Motoko Kotani

Professor 

 

E-mail  m-kotani(at)m.tohoku.ac.jp

 

 

 

 

 

PapersConferences

 

【Papers】

 

・Structure of h110i-tilt boundaries in cubic zirconia, Kazutoshi Inoue1, Bin Feng2, Naoya Shibata2, Motoko Kotani1, and Yuichi Ikuhara, J.Mater.Sci. Vol 52, 8, 4278–4287 (2017)

 

・Stereoisomerism in nanohoops with heterogeneous biaryl linkages of E/Z- and R/S-geometries, Sarkar, Parantap; Sun, Zhe; Tokuhira, Toshiki; Kotani, Motoko; Sato, Sota; Isobe, Hiroyuki, ACS Cent. Sci., 2016, 2 (10), pp 740–747

 

・Structural chemistry of belt-shaped cyclonaphthylenes: Stereoisomerism, crystal structures and dynamics, Zhe Sun,Takuya Suenaga,Parantap Sarkar,Sota Sato,Motoko Kotani,Hiroyuki Isobe, Proc Natl Acad Sci U S A. 2016 Jul 19;113(29):8109-14.

 

・Motoko Kotani and Susumu Ikeda, Materials inspired by mathematics, Science and Technology of Advanced Materials (STAM),17(1),(2016),253-259

 

・Phase behavior of a binary fluid mixture of quadrupolar molecules, Masatoshi Toda, Shinji Kajimoto,Shuichi Toyouchi,Toshihiro Kawakatsu, Yohji Akama, Motoko Kotani, and Hiroshi Fukumura、PHYSICAL REVIEW E 94, 052601 (2016)

 

・Visualization of topological landscape in shear-flow dynamics of amorphous solids by Takeshi Fujita, Koji Ohara, Keiji Miura, Akihiko Hirata, Motoko Kotani, Yasumasa Nishiura and Mingwei Chen, EPL, 110, 3 (2015) 38002

 

・The Decomposition Formula of < 001 > Symmetrical Tilt Grain Boundaries, Inoue, Kazutoshi; Saito, Mitsuhiro; Wang, Zhongchang; Kotani, Motoko; Ikuhara, Yuichi, MATERIALS TRANSACTIONS 56(2015)-12, 1945-1952

 

・On the periodicity of < 001 > symmetrical tilt grain boundaries, K. Inoue, M. Saito, Z. Wang, M. Kotani, Y. Ikuhara, Mater. Trans.56-3(2015), 281-287

 

・A new direction in mathematics for materials science, Ikeda, Susumu, Kotani, Motoko, Springer Briefs in the Mathematics of Materials, vol.1, Springer, 2015, 1-86

 

・Long time asymptotics of non-symmetric random walks on crystal lattices, Journal of Functional Analysis, S.Isshiwata, H.Kawabi, M.Kotani (https://arxiv.org/abs/1510.05102)  (Submitted on 17 Oct 2015)

 

・Quantization of interface currents, Motoko Kotani, Hermann Schultz-Baldes, Carlos Villegas-Blas, Journal of Mathematical Physics 55/12(2014) 002412JMP

 

・Negatively curved cubic carbon crystals with octahedral symmetry, M. Tagami, Y. Liang, H. Naito, Y. Kawazoe, M. Kotani, Carbon76(2014), 266–274

 

・Geometric measures of finite carbon nanotube molecules: A proposal for length index and filling indexes, T. Matsuno, H. Naito, S. Hitosugi, S. Sato, M. Kotani, H. Isobe. Pure and Appl. Chem.,2014, 86, (4), 489-495

 

・Mesoscopic Dynamics of Laser-Induced Phase Separation in Water and 2-Butoxyethanol Mixtures Revealed by Nanosecond Time-Resolved Light Scattering : Authors: Toyouchi, Shuichi; Kajimoto, Shinji; Toda, Masatoshi; Kawakatsu, Toshihiro; Akama, Yohji; Kotani, Motoko; Fukumura, Hiroshi, Chemistry Letters, 2014

 

・Geometric frustration of icosahedron in metallic glasses, A. Hirata, L. J. Kang, T. Fujita, B. Klumov, K. Matsue, M. Kotani, A. R. Yavari, M. W. Chen, Science 341(6144),376-379, Science 26 Jul 2013

 

・New Growth Mechanism of Cubic Rh Clusters Composed of 812 Atoms Found by the Method of Euclidean Designs, M. Tagami, Y. Liang, H. Naito, Y. Kawazoe, M. Kotani, Mater. Trans., 53 459-462 (2012).

 

・Motoko Kotani, M. Hino, T. Kumagai, Mathematical Society of Japan, Advanced Studies in Pure Mathematics 57, Probabilistic Approach to Geometry, 2010, 514 pages

 

・M. Kotani, M. Hino and T. Kumagai, Probabilistic Approach to Geometry, ASPM 157(2010)

 

・New metallic carbon crystal, Masahiro Itoh, Motoko Kotani, Hisashi Naito, Toshikazu Sunada, Yoshiyuki Kawazoe, and Tadafumi Adschiri, Phys. Rev. Lett. 102 (2009), 055703

 

・M. Kotani, H. Naito and T. Tate, Spectral Analysis in Geometry and Number Theory - Contemporary Mathematics 484(2009). American Mathematical Society

 

・J.-P. Bourguignon, M. Kotani, Y. Maeda and N. Tose, Noncommutativity and Singularities, Proceedings of French--Japanese symposia held at IHES in 2006,ASPM 155(2009)

 

・Large deviation and the tangent cone at infinity of a crystal lattice, M. Kotani and T. Sunada, Math.Z. 254(2006), pp 837-870.

 

・M. Kotani, Discrete geometrical analysis from the viewpoint of crystal lattices, Sugaku Expositions 19 (2006), 117-134.

 

・M. Kotani, An asymptotic of the large deviation for random walks on a crystal lattice, Contemporary Math. 347(2004), 141-152.

 

・M. Kotani and T. Sunada, Spectral geometry of crystal lattices, Contemporary Math. 338(2003), 271-306.

 

・Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice, Motoko Kotani, J.Geom.Phys.47(2003), 323-342.

 

・M. Kotani and T. Sunada Geometrical aspect of large deviation for random walks on a crystal lattice, Microlocal analysis and complex Fourier analysis, World Sci. Publ., River Edge, NJ,(2002), 215-223

 

・M. Kotani, Discrete geometrical analysis from the viewpoint of crystal lattices. (Japanese) Sugaku 54 (2002), 348-364.

 

・A central limit theorem for magnetic transition operators on a crystal lattice, Motoko Kotani, J. London Math.Soc. 65(2002), 464-482.

 

・M. Kotani, T. Shirai and T. Sunada, Discrete geometric analysis. Proceedings of the 1st JAMS Symposium held in Sendai, December 12-20, (2002) Contemporary Mathematics 347. American Mathematical Society.

 

・The pressure and higher correlations for an Anosov diffeomorphism, M. Kotani and T. Sunada, Ergod.Th.Dynam.Sys. 21(2001), 807-821.

 

・M. Kotani, A note on asymptotic expansions for closed geodesics in homology classes, Math.Ann. 320(2001), 507-529.

 

・Zeta functions of finite graphs, M. Kotani and T. Sunada, J. Math. Sci. Univ. Tokyo 7(2000), 7-25.

 

・Albanese maps and off diagonal long time asymptotics for the heat kernels, M. Kotani and T. Sunada, Comm.Math.Phys.209(2000),633-670.

 

・M. Kotani and T. Sunada, A central limit theorem for the simple random walk on a crystal lattice in Proceedings of the Second ISAAC Congress 1-7 Kluwer Academic Publishers, (2000)

 

・Standard realization of crystal lattice via harmonic maps, M. Kotani and T. Sunada, Trans.Amer.Math.Soc.353(2000), 1-20

 

・M. Kotani and T. Sunada, Jacobian tori associated with a finite graph and its abelian covering graphs, Adv.in Appl.Math.24(2000), 89-110

 

・Asymptotic behavior of the transition probability of a random walk on an infinite graph, M. Kotani, T. Shirai and T. Sunada, J.Funct.Anal.159 (1998), 664-689.

 

・M. Kotani, Harmonic 2-spheres with r pairs of extra eigenfunctions, Proc. Amer. Math. Soc. 125(1997), 2083-2092.

 

・M. Kotani, Connectedness of the space of minimal 2-spheres in S2m(1),  Proc. Amer. Math.Soc.120(1994), 803-810.

 

・M. Furuta, M. Guest and Y. Ohnita, M. Kotani, On the fundamental group of the space of harmonic 2-spheres in the n-sphere, Math.Z.215(1994), 503-518.

 

・M. Kotani, N. Ejiri, Index and flat ends of minimal surfaces, Tokyo J. Math. 16(1993), 37-48.

 

・M. Kotani, N. Ejiri, Minimal surfaces in S2m(1) with extra eigenfunctions, Quart. J. Math. Oxford 43(1992), 421-440.

 

・M. Kotani, A decomposition theorem of 2-type immersion, Nagoya Math. J.118(1990), 55-64.

 

・M. Kotani, An immersion of an n-dimensional real space form into an n-dimensional complex space form, Tokyo J. Math. 9(1986), 103-113.

 

・M. Kotani, The first eigenvalue of homogeneous minimal hypersurfaces in a unit sphere Sn+1(1), Tohoku Math. J. 37(1985), 523-532.

 

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【Conferences】

 

・M. Kotani, Topological matter, strings, K-theory and rekated areas, Adelaide, Australia, 2016.9

 

・M. Kotani, 16th Computational and Mathematical Methods in Science and Engineering, Costa Ballena, Spain, 2016.7

 

・M. Kotani, Japanese Swiss Energy Materials Workshop, EMPA,

Switzerland, 2016.3

 

・Motoko Kotani, “Mathematical challenge to structural understanding of materials”, 2nd International Symposium on Frontiers in Materials Science (FMS), Waseda University, Tokyo, 2015.11

 

・Motoko Kotani,“Mathematical challenge to structural understanding of Materials”,  Geometric analysis in geometry and topology 2015, Morito Memorial Hall, Tokyo University of Science, Tokyo, Japan, 2015.11

 

・M. Kotani, “Mathematical challenge to structural understanding and structure of materials”, 15th International Conference Computational and Mathematical Methods in Science and Engineering, Costa Ballena, Spain, 2015.7

 

・M. Kotani, “Mathematical Challenge to Structural Understanding of Materials” Mathematics of Novel Materials, Mittag-Leffler Institute, Djursholm, Sweden, 2015.6

 

・M. Kotani, WE-Heraeus Seminar, Physikzentrum Bad Honnef, Germany, 2015.4

 

・Motoko KOTANI, “Mathematical challenge to structural understanding of materials”, 2015 East Asian Core Doctorial Forum on Mathematics, National Taiwan University, Taipei, Taiwan, 2015.1

 

・Motoko Kotani, “Structural Understanding of Materials-Collaboration Between Mathematics and Materials Science”, 150 years of beautiful structures and defects, Vietnam National University, Ho Chi Minh City, Vietnam, 2014.11

 

・Motoko Kotani, “Discrete geometric analysis applied to structural understanding of materials”, Inverse Problems and Spectral Theory, Texas A&M University, USA, 2014.10

 

・Motoko Kotani,“Discrete Geometric Analysis applied to structural understanding of Materials” Groups, Graphs, and Random Walks, Villa Passerini ("Il Palazzone") in Cortona, Italy, 2014.6.2-3

 

・Motoko Kotani,“Discrete Geometric Analysis applied to structural understanding of Materials”, Canberra - Japan Meeting, Pattern Formation: Mathematics and Materials, The Australian National University, Canberra, Australia, 2014.4.29-30

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, The Fourth Conference of Tsinghua Sanya International Mathematics Forum, 2013.12, Mathematical Science Center, Sanya, China

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, Tohoku University Forum at UCL, University College London, London, UK, 2013.11.21-23

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, CAMP opening symposium, National Institute for Mathematical Sciences, Daejeon, Korea, 2013.11

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, 2013.9.11-13, HeKKSaGOn University Consortium The 3rd Japanese-German University President's Conference, The University of Goettingen, Goettingen, Germany

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials” and “A mathematical challenge to a new phase of materials science”, Key note talk at “Connections 2013 Symposium: Crossing Boundaries with Informatics – from Basic Science to Social Infrastructure”, Cosmos Club Washington DC, USA, 2013.7.8-7.10

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, Joint International Meeting of the AMS and the Romanian Mathematical Society, University of Alba Iulia, Alba Iulia, Romania, 2013.6.27-30

 

・Motoko Kotani, A. Hirata L. J. Kang1, T. Fujita, B. Klumov, K. Matsue, A. R. Yavari, M. W. Chen, “Mathematical challenge to a new phase of materials science based on discrete geometric analysis”, Joint International Meeting of the American Math. Society and the Romanian Math. Society, University of Alba Iulia, Alba Iulia, Romania, 2013.6

 

・Motoko Kotani, “Discrete Geometric Analysis applied to structural understanding of Materials”, The 1st WPI workshop on materials science / 10th France-Japan Workshop on Nanomaterials, Kyoto University, Kyoto, Japan, 2013.6

 

・Motoko Kotani, A mathematical challenge to materials science, The Seventh General Meeting of Asian Consortium on Computational Materials Science-Virtual Organization,Hotel Matsushima Taikanso, Miyagi, Japan, 2012.11

 

・Motoko Kotani, A mathematical challenge to materials science,Workshop on Stochastic Analysis and Related Topics, AMSS, Chinese Academy of Sciences, Beijing, China, 2012.11.8

 

・Motoko Kotani, A mathematical challenge to materials science, 2012 International Conference on Modeling, Analysis and Simulation(ICMAS), Meiji University, Tokyo, Japan, 2012.11

 

・Motoko Kotani, A mathematical challenge to materials science, RIMS Workshop, Discrete Geometric Analysis, Kyoto University, Kyoto, Japan, 2012.8

 

・Motoko Kotani, A mathematical challenge to materials science, Topology and Functional Analysis 2012, Fudan University, Shanghai, China, 2012.5

 

・Motoko Kotani, Geometry and Analysis, International Conference “Geometry and Analysis”, 2009.12.21, Paris 7, Paris, France

 

・Motoko Kotani, Geometry of crystal lattices, Series of Lectures, 2009.11.2, University of Hokkaido

 

・Motoko Kotani, Mathematical challenge to a new phase of material sciences, Workshop “Boundaries”, 2009.7.1, Graz University of Technology, Graz, Austria

 

・Motoko Kotani, A mathematical challenge to material sciences, Colloqium talk, 2009.3.18, Technische Universitaet Graz, Austria

 

・Motoko Kotani, Geometric aspect of random walk on a crystal lattice, Algebras, Operators and Noncommutative Geometry, 2008.12.1, Australian national University Australia, Australia

 

・Motoko Kotani, Geometric aspect of random walk on a crystal lattice, Perspectives in mathematical sciences, 2008.10.8, Tokyo University

 

 

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【Latest News】

・Recruitment information have posted
Positon:Assistant Professor

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・Forum in Alliance between Mathematics and Sciences for Creativity
Date:12/8/2017 ~12/9/2017
Place:Tohoku Forum for Creativity, Tohoku University

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・AIMR Math Group Seminar #9 Date:11/24/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #8 Date:10/27/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #7 Date:10/6/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #6 Date:8/24/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #5 Date:7/28/2017  
Place: 3C, AIMR Main Building, Tohoku University

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Mini Workshop:Mathematical Aspects of Topological Phases of Matter and Quantum Computing
Date:7/24/2017 ~7/25/2017  
Place: 2F Seminar Room, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #4 Date:7/14/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #3 Date:6/23/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #2 Date:6/2/2017  
Place: 3C, AIMR Main Building, Tohoku University

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・AIMR Math Group Seminar #1 Date:5/19/2017  
Place: 3C, AIMR Main Building, Tohoku University

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