東京学芸大学, 数学科教室（教育組織）, 教授

東京学芸大学, 自然科学系 数学講座 数学分野, 教授

博士(理学)

(自然科学一般) 幾何学

微分幾何学、特異点論、曲面論

座標幾何学演習
2009年05月, 竹内伸子, 泉屋周一, 村山光孝, 日科技連出版社

座標幾何学
2008年05月, 竹内伸子, 泉屋周一, 村山光孝, 日科技連出版社

別冊数理科学　2008年4月号「多様体の広がり」
2008年04月, 泉屋 周一, 竹内 伸子, III．曲面の魅力　「線織面の微分幾何と特異点」, サイエンス社

Proceedings of the Australian-Japanese Workshop, University of Sydney, Australia, 5-8 September 2005
2007年01月, Nobuko Takeuchi, Cyclides as surfaces which contain many circles, World Scientific Pub Co Inc., Real and Complex Singularities:Proceedings of the Australian-Japanese Workshop
Laurentiu Paunescu Adam Harris Toshizumi Fukui, Satoshi Koike (編集)

切って、見て、触れてよくわかる「かたち」の数学
2005年10月, 泉屋 周一, 竹内 伸子, 日科技連出版社

Applicable Mathematics in the Golden Age　 J. C. Misra（編集）
2003年04月, Shyuichi Izumiya , Nobuko Takeuchi, 12.Geometry of Ruled Surfaces, Narosa Publishing House, Delhi, India

かたちの事典 高木隆司（編集）
2003年03月, 竹内　伸子, 角,球,極小曲面,曲面,曲率,勾配,多様体,立体の断面, 丸善株式会社

数理科学　2001年2月号 「微分幾何の新世紀」
2001年02月, 泉屋 周一, 竹内 伸子, 線織面の微分幾何と特異点, サイエンス社

Primitivoids and inversions of plane curves
2020年04月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Beiträge zur Algebra und Geometrie, 61, 2, 10.1007/s13366-019-00472-9

Evoltoids and pedaloids of plane curves
2019年12月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Note di Matematica, 39, 2, 10.1285/i15900932v39n2p13

Flat surfaces along cuspidal edges
2017年05月, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, 共著, Journal of Singularities, 16, 10.5427/jsing.2017.16c

Geometric constructions of Blum surfaces which contain six circles through each point
2016年10月, Osamu Aoki and Nobuko Takeuchi, 共著, Bulletin of Tokyo Gakugei University, Division of Natural Sciences, 68

Clad helices and developable surfaces
2014年09月, Takeshi Takahashi, Nobuko Takeuchi, 共著, Bulletin of Tokyo Gakugei University, Division of Natural Sciences, 66

On a system of fifth-order partial differential equations describing surfaces containing two families of circular arcs
2014年01月, Kiyoomi Kataoka , Nobuko Takeuchi, 共著, Complex Variables and Elliptic Equations, Taylor & Francis, 59, 11

A system of fifth-order PDE’s describing surfaces containing 2 families of circular arcs and the reduction to a system of fifth-order ODE’s
2013年11月, Kiyoomi Kataoka, Nobuko Takeuchi, 共著, RIMS Kokyuroku, 1861

The non-integrability of some system of fifth-order partial differential equations describing surfaces containing 6 families of circles
2013年04月, Kiyoomi Kataoka, Nobuko Takeuchi, 共著, RIMS Kokyuroku Bessatsu, B40

A system of fifth-order partial differential equations describing a surface which contains many circles
2013年04月, Kiyoomi Kataoka,Nobuko Takeuchi, 共著, Bulletin des Sciences Mathématiques, Elsevier, 137, 3

A system of fifth-order nonlinear partial differential equations and a surface which contains many circles
2011年01月, Kiyoomi Kataoka, Nobuko Takeuchi, 共著, RIMS Kokyuroku, 1723

Surfaces which contain many circles
2008年12月, Nobuko Takeuchi, 単著, Geometry and topology of Caustics, Banach center publications, 82, 1

Circular surfaces
2007年06月, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, 共著, Advances Geometry, 7, 2

New special curves and developable surfaces
2004年04月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Turkish Journal of Mathematics, 28, 2

Singularities of line congruences
2003年11月, Shyuichi Izumiya, Kentaro Saji, Nobuko Takeuchi, 共著, Proceedings of the Royal Society of Edinburgh. Section A, 133, 6

Special curves and ruled surfaces
2003年01月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Beitrage zur Algebra und Geometrie. Contributions to Algebra and Geometry, 44, 1

Generic properties of helices and Bertrand curves
2002年11月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Journal of Geometry, 74

Singularities of ruled surfaces in R³
2001年01月, Shyuichi Izumiya, Nobuko Takeuchi, 共著, Mathematical Proceedings of Cambridge Philosphical Society, 130, 1

Cyclides
2000年02月, Nobuko Takeuchi, 単著, Hokkaido Mathematical Journal, 29, 1

A parametrization of a torus which contains six circles through each point
1998年08月, Hitoshi Kubosawa, Nobuko Takeuchi, 共著, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 50

A sphere can be characterized as a smooth ovaloid which contains one circle through each point
1994年03月, Koichi Ogiue, Nobuko Takeuchi, 共著, Journal of Geometry, 49

Hulahoop surfaces
1993年03月, Koichi Ogiue, Nobuko Takeuchi, 共著, Journal of Geometry, 46

A geometric construction of a torus which contains five circles through each point
1992年08月, Koichi Ogiue, Nobuko Takeuchi, 共著, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 44

A note on Ogiue-Takagi conjecture on a chracterization of Euclidean 2-spheres
1992年03月, Reiko Miyaoka, Nobuko Takeuchi, 共著, Kyushu University Series A Mathematics, Faculty of Science, Kyushu University, 46, 1

A surface which contains planar geodesics II
1991年03月, Nobuko Takeuchi, 単著, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 43

A surface which contains helical geodesics
1990年08月, Nobuko Takeuchi, Michiko Tamura, 共著, Bulletin of Tokyo Gakugei University. Series IV,Mathematics and natural sciences, 42

A sphere as a surface which contains many circles II
1989年03月, Nobuko Takeuchi, 単著, Journal of Geometry, 34

A surface which contains planar geodesics
1988年08月, Nobuko Takeuchi, 単著, Geometriae Dedicata, 27, 2

A closed surface of genus one in E³ cannot contain seven circles through each point
1987年05月, Nobuko Takeuchi, 単著, Proceedings of the American Mathematical Society, 100, 1

A sphere as a surface which contains many circles
1985年06月, Nobuko Takeuchi, 単著, Journal of Germetry, 24