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WEI-KUO CHEN School of Mathematics University of Minnesota 537 Vincent Hall 206 Church St. SE, Minneapolis, MN 55455 Email: [email protected] Homepage: http://www.math.umn.edu/∼wkchen/ PARTICULAR Education Ph.D. in Mathematics, September 2009-June 2012 University of California at Irvine (UC Irvine), USA Advisor: Dr. Michael Cranston Thesis: Chaos Problem in Mean Field Spin Glasses MS in Applied Mathematics, September 2004-June 2006 National Chiao-Tung University (NCTU), Taiwan Advisor: Dr. Yuan-Chung Sheu Thesis: Mixing Time for Burnside Processes BS in Mathematics, September 2000-June 2004 National Central University (NCU), Taiwan Employment Assistant Professor, September 2015 to present School of Mathematics, University of Minnesota, USA L.E. Dickson Instructor, September 2012-August 2015 Department of Mathematics, University of Chicago, USA Research/Teaching Assistant, September 2009-June 2012 Department of Mathematics, University of California at Irvine, USA Research Assistant, April 2008-August 2009 Institute of Mathematics, Academia Sinica, Taiwan Academic Honors and Memberships Kovalevsky Outstanding Ph.D. Thesis Award, UC Irvine, 2012 Phi Tau Phi Membership, The Phi Tau Phi Scholastic Honor Society, 2003 Chow Hung-Ching Scholarship, Institute of Mathematics, Academia Sinica, Taiwan 2003 Book Prize, Department of Mathematics, NCU, 2001 & 2002 Grants and Fellowships PI, NSF DMS-1642207, 2015-2017 “Some problems on mean-field spin glasses” Co-PI, Hong Kong Research Grants Council GRF-14302515, 2016-2018 “Asymptotic Theory of Mean field Spin Glass Models” (with PI Qi-Man Shao, Professor, Department of Statistics, Chinese University of Hong Kong) AMS-Simons Travel Grant, 2014-2015 Graduate Student Researcher Stipend, UC Irvine, Spring & Winter, 2010 Departmental Fellowship, UC Irvine, 2009, Fall 2010 & Fall 2011-Spring 2012 RESEARCH Wei-Kuo Chen 2/6 Research Interests Probability theory, Stochastic dynamics, Spin glasses and Random Matrices. Preprints • (with D. Panchenko) Disorder chaos in some diluted spin glass models. Preprint available at arXiv:1703.07211 (2017) • (with A. Auffinger and Q. Zeng) The SK model is full-step replica symmetry breaking. Preprint available at arXiv:1703.06872 (2017) • (with A. Auffinger) On the energy landscape of spherical spin glasses. Preprint available at arXiv:1702.08906 (2017) • (with A. Auffinger) A duality principle in spin glasses. Preprint available at arXiv:1605.01716 (2016) • (with M. Handschy and G. Lerman) On the energy landscape of the mixed even p-spin model. To appear in Probab. Theory Related Fields. Preprint available at arXiv:1609.04368 • (with A. Auffinger) Parisi formula for the ground state energy in the mixed p-spin model. To appear in Ann. Probab. Preprint available at arXiv:1606.05335 • Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound. To appear in Ann. Probab. Preprint available at arXiv:1501.06635 • (with P. Dey and D. Panchenko) Fluctuations of the free energy in the mixed p-spin models with external field. To appear in Probab. Theory Related Fields. Preprint available at arXiv:1509.07071 Journal Publications • (with A. Sen) Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed p-spin models. Comm. Math. Phys., Vol. 350, No. 1, 129–173 (2017) • (with D. Panchenko) Temperature chaos in some spherical mixed p-spin models. J. Stat. Phys., Vol. 166, No. 5, 1151–1162 (2017) • (with D. Panchenko) Some examples of quenched self-averaging of models with Gaussian disorder. Ann. Inst. Henri Poincaré Probab. Stat., Vol. 53, No. 1, 243–258 (2017) • (with A. Auffinger) The Legendre structure of the Parisi formula. Comm. Math. Phys., Vol. 348, No. 3, 751–770 (2016) • (with A. Auffinger) Universality of chaos and ultrametricity in mixed p-spin models. Comm. Pure Appl. Math., Vol. 69, No. 11, 2107-2130 (2016) • Limit Theorems in the Imitative Monomer-Dimer Mean-Field Model via Steins Method. J. Math. Phys., Vol. 57, 083302 (2016) • (with N. Dafnis and G. Paouris) Improved Hölder and reverse Hölder inequalities for Gaussian random vectors. Adv. Math., Vol. 280, 643-689 (2015) • (with H.-W. Hsieh, C.-R. Hwang, Yuan-Chung Sheu) Disorder chaos in the spherical mean-field model. J. Stat. Phys., Vol. 160, No. 2, 417–429 (2015) • (with A. Auffinger) The Parisi formula has a unique minimizer. Comm. Math. Phys., Vol. 335, No. 3, 1429–1444 (2015) • Partial results on the convexity of the Parisi functional with PDE approach. Proc. Amer. Math. Soc., Vol. 143, 3135–3146 (2015) • (with A. Auffinger) On properties of Parisi measures. Probab. Theory Related Fields, Vol. 161, No. 3, 817–850 (2015) • (with A. Auffinger) Free energy and complexity of spherical bipartite models. J. Stat. Phys., Vol. 157, No. 1, 40–59 (2014) • Chaos in the mixed even-spin models. Comm. Math. Phys., Vol. 328, No. 3, 867-901 (2014) • On the Mixed even-spin Sherrington-Kirkpatrick Model with ferromagnetic interaction. Ann. Inst. Henri Poincaré Probab. Stat., Vol. 50, No. 1, 63–83 (2014) Wei-Kuo Chen 3/6 • The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models. Electron. J. Probab., Vol. 18, No. 94, 1–14 (2013) • (with D. Panchenko) An approach to chaos in some mixed p-spin models. Probab. Theory Related Fields, Vol. 157, No. 1, 389–404 (2013) • Disorder Chaos in the Sherrington-Kirkpatrick Model with external field. Ann. Probab., Vol. 41, No. 5, 3345–3391 (2013) • Central limit theorems for cavity and local fields of the Sherrington-Kirkpatrick model. Electron. J. Probab., Vol. 18, No. 2, 1–25 (2013) • (with T.-L. Chen, C.-R. Hwang, and H.-M. Pai) On the optimal transition matrix for MCMC sampling. SIAM J. Control Optim., Vol. 50, No. 5, 2743–2762 (2012) Conference Proceedings • On convergence of the magnetization and pure p-spin Hamiltonians at the ground state in spherical mixed p-spin models. To appear in the Proceedings of XVIII International Congress of Mathematical Physics TEACHING EXPERIENCE Assistant Professor, University of Spring 2017 MATH5651: Fall 2016 MATH1271: Spring 2016 MATH5652: Fall 2015 MATH5652: Instructor, University Spring 2015 Fall 2014 Spring 2014 Winter 2014 Spring 2013 Winter 2013 Fall 2012 of Chicago MATH16300: MATH16100: MATH16300: MATH16200: MATH16300: MATH16200: MATH16100: Teaching Assistant, UC Winter 2012 Spring 2012 Fall 2011 Summer 2011 Grader, UC Irvine Spring 2009 Winter 2009 Winter 2009 Fall 2009 Minnesota Probability and Statistics (2 Sections) Calculus Introduction to Stochastic Processes Introduction to Stochastic Processes Honors Honors Honors Honors Honors Honors Honors Calculus Calculus Calculus Calculus Calculus Calculus Calculus III & MATH20500: Analysis in Rn III I & MATH20300: Analysis in Rn I III II III & MATH22000: Intro Math Methods For Physics II I Irvine MATH205C: Introduction to Graduate Analysis (Graduate level) MATH205B: Introduction to Graduate Analysis (Graduate level) MATH2J: Linear Algebra and Infinite Series MATH2B: Calculus MATH140B: Elementary Analysis & MATH140C: Analysis of Several Variables MATH140B: Elementary Analysis MATH120B: Introduction to Group Theory MATH140A: Elementary Analysis Teaching Assistant, NCTU Fall 2004-Spring 2006 Elementary Analysis ADVISING AND MENTORING University of Minnesota Ph.D. student: Madeline Handschy (current, co-supervision with professor Gilad Lerman) Undergraduate senior project: Siyao Gu (Spring 2016) ACTITIVIES Wei-Kuo Chen 4/6 Invited Conferences, Workshops and Meetings (Planned) Special Session on Probability and Applications, April, 1-2 2017 AMS Sectional Meeting, Indiana University in Bloomington, USA Special Session on Spin Glasses and Disordered Media, January, 4-7 2017 AMS Joint Meeting, Atlanta, USA Phase transitions in discrete structures, July 25-29 2016 Goethe University Frankfurt, Germany The 9th World Congress of Probability and Statistics, July 11-15 2016 Field Institute, Canada The 4th IMS Asia Pacific Rim Meeting, June 27-30 2016 The Chinese University of Hong Kong, China Workshop on Percolation, Spin Glasses and Random Media, May 27-29 2016 Northwestern University, USA Special Session on Discrete Probability, April 16-17 2016 AMS Sectional Meeting, North Dakota State University, USA Probability and Statistical Mechanics, December 4-7 2015 Winter Meeting of the Canadian Mathematical Society in Montreal, Quebec, Canada Probability Theory, October 3 2015 AMS Fall Central Sectional Meeting, Loyola University Chicago, USA XVIII International Congress on Mathematical Physics, July 27-August 1 2015 Santiago, Chile IMS-China International Conference on Statistics and Probability, July 1-4 2015 Yunnan University in Kunming, China Stochastic Processes and Related Topics, March 27-29 2015 AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, USA Spin Glasses, Random Graphs and Percolation, February 16-20 2015 Institute of Henri Poincaré, France Spin Glasses and Related Topics, July 20-25 2014 Banff International Research Station, Canada 10th Cornell Probability Summer School, July 14-18 2014 Department of Mathematics, Cornell University, USA Workshop on Disordered Systems, June 24-28 2013 CIRM, Marseille, France Invited Seminars and Colloquiums (Planned) Probability Seminar, May 1 2017 Department of Statistics, Stanford University, USA Probability Seminar, Mar 16 2017 Department of Mathematics, University of Wisconsin, USA Analysis and Probability Seminar, March 30-April 1 2016 Department of Mathematics, University of Michigan, USA Probability Seminar, March 15 2016 Department of Mathematics, CUNY, USA Probability and Statistics Seminar, July 7 2015 Department of Statistics, The Chinese University of Hong Kong, China Probability and Random Matrix Seminar, April 22 2015 CMSA, Harvard University, USA Quantifying Uncertainty, Probability Entropy and Disorder, March 3 2015 Department of Mathematics, Michigan State University, USA Probability Seminar, February 25 2015 Department of Mathematics, Statistics and Computer Science, UIC at Chicago, USA Wei-Kuo Chen 5/6 Recruitment Talk, December 16 2014 Department of Mathematics, Ohio State University, USA Recruitment Talk, December 9 2014 Department of Mathematical Sciences, Georgia Institute of Technology, USA Probability Seminar, December 5 2014 Department of Mathematics, Carnegie Mellon University, USA Probability Seminar, November 21 2014 Department of Mathematics, University of Minnesota, USA Probability and Related Fields Seminar, September 18 2014 Department of Mathematics, University of Indiana, USA Probability Seminar, July 7 2014 Institute of Mathematics, Academic Sinica, Taiwan Probability Seminar, July 3-4 2014 Department of Applied Mathematics, NCTU, Taiwan Probability Seminar, February 2014 Department of Mathematics, University of Chicago, USA Colloquium, November 22 2013 Department of Mathematics, University of Alabama at Birmingham, USA Probability Seminar, October 31 2013 Department of Mathematics, Ecole Normale Supérieure of Lyon, France Probability Seminar, October 23 2013 Department of Mathematics, ETH, Switzerland Probability Seminar, November 13 2012 Department of Mathematics, University of Illinois at Urbana-Champaign, USA Probability Seminar, October 5 2012 Department of Mathematics, University of Chicago, USA Probability Seminar, January 19 2012 Department of Mathematics, UC San Diego, USA Probability Seminar, January 13 2012 School of Mathematics, University of Minnesota, USA Mathematical Physics Seminar, November 3 2011 Department of Mathematics, UC Irvine, USA Academic Visits Department of Statistics, Chinese University of Hong Kong July 6-8 2015 & June 21-July 1 2016 Sponsor: Professor Qi-Man Shao Department of Mathematics, Texas A&M, December 10-15 2013 Sponsor: Professor Grigoris Paouris Institut für Mathematik, Universität Zürich, October 14-November 8 2013 Sponsor: Professor Erwin Bolthausen Department of Mathematics, Texas A&M, August 26-31 2012 Sponsor: Professor Dmitry Panchenko SERVICES Organizer Spin glasses and related topics, BIRS, Canada, September 30-October 05, 2018 Probability Seminar, University of Minnesota Scientific Committee of the 38th Midwest Probability Colloquium Probability and Statistical Physics Seminar, University of Chicago, 2012-2015 Wei-Kuo Chen 6/6 Refereed Journal Articles Annals of Probability Annales de lÍnstitut Henri Poincaré Communications in Mathematical Physics Electronic Journal of Probability Electronic Communications in Probability Journal of Theoretical Probability Probability Theory and Related Fields Proceedings of the Royal Society A The European Physical Journal B Reviewed Articles Mathscinet