Papers (refereed)
Explicit quasiconformal extensions and Löwner chains, Proc. Japan Acad. Ser. A Math. Sci. 85 (2009), no. 8, 108--111. [fulltext]
Ruscheweyh's univalence criterion and quasiconformal extensions, Kodai Math. J. 33 (2010), no. 3, 446--456. [fulltext]
On strongly starlike and convex functions of orderα and type β (with Mamoru Nunokawa), Mathematica 53(76) (2011), no. 1, 51--56. [fulltext, arXiv]
Boundedness, univalence and quasiconformal extension of Robertson functions (with Li-Mei Wang), Indian J. Pure Appl. Math., 42(4) (2011), 239--248. [fulltext, arXiv]
Löwner chains with complex leading coefficient, Monatsh. Math. 163 (2011), no. 3, 315--325. [fulltext]
Ahlfors's quasiconformal extension condition and Φ-likeness, Publ. Math. Debrecen 82 (2013), no. 2, 473--483. [fulltext]
Locally one-to-one harmonic functions with starlike analytic part (with Andrzej Michalski), Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform., vol. 64, no. 2 (2014), 19--27. [fulltext]
Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions (with Li-Mei Wang), Rocky Mountain J. Math. 47 (2017), no. 1, 185–204. [fulltext]
Chordal Loewner chains with quasiconformal extensions (with Pavel Gumenyuk), Math. Z. 285 (2017), no. 3-4, 1063–1089. [fulltext, arXiv]
Some remarks on Schur's theorem for bounded analytic functions (with Andrzej Michalski), Bull. Soc. Sci. Lett. Łódź Sér. Rech. Déform, vol. 67, no. 2 (2018), 93-99. [fulltext]
Tightness results for infinite-slit limits of the chordal Loewner equation (with Andrea Del Monaco and Sebastian Schleißinger), Comput. Methods Funct. Theory 18 (2018), no. 1, 9–33. [fulltext, arXiv]
On a numerical algorithm for the solution of the radial Loewner equation (with Hirokazu Shimauchi), Math. Methods Appl. Sci. 41 (2018), no. 2, 714–723. [fulltext]
Hydrodynamic Limit of Multiple SLE (with Makoto Katori), J. Stat. Phys. 171 (2018), no. 1, 166–188. [fulltext, arXiv]
Loewner theory for quasiconformal extensions: old and new, Interdiscip. Inform. Sci. 25 (2019), no. 1, 1--21. [fulltext]
Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient (with Pavel Gumenyuk), Proc. Amer. Math. Soc. 148 (2020), 3927-3942. [fulltext, arXiv]
Limits of radial multiple SLE and a Burgers-Loewner differential equation (with Sebastian Schleißinger), J. Theoret. Probab. 34 (2021), 755–783. [fulltext, arXiv]
Loewner chains with quasiconformal extensions: an approximation approach, J. Anal. Math. 143 (2021), 123–149. [fulltext, arXiv]
Additive processes on the unit circle and Loewner chains (with Takahiro Hasebe), Int. Math. Res. Not. IMRN (2022), no. 22, 17797–17848. [fulltext, arXiv]
On freely quasi-infinitely divisible distributions (with Wojciech Młotkowski, Noriyoshi Sakuma and Yuki Ueda), ALEA Lat. Am. J. Probab. Math. Stat., 20 (2023), no. 2, 941–971. [fulltext, arXiv]
Continuous evolution families (with Shota Hoshinaga and Hiroshi Yanagihara), Proc. Amer. Math. Soc. 151 (2023), no. 12, 5251–5263. [fulltext, arXiv]
Problems related to conformal slit-mappings (with Sebastian Schleißinger), Complex Var. Elliptic Equ. 69 (2024), no. 2, 215–233. [fulltext, arXiv]
Nonlinear resolvents and decreasing Loewner chains (with Sebastian Schleißinger and Toshiyuki Sugawa), J. Geom. Anal. 34 (2024), no. 4, Paper No. 99, 28 pp. [fulltext, arXiv]
Preprints
Notes on locally uniform weak convergence with application to additive processes (with Takahiro Hasebe and Takuya Murayama). [arXiv]
Additive processes on the real line and Loewner chains (with Takahiro Hasebe and Takuya Murayama). [arXiv]
Papers (unrefereed)
Quasiconformal extensions of univalent functions and Becker's theorem, RIMS Kokyuroku 1626 (2009), 7--14.
On spirallike functions and Robertson functions, RIMS Kokyuroku 1727 (2011), 10--15.
Translations
On a theorem concerning to univalent functions linearly accessible by M. Bienacki, English Translation of "Sur un théorème concernant les fonctions univalentes linéairement accessibles de M. Bienacki" by A. Bielecki and Z. Lewandowski. [fulltext]
Others
Loewner理論(2014年に開催されたLoewner方程式の研究集会に合わせて執筆)[fulltext]
書評「楠幸男・須川敏幸 : 複素解析学特論, 現代数学社, 2019年,ⅴ+211ページ」[fulltext]
主催した研究集会
International Workshop on International Workshop on Conformal Dynamics and Loewner Theory 2014(2014年11月22日--24日)@東京工業大学
International Workshop on International Workshop on Conformal Dynamics and Loewner Theory 2018(2018年9月5日--7日)@東北大学
International Workshop on International Workshop on Conformal Dynamics and Loewner Theory 2025(2025年1月20日--22日)@九州大学
競争的資金(代表)
2013 - 2014 学振PD (13J02250)
2014 - 2016 若手研究B (26800053)
2017 - 2019 若手研究B (17K14205)
2020 - 2024 基盤研究C (20K03632)
2025 - 2028 基盤研究C (25K07049)
競争的資金(分担)
2016 - 2018 基盤研究C (16K05206, PI : 柳原 宏)
2017 - 2020 基盤研究A (17H01092, PI : 相川 弘明)
2023 - 2027 基盤研究B (23K25775, PI : 松崎 克彦)