Updated on 2022/07/13
Graduate School of Science Department of Mathematics
Professor 2022.04 - Now
School of Science Department of Mathematics
Professor 2022.04 - Now
博士(理学) （ Tokyo Institute of Technology ）
Natural Science / Mathematical analysis
Natural Science / Basic analysis
variational methods
elliptic partial differential equations
I am mainly studying analysis. Especially, I am interested in partial differential equations with variational structures those appear in mathematical physics or differential geometry.
Blow up analysis for variational problems of critical type and the qualitative properties of solutions caused by blowing-up phenomena
variational problem, blow up analysis, qualitative property Individual
2008.04
Mathematical Society of Japan
Domestic
Councilor(Hanshin Division) Mathematical Society of Japan
2010
Delegate(Hanshin Division) Mathematical Society of Japan
2009
The 20th Analysis Prize (Mathematical Society of Japan)
2021.09
大阪市立大学教育後援会「優秀教育賞」
2017.11
Mathematical Society of Japan, 3rd Fukuhara Prize
Futoshi Takahashi
2011.12 Mathematical Society of Japan,Division of Functional Equations Study of non-degenerate critical points related to nonlinear elliptic equations
キヤノン株式会社 -
1987 - 1990
Tokyo Institute of Technology Mathematics Accomplished credits for doctoral program
- 2002
The University of Tokyo Department of Basic science Graduated/Completed
- 1987
Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields Reviewed
Naoki Hamamoto, Futoshi Takahashi
Mathematische Annalen 379 ( 1 ) 719 - 742 2021.02
Sharp Hardy-Leray inequality for curl-free fields with a remainder term Reviewed
Naoki Hamamoto, Futoshi Takahashi
Journal of Functional Analysis 280 ( 108790 ) 1 - 24 2021.01
Finsler Hardy inequalities Reviewed International coauthorship
A. Mercaldo, M. Sano, F. Takahashi
Mathematische Nachrichten 293 ( 12 ) 2370 - 2398 2020.12
A characterization of differentiability for the best trace Sobolev constant function Reviewed
Kazuya Akayama, and Futoshi Takahashi
RIMS Kokyuroku Bessatsu B82 87 - 101 2020.09
Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl Reviewed
Naoki Hamamoto, and Futoshi Takahashi
Communications of Pure and Applied Analysis 19 ( 6 ) 3209 - 3222 2020.06
Hardy's inequality in a limiting case on general bounded domains Reviewed International coauthorship
Jaeyoung Byeon, Futoshi Takahashi
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 21 ( 8 ) 2019.12（ ISSN:0219-1997 ）
Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Reviewed
Futoshi Takahashi
Advances in Nonlinear Analysis 8 868 - 884 2019
Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation Reviewed
Megumi Sano, Futoshi Takahashi
Applicable Analysis 98 ( 10 ) 1875 - 1888 2019
Finsler Hardy-Kato's inequality Reviewed International coauthorship
A. Alvino, A. Ferone, A. Mercaldo, F. Takahashi, R. Volpicelli
Journal of Mathematical Analysis and Applications 470 ( 1 ) 360 - 374 2019
On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem Reviewed International coauthorship
Van Hoang Nguyen, Futoshi Takahashi
Differential and Integral Equations 31 ( 11-12 ) 785 - 806 2018
Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities Reviewed
Megumi Sano, and Futoshi Takahashi
Differential and Integral Equations 31 ( 1-2 ) 57 - 74 2018
Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements Reviewed
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56 ( 3 ) 1 - 14 2017.06（ ISSN:0944-2669 ）
Topics of Stable Solutions to Elliptic Equations Invited Reviewed
Futoshi Takahashi
Sugaku 69 ( 1 ) 31 - 55 2017.01
Improved Rellich type inequalities in $\mathbb{R}^N$ Reviewed
Megumi Sano, and Futoshi Takahashi
Springer Proceedings in Math. and Statics 176 241 - 255 2016
Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality Reviewed
Megumi Sano, and Futoshi Takahashi
Electronic Journal of Differential Equations 2016 ( 212 ) 1 - 12 2016
Lyapunov inequality for an elliptic problem with the Robin boundary condition Reviewed
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 129 189 - 197 2015.12（ ISSN:0362-546X ）
Extremal solutions to Liouville-Gelfand type elliptic problems with nonlinear Neumann boundary conditions Reviewed
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 17 ( 3 ) 1 - 27 2015.06（ ISSN:0219-1997 ）
Blow up points and the Morse indices of solutions to the Liouville equation: inhomogeneous case Reviewed
NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS 64 175 - 182 2015
Singular extremal solutions to a Liouville-Gelfand type problem with exponential nonlinearity Reviewed
Futoshi Takahashi
10th AIMS proceedings, Dynamical Systems, Differential Equations and Applications 2015 2015 1025 - 1033 2015
Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four Reviewed
Hiroshi Ohtsuka, and Futoshi Takahashi
Differential and Integral Equations 28 ( 7-8 ) 801 - 822 2015
A simple proof of Hardy's inequality in a limiting case Reviewed
Archiv der Math. 104 ( 1 ) 77 - 82 2015
NONEXISTENCE OF POSITIVE VERY WEAK SOLUTIONS TO AN ELLIPTIC PROBLEM WITH BOUNDARY REACTIONS Reviewed
KODAI MATHEMATICAL JOURNAL 37 ( 3 ) 755 - 768 2014（ ISSN:0386-5991 ）
Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent Reviewed
Journal of Mathematical Analysis and Applications 411 ( 1 ) 95 - 106 2014
On the location of two blow up points on an annulus for the mean field equation Reviewed International coauthorship
Comptes Rendus Acad. Sci. Paris Ser. I 352 ( 7-8 ) 615 - 619 2014
Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions Reviewed
Mathematica Bohemica 139 ( 2 ) 137 - 144 2014
Some identities of Green's function for the polyharmonic operator with the Navier boundary conditions and its applications Reviewed
MATHEMATISCHE NACHRICHTEN 286 ( 2-3 ) 306 - 319 2013.02（ ISSN:0025-584X ）
Morse indices and the number of blow up points of blowing-up solutions for a Liouville equation with singular data Reviewed
Discrete and Continuous Dynamical Systems, Supplement 2013 729 - 736 2013
On the number of maximum points of least energy solutions to a two-dimensional H'enon equation Reviewed
Communications on Pure and Applied Analysis 12 ( 3 ) 1237 - 1241 2013
Nonexistence of multi-bubble solutions for a higher order mean field equation on convex domains Invited Reviewed
Springer INdAM series,``Geometric Properties of Parabolic and Elliptic PDE's" 2 283 - 293 2013
Blow up Points and the Morse Indices of Solutions to the Liouville Equation in Two-Dimension Reviewed
ADVANCED NONLINEAR STUDIES 12 ( 1 ) 115 - 122 2012.02（ ISSN:1536-1365 ）
A regularity criterion to the biharmonic map heat flow in $mathbb{R}^4$ Reviewed International coauthorship
Mathematische Nachrichten 285 ( 16 ) 1963 - 1968 2012
AN EIGENVALUE PROBLEM RELATED TO BLOWING-UP SOLUTIONS FOR A SEMILINEAR ELLIPTIC EQUATION WITH THE CRITICAL SOBOLEV EXPONENT Reviewed
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 4 ( 4 ) 907 - 922 2011.08（ ISSN:1937-1632 ）
A Payne-Rayner Type Inequality for the Robin Problem on Arbitrary Minimal Surfaces in R-N Reviewed
RESULTS IN MATHEMATICS 59 ( 1-2 ) 107 - 114 2011.02（ ISSN:1422-6383 ）
Vanishing $p$-capacity of the singular sets for $p$-harmonic functions Reviewed
Electronic Journal of Differential Equations 2011 ( 67 ) 1 - 15 2011
Non-degeneracy of least-energy solutions for an elliptic problem with nearly critical nonlinearity Reviewed
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 140 ( 1 ) 203 - 222 2010（ ISSN:0308-2105 ）
Spectral estimates of least energy solutions to the Brezis-Nirenberg problem with a variable coefficient Reviewed
Journal of Differential Equations 248 ( 10 ) 2497 - 2527 2010
An eigenvalue problem related to the critical Sobolev exponent: variable coefficient case Reviewed
Differential and Integral Equations 23 ( 42988 ) 827 - 860 2010
EXISTENCE OF MULTIPLE SOLUTIONS FOR A NONLINEARLY PERTURBED ELLIPTIC PARABOLIC SYSTEM IN R-2 Reviewed
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 2009 ( 32 ) 1 - 10 2009.02（ ISSN:1072-6691 ）
FUNKCIALAJ EKVACIOJ 52 ( 2 ) 213 - 232 2009（ ISSN:0532-8721 ）
Morse indices and the number of maximum points of solutions to a two-dimensional elliptic problems Reviewed
Archiv der Mathematik (Basel) 93 ( 2 ) 191 - 197 2009
Global existence of solutions for a nonlinearly perturbed Keller-Segel system in $mathbb{R}^2$ Reviewed
Zeischrift f"ur angewandte Mathematik und Physik (ZAMP) 60 ( 5 ) 840 - 867 2009
A nondegeneracy result for least energy soultions to a biharmonic problem with nearly critical exponent Reviewed
RIMS Kokyuroku Bessatsu 15 73 - 85 2009
Asymptotic Nondegeneracy of Least Energy Solutions to an Elliptic Problem with Critical Sobolev Exponent Reviewed
Futoshi Takahashi
ADVANCED NONLINEAR STUDIES 8 ( 4 ) 783 - 797 2008.11（ ISSN:1536-1365 ）
Capacity estimate for the blow-up set of parabolic equations Reviewed
Mathematische Zeitschrift 259 ( 4 ) 867 - 878 2008
Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains Reviewed
Communications on Applied Nonlinear Analysis 15 ( 3 ) 1 - 18 2008
Asymptotic nondegeneracy of least energy solutions to an elliptic problem with the critical Sobolev exponent Reviewed
Advanced Nonlinear Studies 8 ( 4 ) 783 - 797 2008
Asymptotic behavior of least energy solutions for a biharmonic problem with nearly critical growth Reviewed
Asymptotic Analysis 60 ( 42798 ) 213 - 226 2008
Nonlinear eigenvalue problem with quantization Invited Reviewed
Handbook of Differential Equations, Vol.5 Stationary Partial Differential Equations 277 - 370 2008（ ISBN:9780444532176 ）
An asymptotic nondegeneracy result for a biharmonic equation with the nearly critical growth Reviewed
Nonlinear Differential Equations and Applications (NoDEA) 15 ( 42830 ) 623 - 637 2008
On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality Reviewed
Takahashi Futoshi
APPLIED MATHEMATICS LETTERS 20 ( 12 ) 1216 - 1217 2007.12（ ISSN:0893-9659 ）
Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem Reviewed
Takahashi Futoshi
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 29 ( 4 ) 509 - 520 2007.08（ ISSN:0944-2669 ）
On the Lagrange multiplier of a minimization problem related to the isoperimetric inequality Reviewed
Applied Mathematics Letters 20 ( 12 ) 1216 - 1217 2007
On the shape of level sets of least energy solutions to some elliptic problems with nearly critical growth Reviewed
APPLICABLE ANALYSIS 86 ( 7 ) 851 - 859 2007（ ISSN:0003-6811 ）
Mean field equation for equilibrium vortices with neutral orientation Reviewed
Nonlinear Analysis: Theory, Methods Applications 66 ( 2 ) 509 - 526 2007
Single-point condensation phenomena for a four-dimensional biharmonic Ren-Wei problem Reviewed
Calculus of Variations and Partial Differential Equations 29 ( 4 ) 509 - 520 2007
Concentration phenomena in the conformal Brezis-Nirenberg problem Invited Reviewed
Advanced Studies in Pure Mathematics, ``Asymptotic Analysis and Singularities" 47 ( 2 ) 767 - 783 2007（ ISBN:9784931469419 ）
Concentration points of least energy solutions to the Brezis-Nirenberg equation with variable coefficients Reviewed
Banach Center Publications, ``Self-Similar Solutions of Nonlinear PDE" 74 217 - 234 2006
An isoperimetric inequality for mappings with remainder term Reviewed
Communications in Contemporary Math. 8 ( 3 ) 401 - 410 2006
Asymptotic behavior of least energy solutions to a four-dimensional biharmonic semilinear problem
Osaka Journal of Mathematics 42 ( 3 ) 633 - 651 2005
Asymptotic behavior of large solutions to H-systems with perturbations Reviewed
Nonlinear Analysis, Theory, Methods and Applications 58 ( 3-4 ) 459 - 475 2004
On the location of blow up points of least energy solutions to the Brezis-Nirenberg equation Reviewed
Funkcialaj Ekvac. 47 ( 1 ) 145 - 166 2004
Non-topological condensates in self-dual Chern-Simons gauge theory Reviewed
Banach Center Publications,``Nonlocal Elliptic and Parabolic Problems" 66 317 - 336 2004
Existence of the non-topological condensate in the self-dual Chern-Simons gauge theory Reviewed
Advances in Differential Equations 9 ( 42861 ) 539 - 562 2004
Multiple solutions of inhomogeneous H-systems with zero Dirichlet boundary conditions Reviewed
Nonlinear Analysis:Theory, Methods and Applications 52 ( 1 ) 239 - 259 2003
Multiple solutions of H-systems on some multiply-connected domains Reviewed
Advances in Differential Equations 7 ( 3 ) 365 - 384 2002
A minimization problem related to the isoperimetric inequality for $H_0^1$-mappings Reviewed
Advances in Math. Sci. Appl. 12 ( 1 ) 467 - 476 2002
高橋 太, 京都大学数理解析研究所（ Role： Sole author）
京都大学数理解析研究所 2013
京都大学数理解析研究所, 高橋 太, 石渡 通徳（ Role： Sole author）
京都大学数理解析研究所 2012
京都大学数理解析研究所, 高橋 太, 石渡 通徳, 岡部 真也（ Role： Sole author）
京都大学数理解析研究所 2011
京都大学数理解析研究所, Weiss Georg S., 鈴木 貴, 高橋 太（ Role： Sole author）
京都大学数理解析研究所 2009
京都大学数理解析研究所, 高橋 太, 鈴木 貴（ Role： Sole author）
京都大学数理解析研究所 2007
Multi-bubble solutions and the geometry of the domains: a survey (新しい視点からの現象解析と関数方程式--RIMS研究集会報告集) Reviewed
高橋 太
京都大学 数理解析研究所講究録 1750 36 - 51 2011.07（ ISSN:18802818 ）
高橋 太
京都大学 数理解析研究所講究録 1628 28 - 41 2009.02（ ISSN:18802818 ）
高橋 太
京都大学 数理解析研究所講究録 1591 47 - 66 2008.04（ ISSN:18802818 ）
Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference
Futoshi Takahashi
IMPAN (Institute of Mathematics Polish Academy of Science, Warsaw) Simons semester ``Geometry and analysis in function and mapping theory on Euclidean and metric measure spaces" 2019.10
Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference
Futoshi Takahashi
11th Brazilian-Italian Workshop on Nonlinear Differential Equations (Varese, Italy) 2019.07
Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference
Futoshi Takahashi
6th Italian-Japanese workshop on ``Geometric Properties for Parabolic and Elliptic PDE's" (Cortona, Italy) 2019.05
Sharp Hardy-Leray inequalities for curl-free vector fields Invited International conference
Futoshi Takahashi
2019.03
curl-free ベクトル場に対する Hardy-Leray 及び Rellich-Leray 不等式について Domestic conference
濱本直樹、高橋太
日本数学会秋季総合分科会函数方程式論分科会 2018.09 日本数学会
一般有界領域上での臨界 Hardy 不等式について Domestic conference
Jaeyoung Byeon、高橋太
日本数学会秋季総合分科会函数方程式論分科会 2018.09 日本数学会
Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields Invited International conference
Naoki Hamamoto, Futoshi Takahashi
PDEs and Mathematical Hydrodynamics: A conference in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday 2018.07
Hardy's inequality in a limiting case on general bounded domains Invited International conference
Jaeyoung Byeon, Futoshi Takahashi
The 12th AIMS Conference on Dynamical Systems,Differential Equations and Applications 2018.07 American Institute of Mathematical Sciences
Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference
Futoshi Takahashi
The 12th AIMS Conference on Dynamical Systems,Differential Equations and Applications 2018.07 American Institute of Mathematical Sciences
Hardy's inequality in a limiting case on general bounded domains Invited International conference
Jaeyoung Byeon, Futoshi Takahashi
UK-Japan Workshop on ``Analysis of Nonlinear Partial Differential Equations 2018.05
Hardy's inequality in a limiting case on general bounded domains Invited Domestic conference
Jaeyoung Byeon, Futoshi Takahashi
AMS Sectional Meeting Special Session ``Partial Differential Equations and New Perspective of Variational Methods" 2018.04 American Mathematical Society
Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference
Futoshi Takahashi
The 10th Workshop on Nonlinear Differential Equations (Xth WNDE) 2017.09
Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference
Futoshi Takahashi
2017 International Workshop on Nonlinear PDE and Applications 2017.03
Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality Domestic conference
佐野めぐみ、高橋太
日本数学会春季年会函数方程式論分科会 2017.03 日本数学会
Critical and subcritical fractional Trudinger-Moser type inequalities on $\mathbb{R}$ Invited International conference
Futoshi Takahashi
International Conference on ``PDEs, Geometric Analysis and Functional Inequalities" 2017.03
Some Trudinger-Moser type inequalities on the whole space and their (non-) existence of maximizers Invited International conference
FutoshiTakahashi
Roma Caput PDE 2017.01
Some improvements of the Caffarelli-Kohn-Nirenberg type inequalities International conference
Megumi Sano, Futoshi Takahashi
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2016.07 American Institute of Mathematical Sciences
Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements Domestic conference
佐野めぐみ、高橋太
日本数学会春季年会函数方程式論分科会 2016.03 日本数学会
臨界型非線形数理モデルにおける高次数理解析法の創造
Grant-in-Aid for Scientific Research(S) 2019.06
臨界型変分問題における領域の幾何の影響-解空間大域構造とコンパクト性喪失機構-
Grant-in-Aid for Scientific Research(B) 2019.04
Analysis of singular nonlinear structure in dissipative systems
Grant-in-Aid for Scientific Research(A) 2017.04
変分汎関数の高次情報が拓く楕円型偏微分方程式の解の大域的・幾何学的構造
Grant-in-Aid for Scientific Research(B) 2015.04
実解析的関数空間で機能する未開拓変分原理の探索
Grant-in-Aid for Challenging Research (Pioneering)/(Exploratory) 2014.04
Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models
Grant-in-Aid for Scientific Research(S) 2013.05
リウビル・ゲルファント型問題の解の正則性理論の新展開と関連する放物型力学系
Grant-in-Aid for Challenging Research (Pioneering)/(Exploratory) 2012.04
質量・エネルギーの集中現象を伴う臨界型変分問題の大域・漸近解析
基盤(B)一般 2011.04
臨界型変分問題の爆発解析および爆発に起因する解の定性的性質の研究
基盤(C)一般 2008.04
ゲージ理論にあらわれる非線形楕円型方程式の解の構成およびその熱流の漸近挙動の研究
基盤(C)一般 2005.04
全学共通教育の数学科目、理学部数学科専門科目及び大学院講義を担当しています。ルベーグ積分論を扱う「解析学Ⅳ」は数学科ならではの講義の一つですが、直観と議論の厳密性のバランスを心がけて講義しています。
解析学Ⅱ（演習付き）
2019 Undergraduate
Advanced Research Course for Master's Thesis of Science
2018 Graduate school
Introduction to Mathematics II
2018 Graduate school
Senior Thesis
2018 Undergraduate
Lectures on Analysis IV
2018 Undergraduate
Advanced Analysis IV
2018 Graduate school
Analysis III
2018 Undergraduate
Analysis I
2018 Undergraduate
Analysis II with Exercise
2018 Undergraduate
初年次セミナー
2018 Undergraduate
Advanced Research Course for Master's Thesis of Science
2017 Graduate school
Senior Thesis
2017 Undergraduate
Analysis III with Exercise
2017 Undergraduate
Partial Differential Equations
2017 Undergraduate
初年次セミナー
2017 Undergraduate
Advanced Research Course for Master's Thesis of Science
2016 Graduate school
Senior Thesis
2016 Undergraduate
Analysis I with Exercise
2016 Undergraduate
Fundamentals of Mathematics B
2016 Undergraduate
初年次セミナー
2016 Undergraduate
初年次セミナー
2015 Undergraduate
初年次セミナー
2014 Undergraduate
初年次セミナー
2013 Undergraduate
初年次セミナー
2012 Undergraduate
初年次セミナー
2011 Undergraduate
FD活動への貢献 2019
FD活動への貢献 2018
FD活動への貢献 2017
2019
2018
Original item：オフィスアワーの実施
2017
Original item：オフィスアワーの実施
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
大阪府立大手前高等学校 関西学院大学上ヶ原キャンパス 2019.08
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Consultant
大阪府立大手前高等学校 関西学院大学上ヶ原キャンパス中央講堂 2018.08
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Consultant
大阪府立大手前高等学校 関西学院大学上ヶ原キャンパス中央講堂 2017.08
JST次世代育成事業「女子中高生のための関西科学塾」
Role(s)： Lecturer
大阪大学 大阪市立大学 2016.11
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Consultant
大阪府立大手前高等学校 京都大学百周年時計台記念館 2016.08
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Consultant
大阪府立大手前高等学校 エル・おおさか 2015.08
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Consultant
大阪府立大手前高等学校 エル・おおさか 2014.08
科学技術振興機構スーパーサイエンスハイスクール（SSH）事業
Role(s)： Lecturer
2012.07
出張授業
Role(s)： Lecturer
雲雀丘学園高校 2010.07
2019
foreigners accepted :2
International Students :1
2018
foreigners accepted :3
International Students :1
2017
foreigners accepted :17
International Students :0
2016
foreigners accepted :8
International Students :0
2015
foreigners accepted :2
International Students :0
2014
foreigners accepted :7
International Students :0
国際研究集会 The 5th Italian-Japanese Workshop on Geometric Properties of Parabolic and Elliptic PDE's の主催（於大阪市立大学）
Field category :Research
Country name :Italy, France, Korea 2017.05
Job Career
2009
Osaka City University
Job Career
2007
Osaka City University
Job Career
2005
Osaka City University