×
Compute Distance To:
Author ID: mochizuki.takuro Recent zbMATH articles by "Mochizuki, Takuro"
Published as: Mochizuki, Takuro
Homepage: https://www.kurims.kyoto-u.ac.jp/en/list/takuro.html
External Links: Wikidata · GND · IdRef
Awards: Breakthrough Prize in Mathematics (2022)

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 350 times in 226 Documents Cited by Year
Wild harmonic bundles and wild pure twistor \(D\)-modules. Zbl 1245.32001
Mochizuki, Takuro
51
2011
Some calculations of cohomology groups of finite Alexander quandles. Zbl 1036.18009
Mochizuki, Takuro
46
2003
Kobayashi-Hitchin correspondence for tame harmonic bundles and an application. Zbl 1119.14001
Mochizuki, Takuro
43
2006
Kobayashi-Hitchin correspondence for tame harmonic bundles. II. Zbl 1176.14007
Mochizuki, Takuro
21
2009
Good formal structure for meromorphic flat connections on smooth projective surfaces. Zbl 1183.14027
Mochizuki, Takuro
19
2009
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor \(D\)-modules. II. Zbl 1259.32006
Mochizuki, Takuro
18
2007
Donaldson type invariants for algebraic surfaces. Transition of moduli stacks. Zbl 1177.14003
Mochizuki, Takuro
15
2009
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor \(D\)-modules. I. Zbl 1259.32005
Mochizuki, Takuro
14
2007
The virtual class of the moduli stack of stable \(r\)-spin curves. Zbl 1136.14015
Mochizuki, Takuro
13
2006
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces. Zbl 1381.53047
Mochizuki, Takuro
12
2016
The 3-cocycles of the Alexander quandles \(\mathbb F_q[T]/(T-\omega)\). Zbl 1085.55004
Mochizuki, Takuro
12
2005
On the morphism of Duflo-Kirillov type. Zbl 1134.53304
Mochizuki, Takuro
9
2002
Mixed twistor \(\mathcal D\)-modules. Zbl 1356.32002
Mochizuki, Takuro
9
2015
Harmonic bundles and Toda lattices with opposite sign. II. Zbl 1293.32046
Mochizuki, Takuro
7
2014
Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure. Zbl 1069.32010
Mochizuki, Takuro
7
2002
Kobayashi-Hitchin correspondence for analytically stable bundles. Zbl 1433.53038
Mochizuki, Takuro
7
2020
The Stokes structure of a good meromorphic flat bundle. Zbl 1227.32011
Mochizuki, Takuro
6
2011
Note on the Stokes structure of Fourier transform. Zbl 1201.32016
Mochizuki, Takuro
6
2010
Some characterizations of Dirac type singularity of monopoles. Zbl 1378.70028
Mochizuki, Takuro; Yoshino, Masaki
5
2017
Asymptotic behaviour of variation of pure polarized TERP structure. Zbl 1231.32013
Mochizuki, Takuro
5
2011
The third cohomology groups of dihedral quandles. Zbl 1226.57010
Mochizuki, Takuro
5
2011
On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles. Zbl 1202.32008
Mochizuki, Takuro
4
2009
Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature. Zbl 1305.53034
Mochizuki, Takuro
4
2014
Wild harmonic bundles and twistor \(\mathcal{D}\)-modules. Zbl 1373.14021
Mochizuki, Takuro
3
2014
Triply periodic monopoles and difference modules on elliptic curves. Zbl 1441.53016
Mochizuki, Takuro
3
2020
Holonomic \(\mathcal D\)-modules with Betti structures. (\(\mathcal D\)-modules holonomes munis d’une structure de Betti.) Zbl 1327.14006
Mochizuki, Takuro
2
2014
Tame harmonic bundles and the application to pure twistor \(D\)-modules. Zbl 1229.32012
Mochizuki, Takuro
2
2010
Good wild harmonic bundles and good filtered Higgs bundles. Zbl 07413741
Mochizuki, Takuro
1
2021
Periodic monopoles and difference modules. Zbl 07471591
Mochizuki, Takuro
1
2022
Periodic monopoles and difference modules. Zbl 07471591
Mochizuki, Takuro
1
2022
Good wild harmonic bundles and good filtered Higgs bundles. Zbl 07413741
Mochizuki, Takuro
1
2021
Kobayashi-Hitchin correspondence for analytically stable bundles. Zbl 1433.53038
Mochizuki, Takuro
7
2020
Triply periodic monopoles and difference modules on elliptic curves. Zbl 1441.53016
Mochizuki, Takuro
3
2020
Some characterizations of Dirac type singularity of monopoles. Zbl 1378.70028
Mochizuki, Takuro; Yoshino, Masaki
5
2017
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces. Zbl 1381.53047
Mochizuki, Takuro
12
2016
Mixed twistor \(\mathcal D\)-modules. Zbl 1356.32002
Mochizuki, Takuro
9
2015
Harmonic bundles and Toda lattices with opposite sign. II. Zbl 1293.32046
Mochizuki, Takuro
7
2014
Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature. Zbl 1305.53034
Mochizuki, Takuro
4
2014
Wild harmonic bundles and twistor \(\mathcal{D}\)-modules. Zbl 1373.14021
Mochizuki, Takuro
3
2014
Holonomic \(\mathcal D\)-modules with Betti structures. (\(\mathcal D\)-modules holonomes munis d’une structure de Betti.) Zbl 1327.14006
Mochizuki, Takuro
2
2014
Wild harmonic bundles and wild pure twistor \(D\)-modules. Zbl 1245.32001
Mochizuki, Takuro
51
2011
The Stokes structure of a good meromorphic flat bundle. Zbl 1227.32011
Mochizuki, Takuro
6
2011
Asymptotic behaviour of variation of pure polarized TERP structure. Zbl 1231.32013
Mochizuki, Takuro
5
2011
The third cohomology groups of dihedral quandles. Zbl 1226.57010
Mochizuki, Takuro
5
2011
Note on the Stokes structure of Fourier transform. Zbl 1201.32016
Mochizuki, Takuro
6
2010
Tame harmonic bundles and the application to pure twistor \(D\)-modules. Zbl 1229.32012
Mochizuki, Takuro
2
2010
Kobayashi-Hitchin correspondence for tame harmonic bundles. II. Zbl 1176.14007
Mochizuki, Takuro
21
2009
Good formal structure for meromorphic flat connections on smooth projective surfaces. Zbl 1183.14027
Mochizuki, Takuro
19
2009
Donaldson type invariants for algebraic surfaces. Transition of moduli stacks. Zbl 1177.14003
Mochizuki, Takuro
15
2009
On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles. Zbl 1202.32008
Mochizuki, Takuro
4
2009
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor \(D\)-modules. II. Zbl 1259.32006
Mochizuki, Takuro
18
2007
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor \(D\)-modules. I. Zbl 1259.32005
Mochizuki, Takuro
14
2007
Kobayashi-Hitchin correspondence for tame harmonic bundles and an application. Zbl 1119.14001
Mochizuki, Takuro
43
2006
The virtual class of the moduli stack of stable \(r\)-spin curves. Zbl 1136.14015
Mochizuki, Takuro
13
2006
The 3-cocycles of the Alexander quandles \(\mathbb F_q[T]/(T-\omega)\). Zbl 1085.55004
Mochizuki, Takuro
12
2005
Some calculations of cohomology groups of finite Alexander quandles. Zbl 1036.18009
Mochizuki, Takuro
46
2003
On the morphism of Duflo-Kirillov type. Zbl 1134.53304
Mochizuki, Takuro
9
2002
Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure. Zbl 1069.32010
Mochizuki, Takuro
7
2002
all top 5

Cited by 233 Authors

13 Mochizuki, Takuro
9 Saito, Masahico
9 Zhang, Xi
8 Nosaka, Takefumi
7 Sabbah, Claude
7 Zhang, Chuanjing
7 Zhang, Pan
6 Elhamdadi, Mohamed
6 Szabo, Szilard
5 Iwakiri, Masahide
5 Kashiwara, Masaki
4 Buryak, Alexandr Y.
4 Chang, Huai-Liang
4 D’Agnolo, Andrea
4 Feehan, Paul M. N.
4 Fredrickson, Laura
4 Göttsche, Lothar
4 Huang, Pengfei
4 Kedlaya, Kiran Sridhara
4 Leness, Thomas G.
4 Li, Jiayu
4 Oshiro, Kanako
4 Przytycki, Józef H.
4 Satoh, Shin
4 Sevenheck, Christian
3 Carter, J. Scott
3 de Cataldo, Mark Andrea A.
3 Guest, Martin A.
3 Hien, Marco
3 Hu, Zhi
3 Ito, Yohei
3 Jarvis, Tyler J.
3 Kool, Martijn
3 Li, Jun
3 Li, Wei-Ping
3 Nakajima, Hiraku
3 Niebrzydowski, Maciej
3 Simpson, Carlos Tschudi
3 Torossian, Charles
2 Asami, Soichiro
2 Bar-Natan, Dror
2 Castaño Domínguez, Alberto
2 Clark, W. Edwin
2 Diaconescu, Duiliu-Emanuel
2 Donagi, Ron Y.
2 Esnault, Hélène
2 Greb, Daniel
2 Hatakenaka, Eri
2 Ho, Nan-Kuo
2 Kamada, Seiichi
2 Kebekus, Stefan
2 Krämer, Thomas
2 Langer, Adrian
2 Liu, Chiu-Chu Melissa
2 Migliorini, Luca
2 Morando, Giovanni
2 Nakamura, Inasa
2 Pandharipande, Rahul
2 Panov, Dmitri Alekseevich
2 Pantev, Tony G.
2 Peternell, Thomas Martin
2 Pixton, Aaron
2 Rayan, Steven
2 Reichelt, Thomas
2 Schnell, Christian
2 Shen, Zhenghan
2 Sheng, Mao
2 Swoboda, Jan
2 Taji, Behrouz
2 Takeuchi, Kiyoshi
2 Talpo, Mattia
2 Tanaka, Yuuji
2 Teyssier, Jean-Baptiste
2 Wang, Ruixin
2 Xiao, Liang
2 Yang, Seung Yeop
2 Yoshioka, Kōta
2 Yu, Jeng-Daw
2 Zappala, Emanuele
2 Zuo, Kang
2 Zvonkine, Dimitri
1 Abe, Sukuse
1 Abebaw, Tilahun
1 Aker, Kürşat
1 Ameur, Kheira
1 Anderson, Lara B.
1 Andler, Martin
1 Andruskiewitsch, Nicolás
1 Arapura, Donu
1 Bhatt, Bhargav
1 Biswas, Indranil
1 Bøgvad, Rikard
1 Bonatto, Marco
1 Borne, Niels
1 Brézin, Edouard
1 Brosnan, Patrick
1 Budur, Nero
1 Calaque, Damien
1 Campbell, Justin
1 Cao, Yalong
...and 133 more Authors
all top 5

Cited in 78 Serials

20 Journal of Knot Theory and its Ramifications
18 Advances in Mathematics
10 Communications in Mathematical Physics
10 Topology and its Applications
9 Journal of Geometry and Physics
7 Transactions of the American Mathematical Society
7 Geometry & Topology
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Compositio Mathematica
6 Mathematische Annalen
6 Selecta Mathematica. New Series
5 Letters in Mathematical Physics
5 Journal of Pure and Applied Algebra
5 Algebraic & Geometric Topology
4 Annales de l’Institut Fourier
4 Inventiones Mathematicae
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Calculus of Variations and Partial Differential Equations
3 Manuscripta Mathematica
3 International Journal of Mathematics
3 Journal of Algebraic Geometry
3 Journal of the Institute of Mathematics of Jussieu
3 Japanese Journal of Mathematics. 3rd Series
3 Communications in Mathematics and Statistics
2 Communications in Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Publications Mathématiques
2 Journal of Algebra
2 Journal of Differential Geometry
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Algebra and its Applications
2 Forum of Mathematics, Sigma
2 European Journal of Mathematics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Russian Mathematical Surveys
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Hiroshima Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tsukuba Journal of Mathematics
1 The Journal of Geometric Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Algebras and Representation Theory
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Complex Variables and Elliptic Equations
1 Algebra & Number Theory
1 Journal of Topology
1 Journal of Topology and Analysis
1 Kyoto Journal of Mathematics
1 Journal of Mathematical Research with Applications
1 Journal de l’École Polytechnique – Mathématiques
1 Complex Manifolds

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.