E-mail address: genkih [at] ms.u-tokyo.ac.jp

I am a Ph.D. student of Graduate School of Mathematical Sciences, The University of Tokyo.

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

Talks

- November 7: The 23rd Symposium on Complex Geometry in Kanazawa
- November 20-22: Topology of pseudoconvex domains and analysis of reproducing kernels at RIMS, Kyoto University
- November 27: Seminar on Geometric Complex Analysis, University of Tokyo
- December 22-24: Winter Seminar on Several Complex Variables 2017, Tokyo University of Science

Papers, preprints

*Approximations and examples of singular Hermitian metrics on vector bundles*, arXiv:1505.02396, to appear in Arkiv för Matematik.*Local geodesics between toric plurisubharmonic functions with infinite energy*, arXiv:1606.05235, to appear in Annales Polonici Mathematici.*On minimal singular metrics of line bundles whose stable base loci admit holomorphic tubular neighborhoods*(with Takayuki Koike), arXiv:1612.08212.*The optimal jet L^2 extension of Ohsawa-Takegoshi type*, arXiv:1706.08725.*On sharper estimates of Ohsawa-Takegoshi L^2-extension theorem*, arXiv:1708.08269.

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.

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

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.

Curriculum Vitae

Education

Employment & Fellowships

Teaching

Teaching Assistants:Links

Takayuki KoikeTatsuya Miura