个人简历

L.E. Dickson Instructor
Contact Information Personal Information Department of Mathematics, University of Chicago Date of Birth: 24, August, 1988 5734 S. University Ave., Eckhart 309, Place of Birth: Chengdu, China Chicago, IL 60637, USA Citizenship: Chinese E-mail: xinyili@uchicago.edu Website: http://math.uchicago.edu/~xli/ Research Interests: Probability theory, random walks, Brownian motion, random interlacements, random fractals, loop-erased random walk.

Education and Work 2016 - 2019 L. E. Dickson instructor, Department of Mathematics, the University of Chicago. 2012 - 2016 Dr. sc. ETH Zurich, Department of Mathematics, ETH Zurich, Switzerland, under supervision of Prof. Alain-Sol Sznitman. Title of thesis: On large deviations and disconnection for random walk and random interlacements. 2011 - 2012 M. Sc. in Mathematics, Paris Dauphine University, France, as laureate of Paris Graduate School of Mathematical Sciences. 2007 - 2011 B. Sc. in Mathematics, Peking University, Beijing, China. GPA 3.66/4, ranking 4/55.
Works (top 5 works are marked with an *)
X. Li and A.-S. Sznitman. Large deviations for occupation time profiles of random interlacements. Probability Theory and Related Fields, 161, 1-2, pp. 309-350 (2015).
* X. Li and A.-S. Sznitman. A lower bound for disconnection by random interlacements. Electronic Journal of Probability, 19, 17, pp. 1-26 (2014).
* X. Li. A lower bound for disconnection by simple random walk. Ann. Probab., 45(2):879-931, 2017.
X. Li. Percolative properties of Brownian interlacements and its vacant set. Preprint, available at arXiv:1610.08204 (35 pages). Submitted to J. Theor. Probab.
* N. Holden, G. Lawler, X. Li and X. Sun. Minkowski content of Brownian cut points. Preprint, available at arXiv:1803.10613, 32 pages, 2 figures, submitted to Ann. Inst. Henri Poincar´e.
N. Holden, X. Li and X. Sun. Natural parametrization of percolation interface and pivotal points. Preprint, available at arXiv:1804.07286, 24 pages, 1 figure.
M. Hilario, X. Li and P. Panov. Shape theorem and surface fluctuation for Poisson cylinders. Preprint, available at arXiv:1806.02469, 19 pages, 3 figures. Submitted to Electron. J. Probab.
* X. Li and D. Shiraishi. One-point function estimates for loop-erased random walk in three dimensions. Preprint, available at arXiv:1807.00541, 39 pages, 2 figures. Submitted to Electron. J. Probab.
* X. Li and D. Shiraishi. Convergence of three-dimensional loop-erased random walk in the natural parametrization. Preprint, available at arXiv:1811.11685, 74 pages, 3 figures. Submitted to Acta Math.

Seminar Talks 12/2013 Probability Seminar, Peking University. 06/2014 School and Workshop on Random Interacting Systems, University of Bath. 07/2015 Peking University Youth Probability Forum, Peking University. 11/2015 Oberseminar Stochastik, University of Cologne. 11/2015 Institute for Applied Mathematics, University of Bonn. 11/2015 Max Planck Institute for Mathematics in the Sciences, Leipzig. 11/2015 Oberseminar “Stochastic processes in physics and biology”, TU Berlin. 12/2015 Winter meeting of Canadian Mathematical Society, Montreal, Canada. 11/2016 Probability and Statistical Physics Seminar, The University of Chicago. 11/2016 Probability Seminar, Northwestern University. 02/2017 Courant Institute Probability and Mathematical Physics Seminar, New York University. 04/2017 Probability Seminar, UCLA. 09/2017 Probability Seminar, NYU Shanghai. 09/2017 Probability Seminar, Peking University. 12/2017 Probability Seminar, NYU Shanghai. 12/2017 Kansai Probability Seminar, Kyoto University. 02/2018 Probability Seminar, Stanford University. 03/2018 Discrete Mathematics and Statistical Mechanics Seminar, University of Connecticut. 04/2018 Probability Seminar, Michigan State University. 04/2018 Probability Seminar, UCLA. 05/2018 Probability Seminar, Texas A & M University. 10/2018 Statistics Seminar, University of Illinois at Chicago. 10/2018 Probability Seminar, McGill University. 11/2018 Probability Seminar, University of Illinois at Urbana-Champaign. 01/2019 Penn/Temple Probability Seminar.
Conferences 06/2014 * School and Workshop on Random Interacting Systems, University of Bath. 06/2015 Symposium: 50 years of mathematics at the FIM, ETH Zurich. 07/2015 * Peking University Youth Probability Forum, Peking University. 12/2015 * Winter meeting of Canadian Mathematical Society, Montreal, Canada. 01/2016 Random processes and random media, ETH Zurich. 10/2016 Midwest probability colloquium, Northwestern University. 03/2017 SLE, GFF and LQG in NYC, Columbia University. 06/2017 A celebration in honor of G´erard Ben Arous , New York University. 10/2017 Midwest probability colloquium, Northwestern University. 05/2018 # Seminar on Stochastic Processes, Brown University. 06/2018 Random Conformal Geometry and Related Fields, Seoul, Korea. 08/2018 * Random Walks in Correlated and Dynamic Environments, Texas A & M University. 10/2018 Midwest probability colloquium, Northwestern University. An ∗ indicates an invited talk; a # indicates contributed poster.
Academic Visits and Summer Schools 07/2013 Saint-Flour probability summer school. 07/2016 Northwestern summer school in probability. 06/2017 PIMS-CRM summer school in probability, UBC. 09/2017, 12/2017 NYU Shanghai. 12/2017, 06-07/2018 Kyoto University.
Teaching Experience • Instructor for various undergraduate and graduate courses in the University of Chicago: Probability proseminar, Methods in mathematical physics, Analysis in Rn, Probability theory. • Teaching assistant (TA) or coordinator for various undergraduate and graduate mathematics and statistics courses in ETH Zurich. • Co-supervision (jointly with A.-S. Sznitman and D. Belius) of the Master thesis of Mr. Philippe Deprez (Title: A shape theorem for the internal distance on the interlacement set, 2013). • Coach for students in High School No.7 in Chengdu on Chinese Math Olympiad.
Awards and Honors 2012 ZJU-FQC Scholarship for Chinese students in France. 2011 Scholarship recipient of Paris Graduate School of Mathematical Sciences. 2010 Tung OOCL Scholarship. 2009 Hui-Chun Chin and Tsung-Dao Lee Chinese Undergraduate Research Grant “Context-free speaker recognition based on GMM with self-adaptive model selection”. 2008 & 2009 Meritorious Prize in the Mathematical Contest of Modeling. 2008 Mong Man-Wai Scholarship for “Mainland-Hong Kong Student Exchange Project”. 2007 First Prize in Chinese Mathematical Olympiad. 2006 & 2007 Shortlisted for Chinese national team to International Mathematical Olympiad. 2005 Second place in Western China Mathematical Olympiad.
Community Contributions • I am one of the main organizers of the probability and statistical physics seminar in the University of Chicago. • I am a reviewer for Mathematical Reviews of the American Mathematical Society. • I am serving as a temporary member of the Scientific Committee for 41th Midwest Probability Colloquium.
Languages
Chinese: native. English: fluent (written and spoken). French: intermediate (spoken) to fluent (written). German: intermediate (written and spoken). Japanese: intermediate (written). Latin: intermediate (written).

研究领域

研究方向： 概率论，随机几何，统计物理