Welcome to my Website !!
Masato Wakayama
NTT Institute for Fundamental Mathematics
3-9-11, Midori-cho, Musashino, Tokyo 180-8585
e-mail: masato.wakayama (at) ntt.com
wakayama (at) imi.kyushu-u.ac.jp
Current post
· Fundamental Mathematics Research Principal,
NTT Institute for Fundamental Mathematics, Nippon Telegraph and Telephone Corporation
· Professor Emeritus, Kyushu University
Visiting Professor
· Specially Appointed Professor, Institute of Science Tokyo
· Guest Professor, Institute of Mathematics for Industry, Kyushu University
Recent lectures
“Problems in number theory arising from the spectrum of quantum Rabi models”
Zeta Conference 2024 in Okinawa,
November 8, 2024,
“Generalized quantum Rabi model and number theory, representation theory, and geometry”
Waseda Number Theory Seminar (2024, 10th), Nishiwaseda Campus, Waseda University
October 25, 2024,
“Interacción luz-materia y funciones Zeta”
The 50th anniversary of the founding of ITAM Applied Mathematic: Instituto Tecnológico Autónomo de México (ITAM),
October 17, 2024,
“Light and matter interactions with number theory and geometry”
Coloquio de Matemáticas Aplicadas: Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México (UNAM)
October 15, 2024,
“Light-matter interaction and number theory”
Ehime University Algebra Seminar (100th), Faculty of Science, Ehime University,
May 17, 2024,
“Arithmetic study behind quantum interactions”
Mathematics Colloquium: Department of mathematics, University Illinois Urbana-Champaign,
March 5, 2024,
“Arithmetic Study Behind Spectra of Quantum Interactions”
Analysis and Mathematical Physics: Institute for Advanced Study, Princeton
March 1, 2024,
“Number Theory behind quantum interactions”
Algebraic geometry and Number theory Seminar, Department of Mathematics, University of Patova,
September 25, 2023,
“Representation and number theoretical aspects of the heat kernel for the quantum Rabi model”
More Anomalies in Partial Differential Equations - in honour of the 60th anniversary of Daniele Del Santo (Trieste) and
Alberto Parmeggiani (Bologna),
Castle of Bertinoro, Italy, (September 18 - 22, 2023),
September 22, 2023,
“The Mathematics behind Quantum Models with Fermion-Boson Interaction”
Seminar on Theoretical Physics, Institute of Physics, Augsburg University,
September 15, 2023,
“Consecutive eigenvalues distribution of asymmetric quantum Rabi models”
ICIAM 2023 Minisymposium, Quantification of Business Uncertainties through Industrial Mathematics:
Waseda University, Tokyo,
August 23, 2023,
“Quantum computation and its viewpoint from spectral zeta functions”
ICIAM 2023 Minisymposium, The mathematics of quantum interaction models:
Waseda University, Tokyo,
August 21, 2023,
“Number theory for certain quantum interaction models”
Tel Aviv Number Theory seminar, School of Mathematical Sciences, Tel Aviv University:
May 18, 2023,
“Algebraic/geometric problems for certain quantum interaction models”
PDE and Applied Mathematics Seminar, Faculty of Mathematics, Technion:
May 17, 2023,
“Geometric and algebraic problems on quantum interaction models”
Geometry Seminar, Department of Mathematics, Radboud University Nijmegen
March 6, 2023,
“Heat Kernels of Quantum Interaction Models for Quantum Computers”
SIAM Computational Science and Engineering 2023,
Part of MS302 Mathematics for Industry in the Asia Pacific Area - Part I of II
March 2, 2023,
“Algebra and geometry for quantum interaction models”
Colloquium, Department of Mathematics, University of Tübingen,
February 24, 2023,
“Covering of asymmetric quantum Rabi models and possible zeta problems.”
Symposium “Rabi and Spin Boson models” Kyushu University, Fukuoka
January 26, 2023,
“Geometric and algebraic problems on quantum interaction models”
RIMS Kyoto University (Workshop on “Fields theory and related Topics”), 16-18 January 2023
January 18, 2023,
“Quantum Interaction and Number Theory, Representation Theory – modular forms a bit beyond, infinite symmetric group, Fuchsian ODE”
French-Japan Web-Seminar on Painlevé equations and related topics
October 19, 2022,
“Quantum Interaction Models and Number Theory, Representation Theory”
Colloquium, Department of Mathematics, University of Bologna
October 5, 2022,
“Number Theory and Quantum Physics Based on Symmetry−Themes from Quantum Optics”
2022nd - NTT Communication Science basic Research Lab. Open House Lecture
June 2, 2022,
“Study on quantum interactions and number theory”
iTHEMS Coffee Meeting, RIKEN
March 4, 2022,
“Spectral Degeneracy and Hidden Symmetries – Asymmetric quantum Rabi model as an example”
Colloquium, College of Science and Engineering, Kanazawa University
January 14, 2021,
Article publication information
C. Reyes-Bustos and M. Wakayama, Light-matter Interaction and Zeta Functions,
NTT Technical Review, Vol. 22, No. 9, pp. 65-72, Sept. 2024. https://doi.org/10.53829/ntr202409fa8
C. Reyes-Bustos and M. Wakayama, Representation Theory and Combinatorics Arising from Determinants,
NTT Technical Review, Vol. 22, No. 9, pp. 45-52, Sept. 2024. https://doi.org/10.53829/ntr202409fa5
M. Wakayama and I. Fesenko: Increasing investment in mathematics in changing times,
EMS Magazine No. 126 pp. 51-54, 2022. DOI: 10.4171/MAG/10
M. Wakayama, Number Theory and Quantum Physics Based on Symmetry-Themes from Quantum Optics,
NTT Technical Review, Vol. 20, No. 10, pp. 67-76, Oct. 2022. https://doi.org/10.53829/ntr202210fa10
Forum "Math-for-Industry"2023
-MfI2.0-
Date: 29 August - 1 September 2023
Venue: Kyushu University Nishijin Plaza
(2-16-23 Nishijin, Sawara-ku, Fukuoka 814-0002, JAPAN)
Website
Forum "Math-for-Industry"2022
-Mathematics of Public Health and Sustainability-
Date: 21 - 24 November 2022
Venue: La Trobe University City Campus
(Level 2, 360 Collins Street, Melbourne, Australia)
Website
Forum "Math-for-Industry"2021
-Mathematics for Digital Economy-
Date: December 13-16, 2021
Venue: Vietnam Institute for Advanced Study in Mathematics
Website
Forum "Math-for-Industry"2019
-Mathematics for the Primary Industries and the Environment-
Date: November 18-21, 2019
Venue: Massey University, Albany campus North Shore, Auckland New Zealand
Website
International Symposium on Mathematics, Quantum Theory, and Cryptography
Date: September 25(Wed)- 27(Fri),2019
Venue: Kyushu University Ito campus, IMI auditorium, W1-D413
Organizer: CryptoMathCREST
Website
ANDE2019 (APPLICATIONS OF NONLINEAR DIFFUSION EQUATIONS 2019)
Date: June 22(Sat), 2019
Venue: La Trobe University、Melbourne
Forum "Math-for-Industry"2018
-Big Data Analysis, AI, Fintech, Math in Finances and Economics-
Date: November 17 to 21, 2018
Venue: Fudan University, Shanghai, ChinaS
Website
Forum "Math-for-Industry"2015
Forum "Math-for-Industry" 2015
The role and importance of mathematics in innovation
Date : October 26 to 30, 2015
Venue : Kyushu University Ito campus, IMI auditorium
Website
Proceedings of Forum "Math-for-Industry" 2014
Applications + Practical Conceptualization + Mathematics = fruitful Innovation
Editors: Anderssen, B., Broadbridge, P., Fukumoto, Y., Kajiwara, K., Takagi, T., Verbitskiy, E., Wakayama, M.
Website
MEIS2014
Symposium MEIS2014:
Mathematical Progress in Expressive Image Synthesis
Date: 12-14 November 2014
Venue: Nishijin Plaza Kyushu University, Fukuoka, Japan
Website
Forum "Math-for-Industry" 2014
Forum "Math-for-Industry" 2014"
Applications + Practical Conceptualization + Mathematics = fruitful Innovation
October 27 to 31, 2014
Venue: Nishijin Plaza, Fukuoka
2-16-23 Nishijin, Sawara-ku, Fukuoka City, JAPAN
Website
"Mathematics and Physics of Interacting Quantum Systems (MPIQS)"
"Mathematics and Physics of Interacting Quantum Systems (MPIQS)"
Date: October 23-24, 2014
Venue: Kyushu University
Website
Organizer:
Fumio Hiroshima(Kyushu University)
Enrique Solano(University of the Basque Country UPV/EHU)
Masato Wakayama(Kyushu University)
Past Lectures
“Interaction models in quantum opticus, representation theory and Number theory”
iTHEMS Colloquium, RIKEN
April 10, 2020,
"Analysis of quantum interaction models"
"Analysis of the quantum harmonic oscillator - oscillator representation of sl(2),
Heat kernel, Riemann zeta function, Apery numbers,"
「Colloquium & Pre-colloquium lectures (for post graduate students」
Date: February 25,27 , 2019
Venu: Department of Mathematics, University of Tübingen
"Mathematical problems around the quantum Rabi model"
「 Workshop on Mathematical Developments Related to the Quantum Rabi Model 」
Date: January 29, 2019
Venue: Mathematical Sciences Institute, The Australian National University
【Invited talk】“Heat kernel of the quantum Rabi mode”
「Applications of Nonlinear Diffusion Equations 2019」
Date: June 22(Sat), 2019
Venue: La Trobe University, Melbourne
“A sign of the beginning for connecting photons and lattices - symmetry in quantum interactions”
「Symposium on representation theory 2018 」
Date: November 17 to 21, 2018
“Non-commutative harmonic oscillator and quantum rabi model - A sign of the beginning for connecting photons and lattices”
「Zeta Functions in OKINAWA 2018 」
Date: October 24 to 26, 2018
Venue: Okinawa Convention Center (Ginowan, Okinawa)
“Activities on mathematics for industry in Japan and Asia-Pacific region”
「Future and Emerging Mathematical Technologies in Europe 」
Date: December 11 to 15, 2017
Venue: Lorentz Center, Netherlands
“Spectral determinants of the asymmetric quantum Rabi models”
Zeta Functions in Okinawa 2017
Date: 18/November/2017,
Venue: Okinawa Convention Center (Ginowan, Okinawa)
“Spectrum of the asymmetric quantum Rabi models and zeta regularized product”
Zeta functions and trace formulas in Fukuoka
Date: October 12 to 14, 2017,
Venue: Lecture Room M W1-C-513 , West Zone 1, Ito campus, Kyushu University
“Mathematics for Industry in Japan”
International Seminar on Mathematics in Industry 2017
Date: 1/August/2017,
Venue: Pulai Springs Resort, Malaysia
“Spectral degeneracies in asymmetric quantum Rabi models and representations”
Integrability in Low-Dimensional Quantum Systems
AMSI (Australian Mathematical Sciences Institute) Conference
Date: 12/July/2017,
Venue: University of Melbourne
“Symmetry and spectral degeneracies in asymmetric quantum Rabi models”
Spectral analysis of Quantum Rabi models
Date: 10/March/2017,
Venue: Lecture Room M W1-C-616 , West Zone 1, Ito campus, Kyushu University
“Symmetry of asymmetric quantum Rabi models”
Date: 28/February/2017,
Venue: Department of Mathematics, University of Bologna
"Endeavors for Mathematics for Industry in Japan"
9th Ludwig Boltzmann Symposium Tokyo 2017
Date: 16/February/2017
Venue: Austrian Embassy Tokyo
International Workshop on Ultra-Strong Light-Matter Interactions: theory and applications to quantum information
Date: 19/September/2016 - 21/ September/2016,
Venue: University of the Basque Country, Bilbao, Spain
"Representation theoretic approach to the spectrum of quantum Rabi or its generalized models",
Kyushu IMI joint research center for advanced and fundamental math-for-industry
Mathematical quantum field theory and related topics
IMI Kyushu University West 1 building D-413 Auditrium，6 /June/2016 - 8/June/2016,
Japan-Australia University Symposium 2015
Towards Successful Partnerships:Learning from Experiences
Date: 24 November 2015, Venue: The University of Sydney
"Endeavors for Mathematics for/in Industry in Japan", Industrial Mathematics Awareness Week,
COEX Hall, Seoul, Korea 22 October, 2015
Website (in Korean only)
"Can representation theory contribute quantum optics?"
Zeta functions in Okinawa 2015,
10-12 October 2015
Website
"Mathematics-for-Industry and Industry-for-Mathematics"ICIAM2015,
China National Convention Centre, 8-14 August, 2015
Website
"Quantum Rabi's model and Non commutative Harmonic Oscillators, and Number Theory and Representation Theory",
RIMS Workshop, RIMS, Kyoto University, June23-26,2015
"Spectrum of the quantum Rabi model and representation theory", Workshop on Probabilistic models with determinantal structure, Kyushu University, April 30-May 1, 2015
Website
"Quantum Rabi's model and representation theory" Department of Methematics, University of Bologna, Wednesday 25 February, 2015
"Activities of Mathematics for Industry" University of Bologna, Tuesday 24 February 2015
"Quantum Rabi's model and non-commutative harmonic oscillators", Kyoto University, October 7,2014
"Quantum Rabi's model and non-commutative harmonic oscillators",
Mathematical Quantum Field Theory and Related Topics, RIMS, Kyoto University,
October 6 to 8, 2014 (Wakayama's lecture is scheduled on Oct. 7, 2014).
"Lie Algebra Representations and the Quantum Rabi Model - A View from Non-Commutative Harmonic Oscillators and Heun ODEs.", Mathematical and Physical Aspects of Interacting Quantum Systems and Models
Seminar Room 7, Institute of Mathematics for Industry, Kyushu University, October 23 to 24, 2014
(Wakayama's talk is scheduled on Oct. 24).
"Quantum Rabi's model and non-commutative harmonic oscillators-between number theory and physics",
Colloquium, Department of Mathematics , University of Hawaii at Manoa, September 5, 2014.
"An introduction and application of Lie theory-a theme from spherical harmonics",
Seminar for undergraduates, Department of Mathematics,
University of Hawaii at Manoa, September 3, 2014.
"Non-commutative harmonic oscillators and the Rabi model", RIMS Workshop, RIMS, Kyoto University, June 24-28, 2014.
"Activities of Mathematics for Industry", University Montpellier 2, Feb. 26, 2014.
"An application of Lie theory to computer graphics via spherical harmonics", Berliner Colloquium fur wissenschaftliche Visualisierung, Zuse-Institut Berlin (ZIB), Germany, Feb. 28, 2014.
"Activities of Mathematics for Industry", Zuse-Institut Berlin (ZIB), Germany, Mar. 1, 2014.
Forum "Math-for-Industry" 2013
Forum "Math-for-Industry" 2013 "
The Impact of Applications on Mathematics"
Venue: Nishijin Plaza, Fukuoka
2-16-23 Nishijin, Sawara-ku, Fukuoka City, JAPAN
FMI2013 Website
Forum "Math-for-Industry" 2012
Forum "Math-for-Industry" 2012 "Information Recovery and Discovery"
Date: October 22 to October 26, 2012
Place: Fukuoka International Congress Center
Organiging Committee
Yasuhide Fukumoto (IMI, Kyushu University)
Osamu Saeki (IMI, Kyushu University)
Ryuei Nishii (IMI, Kyushu University)
Tsuyoshi Takagi (IMI, Kyushu University)
Tim Hoffmann (TU Berlin)
Masato Wakayama (IMI, Kyushu Univesrity)
Mathematics for Industry:
Biological and climatic aspects - a Joint Workshop of IMS and
IMI -
Mathematics for Industry: Biological and climatic aspects - a Joint Workshop of IMS and IMI-
Program date: September 3 to 7, 2012.
Organized by:
Robert S.Anderssen (CSIRO)
Kim Chuan Toh (Department of Mathematics, NUS)
Tomoyuki Shirai (Institute of Mathematics for Industry, Kyushu University)
Kenji Kajiwara (Institute of Mathematics for Industry, Kyushu University)
Masato Wakayama (Institute of Mathematics for Industry, Kyushu University)
Website
Workshop on "Avoided ? Crossing of Eigenvalue Curves"
-- Non-commutative Harmonic Oscillator, Special Functions and Number Theory--
"Avoided ? Crossing of Eigenvalue Curves"
-- Non-commutative Harmonic Oscillator, Special Functions and Number Theory--
Website
Program Date: March 7 to 9, 2012.
Program Place: IMI, Kyushu University
Organized by:
Masato WAKAYAMA(Institute of Mathematics for Industry, Kyushu University)
Fumio HIROSHIMA (Institute of Mathematics for Industry, Kyushu University)
Study Group Workshop 2011
August 1-3, Faculty of Mathematics, Kyushu University
August 8, 9 (tentative schedule), Graduate School of Mathematical Sciences, the University of Tokyo
Study Group Workshop 2011
August 1-3, Faculty of Mathematics, Kyushu University
August 8, 9 (tentative schedule), Graduate School of Mathematical Sciences, the University of Tokyo
SGW2011 Website
Forum "Math-for-Industry" 2011
"TSUNAMI - Mathematical Modelling"
Using Mathematics for Natural Disaster Prediction, Recovery and Provision for the Future,
October 24-28, 2011, East-West Center, University of Hawaii
Forum "Math-for-Industry" 2011
"TSUNAMI - Mathematical Modelling" Using Mathematics for Natural Disaster Prediction, Recovery and Provision for the Future, October 24-28, 2011, East-West center, University of Hawaii
FMI2011 Website
We would like to express our deepest sympathy to those affected by the terrible earthquake and tsunami that hit the Tohoku region in Japan in March, 2011, and by the succeeding Fukushima nuclear power plant accident.
The main topic of our forum is motivated by this catastrophic disaster: we sincerely feel that it is our responsibility to make use of mathematics for predicting natural disasters, recovering from catastrophic events, and making provision for the future. Thus, we have thought that the Forum "Math-for-Industry" in this year should be fully devoted to discussing a large variety of possibilities for using mathematics to these purposes. There are additional reasons for this choice. First, this year we expected participants (including speakers) to come from New Zealand (where there was a big earthquake in February) and Chile (also the location of a big earthquake last year, whose related tsunamis reached Japan, on the opposite side of the Pacific Ocean). Second, the word "tsunami" ("津波" =harbor wave (in Japanese)) made its way into the English language through Hawai'i. After the Hawai'i islands suffered from the big tidal waves caused by the 1946 earthquake near Alaska, the first-generation Japanese immigrants in Hawai'i introduced the spoken word into the English language.
Our objective is to consider what help can mathematics provide against natural disasters: to understand their fundamental mechanisms; to increase the accuracy of predictions, to minimize damages and risks; to establish more robust and efficient social systems for recovery; and so on.
Thus, the lecture theme includes the following research topics: tsunami, earthquake, environmental pollutions, logistics, optimization, control theory, statistics and data analysis, information security, CG visualization, PDE, inverse problems, numerical analysis, fluid dynamics, integrable systems (solitons), geometry and topology, etc.
On this occasion, we will inaugurate the Asian Consortium of Mathematics for Industry (ACMI) in the East Asian and Pacific areas, an idea planned since the fall of 2009. ACMI aims to create a strong international platform for development of worldwide activities involving mathematics for the industry.
Lectures
"From the Euler operator to multivariate Meixner-Pollaczek polynomials",
National University of Singapore (June 24, 2011, Singapore)
Forum "Math-for-Industry" 2010
Information security, visualization, and inverse problems, on the basis of optimization techniques,
October 21-23, 2010, Fukuoka
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Information security, visualization, and inverse problems, on the basis of optimization techniques, October 21-23, 2010, Hilton Fukuoka, Sea Hawk
Study Group Workshop
October 25-29, 2010,
Graduate School of Mathematical Sciences, The University of Tokyo
▼“FMI2010”
At the 3-day workshop, we will mutually relate and discuss the three topics: the information security, visualization, inverse problems, on the basis of optimization techniques, and at the succeeding 5-day study group, after proposals of concrete real problems from companies and public institutes, we will work towards solutions by divided groups of participants.
“Ever-Expanding Mathematics--- Expectations from the Society”
“Ever-Expanding Mathematics--- Expectations from the Society”
DATE: 22th (afternoon)-23th February 2010
PLACE: The University of Tokyo, Komaba Campus, Graduate School of Mathematical Sciences, The Main Auditorium
Implementing Organizations:
Kyushu University (Main), The University of Tokyo, The Mathematical Society of Japan, Nippon Steel Corporation
Support Organizations:
The Japan Society for Industrial and Applied Mathematics, Japan Federation Statistical Science Associations
▼“Website”
CCRH2009
9-13 November, 2009
@ Nishijin Plaza, Kyushu University, Fukuoka, Japan
The year 2009 marks the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. Actually the paper in which Riemann proposed the hypothesis was published in November 1859. It was also the year when he was appointed as full-professor at Göttingen. Casimir, known for the Casimir force in physics and Casimir operators in mathematics, was director of Philips research for a long time in his career.
Casimir got his PhD in November 1931 at Leiden University and the named operators appeared in his thesis. He is remembered for his outspoken opinion on the importance of fundamental science for industry. There is a nice connection between Casimir and Riemann.
The Casimir force was first proven to exist theoretically, using the analytic continuation of the Riemann zeta function. Recently the force was measured experimentally.
▼ccrh2009 Website
▼ccrh2009Program
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