Research experience
Feb. 2023 - Present: JSPS Overseas Research Fellowships, University of Versailles Saint-Quentin, France
Feb. 2023 - Present: Visiting Researcher, Tohoku University, Japan
Apr. 2020 - Feb. 2023: JSPS Research Fellow (PD), Tohoku University, Japan
Oct. 2019 - Mar. 2020: JSPS Research Fellow (PD), Nagoya University, Japan
Nov. 2019 - Feb. 2020: Visiting Researcher, University of Paris 11, France (supported by JSPS Overseas Challenge Program for Young Researchers)
Apr. 2017 - Sep. 2019: JSPS Research Fellow (DC1), Nagoya University, Japan
Teaching experience
Oct. 2022 - Feb. 2023: Part-time Lecturer (Linear algebra), Yamagata University, Japan
Apr. 2022 - Sep. 2022: Part-time Lecturer (Mathematical statistics), Tohoku University, Japan
Oct. 2021 - Mar. 2022: Part-time Lecturer (Linear algebra), Yamagata University, Japan
Education
27 Sep. 2019: Doctor of Philosophy (Mathematical Science), Nagoya University, Japan
27 Mar. 2017: Master of Mathematical Science, Nagoya University, Japan
25 Mar. 2015: Bachelor of Science, Nagoya University, Japan
Grants
Apr. 2021 - Mar. 2026: Grant-in-Aid for Early-Career Scientists (21K13761)
Apr. 2020 - Mar. 2023: JSPS Research Fellowshps for Young Scientists (20J00410)
Nov. 2019 - Feb. 2020: JSPS Overseas Challenge Program for Young Researchers
Apr. 2017 - Mar. 2020: JSPS Research Fellowshps for Young Scientists (17J04270)
Awards
Mar. 2017: Mathematical Sciences Thesis Award, Nagoya University
Publications
Toshiya Yurikusa, Denominator vectors and dimension vectors from triangulated surfaces, J. algebra, Vol. 641 (2024) 620--647.
Peigen Cao, Yasuaki Gyoda and Toshiya Yurikusa, Bongartz completion via c-vectors, Int. Math. Res. Not. IMRN, Vol. 2023, 15 (2023) 13099--13135.
Toshitaka Aoki and Toshiya Yurikusa, Complete gentle and special biserial algebras are g-tame, J Algebr Comb 57 (2023) 1103--1137.
Pierre-Guy Plamondon and Toshiya Yurikusa, Tame algebras have dense g-vector fans, Int. Math. Res. Not. IMRN, Vol. 2023, 4 (2023) 2701--2747, with an appendix by Bernhard Keller.
Toshiya Yurikusa, Acyclic cluster algebras with dense g-vector fans, McKay Correspondence, Mutation and Related Topics, Vol. 88 (2023) 437--459.
Yasuaki Gyoda and Toshiya Yurikusa, F-matrices of cluster algebras from triangulated surfaces, Annals of Combinatorics, Vol. 24 (2020) 649--695.
Toshiya Yurikusa, Density of g-vector cones from triangulated surfaces, Int. Math. Res. Not. IMRN, Vol. 2020, 21 (2020) 8081--8119.
Toshiya Yurikusa, Combinatorial cluster expansion formulas from triangulated surfaces, Electron. J. Combin. Vol. 26, 2 (2019) P2.33.
Toshiya Yurikusa, Cluster expansion formulas in type A, Algebr. Represent. Theory, Vol. 22 (2019) 1--19.
Toshiya Yurikusa, Wide subcategories are semistable, Doc. Math. 23 (2018) 35--47.
Talks
Denominator and dimension vectors from intersection numbers, Tohoku Cluster Seminar, online, November 2023.
Algebras with dense g-vector fans, Silting in Representation Theory, Singularities, and Noncommutative Geometry (Gong show), Hotel Hacienda Los Laureles, Mexico, September 2023.
Denominator and dimension vectors from intersection numbers, Séminaire AG, UVSQ, France, May 2023.
Acyclic cluster algebras with dense g-vector fans, MSJ Autumn Meeting 2022, Hokkaido University, Japan, September 2022.
Bongartz completion via c-vectors, MSJ Spring Meeting 2022, online, March 2022.
Bongartz completion via c-vectors, Infinite Analysis 21 (IA21) Workshop Around Cluster Algebras, online, September 2021.
Cluster algebras with dense g-vector fans, MSJ Autumn Meeting 2021, online, September 2021.
Surface model of complete gentle algebras and g-vector fans, Topological Studies around Riemann Surfaces, online, August 2021.
Ingalls-Thomas対応の一般化とgベクトル扇, Tohoku University Geometry Seminar, online, March 2021.
Tame algebras have dense g-vector fans, MSJ Spring Meeting 2021, online, March 2021.
Tame algebras have dense g-vector fans, The 17th Mathematics Conference for Young Researchers, online, March 2021.
曲面団代数における分母ベクトルと次元ベクトル, Tohoku Branch of the Mathematical Society of Japan 2020, online, February 2021.
Dimension vectors and denominator vectors in cluster algebras from surfaces, Mathsci Freshman Seminar 2021, online, February 2021.
Denseness of g-vector fans for tame algebras, Kyoto Representation Theory Seminar, online, January 2021.
Complete special biserial algebras are g-tame, MSJ Autumn Meeting 2020, online, September 2020.
Cluster algebras with dense g-vector fans, Cluster algebras 2020, online, August 2020.
Tame algebras have dense g-vector fans, South Osaka Algebra Seminar, online, July 2020.
Denseness of g-vector cones from marked surfaces, S\'eminaire d'Alg\`ebre, Institut Henri Poincar\'e, Paris, France, December 2019.
Morita theorem, examples, Summer School on DG theory and Derived Categories, Nagoya University, Japan, September 2019.
Density of g-vector cones from triangulated surfaces, MSJ Autumn Meeting 2019, Kanazawa University, Japan, September 2019.
f-vectors of cluster algebras from triangulated surfaces, COmbinatorics Summer school 2019 (COS 2019), Kaikyo View Shimonoseki, Japan, September 2019.
Density of g-vector cones from triangulated surfaces, The Eighth China - Japan - Korea International Symposium on Ring Theory, Nagoya University, Japan, August 2019.
Ingalls-Thomas bijections, Algebraic Lie Theory and Representation Theory 2019 (ALTReT 2019), Yamaki Ryokan, Japan, May 2019.
Wide subcategories are semistable, MSJ Spring Meeting 2019, Tokyo Institute of Technology, Japan, March 2019.
Density of g-vector cones from triangulated surfaces, The 24th Conference on Algebra for Young Researchers, Tokyo University, Japan, February 2019.
Combinatorial cluster expansion formulas from triangulated surfaces, MSJ Autumn Meeting 2018, Okayama University, Japan, September 2018.
A generalization of Ingalls-Thomas bijections, The 27th Yamatokoriyama Seminar, National Institute of Technology, Japan, September 2018.
Combinatorial cluster expansion formulas from triangulated surfaces, 18th International Conference on Representations of Algebras (ICRA 2018), Czech technical university in Prague, Czech, August 2018.
Combinatorial cluster expansion formulas from triangulated surfaces, Algebraic Lie Theory and Representation Theory 2018 (ALTReT 2018), Sophia University Karuizawa Seminar House, Japan, May 2018.
Wide/Semistable subcategories and wall-chamber structure, The 23rd Conference on Algebra for Young Researchers, Osaka University, Japan, March 2018.
団代数と角の完全マッチング, Osaka Combinatorics Seminar, Osaka City University, Japan, November 2017.
Wide subcategories are semistable, The 50th Symposium on Ring Theory and Representation Theory, Yamanashi University, Japan, October 2017.
Wide subcategories are semistable, South Osaka Algebra Seminar, Osaka Prefecture University, Japan, September 2017.
Cluster expansion formulas from triangulated surfaces, COmbinatorics Summer school 2017 (COS 2017), Ryokan Irifuneso, Japan, September 2017.
Quivers with potential from surface triangulations, BIREP Summer School on Gentle Algebras, Bad Driburg, Germany, August 2017.
Poster presentation
Dense g-vector fans for tame algebras, McKay correspondence, Mutation and related topics, online, July 2020.
Density of g-vector cones from triangulated surfaces, Cluster Algebras 2019 (CA19), Research Institute for Mathematical Sciences (RIMS), Japan, June 2019.
Wide subcategories are semistable, The 50th Symposium on Ring Theory and Representation Theory, Yamanashi University, Japan, October 2017.
Organizations
Tohoku Cluster Seminar, Tohoku University, April-Present 2023.
Preprojective algebras and Calabi-Yau algebras, Online, March 2022.
The 25th Conference on Algebra for Young Researchers, Report only, March 2020.
Ring Theory and Representation Theory Seminar in 2019, Nagoya University, February-December 2019.