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Transcript
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