Updated on 2024/04/12
Diplome d’habilitation a diriger des recherches ( Universite de Caen )
Ph.D. ( Brown University )
M.Sc. ( The University of Tokyo )
Brown University Mathematics doctor course completed
The University of Tokyo Graduate School, Division of Science master course completed
The University of Tokyo Faculty of Science graduated
東京都立戸山高校 graduated
2006.4 - Now
Chuo University Faculty of Economics Professor
2021.5 - 2022.3
Boston Univeristy Department of Mathematics and Statistics Visiting Scholar
2004.4 - 2006.3
Chuo University Faculty of Economics
2001.4 - 2004.3
Kanagawa Institute of Technology Faculty of Engineering
1993.9 - 2001.3
Université de Caen UFR de Sciences Maître de conférences
2000.1 - 2000.9
The University of Tokyo Graduate School of Mathematical Sciences
1998.1 - 1998.6
Brown University Department of Mathematics Visiting Assistant Professor
1993.1 - 1993.6
Concordia University CICMA Postdoctoral Fellow
1991.1 - 1992.12
McGill University Department of Mathematics and Statistics NSERC International Postdoctoral Fellow
1990.7 - 1990.11
University of British Columbia Postdoctoral Fellow
1989.9 - 1990.5
Clark University Department of Mathematics Visiting Assistant Professor
アメリカ数学会
日本数学会
Arithmetic Algebraic Geometry
Natural Science / Algebra / Number Theory
Natural Science / Algebra / Algebraic Geomety
Ranks of elliptic curves in cyclic sextic extensions of Q Reviewed
Hershy Kisilevsky, Masato Kuwata
Indagationes Mathematicae 2024.1
Elliptic normal curves of even degree and theta functions
Masanobu Kaneko, Masato Kuwata
arXiv.org 2020.5
Mordell–Weil lattice of Inose's elliptic K3 surface arising from the product of 3-isogenous elliptic curves Reviewed
Masato Kuwata, Kazuki Utsumi
Journal of Number Theory 190 333 - 351 2018.9
Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited Reviewed
Abhinav Kumar, Masato Kuwata
Contemporary Mathematics 703 131 - 141 2018.6
Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-weil lattices and their fields of definition Reviewed
Abhinav Kumar, Masato Kuwata
Nagoya Mathematical Journal 228 124 - 185 2017.12
Equal sums of sixth powers and a certain K3 surface
Masato Kuwata
経済学論纂 53 ( 5/6 ) 395 - 404 2013.3
Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves Reviewed
Jack Fearnley, Hershy Kisilevsky, Masato Kuwata
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 86 ( 2 ) 539 - 557 2012.10
Elliptic parameters and defining equations for elliptic fibrations on a Kummer surface Reviewed
Masato Kuwata, Tetsuji Shioda
Algebraic geometry in East Asia - Hanoi 2005 50 177 - 215 2008
Equal sums of sixth powers and quadratic line complexes Reviewed
Masato Kuwata
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 37 ( 2 ) 497 - 517 2007
Quadratic twists of an elliptic curve and maps from a hyper elliptic curve Reviewed
Math.Jour. Okayama University 47 85 - 98 2005.12
Twenty-eight double tangent lines of a plane quartile curve with an involution and the Mordell-Weil lattices Reviewed
Kuwata Masato
Comment.Math.Univ. St. Paul 54 ( 1 ) 17 - 32 2005.6
Points defined over cyclic quartic extensions on an elliptic curve and generalized kummer surfaces Reviewed
M Kuwata
GALOIS THEORY AND MODULAR FORMS 11 65 - 76 2004
代数幾何・城崎シンポジウム報告集 2001 51 - 58 2001.4
A singular K3 surfaces related to sums of concecutive cubes Reviewed
Joap Top
Indagationes Math. 11 419 - 435 2000.4
Elliptic K3 surfaces with given Mordell-Weil rank Reviewed
KUWATA M.
Comment. Math. Univ. St. Paul 49 91 - 110 2000.4
K3曲面とそのMordell-Weil格子
第45回代数学シンポジウム報告集 2000.4
Generalized Artin's conjecture for primitive roots and cyclicity mod p of ellipic curves over function fields Reviewed
David A. Clark
Canadian Math. Bull. 38 167 - 173 1995.4
Elliptic fibrations on quartic K3 surfaces with large Picard number Reviewed
Pacific Journal of Math. 171 231 - 243 1995.4
Tordues quadratic de coubes elliptiques et points rationnels sur les surface de Chatlet
Compte rendus de Journee Arithmetiques 1994.4
An elliptic surface related to sums of consecutive squares Reviewed
Joap Top
Expositiones Math. 12 181 - 192 1994.4
TOPOLOGY OF RATIONAL-POINTS ON ISOTRIVIAL ELLIPTIC-SURFACES Reviewed
M KUWATA, L WANG
DUKE MATHEMATICAL JOURNAL 70 ( 1 ) A113 - A123 1993.4
Ramified primes in the field of definition for the Mordell-Weil group of an elliptic surface Reviewed
Proceedings of Amer. Math. Soc. 116 955 - 959 1992.4
The field of definition of the Mordell-Weil group of an elliptic curve over a function field Reviewed
Compositio Mathematicae 76 399 - 406 1990.4
The canonical height and elliptic surfaces Reviewed
Journal of Number Theory 36 201 - 211 1990.4
Intersection homology of weighted projective spaces and pseudo-lens spaces Reviewed
Pacific Journal of Math. 133 355 - 362 1988.4
Toward the theory of Mordell-Weil lattices of elliptic threefolds Invited
Masato Kuwata
Workshop on Calabi-Yau Varieties and Related Topics 2023 2023.7
Finding points defined over cyclic sextic extensions of an elliptic curve using a K3 surface Invited
Masato Kuwta
Curves over finite fields and arithmetic of K3 surfaces 2022.8
Finding points defined over cyclic extensions of an elliptic curve: A geometric approach Invited
Masato Kuwata
Brown Algebra Seminar ( Brown University ) 2022.2
Jacobians of genus 2 curves with full level 3 structure and the related elliptic fibrations Invited
Masato Kuwata
Boston University number theory seminar ( Boston University ) 2021.10
Rational points on generalized Kummer varieties Invited
Rational Points on Higher Dimensional Varieties ( 京都大学数理科学研究所 ) 2019.12
レベル3構造をもつアーベル曲面の普遍族と有理楕円曲面のMordell-Weil格子 Invited
2018大分鹿児島数論研究集会 ( 鹿児島大学 ) 2018.10
The universal abelian surface with level 3 structure and the Mordell-Weil latice of type E_8
A Celebration of CICMA's Postdoctoral Program 2018.7
Shioda-Inose structure and elliptic K3 surfaces with high Mordell-Weil rank
Geometry and Physics of F-theory, Banff International Research Station 5 Day Workshop 2018.1
Elliptic normal curves of degree 2N and modular groups
Tsuda College-OIST joint-workshop 2016.8
Elliptic K3 surfaces with Mordell-Weil rank 18
Arithmetic 2015: Silvermania, Brown University 2015.8
Elliptic K3 surfaces with high Mordell-Weil rank.
Workshop on K3 surfaces and Enriques surfaces 2015 2015.8
Elliptic K3 surfaces with Mordell-Weil rank 18
Arithmetic and Algebraic Geometry 2015 at University of Tokyo 2015.1
Mordell-Weil Groups of elliptically-fibered Calabi-Yau manifolds
Grant number：19K03427 2019.4 - 2024.3
JSPS 学術研究助成基金助成金 基盤研究(C) Chuo University
Masato Kuwata
Grant type：Competitive
Grant amount： \3900000 （ Direct Cost: \3000000 、 Indirect Cost： \900000 ）
K3楕円曲面のモーデル・ヴェイユ格子の数論的研究
Grant number：26400023 2014.4 - 2018.3
文部科学省 科学研究費助成事業 基盤研究（Ｃ） Grant-in-Aid for Scientific Research (C) Chuo University
鍬田 政人
Grant type：Competitive
Grant amount： \3640000 （ Direct Cost: \2800000 、 Indirect Cost： \840000 ）
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高次元代数多様体の有理点に関する研究
2014.4 - 2016.3
Ｋ３楕円曲面のモーデル・ヴェイユ格子の研究
Grant number：23540028 2013.4 - 2014.3
文部科学省 科学研究費助成事業 基盤研究（Ｃ） Grant-in-Aid for Scientific Research (C) Chuo University
鍬田 政人
Grant type：Competitive
Grant amount： \2990000 （ Direct Cost: \2300000 、 Indirect Cost： \690000 ）
- -
Elliptic fibrations on Kummer surfaces
Grant number：20540022 2008 - 2010
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) Chuo University
KUWATA Masato
Grant amount： \2080000 （ Direct Cost: \1600000 、 Indirect Cost： \480000 ）
On a K3 surface there may exist more than one elliptic fibration. In order to study detailed arithmetic properties, it is very useful to have many elliptic fibra-tions on a given K3 surface. Our objective is to classify all elliptic fibrations on a given K3 surface and describe them as explicitly as possible. We made a significant progress on this problem in the case of Kummer surfaces associated with curves of genus 2. We also ob-tained some interesting results on K3 surfaces related to modular elliptic surfaces.
高次元代数多様体の有理点について
2007.4 - 2008.9
中央大学 中央大学特定課題研究費
代数曲面および高次元代数多様体の有理点について
2005.4 - 2006.9
中央大学 中央大学特定課題研究費
Special Linear System on an Algebraic Curve and its Application
Grant number：15540035 2003 - 2004
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) The University of Tokushima
OHBUCHI Akira, KATO Takao, KOMEDA Jiryo, HOMMA Masaaki, KUWATA Masato
Grant amount： \2700000 （ Direct Cost: \2700000 ）
Let W^r_d(C) be a scheme of line bundles defined by W^r_d(C)={L|L∈Pic^d(C),dimΓ(C,L)【greater than or equal】r+1} (usually, W^r_d(C) can be defined as a subscheme of Pic^d(C)). Kempf and Kleiman-Laksov prove that the variety W^r_d(C) has dimension at least p=g-(r+l)(g-d+r). Griffith-Harris and Fulton-Lazarsfeld prove that W^r_d(C) is smooth of dimension p=g-(r+1)(g-d+r) when C is a general curve in the moduli spaceM_g. "A general curve" means there is an open subset U⊂M_g inM_g, W^r_d(C) is smooth of dimension p=g-(r+1)(g-d+r) for any curve C∈U. So it is natural to ask to classify which curve belongs to this open subset U⊂M_g. As for this problem, we can give good sufficient conditions (No.2 and No.3).
For a finitely generated numerical semigroup which start from 4, Komeda proved that every such numerical semigroup H is Weierstrass, i.e. there is a pointed curve (C,P) such that the semigroup of non-gaps of P is just H. Unfortunatelly, in Komeda's argument, (C,P) is not constructive for some special type numerical semigroups, i.e. he uses some general theory of torus embedding and proved only the existence of (C,P). So it is very natural to ask whether a pointed curve (C,P) can be constructed concretely for this special type numerical semigroups. Our result is that we can construct (C,P) for such special type semigroup by using a double covering of hyperelliptic curve which is n-sheeted covering of another hyperelliptic curve.(No.1)
