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Katsuhiko Okumura is a Lecturer at Waseda University's Affiliated Senior High School , holding a Doctor of Science degree from Waseda University (2022). His research focuses on the intersection of algebraic geometry and Poisson structures , particularly the classification of log symplectic structures on Fano varieties and projective spaces. Okumura's work extends the characterization of projective spaces via Poisson structures to higher dimensions and blow-ups, with publications in Canadian Mathematical Bulletin and Letters in Mathematical Physics . He is involved in constructing SNC/V-NC log-symplectic structures and exploring their role in characterizing Fano manifolds and toric varieties. His research projects include: Constructions of log symplectic structures on quadric hypersurfaces (2021–2023, JSPS Grant-in-Aid for Research Activity Start-up) Generalizing Poisson structures to toric varieties and stacks (2024, Internal Special Research Projects) Studying singular points of degenerate divisors in log-symplectic structures (2024) Classification of V-NC log symplectic structures on toric Fano varieties (2023) Okumura has presented at academic workshops and collaborates with researchers in algebraic geometry, with ongoing work on extending Poisson structures to toric varieties and weighted/projective stacks.

• Algebra
• Algebraic Geometry
• Poisson Geometry
• +5 more

Hayato Chiba is a Professor of Mathematics at the Advanced Institute for Materials Research (AIMR) at Tohoku University in Japan. His research focuses on dynamical systems theory, particularly bifurcation theory, synchronization phenomena, and the Kuramoto model of coupled oscillators. He has made significant contributions to understanding synchronization in infinite-dimensional systems and their applications to diverse fields including machine learning, brain science, and diabetes research. Chiba received his PhD from Kyoto University's Graduate School of Information Science in 2009. After serving as a Japan Society for the Promotion of Science Special Researcher and holding positions at Kyushu University, he became a Professor at Tohoku University's Institute for Advanced Materials Science in 2019. His academic journey demonstrates a strong progression from theoretical mathematics to interdisciplinary applications. Chiba's research interests span dynamical systems theory , differential equations , and nonlinear functional equations , with particular focus on bifurcation theory, chaos, and the Painlevé equations. His work bridges abstract mathematical theory with practical applications in physics, engineering, biology, and medicine. Recent research has explored synchronization phenomena in coupled oscillator systems, which have implications for understanding brain function, cardiac rhythms, and other biological processes. His approach combines rigorous mathematical analysis with computational methods to tackle problems in systems with large degrees of freedom. Chiba's publication record shows a consistent focus on advancing the mathematical theory of synchronization, particularly through spectral methods and bifurcation analysis. His work demonstrates progression from foundational theoretical work to increasingly applied research, with recent papers addressing medical applications. The Kuramoto model and its variants form a central theme throughout his work, showing evolution from basic theoretical analysis to applications in neuroscience and other fields. 2013 2nd Hiroshi Fujiwara Mathematical and Physical Science Awards for 'The solution that combines the oscillator system's ideas' 2016 Minister of Education, Culture, Sports, Science and Technology Commendation Award for Wakatek Scholars 2018 Kyushu University Lecture Award Chiba has secured substantial external funding throughout his career, including JSPS grants, JST SAKIGAKE projects, CREST funding, and Medical Research and Development Projects. His research group explores the mathematics of synchronization phenomena through both theoretical development and experimental validation, as evidenced by his metronome synchronization demonstrations. Chiba actively collaborates across disciplines, working with physicists, biologists, and medical researchers to apply mathematical insights to real-world problems.

• Dynamical Systems
• Bifurcation Theory
• Singular Perturbation Theory
• +9 more

Khanh Duy Trinh is a Professor (non-tenure-track) at Waseda University's Global Center for Science and Engineering, specializing in probability theory and its applications to random matrix theory and stochastic topology. He holds a PhD from Osaka University (2012) and has held academic positions at Tohoku University and Kyushu University. Current affiliation: Waseda University (2025-present) Past roles: Associate Professor at Waseda (2019-2025), Tohoku University, Kyushu University Research areas: Beta ensembles, Random topology, Spectral measures, Stochastic geometry His work demonstrates universal behavior in random matrix models through spectral analysis and topological persistence. Key contributions include central limit theorems for eigenvalue statistics, Poisson approximations in high-temperature regimes, and geometric interpretations of persistence diagrams. His recent papers focus on generalized beta processes and higher-dimensional complex structures. Current projects include: JSPS Grant 2024-2029: Universal approaches in random matrix theory Past JSPS Grant 2019-2023: Multi-aspects of beta ensembles Teaching activities at Waseda include: Introduction to Probability and Statistics Advanced Probability and Statistics Master's Thesis advising in Pure and Applied Mathematics

• Probability Theory
• Applied Probability
• Random Matrix Theory
• +3 more