mathematics

Masato Wakayama

Masato Wakayama is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Masato Wakayama rather than just read about it. In short: Masato Wakayama (Japanese: 若山正人, romanized: Wakayama Masato; born November 1955) is a Japanese mathematician specializing in representation theory, number theory, and mathematical physics. He is the Research Principal of the NTT Institute of Fundamental Mathematics, President of ZEN University and Professor Emeritus at Kyushu University.

Key takeaways

Masato Wakayama belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Masato Wakayama to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Masato Wakayama from memory before moving on to harder problems.

Reference excerpt

Masato Wakayama (Japanese: 若山正人, romanized: Wakayama Masato; born November 1955) is a Japanese mathematician specializing in representation theory, number theory, and mathematical physics. He is the Research Principal of the NTT Institute of Fundamental Mathematics, President of ZEN University and Professor Emeritus at Kyushu University. He is also recognized for his efforts to improve research collaboration in mathematics between academia and industry and the development of mathematics among young people in Japan. He has occupied invited positions and given distinguished lectures in numerous institutions, including University of Bologna, Princeton University, and Indiana University.

Life Masato Wakayama was born in November, 1955. In 1985, he received his Doctor of Science degree in mathematics from Hiroshima University under the supervision of Kiyosato Okamoto. He worked as an assistant professor at Fukuyama University (1986-1989) and at Tottori University (1989-1994), moving later to Kyushu University, where he stayed until the end of 2019. In addition to the academic position, he held appointments as dean of the faculty of mathematics and graduate school of mathematics (2006-2010) and executive vice president of Kyushu University (2014-2019). He led the foundation of the Institute of Mathematics for Industry of Kyushu University in 2011, a research institute dedicated to promoting mathematical collaboration between academia and industry in Japan, and held the position of founding director of the institute until 2014. After concluding his period at Kyushu University, he joined Tokyo University of Science as vice president and professor at the Faculty of Science (2020-2021). Simultaneously, he occupied the position of Principal Fellow of the Center for Research and Development Strategy (CRDS) during 2020-2024, a public think tank of the Japan Science and Technology Agency (JST). In 2021, he founded the NTT Institute for Fundamental Mathematics (NTT IFM) in NTT R&D. Belonging to the NTT Communication Science Laboratories, the Institute for Fundamental Mathematics is dedicated to basic research in mathematics with topics including algebraic geometry, number theory, representation theory, dynamical systems and graph theory. Currently, he is the head of the institute and Fundamental Mathematics Research Principal. In 2025, he became the first president of ZEN University, an online university established by the Educational Institute of The Nippon Foundation and DWANGO Co., Ltd. Also, he has served as the president of the Mathematics Certification Institute of Japan. A conference on the occasion of his 70th birthday was held on October 2025 at Kyushu University. He has occupied diverse positions in institutions and committees in Japan, including:

Chair, Mathematics Innovation Committee in MEXT (2011-2017). Visiting professor, Institute of Science Tokyo (2011-present). Senior Advisor/Scientific Advisor, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEM.S) (2020-present). Advisor Board Member, Advanced Institute for Materials Research (AIMR), Tohoku University (2025-present). Chair, Mathematical Science (Cross-sectional Issue in JST), Moonshot R&D Program by Cabinet of Japan (2020-present). Editor-in-Chief, Mathematics for Industry Book Series of Nature-Springer. (2010-present). Editor-in-Chief, International Journal of Mathematics for Industry. (2009-2025). Chair and President, Asia Pacific Consortium of Mathematics for Industry (APCMfI) (2014-2021). Editor-in-Chief, High School Mathematics Textbook Series "Shinpen" (Japanese: 新興出版社啓林館, romanized: Shinko Shuppansha Keirinkan), (2015–2023) Editor-in-Chief, Library of Mathematical Foundations (Japanese: サイエンス社, romanized: saiensu sha), (2017–present).

Research His contributions are mainly in the areas of representation theory, mathematical physics, and number theory, particularly the theory of zeta functions. He stated the study of representation theory and invariant theory of the alpha-determinant, a generalization of the determinant interpolating the determinant and the permanent, leading to a notion of wreath determinants for a rectangular matrix with good invariant properties. Other contributions to the theory of determinants are the extension of the Capelli identity to the context of quantum group G L q ( n ) {\displaystyle GL_{q}(n)} , and a Pfaffian summation formula in terms of determinant minors for two matrices, which may be considered a Pfaffian version of the Cauchy-Binet formula for determinants. He also introduced the non-commutative harmonic oscillator, a matrix-valued differential operator generalizing the quantum harmonic oscillator, and studied the arithmetical properties of its spectral zeta functions, obtaining relations with elliptic curves, generalized Apéry numbers and modular forms. He has also contributed to the mathematical study of the spectrum of the quantum Rabi model, a model of quantum interaction. The two models are related via a confluence process of the ordinary differential equation pictures of their eigenvalue problems.

References

External links Homepage in Kyushu University IMI Masato Wakayama on Mathematics Genealogy Project Masato Wakayama on MathSciNet

Worked examples

Example 1 — a first encounter with Masato Wakayama

Start with the simplest possible case. Write down what Masato Wakayama claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Masato Wakayama before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Masato Wakayama ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Masato Wakayama

In research: Masato Wakayama appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Masato Wakayama in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Masato Wakayama is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1955 births, Academic staff of Kyushu University, Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Masato Wakayama outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Masato Wakayama in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Masato Wakayama means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Masato Wakayama out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Masato Wakayama in simple terms?

Why does Masato Wakayama matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Masato Wakayama?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Masato Wakayama.