Professor

Teruaki Kitano

Profile

Faculty of Science and Engineering Department of Information Systems Engineering

Graduate School of Science and Engineering Information Systems Science Major

Specialized Field	Geometry
Research theme	Topological invariants of 3-manifolds
Subjects in charge	General Basic Exercises, Calculus I, Theory of Complex Functions, Introduction to Geometry, Topology, History of Mathematics, Logic and Sets, Case Studies I and II, Graduation Research I and II, Exercises I and II

Specialized Field	Low-dimensional topology, topological invariants of manifolds
Subjects in charge	Calculus I, Introduction to Geometry
Main career, work history, and academic background	Born in Yamaguchi, Japan, September 1965. March 1988 Graduated from Chuo University Faculty of Science and Engineering Department of Mathematics Mar. 1994 Completed Doctoral program in Mathematics at Tokyo Institute of Technology Graduate School of Science and Engineering Degree Doctor of Science April 1994 Research Fellow of the Japan Society for the Promotion of Science Apr 1995 Research Assistant, Faculty of Science, Tokyo Institute of Technology 1996-1998 JSPS Postdoctoral Fellowship for Research Abroad Oct 2002 Professor, Tokyo Institute of Technology, Graduate School of Information Graduate School of Science and Engineering Assistant Lecturer Apr. 2006 Faculty of Engineering, Soka University Assistant Lecturer Professor Apr 2009 Professor, Soka University Apr. 2021 Present Graduate School of Science and Engineering Director
Affiliated academic societies and organizations	The Mathematical Society of Japan
Main Papers and Publications	book: (1) Akio Kitano, Hiroshi Goda, and Takayuki Morito Twisted Alexander invariants, p. 183, Mathematics Memoir Volume 5, Mathematical Society of Japan. (2) Osamu Watanabe, Akira Kitano, Yasunori Kimura, Masaharu Taniguchi, Mathematical language and logic, Asakura Publishing Co., Ltd. Modern Basic Mathematics Series 1 Main publications (since 2005): (1)H. GODA, T. KITANO and T. MORIFUJI; Reidemeister torsion, twisted Alexander polynomial and fibered knots, Comment. Math. Helv. 80(2005), 51--61. (2)T.KITANO and T. MORIFUJI; Divisibility of twisted Alexander polynomials and fiberd knots, Annali della Scuola Normale Superiore, 5(2005), 179--186. (3)T. KITANO, M. SUZUKI and M. WADA; Twisted Alexander polynomials and surjectivity of a group homomorphism, Algebr. Geom. Topol. 5 (2005), 1315--1324. (4)T. KITANO and M. SUZUKI; A partial order in the knot table, Exp. Math. 14(2005), 385--390. (5)T. KITANO and M. SUZUKI; On the existence of a surjective homomorohism between knot groups, in Intelligence of Low Dimensional Topology 2006. World Scientific. (6)T. KITANO and M. SUZUKI; Twisted Alexander polynomials and a partial order on the set of prime knots, Geometry and Topology Monographs 13 (2008), Groups, Homotopy and Configuration Spaces (Tookyo 2005), 307--322. (7)T. KITANO and T. MORIFUJI; $L^2$-torsion invariants and the Magnus representation of the mapping class group, Groups of Diffeomorphisms, Advanced Studies in Pure Mathematics Volume 52 (2008), Math. Soc. of Japan. (8)T. KITANO and M. SUZUKI; A Partial Order in the Knot Table II, Acta Mathematica Sinica 24 (2008), 1801--1816. (9)T. Kitano, Teruaki and M. Suzuki, On the number of SL(2;Z/pZ)-representations of knot groups. J. Knot Theory Ramifications 21 (2012), no. 1, 1250003, 18 pp. (10)T. Kitano and T. Morifuji, Twisted Alexander polynomials for irreducible SL(2,C)-representations of torus knots. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11 (2012), no 2, 395–406. (11)A. Kitano, Twenty years of twisted Alexander polynomials: refinement of Alexander polynomials and their applications, Sugaku, 65 (2013), no. 4, 360–384.

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