Published papers

• Ranks of elliptic curves in cyclic sextic extensions of Q
  H. Kisilevsky and M. Kuwata
  Indagationes Mathematicae    xxx--xxx  (2024)
  Article
  
• Mordell-Weil lattice of Inose's elliptic K3 surface arising from the product of 3-isogenous elliptic curves
  M. Kuwata and K. Utsumi
  J. Number Theory  190  333--351  (2018)
  Article
  
• Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited
  A. Kumar and M. Kuwata
  Higher genus curves in mathematical physics and arithmetic geometry  Contemp. Math.  703  131--141  (2018)
  Amer. Math. Soc., Providence, RI 
  Article
  
• Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition
  A. Kumar and M. Kuwata
  Nagoya Math. J.  228  124--185  (2017)
  Article
  
• Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves
  J. Fearnley and H. Kisilevsky and M. Kuwata
  J. Lond. Math. Soc. (2)  86  539--557  (2012)
  Article
  
• Elliptic parameters and defining equations for elliptic fibrations on a Kummer surface
  M. Kuwata and T. Shioda
  Algebraic geometry in East Asia---Hanoi 2005  Adv. Stud. Pure Math.  50  177--215  (2008)
  
• Equal sums of sixth powers and quadratic line complexes
  M. Kuwata
  Rocky Mountain J. Math.  37  497--517  (2007)
  Article
  
• Quadratic twists of an elliptic curve and maps from a hyperelliptic curve
  M. Kuwata
  Math. J. Okayama Univ.  47  85--97  (2005)
  
• Twenty-eight double tangent lines of a plane quartic curve with an involution and the Mordell-Weil lattices
  M. Kuwata
  Comment. Math. Univ. St. Pauli  54  17--32  (2005)
  
• Points defined over cyclic quartic extensions on an elliptic curve and generalized Kummer surfaces
  M. Kuwata
  Galois theory and modular forms  Dev. Math.  11  65--76  (2004)
  Article
  
• A singular K3 surface related to sums of consecutive cubes
  M. Kuwata and J. Top
  Indag. Math. (N.S.)  11  419--435  (2000)
  Article
  
• Elliptic K3 surfaces with given Mordell-Weil rank
  M. Kuwata
  Comment. Math. Univ. St. Paul.  49  91--100  (2000)
  
• Elliptic fibrations on quartic K3 surfaces with large Picard numbers
  M. Kuwata
  Pacific J. Math.  171  231--243  (1995)
  Article
  
• Generalized Artin's conjecture for primitive roots and cyclicity mod of elliptic curves over function fields
  D. A. Clark and M. Kuwata
  Canad. Math. Bull.  38  167--173  (1995)
  Article
  
• An elliptic surface related to sums of consecutive squares
  M. Kuwata and J. Top
  Exposition. Math.  12  181--192  (1994)
  
• Topology of rational points on isotrivial elliptic surfaces
  M. Kuwata and L. Wang
  Internat. Math. Res. Notices    113--123  (1993)
  Article
  
• Ramified primes in the field of definition for the Mordell-Weil group of an elliptic surface
  M. Kuwata
  Proc. Amer. Math. Soc.  116  955--959  (1992)
  Article
  
• The field of definition of the Mordell-Weil group of an elliptic curve over a function field
  M. Kuwata
  Compositio Math.  76  399--406  (1990)
  Article
  
• The canonical height and elliptic surfaces
  M. Kuwata
  J. Number Theory  36  201--211  (1990)
  Article
  
• Intersection homology of weighted projective spaces and pseudo-lens spaces
  M. Kuwata
  Pacific J. Math.  133  355--362  (1988)
  Article