Mohamed Aitnouh's research and publications

My research is focused on low-dimensional topology and geometry with focus on Knot theory. I was first drawn to this field by its visual nature and strong geometric flavor. Most of my research work is in Dehn surgery and dimension four topology and geometry. For more details, here are my research statement and my publications:

  • Research Statement

    • Courses

    Publications

    (1) Twisting of composite torus knots Michigan Mathematical Journal 66 (2017), 37-47.
    (2) The minimal genus problem in CP2#CP2 Algebraic & Geometric Topology 14, (2013), p. 101-999.
    (3) Genus and degrees of torus knots in CP2 Journal of Knot Theory and Its Ramifications, Vol. 18, No 9, September 2009, pp. 1299-1312.
    (4) (With D. Matignon and K. Motegi) Geometric types of twisted knots Annales mathématiques Blaise Pascal, 13 no. 1 (2006), pp. 31-85.
    (5) (With D. Matignon and K. Motegi) Obtaining graph knots by twisting unknots , Topology and Its Applications, Vol. 146-147,1, pp. 105-121, January 2005.
    (6) (With D. Matignon and K. Motegi) Knots obtained by twisting unknots, Acta of the Colloquium 'Topology of Knots VI' Nihon Univ. Dec. 16th-19th, 2003 (2004) pp. 151-160.
    (7) (With D. Matignon and K. Motegi) Twisted Unknots , C.R. Acad. Sci. Paris, Ser. I 337 (2003) pp. 321-326
    (8) (with D. Matignon and K. Motegi) Gromov volumes of twisted knots, Proceedings of Japan-Mexico Conference (published by Top. and its Applications), June 2002.
    (9) (with A. Yasuhara) Torus knots that can not be untied by twisting Revista Math. Univ. Compl. Madrid, Vol. 14, (2001), pp. 353-380.

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