ようこそ!!

英語バージョン / 日本語バージョン

E-mail :　

kfunano[[あっと]]tohoku.ac.jp, yahoonitaikou[[あっと]]gmail.com

所属 :

〒980-8579 仙台市青葉区荒巻字青葉 6-3-09

東北大学大学院情報科学研究科数学教室/純粋・応用数学研究センター link

簡単な経歴.

- 研究分野または興味を持っている分野

スペクトル幾何学、凸幾何学、測度の集中に関連した分野

- 集中講義

今井淳氏（千葉大学）2018年10月22日㈪～26日㈮

- 研究・勉強参考用

私の研究室に進学を考えている学生へ(2023/10/12 UPDATE)

4月27日(土)に東北大学情報科学研究科数学教室入試説明会・見学会が行われます。詳細はコチラをごらんください。

- 論文とプレプリント

1. (With L. Cavallina, A. Henrot, A. Lemenant, I. Lucardesi, and S. Sakaguchi) Two extremum problems for Neumann eigenvalues, preprint. link
2. A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space, Canad. Math. Bull. 67 (2024), no. 1, 222–226.
3. A note on domain monotonicity for the Neumann eigenvalues of the Laplacian, preprint, Illinois J. Math. 67 (2023), no. 4, 677–686.
4. (With Y. Sakurai) Upper bounds for higher order Poincaré constants, Trans. Amer. Math. Soc. 373 (2020), no. 6, 4415–4436.
5. (With Y. Sakurai) Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold, Proc. Amer. Math. Soc. 147 (2019), no. 7, 3155–3164. link
6. (With H. Alpert) Macroscopic scalar curvature and areas of cycles. Geom. Funct. Anal. 27 (2017), no. 4, 727–743. link
7. Applications of the `ham sandwich theorem' to eigenvalues of the Laplacian. Anal. Geom. Metr. Spaces 4 (2016), 317–325. link
8. Estimates of eigenvalues of the Laplacian by a reduced number of subsets. Israel J. Math. 217 (2017), no. 1, 413–433. link. Here is a related slide.
9. Eigenvalues of Laplacian and multi-way isoperimetric constants on weighted Riemannian manifolds, preprint. pdf (Revised at 21th June 2015. A new problem has been added) Here are related slides: slide 1, slide 2.
10. (With T. Shioya) Concentration, Ricci curvature, and eigenvalues of Laplacian. Geom. Funct. Anal. 23 (2013), no. 3, 888–936. link
11. Two infinite versions of the nonlinear Dvoretzky Theorem, Pacific J. Math. 259 (2012), no. 1, 101–108. link
12. Observable concentration of mm-spaces into Hadamard manifolds, preprint. pdf
13. Rate of convergence of stochastic processes with values in R-trees and Hadamard manifolds. Osaka J. Math. 47 (2010), no. 4, 911–920. link. Here is a related slide.
14. Concentration of maps and group actions. Geom. Dedicata 149 (2010), 103–119. link. Here is a related slide.
15. Exponential and Gaussian concentration of 1-Lipschitz maps. Manuscripta Math. 130 (2009), no. 3, 273--285. link
16. Central and $L_p$-concentration of 1-Lipschitz maps into $R$-trees. J. Math. Soc. Japan 61 (2009), no. 2, 483--506. link
17. Concentration of 1-Lipschitz maps into an infinite dimensional $\ell_p$-ball with the $\ell_q$-distance function. Proc. Amer. Math. Soc. 137 (2009), no. 7, 2407--2417. link
18. Estimates of Gromov's box distance. Proc. Amer. Math. Soc. 136 (2008), no. 8, 2911--2920. link
19. Observable concentration of mm-spaces into spaces with doubling measures. Geom. Dedicata 127 (2007), 49--56. link

- 雑誌記事やサーベイなど

1. Some universal inequalities of eigenvalues and upper bounds for the $L_{\infty}$ norm of eigenfunctions of the Laplacian (survey article)
2. 書評：粗幾何学入門（深谷友宏著）, 数理科学, サイエンス社, 2020年6月号, リンク
3. Upper bounds for higher-order Poincar.\'e constants, RIMS kokyuroku No. 2172 (survey article) Link
4. 幾何学におけるラムゼー型定理, 数理科学, サイエンス社, 2016年12月号, リンク.

　　MathScinetによる論文のリスト. Arxivでみられるプレプリントのリスト.

　　私のreseachmap.