Talks and Presentations

Upcoming

July 24, 2026
“一般化マルコフ数とマルコフ–ラグランジュスペクトラム” (Japanese)
Ehime University Algebra Seminar
Ehime University, Japan

2026

July 18, 2026
“Generalized discrete Lagrange–Markov spectra”
The 24th Annual Workshop on Combinatorial and Additive Number Theory (CANT 2026)
Online

July 14, 2026
“数学研究を通じた探究の方法論” (Japanese; public lecture)
SSH Lecture for First-Year Students
Tokyo Metropolitan Toyama High School, Japan

June 6, 2026
“一般化マルコフ数とディオファントススペクトルの対応” (Japanese)
Meigaku Seminar
Nihon University, Japan

February 19, 2026
“一般化マルコフ数に付随するラグランジュ値” (Japanese)
Young Researcher Meeting in Arithmetic and Dynamics
Kyushu University, Japan

February 5, 2026
“Generalized discrete Markov spectra”
MS Seminar
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), The University of Tokyo, Japan

January 29, 2026
“マルコフ数の団代数理論に沿った一般化” (Japanese)
University of Toyama Mathematics Colloquium
University of Toyama, Japan

2025

December 16, 2025
“マルコフ数がつなぐ数学” (Japanese; public lecture)
Nagoya University Academic Flash
Online

September 22, 2025
“マルコフ数とその行列化の団代数的解釈” (Japanese)
Topology of Riemann Surfaces
The University of Tokyo, Japan

September 7, 2025
“Markov numbers and their cluster formulation”
Workshop on Cluster Theory
University of Science and Technology of China, China

August 5, 2025
“クラスター代数入門 (4)” (Japanese)
Introduction Seminar, Graduate School of Mathematics
Nagoya University, Japan

July 28, 2025
“クラスター代数入門 (3)” (Japanese)
Introduction Seminar, Graduate School of Mathematics
Nagoya University, Japan

July 21, 2025
“クラスター代数入門 (2)” (Japanese)
Introduction Seminar, Graduate School of Mathematics
Nagoya University, Japan

July 14, 2025
“クラスター代数入門 (1)” (Japanese)
Introduction Seminar, Graduate School of Mathematics
Nagoya University, Japan

June 5, 2025
“\(k\)-generalized Markov number and snake graph”
MS Seminar
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), The University of Tokyo, Japan

June 2, 2025
“Markov Numbers and Their Cluster Matrix Formulation”
Workshop on Number Theory and Integrable Systems
Kobe University, Japan

May 23, 2025
“一般化マルコフ数の団構造とその団行列化” (Japanese)
Osaka Combinatorics Seminar
Osaka University, Japan

January 30, 2025
“マルコフ数の一般化とその\(2\times2\)行列化” (Japanese)
University of Tsukuba Open Seminar
University of Tsukuba, Japan

2024

November 15, 2024
“一般化マルコフ数とその\(\mathrm{SL}(2,\mathbb{Z})\)行列化” (Japanese)
Number Theory Joint Seminar
Kyoto University, Japan

October 23, 2024
“一般化マルコフ数とその\(\mathrm{SL}(2,\mathbb{Z})\)行列化” (Japanese)
Tokyo–Nagoya Algebra Seminar
Online

October 21, 2024
“一般化マルコフ数とその\(\mathrm{SL}(2,\mathbb{Z})\)行列化” (Japanese)
Saga–Gakushuin Topology Seminar
Gakushuin University, Japan

September 6, 2024
“一般化マルコフ数の\(\mathrm{SL}(2,\mathbb{Z})\)行列化” (Japanese)
MSJ Autumn Meeting 2024
Osaka University, Japan

August 28, 2024
“一般化マルコフ数について” (Japanese)
The 69th Symposium on Algebra
University of Tsukuba, Japan

August 23, 2024
“一般化マルコフ数の\(2\times2\)行列化” (Japanese)
Fukuoka Number Theory Workshop
Kyushu University, Japan

June 18, 2024
“一般化マルコフ数の\(\mathrm{SL}(2,\mathbb{Z})\)行列化” (Japanese)
Symmetry and Geometry Seminar
Waseda University, Japan

March 18, 2024
“一般化マルコフ方程式の一意性予想とその部分的解決” (Japanese)
MSJ Spring Meeting 2024
Joint work with Shuhei Maruyama
Osaka Metropolitan University, Japan

March 13, 2024
“Generalized Markov number and generalized cluster algebra”
Advances in Cluster Algebras 2024
Nagoya University, Japan

February 28, 2024
“マルコフ数の一意性予想の一般化とその部分的解決” (Japanese)
The 28th Conference on Algebra for Young Researchers in Japan
Waseda University, Japan

February 6, 2024
“Generalized Markov number and generalized cluster algebra”
Cluster Algebra Seminar
Nagoya University, Japan

2023

November 28, 2023
“一般化団代数と一般化マルコフ方程式” (Japanese)
Shinshu Algebra Seminar
Shinshu University, Japan

November 11, 2023
“Exchange quivers and exchange quivers” (Japanese)
Yamaguchi Algebra Seminar
Yamaguchi University, Japan

October 16, 2023
“Exchange quivers of cluster algebras and exchange quivers of root systems”
Tohoku Cluster Seminar
Tohoku University, Japan

September 22, 2023
“GLS道代数の台\(\tau\)傾加群と有限型ルート系の\(c\)-クラスターの全単射対応” (Japanese)
MSJ Autumn Meeting 2023
Tohoku University, Japan

September 4, 2023
“The Exchange Quiver of Cluster Algebras and the Exchange Quiver of Root Systems”
Seminar at the Tianyuan Mathematical Center in Southwest China
Sichuan University, China

August 18, 2023
“Torsion lattice of GLS path algebra and Cambrian lattice”
The 9th China–Japan–Korea International Conference on Ring and Module Theory
Incheon National University, Korea

May 12, 2023
“Torsion lattice of GLS path algebra and Cambrian lattice”
Algebraic Lie Theory and Representation Theory 2023
Tokyo Institute of Technology, Japan

March 28, 2023
“有限型団代数とDynkinルート系の関係性について” (Japanese)
The 27th Conference on Algebra for Young Researchers in Japan
University of Tsukuba, Japan

February 24, 2023
“有限型団代数とDynkinルート系の関係性について” (Japanese)
Topics on Geometry and Representation Theory
Aoyama Gakuin University, Japan

February 10, 2023
“Oriented graphs of root systems, path algebras and cluster algebras”
Tokyo Tech Representation Theory Seminar
Tokyo Institute of Technology, Japan

2022

September 16, 2022
“\((x+y)^2+(y+z)^2+(z+x)^2=12xyz\)の正整数解と一般化マルコフ団代数” (Japanese)
MSJ Autumn Meeting 2022
Hokkaido University, Japan

June 17, 2022
“団代数と団複体 (Cluster algebra and cluster complex)” (Japanese)
The 33rd Commutative Ring Theory Seminar
Online

March 28, 2022
“Bongartz completion via \(c\)-vectors” (Japanese)
Joint work with Toshiya Yurikusa
MSJ Spring Meeting 2022
Saitama University, Japan

March 28, 2022
“Generalization of Gabriel’s theorem and its cluster algebraic approach” (Japanese)
MSJ Spring Meeting 2022
Saitama University, Japan

February 9, 2022
“\((x+y)^2+(y+z)^2+(z+x)^2=12xyz\)の正整数解と団代数” (Japanese)
Mathsci Freshman Seminar 2022
Online, Kyushu University, Japan

2021

November 25, 2021
“A generalization of Gabriel’s theorem in \(\tau\)-tilting theory and its cluster algebraic approach” (Japanese)
Suita Representation Seminar
Online

November 5, 2021
“\((x+y)^2+(y+z)^2+(z+x)^2=12xyz\)の正整数解とクラスター代数の変異構造 (Positive integer solutions to \((x+y)^2+(y+z)^2+(z+x)^2=12xyz\) and mutation structure of cluster algebra)” (Japanese)
Friday Tea Time Zoom Seminar
Online

October 21, 2021
“A generalization of Gabriel’s theorem in \(\tau\)-tilting theory and its cluster algebraic approach” (Japanese)
RIMS Workshop “Combinatorial Representation Theory and Connections with Related Fields”
Online

September 28, 2021
“Compatibility degree of cluster complexes”
Infinite Analysis 21 Workshop: Around Cluster Algebras (IA21)
Online

September 6, 2021
“Positive cluster complexes and \(\tau\)-tilting simplicial complexes” (Japanese)
The 53rd Symposium on Ring Theory and Representation Theory
Online

June 25, 2021
“正団複体と\(\tau\)傾単体複体 (Positive cluster complex and \(\tau\)-tilting simplicial complex)” (Japanese)
ALTReT (Algebraic Lie Theory and Representation Theory)
Online

March 2, 2021
“Duality between Calkin–Wilf tree and Stern–Brocot tree” (Japanese)
The 17th Mathematics Conference for Young Researchers
Online

February 11, 2021
“Duality between Calkin–Wilf tree and Stern–Brocot tree” (Japanese)
Mathsci Freshman Seminar 2021
Online

2020

October 27, 2020
“Positive cluster complex and \(\tau\)-tilting complex” (Japanese)
Tokyo–Nagoya Algebra Seminar
Online

September 22, 2020
“Compatibility degree of cluster complexes” (Japanese)
MSJ Autumn Meeting 2020
Online (hosted by Kumamoto University, Japan)

August 14, 2020
“Compatibility degree of cluster complexes” (poster)
The McKay Correspondence, Mutation and Related Topics
Online

March 19, 2020
“Relation between \(f\)-vectors and \(d\)-vectors in cluster algebras of finite type or rank 2” (Japanese)
MSJ Spring Meeting 2020
Nihon University, Japan (canceled)

March 11, 2020
“Compatibility degree of cluster complexes” (Japanese)
The 25th Conference on Algebra for Young Researchers in Japan
Nagoya University, Japan (canceled)

March 6, 2020
“Compatibility degree of cluster complexes”
Infinite Analysis 20 (IA20) Workshop: Cluster Algebras, Representation Theory, and Geometry
Osaka City University, Japan (canceled)

February 8, 2020
“Compatibility degree of cluster complexes” (Japanese)
Mathsci Freshman Seminar 2020
Nagoya University, Japan

2019

September 18, 2019
“Uniqueness of clusters by \(F\)-matrices in cluster algebras of triangulated surface type” (Japanese)
Joint work with Toshiya Yurikusa
MSJ Autumn Meeting 2019
Kanazawa University, Japan

September 12, 2019
“\(F\)-matrices in cluster algebras”
MS Seminar
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), The University of Tokyo, Japan

June 11, 2019
“Duality for \(F\)-matrices” (poster)
Joint work with Shogo Fujiwara
Cluster Algebras 2019 (CA19)
Research Institute for Mathematical Sciences, Kyoto University, Japan

May 31, 2019
“\(F\)-matrices in cluster algebras” (Japanese)
Ring Theory and Representation Theory Seminar
Nagoya University, Japan

May 25, 2019
“ある方程式の整数解における100年予想とそのアプローチ” (Japanese; survey and public lecture)
数理ウェーブ
Nagoya University, Japan

March 19, 2019
“Duality between mutations and rear mutations in cluster algebras” (Japanese)
Joint work with Shogo Fujiwara
MSJ Spring Meeting 2019
Tokyo Institute of Technology, Japan

March 4, 2019
“団代数における\(F\)多項式の行列化” (Japanese)
The 15th Mathematics Conference for Young Researchers
Hokkaido University, Japan

February 21, 2019
“団代数における\(F\)行列の一意性” (Japanese)
The 24th Conference on Algebra for Young Researchers in Japan
The University of Tokyo, Japan

February 14, 2019
“Uniqueness of \(F\)-matrices in cluster algebras” (Japanese)
Mathsci Freshman Seminar 2019
Kyoto University, Japan

2018

November 14, 2018
“Duality between mutations and rear mutations in cluster algebras”
Workshop on McKay Correspondence and Noncommutative Algebra
Nagoya University, Japan