Motoko Kotani
Principal Investigator
E-mail motoko.kotani.d3[at]tohoku.ac.jp
・Linear regression model for metal–organic frameworks with CO2 adsorption based on topological data analysis, Kazuto Akagi, Hisashi Naito, Takafumi Saikawa, Motoko Kotani & Hirofumi Yoshikawa, Sci Rep 14, 12021 (2024).
・A Weierstrass Representation Formula for Discrete Harmonic Surfaces, Motoko Kotani, Hisashi Naito, SIGMA 20, 034 (2024)
・A mathematical model of thermoplastic elastomers for analysing the topology of microstructures and mechanical properties during elongation, Hiroki Kodama, Hiroshi Morita, Motoko Kotani, Proc. R. Soc. A 480, 2286(2024)
・Prominent Structural Dependence of Quantum Capacitance Unraveled by Nitrogen‐Doped Graphene Mesosponge, Rui Tang, Alex Aziz, Wei Yu, Zheng-Ze Pan, Ginga Nishikawa, Takeharu Yoshii, Keita Nomura, Erin E. Taylor, Nicholas P. Stadie, Kazutoshi Inoue, Motoko Kotani, Takashi Kyotani, Hirotomo Nishihara, small, 2023
・Edge-Site-Free and Topological-Defect-Rich Carbon Cathode for High-Performance Lithium-Oxygen Batteries, Wei Yu, Takeharu Yoshii, Alex Aziz, Rui Tang, Zheng-Ze Pan, Kazutoshi Inoue, Motoko Kotani, Hideki Tanaka, Eva Scholtzová, Daniel Tunega, Yuta Nishina, Kiho Nishioka, Shuji Nakanishi, Yi Zhou, Osamu Terasaki, Hirotomo Nishihara, Adv Sci (Weinh) , e2300268(2023)
・Capacitance of edge-free three-dimensional graphene: New perspectives on the design of carbon structures for supercapacitor applications , Rui Tang, Keita Nomura, Kazutoshi Inoue, Motoko Kotani, Takashi Kyotani, Hirotomo Nishihara, Electrochimica Acta 429(2022)
・Coexistence of Urbach‐Tail‐Like Localized States and Metallic Conduction Channels in Nitrogen‐Doped 3D Curved Graphene, Yoichi Tanabe, Yoshikazu Ito, Katsuaki Sugawara, Samuel Jeong, Tatsuhiko Ohto, Tomohiko Nishiuchi, Naoaki Kawada, Shojiro Kimura, Christopher Florencio Aleman, Takashi Takahashi, Motoko Kotani, Mingwei Chen, Advanced Materials 34 2205986 (2022)
・Arrangement of polyhedral units for [0001]-symmetrical tilt grain boundaries in zinc oxide, Kazutoshi Inoue, Ji-Young Roh, Kazuaki Kawahara, Mitsuhiro Saito, Motoko Kotani, Yuichi Ikuhara, Acta Materialia 212, 116864-116864(2021)
・Geometric model of 3D curved graphene with chemical dopants, Andreas Dechant, Tatsuhiko Ohto, Yoshikazu Ito, Marina V. Makarova, Yusuke Kawabe, Tatsufumi Agari, Hikaru Kumai, Yasufumi Takahashi, Hisashi Naito, Motoko Kotani, Carbon, Vol 182, 2021, Pages 223-232 (2021)
・3D arrangement of atomic polyhedra in tilt grain boundaries, Kazutoshi Inoue, Kazuaki Kawahara, Mitsuhiro Saito, Motoko Kotani, Yuichi Ikuhara, Acta Materialia, Vol 202, 1 Jan 2021, Pages 266-276 (2020)
・A nitrogen-doped nanotube molecule with atom vacancy defects, Koki Ikemoto, Seungmin Yang, Hisashi Naito, Motoko Kotani, Sota Sato & Hiroyuki, Nat. Commun. Vol. 11, 1807 (2020)
・Recoverably and destructively deformed domain structures in elongation process of thermoplastic elastomer analyzed by graph theory, H. Morita, A. Miyamoto, M. Kotani, Polymer 188 122098(2020)
・Phase Separation Dynamics of a Binary Fluid with a Closed-Loop Phase Diagram, Masatoshi Toda , Shinji Kajimoto , Shuichi Toyouchi , Toshihiro Kawakatsu, Yohji Akama, Motoko Kotani, and Hiroshi Fukumura, J. Phys. Soc. Jpn. 88, 024007(2019)
・Time-Resolved Structured Illumination Microscopy for Phase Separation Dynamics of Water and 2-Butoxyethanol Mixtures: Interpretation of "Early Stage" Involving Micelle-Like Structures, Shuichi Toyouchi, Shinji Kajimoto, Masatoshi Toda, Toshihiro Kawakatsu, Yohji Akama, Motoko Kotani, and Hiroshi Fukumura, The Journal of Physical Chemistry, 3 Dec 2018
・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.
・Materials inspired by mathematics, Motoko Kotani and Susumu Ikeda, 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.
・Open Science in the International Science Council, International Symposium on Open Science Clouds (ISOSC), 2023.9, keynote speech
・Gender diversity in Japanese concept, ICIAM 2023 TOKYO, 2023.8
・Discrete geometric analysis and its application to materials science, The first International Congress of Basic Science (ICBS), 2023.7,Plenary Lecture
・Discrete surface theory, and convergence of sequence of subdivided discrete surfaces, The 3rd Shot of The 13th MSJ-SI, “Differential Geometry and Integrable Systems”, 2023.3
・Discrete Geometric Analysis for Materials, Interdisciplinary Science Conference in Okinawa (ISCO 2023) — Physics and Mathematics meet Medical Science —, 2023.2
・The responsibility of science, entrusted to us by society, the 9th International Conference on Flood Management (ICFM9), 2023.2, Keynote speech, online
・Science for Diplomacy Through my lens as Co-Advisor on S&T to Japanese FM, COMMITTEE OF WORLD SCIENCE FORUM 2022, CAPE TOWN INTERNATIONAL CONVENTION CENTRE (CTICC), 2022.12, Plenary session
・Discrete Surface Theory, and convergence of sequence of subdivided discrete surfaces, HCM Conference: From Dirichlet Forms to Wasserstein Geometry, Mathematical Lecture Hall Building , 2022.9, Plenary lecture
・Perspectives and challenges towards open academic cooperation with trust, Fifth South Africa – Japan University Forum Conference(SAJU 5), 2022.7, Keynote lecture, online
・Discrete geometric analysis and its application, Catch-All Mathematical Colloquium, OIST, 2022.7, online
・Mathematics, a Common Language of Science in History and in the Digital Era, Breaking barriers for gender equity through research, online, 2022.3, Keynote speaker
・Keynote address: Whole-of-government approaches in STI policymaking, OECD TIP workshop, Strategic approaches for future transitions: How to improve effective collaborations in policymaking, 2022.4, online
・Mathematics, a Common Language of Science in History and in the Digital Era, Breaking barriers for gender equity through research, online, 2022.3, Keynote speaker
・Non Commutative Geometry and Topological Phase, Indo Japan Joint Workshop on Quantum Computation & Information, Indian Statistical Institute, Kolkata(India), 2020.1
・Mathematical challenges for materials design, Frontiers in Mathematical Science Research Workshop, Shanghai University (China), 2019.9
・MATHEMATICAL CHALLENGES FOR MATERIALS DESIGN BASED ON DISCRETE GEOMETRIC ANALYSIS, 2019 KWMS International Conference, Seoul National University (South Korea), 2019.8
・Motoko Kotani, Non commutative geometry for Topological Phase, In and around Topological Physics, BICMR (Beijing International Center for Mathematical Research), Peking University(China), 2019.7
・Motoko Kotani, Discrete geometric analysis for materials research , ICCM2019, Tsinghua University, 2019.6.9
・Motoko Kotani , Materials research in the digitalized society , World Premier Research in Japan Symposium, UC Berkeley & Stanford University, 2019.1.25
・Motoko Kotani, Mathematical challenge to understand Materials structure, 2018 Taiwan Mathematical Society Annual Meeting, National Taiwan Normal University, 2018.12
・Motoko Kotani, Key Messages from Concurrent Sessions AI/IoT/Robotics, STS forum Annual Meeting, Kyoto, Japan, 2018.10
・Mathematical challenges for materials design, Total Energy and Force Methods 2018 Workshop, Selwyn College, Cambridge University, 2018.1
・AIMR's challenge based on Mathematics and Materials collaboration, Tsinghua-Tohoku Joint Workshop on Material and Spintronics Sciences, Tsinghua University, 2017.12
・Mathematical challenge for materials science, 2017 Dasan Conference Mathematical Challenges and Industrial Problem Solving, Novotel Ambassador Busan, Korea, 2017.12
・Discrete surface theory for trivalent graphs and its application to materials science, Geometry Workshop in Obergurgl, Universitätszentrum Obergurgl, Austria, 2017.9
・Mathematical Challenge to Understanding of Material, International Conference on Research and Education in Mathematics 2017 (ICREM8) ,Aula Timur, Institut Teknologi Bandung, Indonesia2017.8
・Structure understanding of materials by discrete geometric analysis, International Workshop on Industrial Mathematics, Sala de Graus of the Facultat de Farmacia, Universitat de Valencia, Spain, 2017.5
・Structure understanding of materials by discrete geometric analysis, Novel Optical Materials, Keller Hall, The IMA, Minneapolis, USA, 2017.3
・Structure understanding of materials by discrete geometric analysis, Stochastic Analysis and Large Scale Interacting Systems, Departement de Mathematiques Universite Paris-Sud, Orsay, France, 2017.3
・A mathematical challenge to materials, GEMS 2016, OIST, Naha, Japan, 2016. 10
・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