Updated on 2024/10/09
博士（理学） ( 早稲田大学 )
修士（理学） ( 早稲田大学 )
Waseda University doctor course completed
Waseda University master course completed
Waseda University graduated
2020.4 - Now
Chuo University 理工学部 准教授
2023.10 - 2024.3
早稲田大学基幹理工学研究科 非常勤講師
2022.10 - 2023.3
早稲田大学基幹理工学研究科 非常勤講師
2022.12
東京大学大学院数理科学研究科 非常勤講師
2021.12
名古屋大学大学院多元数理科学研究科 非常勤講師
2021.4 - 2021.9
Waseda University 基幹理工学部 非常勤講師
2019.4 - 2020.3
早稲田大学 非常勤講師
2012.4 - 2020.3
Saitama University 理工学研究科 助教
2019.7
Tokyo Metropolitan University 非常勤講師
2018.5 - 2018.6
Yamagata University 非常勤講師
2016.11 - 2016.12
Saga University 非常勤講師
2011.4 - 2012.3
日本学術振興会特別研究員（東京大学） PD
2010.4 - 2011.3
日本学術振興会特別研究員（早稲田大学） PD
2008.4 - 2010.3
日本学術振興会特別研究員（早稲田大学） DC１
一般社団法人日本数学会
"Fano variety, homogeneous manifold, Camapana-Peternell conjecture, uniruled variety, rational curve, VMRT"
Natural Science / Algebra / Algebra
Fano varieties of middle pseudoindex Reviewed
Kiwamu Watanabe
manuscripta mathematica 2024.9
Fano 4-folds with nef tangent bundle in positive characteristic Reviewed
Yuta Takahashi, Kiwamu Watanabe
Communications in Algebra 1 - 10 2024.1
Positivity of the exterior power of the tangent bundles Reviewed
Kiwamu Watanabe
Proceedings of the Japan Academy, Series A, Mathematical Sciences 99 ( 10 ) 77 - 80 2023.12
Projective varieties with nef tangent bundle in positive characteristic Reviewed
Kanemitsu, Akihiro, Watanabe, Kiwamu
Compositio Mathematica 159 ( 9 ) 1974 - 1999 2023
Positivity of the second exterior power of the tangent bundles Reviewed
Watanabe, Kiwamu
Advances in Mathematics 2021.7
Fano manifolds of coindex three admitting nef tangent bundle Reviewed
Watanabe, Kiwamu
Geometriae Dedicata 210 165 - 178 2021.5
Varieties with nef diagonal Reviewed
Suzuki, Taku, Watanabe, Kiwamu
International Journal of Mathematics 31 ( 2 ) 2020
Correction to: A characterization of symplectic Grassmannians Reviewed
Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu
Mathematische Zeitschrift 292 ( 1-2 ) 569 - 570 2019.6
Characterizing the homogeneous variety F4(4) Reviewed
Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu
Mathematische Nachrichten 291 ( 14-15 ) 2334 - 2346 2018.10
Low-dimensional projective manifolds with nef tangent bundle in positive characteristic Reviewed
Watanabe, Kiwamu
Communications in Algebra 45 ( 9 ) 3768 - 3777 2017.9
A characterization of symplectic Grassmannians Reviewed
Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu
Mathematische Zeitschrift 286 ( 3-4 ) 1421 - 1433 2017.8
Fano manifolds whose elementary contractions are smooth P^1-fibrations: a geometric characterization of flag varieties Reviewed
Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu, Wiśniewski, Jaroslaw A
Annali della Scuola Normale di Pisa - Classe di Scienze 17 ( 2 ) 573 - 607 2017
Uniform families of minimal rational curves on Fano manifolds Reviewed
Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu
Revista Matemática Complutense 29 ( 2 ) 423 - 437 2016.5
Fano manifolds with nef tangent bundle and large Picard number Reviewed
Watanabe, Kiwamu
Proceedings of the Japan Academy, Series A 91 ( 6 ) 89 - 94 2015.5
Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle Reviewed
Muñoz, Roberto, Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu
Mathematische Annalen 361 ( 3-4 ) 583 - 609 2015.4
A survey on the Campana-Peternell Conjecture Reviewed
Muñoz, Roberto, Occhetta, Gianluca, Solá Conde, Luis E, Watanabe, Kiwamu, Wiśniewski, Jaroslaw A
Rendiconti dell'Istituto di Matematica dell'Università di Trieste 47 127 - 185 2015
P1-bundles admitting another smooth morphism of relative dimension one Reviewed
Watanabe, Kiwamu
Journal of Algebra 414 105 - 119 2014.9
Fano 5-folds with nef tangent bundles and Picard numbers greater than one Reviewed
Watanabe, Kiwamu
Mathematische Zeitschrift 276 ( 1-2 ) 39 - 49 2014.2
On projective manifolds swept out by cubic varieties Reviewed
Watanabe, Kiwamu
International Journal of Mathematics 23 ( 7 ) 2012.7
Classification of embedded projective manifolds swept out by rational homogeneous varieties of codimension one Reviewed
Watanabe, Kiwamu
Pacific Journal of Mathematics 252 ( 2 ) 493 - 498 2011.8
A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1 Reviewed
Watanabe, Kiwamu
Journal of Algebra 337 ( 1 ) 224 - 232 2011.7
Lengths of chains of minimal rational curves on Fano manifolds Reviewed
Watanabe, Kiwamu
Journal of Algebra 325 ( 1 ) 163 - 176 2011.1
Actions of linear algebraic groups of exceptional type on projective varieties Reviewed
Watanabe, Kiwamu
Pacific Journal of Mathematics 239 ( 2 ) 391 - 395 2009.2
Classification of polarized manifolds admitting homogeneous varieties as ample divisors Reviewed
Watanabe, Kiwamu
Mathematische Annalen 342 ( 3 ) 557 - 563 2008.11
２０１８年度 日本数学会賞建部賢弘賞特別賞
2018.9 一般社団法人日本数学会 ネフ接束をもつファノ多様体に関するカンパナ・ペターネル予想の研究
渡邉究
Structural study of algebraic varieties from the viewpoint of the positivity of the tangent bundle
Grant number：21K03170 2021.4 - 2025.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research 「基盤研究(C)」と「基盤研究(C)における独立基盤形成支援（試行）」 Chuo University
Grant type：Competitive
Grant amount： \4550000 （ Direct Cost: \3500000 、 Indirect Cost： \1050000 ）
Characterization of homogeneous varieties among Fano varieties
2020.4 - 2022.3
Inamori Foundation 2020 Inamori Research Grants
Watanabe, Kiwamu
Structural Study of algebraic varieties from the viewpoint of the positivity of the tangent bundle and the diagonal set
2019.11 - 2022.3
The Sumitomo Foundation 基礎科学研究助成
渡邉究, 鈴木拓, L. E. Sola Conde, sity of Trent, G. Occhetta, ity of
接束による等質多様体の特徴付け
Grant number：17K14153 2017.4 - 2021.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Watanabe Kiwamu
Grant type：Competitive
Grant amount： \4290000 （ Direct Cost: \3300000 、 Indirect Cost： \990000 ）
I studied projective varieties from the viewpoint of the positivity of the tangent bundle. I wrote three papers on the Campana-Peternell conjecture "Any Fano manifold with nef tangent bundle is homogeneous". I also studied more wide class of varieties. As a consequence, I obtained a structure theorem of varieties with nef second exterior power of the tangent bundle and a positive characteristic analogue of the Demailly-Peternell-Scheneider theorem.
ネフな接束をもつファノ多様体の構造研究
Grant number：26800002 2014.4 - 2017.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B) Saitama University
WATANABE Kiwamu, Muñoz Roberto, Occhetta Gianluca, Conde Luis E. Solá, Wiśniewski Jaroslaw A.
Grant type：Competitive
Grant amount： \3770000 （ Direct Cost: \2900000 、 Indirect Cost： \870000 ）
I studied characterization problems of homogeneous varieties from the viewpoint of tangent bundle. In particular, I studied the Campana-Peternell conjecture on Fano manifolds with nef tangent bundle (which is the so-called the CP conjecture) and the Mok-Hong-Hwang conjecture on characterizations of homogeneous varieties by these VMRT's (MHH conjecture). I studied these problems with R. Munoz, G. Occhetta, L. E. Sola Conde and J. A. Wisniewski. Seven papers have been published or accepted for publications.
有理曲線族の研究と等質多様体の特徴付け
Grant number：24840008 2012.8 - 2014.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Research Activity Start-up Saitama University
WATANABE Kiwamu, MUÑOZ Roberto, OCCHETTA Gianluca, CONDE Luis E. Solá, J. Wiśniewski
Grant type：Competitive
Grant amount： \2990000 （ Direct Cost: \2300000 、 Indirect Cost： \690000 ）
I have studied Fano manifolds with nef tangent bundles. It is conjectured that such manifolds are rational and homogeneous by Campana and Peternell, which is called the CP conjecture. First, I proved that the conjecture holds for Fano 5-folds of Picard number >1. The result was published from Math Zeitsherift. On the other hand, I studied some problems related to the CP conjecture with R. Munoz, G. Occhetta, L. Sola Conde and J. Wiśniewski. In particular, we proved that Fano manifolds whose elementary contractions are smooth P1-fibrations are complete flag manifolds. As a corollary, the CP conjecture can be boiled down to another problem. We wrote two papers on this topic and these papers are submitted.
ファノ多様体とその上の有理曲線の幾何学
Grant number：11J05317 2011.4 - 2012.3
等質多様体の射影幾何学的研究と接束による特徴付け
Grant number：08J01624 2008.4 - 2011.3
2016.7 - 2018.6
一般社団法人日本数学会 雑誌「数学」常任編集委員
