MOTOHICO MULASE
Distinguished Professor of Mathematics
Motohiko Murase
I love
chalkboards!
Institut Henri Poincaé, Paris, March 2017
BICMR, Peking University, October 2018
Romanian Academy, Bucharest,
February 2016
Max-Planck-Institut für Mathematik,
Bonn, June 2015
Mathematical Institute, University of Oxford, June 2023
Contact Information:
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Mailing Address:
Department of
Mathematics
University of California, Davis
Davis, CA 95616, U.S.A.
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e-mail: mulase@math.ucdavis.edu
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Office: 3103 Mathematical Sciences Building
Profile Page:
http://www.math.ucdavis.edu/research/profiles/mulase
CV:
Curriculum
Vitae 2021
Research Information:
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I serve as PI of
NSF-FRG: Collaborative Research:
Complex Lagrangians, Integrable Systems, and Quantization
(DMS-2152257), connecting UC Davis (Lead Institution), University of Illinois at Chicago (PI:
Laura Schaposnik),
and University of North Carolina at Chapel Hill
(PI:
Justin Sawon and Co-PI:
Olivia Dumitrescu).
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LOA at
Max-Planck-Institut für Mathematik, Bonn from September to December 2022, and in May 2023.
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Organizer: Mini-Workshop at Mathematisches Forschungsinstitut
Oberwolfach,
Quantization of Complex Symplectic Varieties
(2240b), during the week of October 2 -- 8, 2022, with my collaborators
John Alexander Cruz Morales (Universidad Nacional de Colombia),
Olivia Dumitrescu (University of North Carolina at Chapel Hill),
and
Katrin Wendland (School of Mathematics at Trinity College Dublin).
Our graduate students
Ashleigh Adams
and
Jon Erickson are appointed as
Video Conference Assistants for the Workshop.
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Organizer: Banff International
Research Station Workshop,
Complex Lagrangians, Mirror Symmetry, and Quantization
(23w5068), during the week of October 15 -- 20, 2023, with my collaborators
John Alexander Cruz Morales (Universidad Nacional de Colombia),
Elba Garcia-Failde (Campus Universitaire de Jussieu, Sorbonne),
Laura Schaposnik (University of Illinois at Chicago), and
Olivia Dumitrescu (University of North Carolina at Chapel Hill).
Detailed information is available
at the BIRS site:
23w5068
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Selected Publications in PDF Format
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List of Invited Addresses at
Conferences, Meetings, and Workshops
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General Area of Research:
Integrable Systems; Complex Algebraic
Geometry; Complex Analysis;
Mathematical Physics; Differential Geometry; and Global Analysis.
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Research Topics:
Quantum Curves,
Gromov-Witten Invariants,
Hurwitz Numbers, Moduli Spaces of Algebraic Curves and Vector Bundles, Hitchin's Integrable Systems, Gaiotto's Conformal Limits,
Topological String Theory, Topological Recursion,
Grothendieck's Dessins d'Enfants, Matrix Integrals,
Infinite-Dimensional Geometry, Riemann-Schottky Problem
for Jacobians and Prym Varieties,
KP/KdV Equations, and Solitons.
Teaching:
Collaborators:
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Gaëtan Borot,
Humboldt-Universität zu Berlin
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Vincent Bouchard, University of Alberta
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Jennifer Brown, University of Edinburgh
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Kevin M. Chapman
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Olivia Dumitrescu, University of North Carolina at Chapel Hill
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Petr Dunin-Barkowski, National Research University Higher School of Economics, Moscow
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Bertrand Eynard, Institut de Physique Théorique, CEA Saclay, France
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Laura Fredrickson, University of Oregon
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Daniel Hernández Serrano,
Universidad de Salamanca
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Andrew R. Hodge,
Department of Defense, Fort Mead
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Masato Kimura, National Institute of Health, Department of Health and Human Services
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Ying-Chen Li,
JP Morgan Chase
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Chiu-Chu Melissa Liu, Columbia University, New York
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Kefeng Liu, University of California, Los
Angeles
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Xiaojun Liu, China Agricultural University,
Beijing
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Rafe Mazzeo, Stanford University
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Andrew Neitzke, Yale University
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Paul Norbury, University of Melbourne
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Michael Penkava† (1953-2020), Former Professor of Mathematics at the University of Wisconsin,
Eau-Claire
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Aleksandr Popolitov, Moscow Institute of Physics and
Technology
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Jeffrey Rabin,
University of California, San Diego
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Brad Safnuk, Senior Analytics Scientist at Ford Motor Company,
former Professor of Mathematics at
Central Michigan University
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Sergey Shadrin, Universiteit van Amsterdam
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Loek Spitz, Universiteit van Amsterdam
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Adam Sorkin
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Piotr Sułkowski, Uniwersytet
Warszawski
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Andrew Waldron,
University of California, Davis
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Hao Xu,
Zhejiang University, Hangzhou
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Josephine Yu, Georgia Institute of Technology,
Atlanta
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Naizhen Zhang,
Leibniz Universität Hannover, Germany
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Mincheng Zhou
Birthday Events:
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70: The ICMAT-UAM-UCM-UC3M Joint Colloquium:
"Miraculous Integer Sequences," October 11, 2024,
Aula Magna Miguel de Guzmán, Faculty of Mathematics, Complutense University of Madrid
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65: Max-Planck Institute Conference,
Geometry, integrability and Moduli, July 29 - August 2, 2019,
in Bonn, Germany.
Conference Slide Show
Conference Volume edited by
Gaëtan Borot, Olivia Dumitrescu, Steven Rayan, and
Don Zagier
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60: AIM Workshop,
Quantum curves, Hitchin systems, and the Eynard-Orantin theory,
September 28 - October 3, 2014, in
Palo Alto, California.
Conference Photo
by Laura Schaposnik
Conferences/Workshops Invited (2011-):
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The ICMAT-UAM-UCM-UC3M Joint Colloquium:
"Miraculous Integer Sequences," October 11, 2024,
Aula Magna Miguel de Guzmán, Faculty of Mathematics, Complutense University of Madrid
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The First MaPhyAG Workshop:
"Integrability, Geometry and QFT," October 7 - 11, 2024,
Facultad Físicas, Plaza de las Ciencias 1, Madrid, España
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SwissMAP Research Station Workshop:
"Topologically Recursive Behaviors," August 25 - 30, 2024, 2024,
The SwissMAP Research Station (SRS)
Conference Centre in Les Diablerets
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RIMS Research Project 2024:
"Development in Algebraic Geometry related to Integrable Systems and Mathematical Physics," May - July 2024,
Research Institute for Mathematical Sciences, Kyoto University
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NSF-FRG Workshop and School: "Complex Lagrangians, Integrable Systems, and Quantization,"
June 5 - 9, 2023,
Mathematical Institute, University of Oxford
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The 13th MSJ-SI:
"Differential Geometry and Integrable Systems," March 3 - 13, 2023,
Osaka Central Advanced Mathematical Institute, Osaka Metropolitan University
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Andrejewski Tage 2022: "Quivers, Representation Theory and Physics,"
September 7 - 9, 2022,
Universitä zu Köln, Germany
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Boston College Workshop: "Moduli on Chestnut Hill," March 5 - 7, 2020,
Boston College
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Spring Emphasis Semester 2020:
"Workshop on Topological and Geometric Recursion," February 3 - 7, 2020,
Institute of the Mathematical Sciences of the Americas, University of
Miami
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GRK 1670 Workshop:
"BPS states, topological recursion, exact WKB and abelianisation," November 25 - 28, 2019,
Universität Hamburg, Germany
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GEOQUANT:
"International School and Conference on Geometry and Quantization," September 2 - 13, 2019,
National Tsing Hua University (NTHU), Taipei, Taiwan
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Max-Planck Institute Conference:
"Geometry, integrability and Moduli," July 29 - August 2, 2019,
in Bonn, Germany
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Research Institute for Mathematical Sciences
International Conference:
"Moduli Spaces, Representation Theory and
Quantization," June 24 - 28, 2019, in Kyoto, Japan
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Conference:
"Current trends in Hitchin systems,"
December 17 - 21, 2018, in La Plata and Buenos Aires, Argentina
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Research Institute for Mathematical Sciences Conference:
"D-modules, quantum geometry, and related topics,"
December 3 - 7, 2018, in Kyoto, Japan
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Beijing International Center for Mathematical Research:
"The Eighth Advanced Seminar in Symplectic Geometry and Topological Field Theory,"
October 8 - 12, 2018, in Beijing, China
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University of Warsaw Conference:
"Quantum fields, knots, and strings,"
September 24 - 28, 2018, in Warsaw, Poland
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Banff International Research Station 5-Day Workshop:
"Geometry and Physics of Quantum Curves (18w5078),"
September 9 - 14, 2018, in Banff, Canada
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Summer School of the TRR 195 and the Graduiertenkolleg Experimental and constructive algebra:
"Topological Recursion,"
August 27 - 31, 2018, in Tübingen, Germany
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MoSCATR VI: "6th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion," June 4 - 9, 2018, Moscow, Russia
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2018 Les Diablerets Winter School in Mathematical Physics:
"Quantum Curves,"
January 7 - 12, 2018, in Les Diablerets, Switzwrland
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Institute for Basic Science Center for Geometry and
Physics Intensive Lecture Series:
"Topological Recursion and Quantum Curves,"
September 4 - 8, 2017, in Pohang, Korea
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IHÉS Conference:
"ALGEBRAIC ANALYSIS,
in honor of Masaki Kashiwara's 70th birthday,"
June 6 - 9, 2017, at
Institut des Hautes Études Scientifiques,
Bures-sur-Yvette, France
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Laboratoire J.A. Dieudonné Conference:
"Higgs bundles and related topics,"
May 29 - June 2, 2017, at
Laboratoire J.A. Dieudonné,
Nice, France
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IHP Workshop:
"Enumerative Geometry and Combinatorics of
Moduli Spaces,"
March 13 - 17, 2017, at
Institut Henri Poincaré, Paris, France
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QUANTMOD:
"Quantization and
Moduli Spaces,"
January 9 - 13, 2017, at
Université du Luxembourg
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MATRIX@Melbourne Workshop:
"Topological Recursion and Modularity,"
December 19 - 23, 2016, at
MATRIX@Melbourne, Australia
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MATRIX@Melbourne Workshop:
"Quantum Invariants and Low-Dimensional
Topology,"
December 14 - 17, 2016, at
MATRIX@Melbourne, Australia
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Kobe Workshop:
"Algebraic Geometry and Integrable Systems, Kobe 2016,"
December 5 - 9, 2016, Kobe University, Japan
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The 15th Oka Symposium,
December 3 - 4, 2016, Oka Mathematical
Institute, Nara, Japan
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Banff International Research Station 5-Day Workshop:
"Painleve Equations and Discrete Dynamics (16w5027),"
October 2 - 7, 2016, in Banff, Canada
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RIMS Workshop:
"Studies on Integrable Systems: State of the Art and Perspective for Future"
September 5 - 7, 2016, at
Research Institute for Mathematical
Sciences, Kyoto University, Japan
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OCAMI Meeting: "Integrable Systems, Moduli Spaces
and Non-linear PDE,"
September 3 - 4, 2016, at
Osaka City University Advanced Mathematical
Institute, Osaka,
Japan
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Infinite Analysis 16 Summer School:
"Integrable Hierarchies and Beyond,"
August 29 - September 1, 2016, at
Graduate School of Mathematics, Nagoya University,
Japan
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2016 AMS von Neumann Symposium:
"Topological Recursion and its Influence in Analysis, Geometry, and Topology,"
July 4 - 8, 2016, at Hilton Charlotte University Place, Charlotte, NC
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SCGP Workshop:
"New perspectives on Higgs bundles, branes and quantization,"
June 13 - 17, 2016, at the Simons Center for
Geometry and Physics, Stony Brook, New York
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ICTS Conference:
"Higgs Bundles,"
March 21 - April 1, 2016, at the International
Center for Theoretical Sciences, Bangalore, India
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MFO Workshop:
"Topological Recursion and TQFTs,"
February 14 - 20, 2016, at Mathematisches Forschungsinstitut Oberwolfach, Germany
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CRM Workshop:
"Moduli spaces, integrable systems, and topological recursions,"
January 9 - 13, 2016, at Centre de Recherches Mathématiques, Montréal, Canada
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Warsaw Advanced School:
"Topological Quantum Field Theory,"
December 7 - 9, 2015, at the Faculty of Physics, University of Warsaw, Poland
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OCU Workshop:
"Quantization of Spectral Curves,"
November 2 - 6, 2015, at the Osaka City
University Advanced Mathematical Institute,
Osaka, Japan
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AIM Workshop:
"Spectral data for Higgs bundles,"
September 28 - October 2, 2015, in
Palo Alto, California
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GEOQUANT 2015:
"School and International Conference on Geometry and Quantization,"
September 7 - September 18, 2015, at
Instituto de Ciencias Matemáticas (ICMAT),
Madrid, Spain
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Mathematische Arbeitstagung 2015:
"Counting problems on moduli spaces,"
June 26 - July 3, 2015, at Max-Planck-Institut für Mathematik, Bonn, Germany
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Lorentz Center Workshop:
"Geometric Invariants and Spectral Curves,"
June 1 - 5, 2015, at Lorentz Center, Leiden,
the Netherlands
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WAGS Spring 2015:
"Western Algebraic Geometry Symposium,"
February 28 - March 1, 2015, at University of California, Davis
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MPIM Workshop:
"Geometric quantization and topological recursion,"
November 24 - 28, 2014, at Max-Planck-Institut für Mathematik, Bonn, Germany
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EIMI International Conference:
"Embedded Graphs,"
October 27 - 31, 2014, at Euler International Mathematical
Institute, St. Petersburg, Russia
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AIM Workshop:
"Quantum curves, Hitchin systems, and the Eynard-Orantin theory,"
September 28 - October 3, 2014, in
Palo Alto, California
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Advanced Summer School:
"Modern Trends in Gromov-Witten Theory,"
September 8 - 12, 2014,
Leibniz Universität Hannover, Germany
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Kobe Summer School:
"A Mathematical Theory of Quantum Curves,"
July 22 - August 8, 2014, at
Kobe University, Japan
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IMS Summer Research Institute:
"The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles,"
July 6 - 19, 2014, at
the Institute for Mathematical Sciences,
National University of Singapore
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Banff International Research
Station 5-Day Workshop:
"Quantum Curves and Quantum Knot Invariants,"
June 15 - June 20, 2014, in Banff, Canada
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Conference: "The Mathematics of Quantum Theory in Honor of Professor Albert
Schwarz at his 80th Birthday,"
May 23 - 27, 2014, in Davis, California
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MPI Seminar: "Seminar on Algebra, Geometry and Physics,"
May 13, 2014, at Max-Planck-Institut für Mathematik, Bonn, Germany
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University of Oxford: "Geometry and Analysis Seminar," May 5, 2014, at the Mathematical Institute,
University of Oxford
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Conference: "Mirror Symmetry and Spin Curves,"
April 28 - 30, 2014, at Palazzone di Cortona, Italy
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Conference: "Quantization of Moduli Spaces,"
April 22 - 25, 2014, at the University of
Geneva, Switzerland
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Workshop: "Moduli of curves and mathematical physics,"
January 23, 2014, at the University of
Amsterdam, Netherlands
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SISSA Workshop:
"Hamiltonian PDEs, Frobenius Manifolds, and Deligne-Mumford Moduli Spaces," September 16 - 20 September, 2013, at La Scuola Internazionale Superiore di Studi Avanzati,
Trieste, Italy
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Banff International Research
Station 5-Day Workshop:
"Integrable Systems and Moduli Spaces,"
August 25 - August 30, 2013, in Banff, Canada
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AIM Workshop:
"Gromov-Witten invariants and number theory," April 1 - April 5, 2013, in Palo Alto, California
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5th IST Lecture Series in Algebraic Geometry & Physics,
February 4 - February 8, 2013, in Lisbon, Portugal
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QGM Conference:
"Topological Recursion and Quantum Algebraic Geometry,"
January 28 - February 1, 2013, at the Center for
Quantum Geometry of Moduli Spaces, Aarhus
Universitet, Denmark
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Banff International Research
Station 5-Day Workshop:
"Integrable systems, growth processes and KPZ universality,"
September 23 - August 28, 2012, in Banff, Canada
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AIM-SQuaRE: "The Geometry and physics of the new
topological recursion,"
August 26 - September 1, 2012, at the American
Institute of
Mathematics, Palo Alto, California
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"String-Math 2012,"
July 16 - June 21, 2012, at the Hausdorff Center for
Mathematics, Bonn
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"XXXI Workshop on Geometric Methods in Physics,"
June 24 - June 30, 2012, in Białowieża, Poland
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"Conference on Symplectic Geometry and Mathematical Physics,"
June 4 - June 8, 2012, Beijing International
Center for Mathematical Research
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Hausdorff Research Institute for Mathematics
Workshop: "Integrability in topological field theory,"
April 16 - April 20, 2012, in Bonn, Germany
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Special Lecture Series and
Workshop: "Workshop on integrable systems and mirror symmetry,"
February 20 - February 23, 2012, at
Kobe University, Japan
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Banff International Research Station 5-Day Workshop:
"New Recursion Formulae and Integrablity for Calabi-Yau Spaces,"
October 16 - October 21, 2011, in Banff, Canada
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Institute Fourier Summer School 2011:
"MODULI OF CURVES AND GROMOV-WITTEN THEORY,"
June 20 - July 8, 2011, in Grenoble, France
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Banff International Research Station 5-Day Workshop:
"Number Theory and Physics at the Crossroads,"
May 8 - May 13, 2011, in Banff, Canada
Talk Videos/Slides:
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"Miraculous Integer Sequences,"
Complutense University of Madrid,
October 2024.
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"Gaiotto's conformal limit of Higgs bundles and its geometry,"
Simons Center for Geometry and Physics,
March 2019.
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"Quantum Curves,"
Institut des Hautes Études Scientifiques,
June 2017.
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"Quantization of Hitchin spectral curves as opers,"
Banff International Research Station,
October 2016.
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"Algebraic geometry of Gaiotto correspondence and quantization of Higgs bundles,"
Simons Center for Geometry and Physics,
June 2016.
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"Quantum Curves and Gaiotto's Conjecture,"
International Center for Theoretical Sciences, Bangalore, India,
April 2016.
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"Topological recursion and quantization,"
Simons Center for Geometry and Physics,
May 2015.
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"Quantum curves and topological recursion,"
Banff International Research Station,
August 2013.
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"Counting the lattice points on the moduli space of curves,"
Institute Fourier Summer School in Grenoble, France,
June 2011.
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"The Eynard-Orantin Recursion and
Quantum Invariants in Geometry,"
Banff International Research Station,
September 2012.
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"The Eynard-Orantin Theory in Geometry
-- A Mystery from Physics,"
Talk given
at the V Ibero-American Congress on
Geometry, aimed at general mathematics audience,
Pucón,
Chile, December 2010 (3.8MB)
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"On the Horizon of a Surface,"
Talk given
at the UC Davis COSMOS Program, and also
at the Universiti Teknologi Malaysia, aimed at
high school students and college freshman, July 2010 (4.6MB)
Research Seminars:
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Every year I organize graduate research seminars. Current topics
(2024-2025) include "Quantum Differential Equations,"
"Riemann Zeta Function at s = 3," and "The Canonical Quantization
and Opers."
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Past topics include:
"The Language of Categories and
Stacks," "Enumerative Problems and Topological Recursion,"
"New Quantization of Dolbeault and de Rham Moduli Spaces,"
"Algebraic K-theory, K2 Lagrangians, and Geometric Langlands,"
"Variation of Hodge Structures, WKB analysis, and quantization," "Quantum Curves," "Gromov-Witten Theory,"
"The Laplace Transform and Mirror Symmetry," and "Hurwitz Numbers and Moduli Theory."
Courses Taught (since 2011):
Biographical Information:
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Doctor of Science (Degree
awarded by submission of a thesis, without any
course work requirement): 1985, Kyoto University. Thesis Committee:
Mikio Sato, Chair, and Masaki Kashiwara.
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Master of
Science in Mathematics: 1980,
Research Institute for Mathematical
Sciences, Kyoto University. Advisors:
Mikio Sato and Heisuke Hironaka.
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Bachelor of
Science in Mathematics: 1978, The University of
Tokyo. Advisors: Hikosaburo Komatsu and
Kazuhiko Aomoto.
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Post-Graduate Advisors:
Isadore M. Singer, MSRI and UC Berkeley (1982-84);
Veeravalli S. Varadarajan, UCLA (1985-88).
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Positions Held: Research Assistant Professor, Nagoya University, 1980-82;
Member, Mathematical Sciences Research Institute, Berkeley, 1982-84;
Visiting Assistant Professor, Stony Brook
University, New York, 1984-85;
E. R. Hedrick Assistant Professor, UCLA, 1985-88;
Member, The Institute for Advanced Study, Princeton, 1988-89;
Associate Professor, University of California, Davis, 1989-91; Professor, University of
California, Davis, 1991-current;
Visiting Senior Scientist, Kavli Institute
for the Physics and Mathematics of the
Universe, the University of Tokyo, 2013-current;
Distinguished Professor of Mathematics, University of
California, Davis, 2019-current.
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Short-Term Visiting Appointments:
Kyoto University, 1993, 1994, 1995, 2008, 2024;
Humboldt-Universität zu Berlin, Germany,
1995, 1996, 2002, 2009;
Nagoya University, 2003, 2005;
Korea Institute for Advanced Study, 2008;
University of Salamanca, Spain, 2008, 2009, 2011;
Universiti Teknologi Malaysia, 2010;
Tsinghua University, Beijing, 2010;
Kobe University, Japan, 2012, 2014;
Kavli Institute for the Physics and Mathematics
of the Universe, University of Tokyo, 2012; Center for
Quantum Geometry of Moduli Spaces, Aarhus
University, 2013;
Instituto Superior Técnico, Lisbon, 2013;
University of Melbourne, 2013, 2016;
The Korteweg-de Vries Institute,
University of Amsterdam, 2011,
2012, 2013, 2014, 2015;
Hong Kong University of Science and
Technology, 2015; Simons Center for Geometry
and Physics, 2015;
Osaka City University Advanced Mathematical
Institute, 2015, 2016; Institut Henri Poincaré,
Paris, 2016, 2017;
Université Pierre et Marie Curie (Université Paris VI), 2015,
2017;
Institute for Basic Science, Center for Geometry, Pohang, Korea, 2017;
Beijing International Center for Mathematical Research, Peking University, 2018;
National Tsing Hua University, Hsinchu, Taiwan, 2019;
University of Science and Technology of China, Hefei, 2020 (cancelled);
Simons Center for Geometry and Physics, 2015, 2016, 2019, 2022;
Max-Planck-Institut für Mathematik, Bonn, 2011, 2013, 2014, 2015, 2016, 2019, 2020 (cancelled), 2022, 2023.
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Administrative Appointments:
Vice-Chairperson of the Department for Undergraduate Affairs, 1995-1997; Department Chair, 1998-2001, 2004-2007;
Acting Chair of the Graduate Group in Applied Mathematics, Spring 2001;
Associate Dean of the Faculty for
Mathematical and Physical Sciences, 2017-2019.
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Service as Department Chair:
During the six-year tenure as Department Chair, I successfully
nominated three UC Davis Chancellor's Fellows, three
Alfred P. Sloan Fellows,
an MAA Tepper Haimo Award winner,
an ONR Young Investigator Award winner,
and two AMS Norbert Wiener Prize winners. I also negotiated and
assisted the creation of four endowment funds within the
Department:
Henry L. Alder Fund, Arthur J. Krener Fund,
G. Thomas Sallee Fund,
and Evelyn M. Silvia Fund. These funds help undergraduate
students, graduate students, and postdoctoral scholars in
their study, research, and teaching mathematics.
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Selected Committee Appointments:
MSRI Committee of Academic Sponsors, 2004-07;
Academic Senate
Faculty Privilege and Academic Personnel Adviser,
2008-10, 2011-12;
Faculty Advisory Committee to the MPS Dean,
2009-12; Chair, Faculty Personnel Committee of the
Division of Mathematical and Physical Sciences, 2010-13; MPS Steering Committee, 2012-13;
Chair, Academic Senate
Step Plus Implementation Advisory Committee
(advises the Vice Provost for Academic
Affairs),
2014-15.
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Awards and Honors:
Hironaka Foundation JMS Fellowship, Harvard University, 1982-83;
Member, Mathematical Sciences Research Institute, Berkeley, 1982-83, 1983-84;
Member, The Institute for Advanced Study, Princeton, 1988-89;
Member, Max-Planck-Institut für Mathematik, Bonn, Germany, 1991-92;
Presidential Faculty Fellow Nominee, 1993;
UC Davis Faculty Development Awards, 1996-97, 2001-02;
RIMS International Project Research Visiting Professorship, Kyoto University, 2007-08;
Academic Senate
Distinguished Teaching Award for Undergraduate Teaching, 2009;
Member, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France, 2013;
Guest Membership, Max-Planck-Institut für Mathematik, Bonn, Germany, 2011, 2013, 2014,
2015, 2016, 2019, 2022, 2023;
Simons
Visiting Professor, Mathematisches
Forschungsinstitut Oberwolfach, Germany,
February 2016;
Visiting Researcher, Université Pierre et Marie Curie, and Institut Henri Poincaré, Paris, 2017; UC Davis Distinguished Professor of Mathematics, 2019-;
RIMS Research Project Visiting Professorship, Kyoto University, May--July 2024;
Graduate Students:
Jennifer Brown: Ph.D. 2022; National
Science Foundation Postdoctoral Research Fellowship (2022--2024),
Postdoctoral Fellow at University of Edinburgh (2023--).
Research Publication
Jon Erickson: Ph.D. Program in Mathematics.
Research Publication
Joseph Good: Ph.D. 1996; Senior Developer, information technology industry
Andrew R. Hodge: Ph.D. 2008;
Permanent Research Mathematician, Department of
Defense, Fort Meade, MD.
Joint Research Paper
Cooper Jacob: Ph.D. 2022; Lecturer of Mathematics, UC Davis.
Research Publication
Masato Kimura:
Ph.D. 1996; Staff Scientist at National Institute of Health; Former Professor of Mathematics at
Hood Collage, Maryland.
Joint Research Paper
Priya Kshirsagar:
M.A. 2019.
Michael Penkava† (1953-2020):
Ph.D. 1995;
Former Professor
of Mathematics at University of Wisconsin - Eau Claire.
Joint Research Paper
Andrew Port:
M.S. 2012; Computer vision and machine learning engineer;
Former Professor of Mathematics
and Statistics at Sacramento City College.
Research Paper
Axel Sáenz: Ph.D. 2016;
Assistant Professor, Oregon State University.
Dissertation
Brad Safnuk, Ph.D. 2006; Senior Analytics Scientist at Ford Motor Company; Former Professor of Mathematics at Central Michigan University.
Joint Research Paper
Adam Sorkin: M.A. 2013, Staff Security Engineer at Stripe.
Joint Research Paper
Eiko N. Tyler: Ph.D. 2001; Mathematics Instructor,
Retired
Undergraduate Students Supervised through Research:
-
Laura M. Adint: B.A. and B.S. with Highest Honors 1996;
Vice President, Sales Operations and Sales Development,
Drift
-
Kevin M. Chapman: B.S. with Highest Honors 2011.
Joint Research Paper
-
Ruian Chen:
B.S. with Highest Honors 2015; Ph.D. in Mathematics, University of Michigan;
Consultant at the Actuarial Practice of Oliver Wyman
-
Alfonso Garcia: B.S. 1999; Mathematics Teacher,
Westmont High School, Campbell, CA
-
Miguel A. Garcia: B.S. 1998; High School Physics Teacher
-
Genna Gliner: B.S. 2011; Princeton University Ph.D. 2018;
Senior Product Manager at Mindbody
-
Amanda Pan: B.S. with Honors 2017;
Graduate Student, Ohio State University
-
Christina L. Soderlund: B.S. with Honors 1999;
Former Assistant Professor of Mathematics,
California Lutheran University
-
Josephine T. Yu:
B.S. with Highest Honors 2003; Professor
of Mathematics, Georgia Institute of Technology.
Joint Research Paper
-
Mincheng Zhou:
B.S. with Highest Honors 2013
Krener Assistant Professors/Visiting Research
Assistant Professors at UC Davis
Supervised through Research:
Pol Vanhaecke: 1993-96;
Professor of Mathematics,
University of Poitiers, France
Ruifang Song:
2014-17; Machine Learning Engineer at Houzz
International Degree Evaluation Committees Served:
-
Petr Dunin-Barkowski:
University of Amsterdam, Ph.D. 2015;
Associate Professor,
National Research University Higher School of Economics, Moscow.
Joint Research Paper
-
Ines Quandt:
Humboldt-Universität zu Berlin, Ph.D. 1997; German
insurance industry.
Dissertation
-
Nick Scott:
University of Melbourne, Ph.D. 2014;
Econometrician at the Burnet Institute, Melbourne
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Loek Spitz:
University of Amsterdam, Ph.D. 2014;
Staff Instructor,
University of Amsterdam.
Joint Research Paper
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Dimitri Zvonkine:
Université Pierre-et-Marie-Curie (Paris VI),
Habilitation 2015;
Professor, Institut de Mathématiques de
Jussieu-Paris.
Conferences Organized:
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CCCNLS Conference on Integrable Systems, UC Davis, 1991.
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Special Session on Dynamical Systems and Mathematical Physics,
934th AMS Western Section Meeting, UC Davis, April 1998.
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UC Davis -- MSRI Conference on Mathematical Physics,
May 2004.
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IPMU Mini Workshop
"A New Recursion from Random Matrices and Topological String Theory," Institute for the Physics and Mathematics of the Universe,
Kashiwa, Japan, December 2008.
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The 16th Osaka City University
International Academic Symposium
"Riemann Surfaces, Harmonic Maps and Visualization,"
Osaka, Japan, December 2008.
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AIM Workshop
"Recursion structures in topological string theory and enumerative geometry,"
American Institute of Mathematics, Palo Alto, California,
June 2009.
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UC Davis -- MSRI Conference "Algebra and Topology in
Interaction," September 2009 (Supported by NSF).
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AIM SQuaRE
"Geometry and Physics of the New Topological Recursion,"
American Institute of Mathematics, Palo Alto, California,
May 3 - 7, 2010.
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Banff International Research Station Workshop:
"New Recursion Formulae and Integrablity for Calabi-Yau Spaces"
October 16 - October 21, 2011, in Banff, Canada.
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Banff International Research
Station Workshop:
"Quantum Curves and Quantum Knot Invariants"
June 15 - June 20, 2014, in Banff, Canada.
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AIM Workshop:
"Quantum curves, Hitchin systems, and new developments in the Eynard-Orantin theory,"
September 28 - October 3, 2014, in
Palo Alto, California.
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OCU Workshop:
"Quantization of Spectral Curves,"
November 2 - 6, 2015, at the Osaka City
University Advanced Mathematical Institute,
Osaka, Japan.
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2016 AMS von Neumann Symposium:
"Topological Recursion and its Influence in Analysis, Geometry, and Topology,"
July 4 - 8, 2016, at Hilton Charlotte University Place, Charlotte, NC
(Supported by NSF).
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2016 MATRIX Program:
"Interactions between topological recursion, modularity, quantum invariants and low-dimensional topology,"
November 28 - December 23, 2016, at MATRIX,
Creswick, Australia
(Partially supported by NSF).
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Banff International Research
Station Workshop:
"Geometry and Physics of Quantum Curves (18w5078),"
September 9 - September 14, 2018, in Banff, Canada.
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Mathematisches Forschungsinstitut
Oberwolfach Mini-Workshop:
"Quantization of Complex Symplectic Varieties (2240b),"
October 2 - 8, 2022, in Oberwolfach, Germany.
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Banff International Research
Station Workshop:
"Complex Lagrangians, Mirror Symmetry, and Quantization (23w5068),"
October 15 - 20, 2023, in Banff, Canada.
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RIMS Research Project 2024 Workshop 1:
"New Aspects in Topological Recursion,
Resurgence and Related Topics,"
July 8 - 12, 2024, in Kyoto, Japan.
Photo and Animation Gallery: