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fixed#fixed" data-fixed-isfixed-value="false"> Academics Research Campus Life Admissions & Aid About ACCESS Apply GIVE JP EN For Others, With Others shortcut-nav#toggleOpen"> JP EN ACCESS APPLY GIVE Articles Features The Knot Mathematics: approaching an unsolved problem, and opening up new possibilities for society #Faculty #Mathematics Division #Master’s & Doctoral Programs in Science and Technology #Department of Information and Communication Sciences #Graduate School of Science and Technology #Faculty of Science and Technology 2023.07.27 Maki Nakasuji Professor Department of Information and Communication Sciences Faculty of Science and Technology copyurl#copy"> bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Professor Maki Nakasuji of the Faculty of Science and Technology studies analytic number theory and representation theory. She introduces new zeta functions that are involved in both theories, and studies their properties such as symmetry and duality to explore the possibility of new approaches to elucidate the nature and structure of the problem. The Riemann hypothesis was proposed in 1859 by the German mathematician Bernhard Riemann, and relates to the regularity of the distribution of prime numbers. More than 160 years have passed since Riemann made his conjecture yet, despite incredible advances in computing, it has still not been proved. I learned about the Riemann hypothesis and its history when I was a student, which was the chance to study analytic number theory. Studying that theory, in particular, the Riemann zeta function, showed me the breadth of the world of mathematics and made me addicted to its fun. My first thesis was entitled “Prime geodesic theorem via the explicit formula of Ψ for hyperbolic 3-manifolds” in my first-year of Master’s studies. It discussed the regularity of the distribution of prime geodesics on 3-dimensional manifold, as a geometric analogue to the prime number theorem, which seeks to describe the distribution of prime numbers. My approach was to use a function known as the Selberg zeta function, which itself is a geometric analogue to the Riemann zeta function. Since my research pertained to the distribution of spectra in hyperbolic spaces, it was widely praised. New research object combining analytic number theory and representation theory Analytic number theory and representation theory remain areas of great interest to me. On the other hand, I also wished to find my own unique approach to the research subjects of these theories. In recent years, I have defined the Schur multiple zeta functions, which is a new kind of zeta function with Schur function structure. Schur function is an important research subject in representation theory. I am working to shed light on the following questions: would the properties of the original functions be maintained? or would it lead to the discovery of new properties and structures in both representation theory and analytic number theory as an application of this function? It will take time, but my goal is to formulate a new theory by elucidating each of its properties. Drawing on multiple theories and utilizing interdisciplinary approaches can increase our understanding of the essence and structures of various problems. I hope that this theory will one day help solve unsolved conjectures. The power of mathematics to solve complex business questions I am often asked how mathematical research benefits society. Mathematics is a field of pure research and, as such, its benefits to society are not immediate. Let us take cryptography as an example. Cryptography, which is indispensable for the safety of our digital society, makes use of prime numbers—but the mathematics it is based on is several hundreds of years old. It has already been shown that black holes and other space physics phenomena are directly linked to zeta functions. Indeed, cutting-edge mathematics will doubtlessly be essential to the progress of space engineering and information society—two fields which will only increase in importance going forward. As technologies mature, mathematics is required to take the next step—and for this reason, many corporations are looking to mathematics to make their next breakthroughs. If we do not limit ourselves to just one branch of mathematics and, instead, take a more interdisciplinary approach to utilizing mathematics in society, then its effects will surely exceed our expectations. The power and fascination of mathematics can only be fully understood through study; while it may not be the easiest of subjects, I encourage anyone with even the slightest interest to embrace the challenges it presents. The book I recommend “Futari de tsumuida monogatari”(A story created by the two of us) by Fumiko Yonezawa, Demadosha Autobiography of Fumiko Yonezawa, a leading scientist and former president of the Physics Society of Japan. Yonezawa was torn between becoming a researcher or a full-time housewife, until a conversation with her husband-to-be prompted her to continue as an academic even after marriage. When I was at a similar crossroads, this book taught me it was possible to combine research and motherhood. Maki Nakasuji Professor Department of Information and Communication Sciences Faculty of Science and Technology Professor Maki Nakasuji graduated from the Department of Mathematics, Faculty of Science and Technology, Keio University, and received her Ph.D. in science from the university’s Graduate School of Science and Technology. She worked as a Young Scientist Research Fellow at the Japan Society for the Promotion of Science, a fellow at the Center of Excellence Program, Keio University, a researcher at the Tsuda University Institute for Mathematics and Computer Science, a research scholar at Stanford University, a lecturer at the Center for Liberal Arts, Kitasato University College of Liberal Arts and Sciences, and an associate professor at the Faculty of Science and Technology, Sophia University. Nakasuji was appointed to her current position in 2021. Department of Information and Communication Sciences Interviewed: August 2022 copyurl#copy"> bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> #The Knot- Nexus of Knowledge by Sophia Professors #Faculty #Mathematics Division #Master’s & Doctoral Programs in Science and Technology #Department of Information and Communication Sciences #Graduate School of Science and Technology #Faculty of Science and Technology View full article list Related Contents The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Pondering post-Soviet states relationships and seeking a way to international peace #Department of Russian Studies#Faculty of Foreign Studies 2023.01.24 Read The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Managing Science and Technology Challenges for International Security #Department of Global Studies#Faculty of Global Studies 2023.06.30 Read The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Exploring the history of collective amnesia for a fairer representation of public history #Department of History#Faculty of Humanities 2023.03.17 Read The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Perfective or imperfective? Differentiating between Russian verb forms #Department of Russian Studies#Faculty of Foreign Studies 2024.01.11 Read The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> Management skills for nurses of community-based integrated care and interprofessional work #Faculty of Human Sciences#Department of Nursing 2023.10.31 Read The Knot- Nexus of Knowledge by Sophia Professors bookmark#toggle keyup.enter->bookmark#toggle onBookmarkItemUpdate@window->bookmark#handleUpdate"> If Jesus lived in present-day Japan: reading Christianity from modern perspectives #Department of Theology#Faculty of Theology 2023.03.02 Read HOME Articles Features The Knot- Nexus of Knowledge by Sophia Professors Mathematics: approaching an unsolved problem, and opening up new possibilities for society Sophia University For Others, With Others Official Social Media Academics accordion#toggle" > Undergraduate Programs accordion#toggle" > Faculty of Theology Faculty of Humanities Faculty of Human Sciences Faculty of Law Faculty of Economics Faculty of Foreign Studies Faculty of Global Studies Faculty of Liberal Arts Faculty of Science and Technology SPSF: Sophia Program for Sustainable Futures University-wide General Education accordion#toggle" > Studies in Christian Humanism Embodied Wisdom The Art of Thinking and Expression Data Science Language Education Global Education at Sophia University accordion#toggle" > Learning at Sophia University Learning Abroad Learning Support Graduate Programs accordion#toggle" > Graduate School of Theology Graduate School of Humanities Graduate School of Applied Religious Studies Graduate School of Human Sciences Graduate School of Law Graduate School of Economics Graduate School of Languages and Linguistics Graduate School of Global Studies Graduate School of Science and Technology Graduate School of Global Environmental Studies Graduate Degree Program of Applied Data Sciences Course of Midwifery Lifelong Learning Research accordion#toggle" > Sophia University Research Initiatives accordion#toggle" > Sophia Open Research Weeks (SORW) Research Institutes Industry-Government-Academia Collaboration Intellectual Property Sophia University’s Research Promotion System accordion#toggle" > Research on Priority Areas and Research on Optional Subjects Regulations Governing Research Activities and Use of Research Funds Campus Life accordion#toggle" > Semester Classification and Class Schedule Extracurricular Activities Volunteer Activities Global Learning Community Student Counseling Services accordion#toggle" > Mental and Physical Health Consultation Harassment Prevention Measures Support for Students with Disabilities Career Development Support accordion#toggle" > Career Design Program Career support for students with Study Abroad experience / Global Careers Statistics Relating to Post-graduation Employment (Provisional Acceptance), Graduate Outcomes, etc. Guidance for Corporate Recruiters Guidance for Graduates Housing Support Facilities Available on and off Campus accordion#toggle" > Facilities available at the Yotsuya Campus Other Facilities Admissions & Aid accordion#toggle" > Sophia University Admissions Policy Degrees offered by Sophia University Non-Matriculated Student Research Student, Foreign Special Research Student, and MEXT Scholarship Student Exchange Student from an Overseas University Non-Degree Student Sophia Short-term Program Student Tuition and Scholarships accordion#toggle" > Tuition Scholarships to Apply for Before Entering Undergraduate Programs Scholarships for Undergraduate Students New National Financial Support Program for Receiving Higher Education Scholarships for Graduate School Students Expenses and Scholarships for Studying Abroad Financial Support for Those with Abrupt Changes in Family Economic Circumstances and for Victims of Disasters About accordion#toggle" > Message from the President The Spirit of Sophia University accordion#toggle" > Philosophy of Sophia University History of Sophia University Sophia Archives Sophia as a Catholic University Global Engagement accordion#toggle" > Visits from Global Intellectuals Global Campus United Nation Weeks &＃038; 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