCATION 2007-2011 Ph.D. in MATHEMATICS, University of Bonn, Germany Advisor Felix Otto 2001-2006 Diploma in MATHEMATICS with minor subject PSYCHOLOGY University of Konstanz, Germany Advisor Reinhard Racke 2003-2004 Studies abroad at Universdade Estadual de Campinas, Brasil Internship in quality assurance at BSH, Hortolândia, Brasil
AWARDS 2007 DMV-price of the German Mathematical Society for diploma thesis 2006 VEUK-price, best graduate in mathematics at University of Konstanz 2004-2006 Scholarship of Cusanuswerk, gifted education GRANTS 2014-2019 AIM SQuaRE Displacement convexity for interacting Markov chains 2014 NSF travel award PUBLICATIONS The quantitative hydrodynamic limit of the Kawasaki dynamics. (with D. Dizdar, F. Otto and T. Wu), arxiv:1807.09850, (2018). Toward a quantitative theory of the hydrodynamic limit. (with D. Dizdar, F. Otto and T. Wu), arxiv:1807.09857, (2018). Uniform LSI for the canonical ensemble on the 1d-lattice with strong, attractive, finite-range interaction. (with Y. Kwon), arxiv:1807.04333, (2018). Decay of correlations and uniqueness of the infinite-volume Gibbs measure of the canonical ensemble of 1d-lattice systems. (with Y. Kwon), arxiv:1807.03891, (2018). Strict convexity of the free energy of the canonical ensemble under decay of correlations. (with Y. Kwon), Journal of Statistical Physics, 172(4):927979, (2018). A quenched variational principle for discrete random maps. (with A. Krieger), arxiv:1710.11330, (2017). Ricci curvature bounds for weakly interacting Markov chains. (with M. Erbar, C. Henderson and P. Tetali), Electron. J. Probab. Vol. 22, No. 40, 1-23, (2017). A variational principle for a non-integrable model. (with M. Tassy), under revision, Probability Theory and Related Fields, arxiv:1610.08103, (2016). A robust quantitative local central limit theorem with applications to enumerative combinatorics and random combinatorial structures. (with S. DeSalvo), arxiv:1610.07664, (2016). Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction. (with C. Henderson), Stochastic Process. Appl. 126, no. 10, 2877-2912, (2016). Approximate tensorization of entropy at high temperature. (with P. Caputo and P. Tetali), Ann. Fac. Sci. Toulouse Math. (6) 24, no. 4, 691-716, (2015). Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential. (with M. Fathi), arxiv:1405.3327, (2014). The approach of Otto-Reznikoff revisited. Electronic Journal of Probability 19, no. 107, 1-27, (2014). A Brascamp-Lieb type covariance estimate. Electronic Journal of Probability 19, no. 78, 1-15, (2014).
Decay of Correlations in 1D Lattice Systems of Continuous Spins and Long-Range Interaction. (with R. Nittka), Journal of Statistical Physics 156 (2), 239-267, (2014). Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape. (with A. Schlichting), Annals of Probability 42 (5), 1809-1884, (2014). Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. (with F. Otto), Annals of Probability 41 (3B), 2182-2224, (2013). LSI for Kawasaki dynamics with weak interaction. Communications in Mathematical Physics 307, 817-860, (2011). Equilibrium dynamics of continuous unbounded spin systems. Dissertation, University of Bonn, (2011). Exponential stability of wave equations with potential and indefinite damping. Journal of Differential Equations 242, 171-191, (2007). TEACHING UCLA Concentration of measure, Math 285K, Spring 2018 Intro to Probability and Statistics: Part 2 Statistics, Math 170 S, Spring 2018 Undergraduate Probability I & II, Math 170 A & B, Winter 2018 Graduate Probability I, Math 275A, Fall 2016 Graduate Probability III, Math 275C, Spring 2016 Graduate Probability II, Math 275B, Winter 2016, Winter 2017 Stanford University Introduction to Financial Mathematics, Spring 2015 Computation and Simulation in Finance, Spring 2015 Partial Differential Equations and Diffusion Processes, Winter 2015 Calculus Accelerated, Winter 2015 Elementary Functional Analysis, Spring 2014, Spring 2013 Ordinary Differential Equations with Linear Algebra, Winter 2014 Partial Differential Equations I, Fall 2013 Linear Algebra and Differential Calculus of Several Variables, Winter 2013 Short course on Equilibrium dynamics of continuous unbounded spin systems, Winter 2013. University of Bonn Undergraduate seminar on Dynamical Systems, Spring 2009, Spring 2008 Graduate seminar on Weak Convergence Methods for Nonlinear Partial Differential Equations, Spring 2007 INVITED SEMINAR TALKS 2018 UC San Diego, University of Arizona, MPI-MIS-Leipzig 2017 University of Konstanz 2016 UC San Diego, MPI Leipzig, USC, UC Irvine 2015 UBC, UC Irvine, Stanford University, Columbia University, UC Berkeley, MSRI Berkeley 2014 Princeton University, Duke University, Stanford University, Georgia Institute of Technology, UCLA, Carnegie Mellon 2013 UC Davis, University of Delaware, Stanford University 2012 Roma Tre University, Ecole des Ponts ParisTech, University of Toulouse, University of Padua, University of Konstanz 2011 Technion Haifa, University of Warwick
INVITED CONFERENCE PRESENTATIONS Oct 2018 Sep 2018 May 2018 Mar 2018 Dez 2016 Dez 2016 Mar 2016 Jul 2014 Jun 2013 Sep 2012 May 2012 Dec 2011 Nov 2011 Sep 2011 Sep 2011 Nov 2010 Jan 2010 KMS-DMV joint meeting, Seoul KMS probability workshop, Seoul National University Southern California Discrete Math Symposium, Los Angeles Frontier Probability Days, Corvallis Southern California Probability Symposium, Los Angeles Workshop Heat Kernels, Stochastic Processes and Functional Inequalities, Oberwolfach Workshop Young European Probabilists, Eindhoven. AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session SS88: Stochastic processes and spectral theory for partial differential equations and boundary value problems, Madrid SIAM Conference on Mathematical Aspects of Materials Science, Session: Analysis and Computations for Non-equilibrium Molecular Systems, Philadelphia Journes MAS, Session Inégalités Fonctionnelles, Clermont-Ferrand Workshop on Large Scale Behavior of Random Spatial Models, University of Warwick Workshop on Variational Methods for Evolution, Mathematisches Forschungsinstitut Oberwolfach Workshop on Recent Trends in Differential Equations: Analysis and Discretization Methods, Bielefeld University Workshop on Metastability and Stochastic Processes, Ecole des Ponts ParisTech, Paris 5th International Conference on Stochastic Analysis and its Applications, University of Bonn Berlin-Leipzig Seminar on Analysis and Probability Theory, Max-Planck Institute for Mathematics in the sciences, Leipzig First CIRM-HCM Joint Meeting, Stochastic Analysis, SPDE s, Particle Systems and Optimal Transport, Levico STUDENTS 2016 Andrew Krieger, Younghak Kwon, Tianqi Wu graduate students, University of California, Los Angeles 2014 Dante Vela, undergraduate student supported by the Stanford Undergraduate Research Institute in Mathematics 2013-2015 Chris Henderson, graduate student Stanford University
SERVICE Departmental service Search Committee, 2018-19 Search Committee, 2017-18 TA training, 2017-18 Oversight committee for the financial actuarial major, 2017-18 Math-econ steering committee, 2017-18 Honors committee, 2017-18 Undergraduate studies committee, 2016-17 Mentoring of postgraduates PhD committees Referee Community Stephen DeSalvo, Alpar Richard Meszaros, Pierre-Francois Rodruiguez, Wenpin Tang, Martin Tassy Saran Ahuja, Björn Bringmann, Julian Gold, Chris Henderson Jeffrey Lin, Maria Ntekoume Annals of Probability, ARMA, Commun. Math. Physics, Differential and Integral Equations, E. Journal of Prob., PTRF, Rev. Math. Iber. Science committee of Topanga Elementary Charter School, Mentor at Manzanita School