I am working on complex differential geometry, algebraic geometry and algebraic analysis. One of my main themes is to pursue correspondences between objects in algebraic geometry and algebraic geometry. I am also interested in the study of singularity of differential equations.
Research Areas
Natural sciences, Geometry
Papers
Harmonic metrics of generically regular semisimple Higgs bundles on noncompact Riemann surfaces
Qiongling Li; Takuro Mochizuki
Tunisian Journal of Mathematics, 21 Nov. 2023, Peer-reviewed, Corresponding author
Curve test for enhanced ind-sheaves and holonomic D-modules, II
Takuro Mochizuki
Annales scientifiques de l'ENS, Jul. 2022, Peer-reviewed
Curve test for enhanced ind-sheaves and holonomic D-modules, I
Takuro Mochizuki
Annales scientifiques de l'ENS, Jul. 2022, Peer-reviewed
Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
Takuro Mochizuki
Symmetry, Integrability and Geometry: Methods and Applications, 17 Jul. 2021, Peer-reviewed, Invited
Asymptotic behaviour of certain famlies of harmonic bundles on Riemann surfaces
Takuro Mochizuki
Workshop on New Perspectives on Moduli Spaces in Gauge Theory, 03 Aug. 2016, Invited
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Takuro Mochizuki
離散群と双曲空間のトポロジーと解析, 23 Jun. 2016, Invited
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Takuro Mochizuki
Flat connections, Higgs bundles and Painleve equations, 01 May 2016, Invited
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Takuro Mochizuki
Modern Interactions between Algebra, Geometry and Physics, 20 Apr. 2016, Invited
A twistor approach on Kontsevich complexes
Takuro Mochizuki
Mirror Symmetry and Algebraic Geometry, 07 Dec. 2015, Invited
Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
Takuro Mochizuki
The 21st Symposium on Complex Geometry, 30 Oct. 2015, Invited
Quantum D-modules and mixed twistor D-modules
Takuro Mochizuki
Colloquium at Heidelberg University, 30 Apr. 2015, Invited
Quantum D-modules and mixed twistor D-modules
Takuro Mochizuki
Mirror Symmetry, Hodge Theory and Differential Equations, 21 Apr. 2015, Invited
Wild harmonic bundles and twistor D-modules
Takuro Mochizuki
International Congress of Mathematicians, Aug. 2014, Invited
Mixed twistor structure and GKZ-hypergeometric systems
Takuro Mochizuki
The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, Jul. 2014, Invited
Wild harmonic bundles and some applications
Takuro Mochizuki
The Asian Mathematical Conference 2013, Jul. 2013, Invited
Nahm transforms for harmonic bundles
Takuro Mochizuki
Development of Moduli Theory, Jun. 2013, Invited
Harmonic bundles and Toda lattices with opposite sign
Takuro Mochizuki
Recent trends in Algebraic Analysis, Feb. 2013, Invited
Harmonic bundle and Toda lattice with opposite sign
Takuro Mochizuki
Various Aspects on the Painleve Equations, Nov. 2012, Invited
Harmonic bundle and twistor D-module
Takuro Mochizuki
Singularities of differential equations in algebraic geometry, Jun. 2012, Invited
The asymptotic behaviour of doubly periodic instantons and Stokes structure
Takuro Mochizuki
Spring School on Algebraic Microlocal Analysis, May 2012
From Hodge toward Twistor
Takuro Mochizuki
MSJ Springe meeting 2012, Mar. 2012, Invited
Twistor D-module and harmonic bundle
Takuro Mochizuki
Symposium on Projective Algebraic Varieties and Moduli, Feb. 2012, Invited
From Hodge toward Twistor
Takuro Mochizuki
RIMS International Conference on Noncommutative Geometry and Physics and Hayashibara forum on Symplectic Geometry, Noncommutative Geometry and Physics, Nov. 2010, Invited
Kobayashi-Hitchin correspondence for D-modules
Takuro Mochizuki
PRIMA Conference on Geometric Analysis, Jul. 2010, Invited
Betti structure of holonomic D-modules
Takuro Mochizuki
Conference on Algebraic Geometry and Arithmetic, Feb. 2010, Invited
On wild harmonic bundles
Takuro Mochizuki
The 56th Geometry Symposium, Aug. 2009, Invited
On wild harmonic bundle and wild pure twistor D-module
Takuro Mochizuki
The 4th Kagoshima Algebra–Analysis–Geometry Seminar, Feb. 2009, Invited
Some additional structures on wild pure twistor D-modules
Takuro Mochizuki
Conference in Honor of Z. Mebkhout for his Sixtieth Birthday, Jan. 2009, Invited
Wild harmonic bundles and wild pure twistor D-modules
Takuro Mochizuki
International Conference on Complex Geometry, Jan. 2009, Invited
On Deligne-Malgrange lattices
Takuro Mochizuki
Equations aux derivees partielles et theorie de Galois differentielle, Oct. 2008, Invited
On wild harmonic bundles
Takuro Mochizuki
New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry, Jan. 2008, Invited
Invariants obtained from the moduli stacks of semistable sheaves on projective surfaces
Takuro Mochizuki
The 54th Geometry Symposium, Aug. 2007, Invited
Harmonic bundle and D-module
Takuro Mochizuki
Algebraic Analysis and Around, 29 Jun. 2007, Invited
On asymptotic behaviour of wild harmonic bundles
Takuro Mochizuki
From tQFT to tt* and integrability, 25 May 2007, Invited
On arithmetic theory of automorphic forms and special values of automorphic L-functions
Grant-in-Aid for Scientific Research (C)
Osaka City University;Hiroshima University
Masaaki FURUSAWA
From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
シーゲル保型形式;保型エル函数;エル函数の特殊値;ドリーニュ予想;相対跡公式;跡公式;ジーゲル保型形式;保型形式の持ち上げ;クルスターマン和, Siegel modular form;automorphic L-function;special value of L-function;Deligne's conjecture;relative trace formula;trace formula