E-mail address: genki.hosono [at] gmail.com

I am a postdoctral researcher in Mathematical Institute, Tohoku University.

Research interest

I am interested in several complex variables and complex geometry.In particular, I am interested in pluripotential theoretic properties of (quasi-)plurisubharmonic functions and singular Hermitian metrics.

I am also studying the Ohsawa-Takegoshi L^2 extension theorem.

Schedule

- From April 2019, I'm a post-doc at Tohoku University.

Papers, preprints

*Approximations and examples of singular Hermitian metrics on vector bundles*, Arkiv för Matematik, Vol. 55, No. 1 (2017), pp. 131–153. arXiv:1505.02396*Local geodesics between toric plurisubharmonic functions with infinite energy*, Annales Polonici Mathematici, Vol. 120, No. 1 (2017), pp. 33–40. arXiv:1606.05235*On minimal singular metrics of line bundles whose stable base loci admit holomorphic tubular neighborhoods*(with Takayuki Koike), to appear in Annales de la Faculté des Sciences de Toulouse. arXiv:1612.08212*The optimal jet L^2 extension of Ohsawa-Takegoshi type*, arXiv:1706.08725, to appear in Nagoya Mathematical Journal.*On sharper estimates of Ohsawa-Takegoshi L^2-extension theorem*, arXiv:1708.08269.*A suggestion of peripheral curves on hard contact lenses*(with Yukimi Goto, Tatsuya Miura and Hiroki Kodama, in Japanese), Suurikagaku Jissenkenkyu Letter 2018, LMSR 2018-1. Article link*Subharmonic variation of Azukawa pseudometrics for balanced domains*, arXiv:1811.07154.*A converse of Hörmander's L^2-estimate and new positivity notions for vector bundles*(with Takahiro Inayama), arXiv:1901.02223.

Talks

Conferences

*Approximations and examples of singular Hermitian metrics on vector bundles*, 2015 Seoul Workshop on Complex Geometry and Analysis, Seoul National University, Seoul, July 2015.*Approximations and examples of singular Hermitian metrics on vector bundles*, MSJ Autumn Meeting 2015, Kyoto Sangyo University, Kyoto, September 2015.*Converegnce along geodesics between toric plurisubharmonic functions*, MSJ Autumn Meeting 2016, Kansai University, Osaka, September 2016.*On convergence along geodesics between plurisubharmonic functions*, The 22nd Symposium on Complex Geometry, Shiinoki Cultural Complex, Kanazawa, November 2016.*On convergence along geodesics between plurisubharmonic functions*, Young Mathematicians Workshop on Several Complex Variables 2016 , The University of Tokyo, Tokyo, November 2016.*On geodesics between toric plurisubharmonic functions*, East Asian Core Doctoral Forum on Mathematics, Seoul National University, Seoul, January 2017.*On minimal singular metrics of line bundles whose stable base loci admits holomorphic tubular neighborhoods*, MSJ Spring Meeting 2017, Tokyo Metropolitan University, Hachioji, March 2017.*The optimal jet L^2 extension of Ohsawa-Takegoshi type*, The 23rd Symposium on Complex Geometry, Ishikawa Prefectural bunkyo hall, Kanazawa, November 2017.*On recent topics on L^2 extension theorems*, Topology of pseudoconvex domains and analysis of reproducing kernels, Kyoto University, Kyoto, November 2017.*On recent topics on L^2 extension theorems*, Winter seminar on several complex variables, Tokyo University of Science, Noda, December 2017.*On recent topics on L^2 extension theorems*, Positivity Concepts on Holomorphic Line Bundles and Theories on Canonical Kähler Metrics, Osaka City University, Osaka, January 2018.*On recent topics on L^2 extension theorems*, MSJ Spring Meeting 2018, University of Tokyo, Tokyo, March 2018.*Variational theories in complex analysis of several variables*, The 61st symposium on complex analysis, Hirosima University, Hirosima, November 2018.*Twisted Hörmander condition and plurisubharmonicity, and new positivity notions*, Workshop on Holomorphic Maps, Pluripotentials and Complex Geometry, Shizuoka Prefecture Gender Equality Center "Azalea", Sizuoka, March 2019.

Seminars

*On the convergence along geodesics between plurisubharmonic functions*, Seminar in Analytic Geometry, Nagoya University, Nagoya, October 2016*On the convergence along geodesics between plurisubharmonic functions*, Tohoku Complex Analysis Seminar, Tohoku University, Sendai, December 2016*On the proof of the optimal L2 extension theorem by Berndtsson-Lempert and related results*, Seminar on Geometric Complex Analysis, Tokyo, November 2017.*On the proof of the optimal L2 extension theorem by Berndtsson-Lempert and related results*, Seminar in Analytic Geometry, Nagoya, Febrary 2018.*On recent improvements on estimates of $L^2$ extension theorems*, Seminar on Complex Analysis, Osaka, Febrary 2018.*Variational theories in complex analysis of several variables*, Seminar on Geometric Complex Analysis, Tokyo, December 2018.*Variational theories in complex analysis of several variables*, Complex Analysis seminar, Osaka, December 2018.

Others

*On local geodesics between toric plurisubharmonic functions*(short communications), HAYAMA Symposium on Complex Analysis in Several Variables XVIII, Shonan Village Center, Hayama, July 2016.*The optimal jet L^2 extension of Ohsawa-Takegoshi type*(short communications), HAYAMA Symposium on Complex Analysis in Several Variables XIX, Shonan Village Center, Hayama, July 2017.*On sharper estimates of L^2 extension theorems*(short communications), HAYAMA Symposium on Complex Analysis in Several Variables XX, Shonan Village Center, Hayama, July 2018.

Curriculum Vitae

Education

Employment & Fellowships

Teaching

Teaching Assistants:Links

Eiji InoueMasataka Iwai

Takayuki Koike

Tatsuya Miura