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Takuya Ooura is an Assistant Professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University, specializing in numerical analysis and mathematical software development. His work bridges theoretical mathematics with practical applications in scientific computing and software development. Dr. Ooura earned his educational credentials through a rigorous academic path: he graduated from Hokuriku High School in 1987; completed his undergraduate studies at Nagoya University's School of Science in 1992; earned his Master of Engineering from the Department of Applied Physics at the University of Tokyo in 1994; and completed his PhD (Engineering) from the same department in 1997. His academic journey continued with a Research Fellowship from the Japan Society for the Promotion of Science (1997) followed by a position as Research Associate at RIMS, Kyoto University (2000). Dr. Ooura's research focuses on numerical integration algorithms, particularly his groundbreaking double exponential formula for Fourier-type integrals, which has been incorporated into Mathematica's NIntegrate function. He has also developed a high-speed FFT library that's utilized in Google Chrome browser (visible in chrome://credits). His work on continuous Euler transformation for accelerating convergence of slowly decaying integrals represents significant innovation in numerical analysis. His research spans both theoretical development and practical implementation of mathematical algorithms with real-world applications. His publication record demonstrates consistent contributions to numerical analysis, with particular emphasis on quadrature methods, integral transforms, and high-precision computation. His work shows a clear progression from theoretical foundations to practical implementations, with several algorithms achieving widespread adoption in commercial and open-source software. Paper prize awarded by JSIAM (2000) for 'A continuous Euler transformation and its application to Fourier transforms of slowly decaying functions' Paper prize awarded by JSIAM (2001) for 'Improvement of the PI Calculation Algorithm and Implementation of Fast Multiple-Precision Computation' Paper prize awarded by JSIAM (2005) for 'An Improved Convergence Test for the Double Exponential Formula' Japan Society for Industrial and Applied Mathematics 4th Achievement Award (2014) for 'Pioneering and practical development of the double exponential numerical integration method' Dr. Ooura has developed several widely used mathematical software packages including the double exponential integral formula, Clenshaw-Curtis numerical integration rule, and a general-purpose FFT library. His FFT package is particularly notable for its speed and accuracy, with benchmark tests showing superior performance compared to other implementations. His software has been incorporated into major projects including Google Chrome and SETI@home, demonstrating the practical impact of his theoretical work. His future research directions include further development of numerical computation libraries and applying his methods to various computational problems.

• Numerical Analysis
• Numerical Integration
• Algorithms
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Ralph WILLOX is a Professor in the Department of Basic Analysis at the University of Tokyo's Graduate School of Mathematical Sciences. His research focuses on integrable systems, particularly discrete and ultradiscrete nonlinear dynamical systems, with applications to cellular automata and natural phenomena modeling. Research Areas : Integrable systems, Hirota's bilinearization method, Sato theory, discretization/ultradiscretization techniques. Affiliations : Mathematical Society of Japan, Japan Society of Industrial and Applied Mathematics (JSIAM), Councilor at the Solvay Institutes' International Physics and Chemistry Institutes. Teaching : Instructs Mathematics IA (Master's Program, Science 1) and Applied Mathematics XB (Graduate School of Mathematical Sciences). His work bridges algebraic methods with computational simulations, exploring how discrete systems retain essential dynamics of continuous models. Recent publications analyze generalized QRT mappings, ultradiscrete KdV solutions, and predator-prey system discretizations. Advisory Roles : Advisory Board member for the Journal of Physics A: Mathematical and Theoretical. Activities : Active in academic dissemination through seminars, conferences, and collaborative research projects.

• Applied Mathematics
• Integrable Systems
• Nonlinear Dynamical Systems
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Hiroshi Toyoizumi is a Professor at Waseda University's Faculty of Commerce and Graduate School of Accountancy, with a Ph.D. in Mathematical Physics from Waseda University. His work bridges Applied Probability , Operations Research , and Computational Biology , focusing on stochastic modeling across biological and network systems. Research Interests Stochastic Models in Biology : Analyzing social queues in hover wasps and meiotic DSB regulation using quasi-birth-death processes and survival analysis. Network Security : Modeling computer virus spread on scale-free networks and proposing active defense strategies. Queueing Theory : Developing analytical frameworks for on-demand streaming, quantum merging, and blockchain-based systems. Article Trends Recent work (2020-2024) explores nonlocal diffusion , quantum queueing , and swarm behavior in financial markets . Mid-2010s studies focus on cooperative breeding and DNA recombination dynamics . Early papers (pre-2010) examine computer virus ecology , secure group communication , and deterministic queue analysis . Scientific Awards Biotechno 2013 Best Paper Award IEICE Switching Workshop SSE Research Award (1999) IEICE Young Research Engineer Award (1997) Teaching Activities Graduate-level courses in Operations Research and Financial Engineering . Undergraduate and graduate seminars in Applied Mathematics and Probabilistic Models .

• Applied Probability
• Operations Research
• Computational Biology
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Hisatoshi Tanaka is a Professor at Waseda University's Faculty of Political Science and Economics and Graduate School of Economics . He specializes in information geometry , econometrics , and mathematical economics , focusing on the geometric structures of economic models and optimal experimental design. Education : Ph.D. in Economics (2013) from the University of Wisconsin-Madison, preceded by studies at Waseda University (B.A. 1997, M.A. 2008). Research spans nonlinear economic dynamics, stochastic differential equations, and geometric approaches to binary choice models. His 2024 work on dually flat manifolds and 2023 studies on differential geometry for contingent valuation highlight his integration of advanced mathematics into economic theory. He has published extensively in journals like Information Geometry and Advances in Mathematical Economics . Scientific Awards : Recipient of multiple Waseda University Teaching Awards (2014-2023) for courses in microeconomics, economic mathematics, and econometrics. Teaching includes graduate-level courses such as Microeconomics III (Price Theory) and research guidance in theoretical economics. He supervises seminars in both the Graduate School of Economics and Political Science, emphasizing semiparametric estimation theory and mathematical foundations. Projects include nonlinear dynamics modeling for economic fluctuations, stochastic differential equation approximations, and percolation theory applications to stock market analysis. Funded by Japan Society for the Promotion of Science grants.

• Economic Theory
• Econometrics
• Applied Mathematics and Statistics
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Shigeaki Koike is a Professor at Waseda University's School of Advanced Science and Engineering, specializing in viscosity solution theory for partial differential equations. He has held academic positions at Waseda University since 2019, following professorships at Tohoku University (2012-2019) and Saitama University (2006-2012). His academic journey began at Waseda University where he completed both his undergraduate studies (1981) in Physics and his graduate studies (1988). His research focuses on viscosity solution theory , particularly for fully nonlinear partial differential equations . Key areas include maximum principles (especially ABP-type), regularity theory for equations with unbounded coefficients, obstacle problems, and integro-differential equations. His work provides fundamental theoretical frameworks for analyzing nonlinear phenomena in mathematical physics and engineering applications. His publication record shows consistent research output with 37 papers and 517 citations (h-index 13) as of 2025. His recent work (2015-2024) demonstrates continued leadership in the field, with emphasis on equations with unbounded terms, obstacle problems, and regularity results. His research shows a clear progression from foundational theory to increasingly complex applications. Analysis Prize (2016) from Japanese Mathematical Society for work on Lp viscosity solution theory JMSJ Outstanding Paper Prize (2010) from Japanese Mathematical Society Professor Koike serves on committees for the Japanese Mathematical Society and has participated in numerous international conferences as an invited speaker. His current research project (2020-2025) focuses on regularity theory for viscosity solutions of fully nonlinear equations and applications. His work bridges pure mathematical analysis with applications in physics and engineering, demonstrating the power of viscosity solution methods in handling complex nonlinear phenomena.

• Viscosity Solution Theory
• Partial Differential Equations
• Nonlinear Analysis
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Kuniaki Yabe is an Associate Professor at Waseda University's Research Institute for Advanced Networked and Collaborative Research Organization for Smart Society (RIANT, ACROSS) since August 2016. He also holds a concurrent position as a Visiting Professor at Tokyo University of Agriculture and Technology since April 2014. His academic career follows extensive industry experience at Tokyo Electric Power Company where he worked from 1980 to 2009 in various technical and management roles. Education: Ph.D. in Engineering (2012.03) from Tokyo University of Agriculture and Technology Bachelor's degree in Electrical Engineering from The University of Tokyo (1975-1980) Research Interests: Professor Yabe specializes in power systems engineering with a focus on smart grid technologies, power system operation and planning, renewable energy integration, storage battery systems, and economical evaluation of energy systems. His work addresses critical challenges in transitioning to sustainable energy systems while maintaining reliability and economic efficiency. Research Trends: Professor Yabe's recent publications (2017-2024) demonstrate a strong focus on integrating renewable energy sources into power systems, with particular emphasis on battery storage solutions, hydrogen energy systems, and policy mechanisms like CO 2 reduction surcharges. His work combines detailed power system modeling with economic and environmental analysis to provide comprehensive evaluations of energy transition pathways, with significant attention to frequency control requirements and curtailment issues in high renewable penetration scenarios. Professional Activities: Member of Japan Society of Energy and Resources Member of Japan Society for Simulation Technology Member of The Institute of Electrical Engineers of Japan Former board member and vice president of Japan Society for Simulation Technology (2006-2012) Former board member and vice president of Japan Society for Applied Mathematics (2005-2012) Current Projects: Professor Yabe is involved in research projects related to renewable energy integration, including work with NEDO on "Advanced Measures for Renewable Energy Grid Connection Expansion" (2016-2018). He also serves as a Concurrent Researcher at Waseda Center for a Carbon Neutral Society (2024-2026) and teaches "Advanced Electrical Energy Systems" at Waseda University's Graduate School of Advanced Science and Engineering.

• Smart Grid
• Power Systems
• Power Generation Planning
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Takeshi Ikeda is a Professor at Okayama University of Science , Faculty of Science and Engineering, Department of Applied Mathematics. His research spans algebraic geometry, combinatorics, and representation theory, with a focus on Schubert calculus and integrable systems. Education: Ph.D. in Natural Science from Tohoku University (1996). Sub-affiliations: Graduate School of Fundamental Science and Engineering, Waseda Research Institute for Science and Engineering (2024–2026). Ikeda's research explores the combinatorial and algebraic properties of Schubert classes in equivariant quantum cohomology rings, particularly for isotropic Grassmannians. His work connects Pfaffian formulas, Chern classes, and tautological bundles to Schubert calculus, with applications to conformal field theory and integrable systems. Recent publications highlight trends in K-theory and equivariant cohomology , including studies of affine Grassmannians, Schur functions, and degeneracy loci. Articles from 2024–2025 emphasize quantum cohomology, Peterson isomorphism, and symplectic geometry.

• Algebra
• Combinatorics
• Integrable Systems
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Nobuya Watanabe serves as an Associate Professor at Waseda University with primary appointment in the School of Commerce (Faculty of Commerce), alongside secondary affiliations at the School of Education (Faculty of Education and Integrated Arts and Sciences) and Graduate School of Fundamental Science and Engineering (Faculty of Science and Engineering). He holds a Doctor of Science (理学博士) degree from Waseda University, specializing in mathematical sciences. Watanabe's research centers on geometric dynamics, particularly growth sequences in circle and interval diffeomorphisms. His work investigates differential growth under iteration in non-periodic systems, bridging differential geometry with topological dynamics through rigorous analysis of smooth mappings on one-dimensional manifolds. His publication record reveals sustained contributions to geometric functional analysis over two decades, with emphasis on asymptotic behavior in diffeomorphism iterations. These studies establish fundamental connections between geometric structures and dynamical properties in low-dimensional systems. As an educator, Watanabe supervises master's theses in Pure and Applied Mathematics while teaching advanced topology seminars, manifold theory courses, and foundational mathematics for commerce students. Since 2019, he has contributed research insights as a Concurrent Researcher at Waseda's Research Institute of Business Administration.

• Geometry
• Differential Geometry
• Dynamical Systems
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Takafumi Mase is an Assistant Professor at the Graduate School of Mathematical Sciences, University of Tokyo . His research focuses on integrable systems and discrete dynamical systems , with an emphasis on algebraic approaches to integrability criteria.

• Integrable Systems
• Discrete Dynamical Systems
• Applied Mathematics

Tomohiro Yanao is a Professor at Waseda University's Faculty of Science and Engineering, School of Fundamental Science and Engineering. His academic career spans over 15 years at Waseda, having progressed from Assistant Professor (2009) to Associate Professor (2011) and finally to his current position as Professor. His research bridges the gap between microscopic molecular systems and macroscopic astronomical phenomena through the lens of nonlinear dynamics and geometric mechanics. His educational background includes: Ph.D. in Multidisciplinary Science from the Graduate School of Arts and Sciences, University of Tokyo (2003) Professor Yanao's research interests focus on the intersection of physics, mathematics, and molecular science. He specializes in statistical mechanics, nonlinear dynamics, and geometric mechanics, applying these to understand collective motions in complex systems. His work reveals how geometric phase effects and symmetry breaking drive structural transitions in both molecular and astronomical systems. He has made significant contributions to understanding the mechanics of molecular motors, DNA structure, and orbital dynamics in celestial mechanics. His publication record shows a consistent focus on geometric mechanics applied to diverse systems, from polymer chains and DNA to celestial bodies. The research demonstrates how internal shape changes can induce rotational motions without external torque, connecting phenomena from the "falling cat" problem to molecular motors like ATP synthase. His work also bridges molecular and astronomical scales through the common framework of nonlinear dynamics and three-body problems. Professor Yanao has been actively involved in several major research projects: Study on the mechanisms for collective motions of molecular and astronomical systems based the methods of many-body problems (2014-2017) Study on collective motions and functions of complex molecular systems based on the geometry of shape and rotational dynamics (2011-2014) Elucidation of the mechanisms for collective motions of complex molecular systems with hierarchical structures (2009-2010) He teaches a wide range of courses including Statistical Mechanics, Dynamics, Applied Mechanics, and Aerospace Engineering Laboratory. He also supervises graduate theses in the Graduate School of Fundamental Science and Engineering, focusing on nonequilibrium statistical mechanics and applied mathematics.

• statistical mechanics
• nonlinear dynamics
• geometric mechanics
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Takuya Sobukawa is a Professor at Waseda University's Global Education Center since 2014. His academic journey includes professorships at Okayama University (1997–2010, 2010–2014) and Hyogo University of Teacher Education (1997–2010). His research spans Real Analysis , Interpolation/Extrapolation Theory , and Mathematics Education . He has led significant grants on function spaces and operator theory, with a focus on Morrey, Lorentz, and Orlicz spaces. Education: M.SC. and Ph.D. from Keio University (1986–1992). His publications bridge complex interpolation , stochastic convolutions , and harmonic analysis . Recent works include Morrey space preduals (2019) and applications to PDEs. He has presented globally, including at RUDN University (2017) and Kyoto University RIMS (2004), and contributed to projects on ICT in mathematics education and English-math integration . Notable grants include JSPS-funded studies on variable-exponent function spaces (2012–2015) and geometric constants in Banach spaces (2007–2009).

• Mathematics Education
• Real Analysis
• Interpolation Theory
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Hiroaki Yoshimura is a Professor of Applied Mathematics and Mechanics in the Department of Applied Mechanics and Aerospace Engineering at Waseda University's Faculty of Science and Engineering. With a career spanning over three decades at Waseda University, he has established himself as a leading researcher in geometric mechanics, dynamical systems, and mathematical physics, with significant contributions to space mission design and thermodynamics. Yoshimura received his BS in 1986, MS in 1988, and PhD in Engineering in 1995, all from Waseda University. His academic progression shows steady advancement: Research Associate (1992-1995), Assistant Professor (1995-1997), Associate Professor (1997-2003), and Full Professor (2003-present). Notably, he spent the 2002-2003 academic year as a Visiting Faculty member at Caltech's Division of Applied Science and Engineering, working with Jerry Marsden. Professor Yoshimura's research focuses on the mathematical foundations of mechanics and thermodynamics. His primary interests include geometric mechanics, dynamical systems, and classical field theories, with particular emphasis on Dirac structures, Lagrange-Dirac dynamical systems with symmetry, and applications to nonholonomic systems, circuits, and continuum mechanics. He has pioneered variational formulations of nonequilibrium thermodynamics, bridging mathematical theory with physical applications. His work also extends to practical aerospace engineering problems, including space mission design based on restricted three-body problems, Lagrangian coherent structures in fluids, and mathematical modeling of cavitation bubbles with induced shock waves. His research demonstrates a unique ability to connect abstract mathematical concepts with concrete physical phenomena across multiple disciplines. Analysis of his recent publications reveals a strong trend toward unifying geometric mechanics with thermodynamics through Dirac structures. His work consistently develops mathematical frameworks that can handle both conservative and dissipative systems within a single geometric structure. This approach has proven particularly valuable for modeling open thermodynamic systems that exchange heat and matter with their environment. In astrodynamics, his research shows innovative applications of tube dynamics and invariant manifolds for low-energy space mission design, particularly for missions involving Martian moons and Earth-Moon transfers. Kurata Foundation Research Fellowship (1997) Kawakami Memorial Foundation Research Fellowship (1996) Society of Instrumentation and Control Engineers, Young Investigator Award (1987) Professor Yoshimura has maintained active research collaborations internationally, particularly with François Gay-Balmaz on thermodynamics and with aerospace engineers on space mission design. His publication record demonstrates consistent productivity with high-impact contributions, as evidenced by 82 papers cited 687 times in Scopus (h-index 13) and 1,281 citations in Google Scholar (h-index 17). His work has established important connections between geometric mechanics and nonequilibrium thermodynamics, creating new mathematical frameworks for understanding complex physical systems. Yoshimura's research group at Waseda University focuses on the intersection of geometric mechanics, dynamical systems theory, and mathematical physics. The group maintains strong connections with both theoretical mathematicians and applied aerospace engineers, facilitating cross-disciplinary research that bridges abstract theory with practical applications. Their work on Lagrangian coherent structures has particular relevance for understanding fluid dynamics in both terrestrial and space environments.

• Geometric Mechanics
• Dynamical Systems
• Classical Field Theories
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Makiko Sasada is a Professor at the Graduate School of Mathematical Sciences, The University of Tokyo. Her research focuses on probability theory, interacting particle systems, and classical integrable systems, with an emphasis on hydrodynamic limits, spectral gaps, and non-gradient models. She has made significant contributions to understanding energy diffusion in stochastic systems and integrable cellular automata like the box-ball system. 2010: MSJ Takebe Katahiro Prize for Encouragement of Young Researchers 2011: Second JSPS Ikushi Prize 2011: University of Tokyo President's Prize Her recent work explores scaling limits in the box-ball system, thermal conductivity in stochastic models, and topological structures in large-scale systems. She actively participates in international conferences, serves as an associate editor for leading journals, and organizes educational initiatives like the FoPM program, which trains students to apply basic science to societal challenges through mathematical and physical innovation. Selected publications include: The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation (2025) Characterization of Gradient Condition for Asymmetric Partial Exclusion Processes (2025) Topological structures of large-scale interacting systems (2024)

• Probability Theory
• Interacting Particle Systems
• Hydrodynamic Limits
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Takahisa Harayama is a Professor at the School of Advanced Science and Engineering, Waseda University. His research focuses on mathematical physics , condensed matter physics , and nonlinear optical systems , particularly chaotic dynamics in semiconductor lasers and microcavities. Affiliation: Faculty of Science and Engineering, Waseda University Research Areas: Chaos theory, photonic integrated circuits, quantum dot optics, laser dynamics Harayama's work bridges theoretical physics and applied optics , with significant contributions to understanding single-mode lasing in chaotic cavities , random bit generation using optical chaos , and polarization switching in microcavities . His studies often combine Maxwell-Bloch equations , ray-wave correspondence , and experimental validation via semiconductor devices. The articles highlight trends in chaotic laser systems for secure communications, directional emission via dynamical tunneling , and high-speed physical random number generation . Key subfields include feedback delay control , mode interaction , attractor expansion , and applications to cryptography .

• Mathematical Physics
• Condensed Matter Physics
• Optics
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Yoshihiro Yamazaki is a Professor at the Faculty of Science and Engineering, School of Advanced Science and Engineering at Waseda University. He has been affiliated with Waseda University since 2003, progressing through various academic positions. His research spans mathematical physics, condensed matter theory, dynamical systems, and applications to sports analytics, particularly in football (soccer) analysis. Dr. Yamazaki earned his Doctor of Science degree from Kyoto University in March 1999. His educational background includes: Graduate School of Science, Department of Physics and Astrophysics, Kyoto University (1996-1999) Graduate School of Science, Department of Physics I, Kyoto University (1994-1996) Faculty of Engineering, Kyoto University (1990-1994) Yamazaki's research primarily focuses on mathematical physics and fundamental theory of condensed matter physics. His work explores dynamical systems, particularly ultradiscrete and max-plus systems, bifurcation theory, and pattern formation. More recently, he has applied mathematical and statistical physics approaches to sports analytics, developing novel methods for football game analysis including space evaluation, formation clustering, and ball possession dynamics. His interdisciplinary research bridges theoretical physics with practical applications in sports science. Analysis of Yamazaki's recent publications reveals a consistent focus on dynamical systems theory with applications spanning from fundamental mathematical physics to sports analytics. His work on ultradiscrete systems, max-plus algebra, and bifurcation theory demonstrates deep theoretical contributions, while his football analytics research shows practical application of complex systems theory. The interdisciplinary nature of his work connects mathematical physics with real-world phenomena across diverse domains. Dr. Yamazaki has received notable recognition for his work, including: 45th Society Award (2023) from Japan Adhesion Society While specific information about his advisees isn't provided in the available data, Dr. Yamazaki has been actively involved in research projects that likely involve mentoring students. His extensive publication record spanning over two decades suggests significant contributions to academic training. His research has been supported by various grants, as evidenced by his numerous publications in high-impact journals across physics, mathematics, and interdisciplinary fields. Yamazaki's research group appears to focus on interdisciplinary applications of mathematical physics, with particular emphasis on complex systems analysis. His recent work on football analytics suggests collaboration with sports scientists and data analysts, creating a multidisciplinary research environment that bridges theoretical physics with practical applications in sports science.

• Mathematical Physics
• Condensed Matter Physics
• Dynamical Systems
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