数川大輔（かずかわだいすけ） Japanese page

I am an assistant professor in
Faculty of Mathematics, Kyushu University.

I'm interested in geometry and analysis on metric measure spaces, in particular, convergence theory.

Mail:

kazukawa [at] math.kyushu-u.ac.jp

- Convergence of cones of metric measure spaces and its application to Cauchy distribution, preprint. (with Syota Esaki, Ayato Mitsuishi)
- Principal bundle structure of the space of metric measure spaces, preprint. (with Hiroki Nakajima, Takashi Shioya)
- Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids, preprint. (with Takumi Yokota)
- Topological aspects of the space of metric measure spaces, Geom. Dedicata, Vol.218, No.3 (2024), Article 68. (with Hiroki Nakajima, Takashi Shioya)
- Invariants for Gromov's pyramids and their applications, Adv. Math, Vol.442, No.1 (2024), Article 109583. (with Syota Esaki, Ayato Mitsuishi)
- High-dimensional ellipsoids converge to Gaussian spaces, to appear in J. Math. Soc. Japan. (with Takashi Shioya)
- Convergence of energy functionals and stability of lower bounds of Ricci curvature via metric measure foliation, Comm. Anal. Geom., Vol.30, No.6 (2022), 1301-1354.
- Convergence of metric transformed spaces, Israel J. Math, Vol.252, No.1 (2022), 243-290.
- Concentration of product spaces, Anal. Geom. Metr. Spaces, Vol.9, No.1 (2021), 186-218.
- Boundedness of precompact sets of metric measure spaces, Geom. Dedicata, Vol.215, No.1 (2021), 229–242. (with Takumi Yokota)
- Stabilities of rough curvature dimension condition, J. Math. Soc. Japan, Vol.72, No.2 (2020), 541-567. (with Ryunosuke Ozawa and Norihiko Suzuki)

Doctoral Thesis:

Metric measure foliations, product spaces, and their convergence

- Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry and Probability 2023, Sonic City in Saitama, August 9, 2023.
- Convergence of metric transformed spaces, The 6th China-Japan Geometry Conference, Chongqing University of Technology/Osaka City University, December 26, 2021.
- Behavior of Ricci curvature and Laplacian via metric measure foliation, Exchange Program between Fudan University and Tohoku University, Fudan University, November 13, 2019.
- Concentration of l_p-product spaces, Geometry and Probability, Fukuoka University, February 1, 2019.
- A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry and Probability (Short Communication), Tohoku University, January 13, 2018.

- Principal bundle structure of the space of metric measure spaces, Topology and Geometry seminar, Hiroshima University, January 16, 2024.
- Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geodesics and Related Problems, Kumamoto University, January 4, 2024.
- Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry and Analysis at Fukuoka University, Fukuoka University, November 5, 2023.
- Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry seminar, Tohoku University, October 17, 2023.
- Convergence theory of metric measure spaces based on the concentration of measure phenomenon, MSJ Fall Meeting 2023, Tohoku University, September 23, 2023.
- Principal bundle structure of the space of metric measure spaces, The 70th Geometry Symposium, Hiroshima University, September 1, 2023.
- Convergence of high-dimensional radial-symmetric distributions on Euclidean spaces as metric measure spaces, Applied Analysis seminar, Kumamoto University, July 15, 2023.
- Principal bundle structure of the space of metric measure spaces, Geometry and Topology, Kyushu University, June 29, 2023.
- Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry seminar, Saitama University, May 25, 2023.
- Principal bundle structure of the space of metric measure spaces, MSJ Spring Meeting 2023, Chuo University, March 15, 2023.
- Topological aspects of the space of metric measure spaces, MSJ Spring Meeting 2023, Chuo University, March 15, 2023.
- Convergence theory of metric measure spaces based on the concentration of measure phenomenon, Session "Young Mathematicians' Challenge" 2023, AP Ichigaya, March 13, 2023.
- Principal bundle structure of the space of metric measure spaces, The 18th Algebra Analysis Geometry seminar, Kagoshima University (Online), February 21, 2023.
- Principal bundle structure of the space of metric measure spaces, Geodesics and Related Problems, Kumamoto University, January 4, 2023.
- Distinguishing certain infinite-dimensional spaces by invariants, Geometry seminar, Kyushu University, April 22, 2022.
- Boundedness of precompact sets of metric measure spaces, MSJ Spring Meeting 2022, Saitama University, March 28, 2022.
- Topological aspects of the sets of all metric measure spaces and of all pyramids, Geometry and Probability, Tohoku university, March 18, 2022.
- Topological aspects of the sets of all metric measure spaces and of all pyramids, Geometry colloquium in Hirado, Nakano town hall, February 22 & 25, 2022.
- Convergence of high-dimensional spheres, Geometry seminar, Fukuoka University, February 17, 2022.
- Continuity of the logarithmic Sobolev type best constant on convergence of spaces, Cross border seminar for young researchers of mathematical analysis, Online, November 27, 2021.
- Convergence of high-dimensional spheres and projective spaces, Geometry seminar, Kyushu University (Online), November 25, 2021.
- Convergence of high-dimensional ellipsoids, spheres, and projective spaces, The 68th Geometry Symposium, Hokkaido University (Online), August 31, 2021.
- Convergence of metric transformed spaces, MSJ Spring Meeting 2021, Keio University (Online), March 17, 2021.
- A limit of solid ellipsoids as the dimension diverges to infinity, Geometry seminar, Osaka University (Online), May 25, 2020.
- Concentration of product spaces and convergence of product pyramids, Geometry seminar, Tohoku university, November 26, 2019.
- Concentration of product spaces, Geometry conference in Aso, Kyukamura Minami-Aso, September 2, 2019.
- Concentration of product spaces, The 66th Geometry Symposium, Nagoya University, August 28, 2019.
- Convergence of eigenvalues and heat flows associated with convergence of Riemannian manifolds, OS extra seminar, Tohoku University, April 24, 2019.
- Concentration of l_p-product spaces, MSJ Spring Meeting 2019, Tokyo Institute of Technology, March 18, 2019.
- Concentration of l_p-product spaces, The 15th Mathematics Conference for Young Researchers, Hokkaido University, March 4, 2019.
- On concentration of metric measure spaces, Science and Life Science Joint Symposium 2019, Tohoku university, February 15, 2019.
- Concentration of l_p-product spaces, Geometry seminar, Tohoku university, October 16, 2018.
- Concentration of l_p-product spaces, Geometry conference in Aso, Kyukamura Minami-Aso, September 4, 2018.
- Variational convergence of Cheeger energies via metric measure foliations, The 65th Geometry Symposium, Tohoku University, August 29, 2018.
- A new condition for convergence of energies and stability of Ricci curvature bounds, MSJ Spring Meeting 2018, University of Tokyo, March 18, 2018.
- A new condition for convergence of energies and stability of Ricci curvature bounds, The 14th Mathematics Conference for Young Researchers, Hokkaido University, Hokkaido University, February 28, 2018.
- A new condition for convergence of energies and stability of Ricci curvature bounds, Riemannian Geometry and Geometric Analysis, Tsukuba University, February 22, 2018.
- A new condition for convergence of energies and stability of Ricci curvature bounds, The 1st Mathematical Science Freshman Seminar, Kyoto University, February 13, 2018.
- A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Tohoku University, December 19, 2017.
- A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Fukuoka University, December 7, 2017.
- A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Osaka University, November 13, 2017.
- Convergence of energy functionals and stability of Ricci curvature bounds associated with convergence of spaces, The 13th Mathematics Conference for Young Researchers, Hokkaido University, Hokkaido University, February 27, 2017.

- Frontiers of Riemannian Geometry ~Curvature, Convergence, Concentration~ In honor of the 60th birthday of Takashi Shioya, Tohoku University, November 30 - December 2, 2023.

March 2015 | Bachelor of Science (Mathematics), Tohoku University |

March 2017 | Master of Science (Mathematics), Tohoku University (Advisor：Prof. Takashi Shioya) |

March 2020 | Doctor of Science (Mathematics), Tohoku University (Advisor：Prof. Takashi Shioya) |

April 2017 - March 2020 | JSPS Research Fellow DC1, Japan Society for the Promotion of Science. |

April 2020 - March 2022 | JSPS Research Fellow PD (Host: Prof. Shin-ichi Ohta), Japan Society for the Promotion of Science. |

April 2022 - Current | Assistant professor, Kyushu University. |

April 2015 - September 2019 |
Teaching Assistants (Linear Algebra, Introduction to Mathematics, Differential Geometry, Topology, Measure Theory, Mathematical Stastics) |

August 2017 | Lecturer in Sendai Mathematics Seminar for High School Students |

April 2021 - September 2021 | Part-time Lecturer, Kansai University (Linear Algebra) |

October 2021 - March 2022 | Part-time Lecturer, Osaka University (Exercise Session of Geometry 1) |

The Mathematical Society of Japan |

September 2022 | The MSJ Takebe Katahiro Encouragement Prizes |

March 2020 | Tohoku University President’s Award |

March 2020 | Aoba Science Shinko-kai Prize |

March 2020 | Kawai Prize for Dr. thesis |

**Last-update: March 25, 2024**