Algebraic geometry and its application to cryptography
Mathematics education at university level
Web-based learning system for college mathematics
Articles(English article)
"A Criterion for Algebraicity of Certain Analytic Elliptic Surfaces"
(Mathematische Annalen, 303 (1995) pp.771-779)
"Projectivity of Torus Fibre Spaces over Curves and Multiple Fibres"
(International Journal of Mathematics, 7 (1996) pp.183-192)
"Multiple Fibers on Elliptic Surfaces in Positive Characteristic"
(J. Math. Kyoto Univ. 40 (2000) pp.185-202)
"A Note on Purely Inseparable Morphisms from an Elliptic Ruled Surface"
(Arch. Math. 75(6) (2000) pp.422-429)
"Counting Points for Hyperelliptic Curves of type y2 =x5 +ax over Finite Prime Fields"
(joint work with E.Furukawa and T.Takahashi,
Springer LNCS 3006 "Selected Areas in Cryptography(SAC2003)", 2004, pp.26-41)
"Comparison between XL and Gröbner Basis Algorithms"
(with G.Ars, J.-C. Faugère, H.Imai and M.Sugita;
Springer LNCS "Advance in Cryptology -- ASIACRYPT 2004" 3329, pp.338-352
)
"Suitable Curves for Genus-4 HCC over Prime Fields:
Point Counting Formulae for Hyperelliptic Curves of type y2 =x2k+1+ax"
(joint work with M.Haneda and T.Takahashi,
IACR ePrint Archive 2004/151 ,
Springer LNCS 3580 "Proceedings of ICALP 2005" (2005), pp. 539-550
)
"Multiple Supersingular Elliptic Fibres of Elliptic Surfaces"
(J. Pure and Appl. Alg. 204(3) (2006), pp. 602-615)
"Relation between XL algorithm and Gröbner Bases Algorithms"
(joint work with M.Sugita and H.Imai,
IEICE Trans. E89-A No.1 (2006), pp. 11-18
)
"Algebraic cryptanalysis of 58-round SHA-1"
(joint work with M.Sugita, L.Perret and H.Imai,
Springer LNCS 4593 "FSE 2007" (2007), pp. 349-365
)
"Pairing-Friendly Elliptic Curves with Small Security Loss by Cheon's Algorithm"
(joint work with A.Comuta and T.Takahashi,
Springer LNCS 4817 "ICISC 2007" (2007), pp. 297-308
)
"Pairing-friendly hyperelliptic curves with ordinary Jacobians of type y2 =x5 +ax",
(joint work with T.Takahashi,
Springer LNCS 5209 "Pairing 2008" (2008), pp. 164-177;
the extended version is available at
IACR ePrint Archive 2008/026
)
"Construction of Pairing-Friendly Hyperelliptic Curves Based
on the Closed Formulae of the Order of the Jacobian Group"
(joint work with A.Comuta, T.Takahashi and I.Yoshizawa,
IEICE Transactions on Fundamentals of Electronics,
Communications and Computer Sciences E93.A (2010), No. 6,
pp. 1132-1139
)
"A Development of Mathematical Mental Representation Test for University Students",
(M.Kawazoe and M.Okamoto)
Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (PME36),
Vol.1, p.245, 2012.
"Web-based system for after-class learning in college mathematics via computer algebra system",
(M.Kawazoe, T.Takahashi and K.Yoshitomi)
Proceedings of the 6th East Asia Regional Conference on Mathematics Education, Vol.2, 476-485, 2013.
"Students' mental representations of geometric vectors and sets related to linear algebra",
(M.Kawazoe, M.Okamoto and T.Takahashi)
Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education (PME38),
Vol.6, p.126, 2014.
Slides
"A continuity or discontinuity from whole number to decimal fraction and fraction in elementary school in Japan" ,
(M.Okamoto, M.Kawazoe, A.Kojima and S.Makioka)
Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education (PME38),
Vol.6, p.374, 2014.
"E-learning/e-assessment systems based on webMathematica for university mathematics education",
(M.Kawazoe and K.Yoshitomi)
MSOR Connections, Special Issue: E-assessment in mathematical sciences, Vol.15, No. 2, pp.17-24, 2017.
DOI: http://dx.doi.org/10.21100/msor.v15i2.416
"A Practical Study of a Design of University Mathematics Courses for the Humanities and Social Sciences Students",
(M.Kawazoe and M.Okamoto),
In Dooley, T., & Gueudet, G. (Eds.). (2017).
Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (CERME10, February 1-5, 2017) (pp.2302-2303).
Dublin, Ireland: DCU Institute of Education and ERME.
"Students' Conception of Spanned Space and Its Relation to Conception of Linear Independence"
(M.Kawazoe),
In Bergqvist, E., Österholm, M., Granberg, C., & Sumpter, L. (Eds.). (2018).
Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 5, p.82).
Umeå, Sweden: PME.
"Developing a math e-learning question specification to facilitate sharing questions between different systems"
(M.Kawazoe, K.Yoshitomi, Y.Nakamura, T.Fukui, S.Shirai, T.Nakahara, K.Kato, T.Taniguchi),
MSOR Connections, Vol. 17, No. 3, pp.49-56, 2019.
DOI: https://doi.org/10.21100/msor.v17i3.990
"How to assess students’ learning in mathematics literacy education: An attempt to use students’ comments for assessment"
(M.Kawazoe),
In: U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.).
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (p.2542-2543), 2019.
Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
PDF available online
"Relation between understandings of linear algebra concepts in the embodied world and in the symbolic world"
(M.Kawazoe), [Conference Paper version],
In T. Hausberger, M. Bosch & F. Chellougui (Eds.),
Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020) (pp. 348-357).
Bizerte, Tunisia: University of Carthage and INDRUM. PDF available online
"A Practical Report on Mathematical Modelling Education for Humanities and Social Sciences Students" (M. Kawazoe),
Hiroshima Journal of Mathematics Education, Vol.15 (2), (November, 2022), pp.141-153.
PDF available online .
"Change of math anxiety in mathematics course for non-STEM university students in Japan",
(T.Oguro, M.Okamoto, M.Kawazoe, K.Yoshitomi),
In Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM2022, 19-22 October 2022),
pp.676-678. 2023.
PDF available online
"Relation between understandings of linear algebra concepts in the embodied world and in the symbolic world"
(M.Kawazoe), an extended version of the paper presented at INDRUM2020,
Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur (EpiDEMES), 2023(Mar. 30).
PDF available online