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Yuichiro Hoshi is an Associate Professor at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University. His research focuses on arithmetic geometry , particularly anabelian geometry and p-adic Teichmüller theory , with a special emphasis on fundamental groups of algebraic varieties related to hyperbolic curves. Education: M.Sc. in Mathematics, Kyoto University (2006) D.Sc. in Mathematics, Kyoto University (2009) Research Interests: Yuichiro Hoshi's work delves into the deep connections between arithmetic geometry and Galois theory , exploring Grothendieck's anabelian conjecture , section conjecture , and p-adic Teichmüller theory . His research aims to understand the structure of fundamental groups of hyperbolic curves and their applications to number theory and algebraic geometry. Recent Publications: Hoshi has published extensively in top-tier journals, with recent works focusing on anabelian geometry of configuration spaces , hyperbolic curvoids , and inter-universal Teichmüller theory . His collaborations include notable mathematicians such as Shinichi Mochizuki and Shota Tsujimura. Scientific Awards: 28th Inoue Research Award for Young Scientists (2012) 1st IUT Innovator Prize (2024) International Engagement: Hoshi has held visiting positions at institutions such as the Isaac Newton Institute for Mathematical Sciences (Cambridge University), Université de Paris 6 , and Johann Wolfgang Goethe-Universität Frankfurt am Main . He actively organizes and participates in international conferences and seminars, contributing to the global advancement of anabelian geometry and related fields. Contact: Email: yuichiro@kurims.kyoto-u.ac.jp

• Arithmetic Geometry
• Anabelian Geometry
• p-adic Teichmüller Theory
• +5 more

Yu Yang is a Project Lecturer at the Research Institute for Mathematical Sciences (RIMS) , Kyoto University , Japan. He works in algebraic and arithmetic geometry , with a focus on curves and their moduli spaces in positive characteristic , using fundamental groups to study anabelian phenomena. His research is supported by JSPS KAKENHI grants. Education : PhD from RIMS, Kyoto University (2017), supervised by Shinichi Mochizuki . Research Interests : Yang's work centers on anabelian geometry in positive characteristic, exploring the interplay between topological/combinatorial structures of curves and their fundamental groups. He developed a theory of moduli spaces of fundamental groups to unify anabelian phenomena, inspired by Tamagawa's finiteness theorem. His methods combine algebraic geometry, group theory, and moduli space analysis. Article Trends : His publications and preprints emphasize moduli spaces of fundamental groups, tame/semi-stable reductions, Hasse-Witt invariants, and combinatorial approaches to anabelian geometry. Collaborations include work with Zhi Hu and Runhong Zong on moduli spaces and topology. Grants : Funded by JSPS KAKENHI grants 16J08847 , 20K14283 , and 24K16896 (since April 2024). Conferences : Co-organized the Fundamental groups: Geometry and Arithmetic workshop (2019) and multiple Kyoto+ Workshops with international participants. Teaching : Lecturer roles at Doshisha University (Algebraic Structures), Kyoto Institute of Technology (Linear Algebra), and Sennan University (Mathematical Foundations).

• Algebraic Geometry
• Arithmetic Geometry
• Anabelian Geometry
• +3 more

Yoichi Mieda is an Associate Professor at the Graduate School of Mathematical Sciences, University of Tokyo . His research focuses on Number Theory , particularly the Langlands correspondence , Shimura varieties , and Rapoport-Zink spaces . Mathematical Society of Japan His work connects automorphic representations and p-adic reductive groups through the geometry of Shimura varieties . Recent publications emphasize l-adic cohomology of Rapoport-Zink spaces, formal degree conjectures , and p-adic uniformization of algebraic varieties. Key collaborations include research with Naoki Imai on potentially good reduction loci of Shimura varieties and Tetsushi Ito on Lubin-Tate spaces. His contributions have advanced understanding of non-cuspidal cohomology and local Langlands correspondences .

• Number Theory
• Langlands Correspondence
• Shimura Varieties
• +4 more

Go Yamashita is a Lecturer at the Research Institute for Mathematical Sciences (RIMS), Kyoto University. His work focuses on advanced topics in arithmetic geometry and related fields. Email: gokun@kurims.kyoto-u.ac.jp Personal website: http://www.kurims.kyoto-u.ac.jp/~gokun/ His research spans several areas of mathematics: p-adic Hodge Theory and related structures like (φ,Γ)-modules and p-adic differential equations Iwasawa Theory and the Tamagawa number conjecture of Bloch-Kato Motivic Structures including mixed Tate motives and Tannakian fundamental groups Langlands Program with emphasis on automorphy lifting and p-adic Langlands correspondence Anabelian Geometry and inter-universal Teichmüller theory Algebraic Cycles and K-theory connections

• Arithmetic Geometry
• p-adic Hodge Theory
• Iwasawa Theory
• +14 more

Naoki Imai is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, specializing in Arithmetic Geometry, with a focus on Galois representations and moduli spaces. His research explores the intersection of number theory and algebraic geometry, particularly through applications to p-adic cohomology and Shimura varieties. Education: PhD in Mathematical Sciences, The University of Tokyo (2010) Master's in Mathematical Sciences, The University of Tokyo (2009) BSc in Mathematics, The University of Tokyo (2007) Research Interests: Galois representations Moduli spaces of arithmetic objects Geometrization of local Langlands correspondence Selected Awards: MSJ Takebe Katahiro Prize for Encouragement of Young Researchers (2011) Students: Katsuyuki Bando (2025) Joseph Muller (2023) Yuki Yamamoto (2022) Teppei Takamatsu (2022) His recent publications emphasize prismatic cohomology, moduli of p-divisible groups, and automorphic forms, with collaborations spanning institutions like Kyoto University, MIT, and UC Berkeley.

• Arithmetic Geometry
• Galois Representations
• Moduli Spaces
• +2 more

Professor Keiji Oguiso is affiliated with the Graduate School of Mathematical Sciences at the University of Tokyo , where he holds the academic rank of Professor in the Department of Mathematical Algebra . His work bridges Algebraic Geometry and Complex Dynamics , with a focus on Calabi-Yau manifolds , K3 surfaces , and hyperkähler manifolds . Research Highlights: Existence of primitive automorphisms in Calabi-Yau manifolds Non-liftability of automorphisms from positive characteristic to characteristic zero Applications of universal Coxeter groups to birational automorphism groups Investigations into the Kawamata-Morrison Cone Conjecture Selected Publications (2015) span topics like positive entropy automorphisms , non-algebraic hyperkähler manifolds , and Tits alternative , showcasing interdisciplinary trends between algebraic structures, dynamical systems, and geometric transformations. His earlier work (1991-2003) laid foundational insights in Mordell-Weil lattices and local K3 families . Scientific Awards: Takebe Katahiro Prize (1998) Algebra Prize, Mathematical Society of Japan (2009) Osaka University General Education Award (2011) Osaka University Presidential Award for Research (2015) Oguiso serves as an editor of the Journal of Algebraic Geometry and has held visiting positions, including as a KIAS Scholar . His research integrates birational geometry , complex dynamics , and arithmetic geometry , with ongoing collaborations and contributions to hyperkähler and Calabi-Yau manifolds.

• Algebraic Geometry
• Calabi-Yau Manifolds
• K3 Surfaces
• +3 more

Atsushi SHIHO is a Professor at the Graduate School of Mathematical Sciences, University of Tokyo, specializing in Arithmetic Geometry. His research focuses on p-adic cohomologies, p-adic fundamental groups, and p-adic differential equations over (log) algebraic varieties in positive characteristic. His publications include foundational work on crystalline cohomology, such as the two-part series on crystalline fundamental groups, as well as studies on isocrystals and Chern classes. His research bridges algebraic geometry and number theory through advanced p-adic methods. 2016 JSPS Prize 2011 Spring Prize of the Mathematical Society of Japan 2010 Ministry of Education Young Scientists' Award 2002 Takebe Katahiro Prize SHIHO also serves as an editor for the Journal of the Mathematical Society of Japan and is a member of the Mathematical Society of Japan.

• Arithmetic Geometry
• Algebraic Geometry
• Number Theory
• +3 more

Masanori Morishita is a Professor at Kyushu University, holding concurrent positions in the Faculty of Mathematics, Joint Graduate School of Mathematics for Innovation, School of Sciences Department of Mathematics, and Graduate School of Mathematics. His research focuses on Arithmetic Topology, exploring the interplay between number theory, 3-dimensional topology, and mathematical physics. He earned his Ph.D. from the University of Tokyo in 1992. Education: B.Sc. from University of Tokyo (1982–1986) Research Interests: Arithmetic Topology, Knot-Prime Analogy, Class Field Theory, Milnor Invariants, Galois Representations Teaching includes linear algebra, calculus, number theory, algebraic geometry, and topology. He has advised 11 master's and 7 doctoral students. His work bridges number theory and topology, with contributions to Ihara theory, Chern-Simons invariants, and arithmetic TQFT. Major grants include JSPS funding for projects on arithmetic field theories and 3D geometric topology. Notable contributions include founding the 'Low Dimensional Topology and Number Theory' conference series and organizing international conferences. He has been a visiting scholar at institutions worldwide, including Muenster University and the Australian National University.

• Arithmetic Topology
• Number Theory
• 3-Dimensional Topology
• +5 more

Koichiro Sawada serves as Project Assistant Professor at Kyoto University's Research Institute for Mathematical Sciences (RIMS), specializing in high-dimensional anabelian geometry with focus on fundamental groups of hyperbolic polycurves and configuration spaces. His academic background includes: Master of Science, Kyoto University (2016) Doctor of Science, Kyoto University (2019) Sawada's research explores deep connections between geometric structures and algebraic invariants through anabelian techniques. His work establishes reconstruction frameworks for hyperbolic polycurves using pro-p groups, cohomology, and Lie algebras, with applications to Grothendieck's conjecture and finiteness theorems in arithmetic geometry. Recent publications (2022-2024) demonstrate significant advancements in configuration space anabelian geometry across positive characteristic settings and generalized group-theoretic properties, building upon foundational 2018 work establishing cohomological aspects and pro-p conjectures for hyperbolic polycurves. Scientific recognition includes: Japan Society for the Promotion of Science Research Fellowship for Young Scientists (DC2) Japan Society for the Promotion of Science Research Fellowship for Young Scientists (PD) His research is supported through RIMS project funding and JSPS fellowships, with collaborative work spanning institutions in Japan, France, and Taiwan. Sawada actively contributes to the Arithmetic & Homotopic Galois Theory seminar at RIMS and maintains significant international collaborations. Current research directions involve extending anabelian reconstruction to new geometric contexts and developing computational approaches for fundamental group analysis, with upcoming presentations scheduled at the 2025 East Asia Number Theory Conference and ZMC Conference.

• Anabelian Geometry
• Algebraic Geometry
• Number Theory
• +2 more

Yohei Komori is a Professor at the Department of Mathematics, Faculty of Education and Integrated Arts and Sciences, Waseda University. His research spans hyperbolic geometry, Coxeter groups, Teichmüller theory, and low-dimensional topology. He has made significant contributions to understanding growth rates of hyperbolic Coxeter groups, pleating coordinates in Teichmüller space, and structures of quasi-Fuchsian groups. Education: PhD in Mathematics (Waseda University). Research: Focus on hyperbolic Coxeter groups' growth rates (proved they are Perron/2-Salem numbers), Teichmüller space compactifications, and degenerate families of Riemann surfaces. Publications: 12 papers on Scopus, including works in Proceedings of the Japan Academy and Conformal Geometry and Dynamics . Teaching: Courses in geometry, analysis, and seminars for graduate and undergraduate students. Presentations: Invited talks at international conferences like the Oberseminar Geometrie (Fribourg) and Mini-Workshop on Reflection Groups (Hausdorff Institute).

• Hyperbolic Geometry
• Coxeter Groups
• Teichmüller Theory
• +2 more

Hajime Kaneko is an Associate Professor at the Department of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba . His research focuses on Uniform Distribution Theory , Diophantine Approximation , and Transcendental Number Theory , with a particular emphasis on the behavior of number sequences in beta expansions and geometric progressions involving algebraic numbers. Key research topics include Markoff-Lagrange Spectrum , Sturmian Type Numbers , and Digit Exchange Properties in numerical systems. He has actively participated in and organized seminars such as DARF (Diophantine Analysis and Related Fields) and the 2024 Workshop on Number Theory and Ergodic Theory at Kanazawa University. His recent publications highlight collaborations with prominent mathematicians like Shigeki Akiyama , Thomas Stoll , and Wolfgang Steiner . Notably, his work on the Markoff-Lagrange Spectrum (2024) and binary digits of algebraic numbers (2023) has advanced the understanding of digit patterns and their connections to Diophantine equations. He also contributes to the study of rotational beta expansions and irrationality exponents through symbolic dynamics and Padé approximations.

• Uniform Distribution Theory
• Diophantine Approximation
• Transcendental Number Theory
• +4 more

Takeshi Saito is a Professor at the Department of Mathematical Sciences, University of Tokyo . His research focuses on arithmetic geometry , particularly in Galois representations and ramification theory . Member of the Mathematical Society of Japan Editorial board: Documenta DMV , Japanese Journal of Mathematics , and Journal of Algebraic Geometry His work includes foundational contributions to étale cohomology and l-adic representations of global/local fields. Key publications address conductor formulas (2004), ramification theory (2002, 2013), and characteristic cycles (2017). The Number Theory Seminar at the University of Tokyo (Wednesday 17:00-18:00) is among his organized activities. Major awards include the Algebra Prize (1998) and Spring Prize (2001) from the Mathematical Society of Japan. His research spans collaborations with institutions like IHES , the Morningside Center , and University of Tokyo .

• Arithmetic geometry
• Galois representations
• Ramification theory
• +2 more

Piotr Pstragowski serves as a Program-Specific Associate Professor (Hakubi) at Kyoto University's Research Institute for Mathematical Sciences (RIMS) since April 2024, following prior affiliation with Harvard University. His research centers on homotopy theory's profound connections to arithmetic and algebraic geometry, particularly through prismatic cohomology—a recently discovered invariant for mixed-characteristic varieties that revolutionized arithmetic geometry. By demonstrating how prismatic cohomology emerges from the even filtration in stable homotopy theory (as established by Hahn-Raksit-Wilson), his work bridges chromatic homotopy theory, motives theory, and ring spectra invariants, revealing how prime number properties manifest in spatial structures.

• Homotopy Theory
• Arithmetic Geometry
• Algebraic Geometry
• +3 more

Fukuhiro Ueda serves as a Lecturer at Kyoto University's Research Institute for Mathematical Sciences (RIMS), where he specializes in Arithmetic Geometry and Number Theory with concentrated expertise in p-adic Hodge theory, Galois representations, and K-theory. His research centers on fundamental comparisons between etale cohomology and crystalline cohomology, alongside arithmetic applications of motivic cohomology and K-theory; these investigations bridge deep theoretical frameworks in algebraic geometry and number theory, revealing structural connections between cohomological invariants of algebraic varieties. He actively participates in academic mentorship through supervision of graduate students and research students at RIMS, fostering emerging talent in mathematical sciences. As an integral member of RIMS—a premier international hub for mathematical research—Ueda collaborates within interdisciplinary teams advancing cutting-edge developments in arithmetic geometry and related fields.

• Arithmetic Geometry
• Number Theory
• p-adic Hodge Theory
• +5 more

Teruhisa Koshikawa serves as an Assistant Professor at Kyoto University's Research Institute for Mathematical Sciences (RIMS), focusing on fundamental intersections of algebraic geometry, number theory, and representation theory with significant implications for modern arithmetic geometry. His specialized research portfolio includes: Heights of pure motives Integral p-adic Hodge theory, particularly logarithmic prismatic cohomology K3 surfaces and their moduli spaces Shimura varieties and locally symmetric spaces The categorical local Langlands conjecture No scientific awards or honors were documented in the provided materials. Information regarding graduate student mentorship, research grants, or collaborative projects was not included in the available text.

• Algebraic Geometry
• Number Theory
• Representation Theory
• +5 more