November 2020 update Faculty of Science and Engineering Graduate School of Science and Engineering Faculty Member 2020 Click on a department for profiles of professors marked in yellow. Department of Mathematics Professor SATO Naotsugu Mathematics Course Professor SHISHIME Tomohiro Professor AKUTAGAWA Kazuo Professor TANISHITA Masayoshi Professor SATO Kanetomo Professor DAN Ippeita Professor SAWANO Yoshihiro Professor NISHIOKA Hidetoshi Professor SUWA Noriyuki Professor HATANO Hiroyuki Professor TAKAKURA Tatsuru Professor HARATA Noboru Professor TSUGAWA Kotaro Professor HIMENO Kenji Professor MAESONO Yoshihiko Professor HIRAKAWA Daiki Professor MATSUYAMA Tokio Professor HOTES Stefan Professor MITSUMATSU Yoshihiko Professor YAMADA Tadashi Professor MIYOSHI Shigeaki Professor YAMAMURA Hiroshi Professor YAMAMOTO Makoto Associate Professor TAKADA Mayura Associate Professor SAKAORI Fumitake Assistant Professor HARADA Yoshiki Associate Professor WATANABE Kiwamu Assistant Professor SAGISAKA Ryo Assistant Professor KIKUTA Kohei Assistant Professor SUNAGA Daisuke Assistant Professor NAOE Hironobu Assistant Professor DING Qing Assistant Professor NIWA Yuichi Department of Physics Assistant Professor HARADA AKIKO Physics Course Assistant Professor MATSUBAYASHI Jun Professor ISHII Yasushi Assistant Professor WATANABE Masashi Professor KATORI Makoto Professor SATO Hirohiko Department of Precision Mechanics Professor TAGUCHI Yoshihiro Precision Engineering Course Professor TSUBOI Yohko Professor IHARA Tohru Professor NAKAMURA Shin Professor UMEDA Kazunori Professor MUNEYUKI Eiro Professor OSUMI Hisashi Professor YONEMITSU Kenji Professor SUZUKI Hiroaki Professor WAKITA Jun-ichi Professor TSUJI Tomoaki Associate Professor KITTAKA Shunichiro Professor TOI Takeshi Associate Professor TSUCHIYA Shunji Professor DOHI Tetsuji Associate Professor TOJO Satoshi Professor NAKAMURA Taro Assistant Professor ABE Masashi Professor NAKAYAMA Tsukasa Assistant Professor ANDRAUS Sergio Professor HIRAOKA Hiroyuki Assistant Professor IWAKIRI Wataru Professor MATSUMOTO Koji Assistant Professor KONO Yohei Professor YONEZU Akio Assistant Professor TANAHASHI Norihiro Associate Professor NIITSUMA Mihoko Assistant Professor TERAHARA Naoya Associate Professor HAYAKAWA Takeshi Assistant Professor NARIZUKA Takuma Assistant Professor OKUI Manabu Assistant Professor KOJIMA Tomohisa Department of Civil and Environmental Assistant Professor SONG XIAOQI Civil,Human and Environmental Science and Engineering Course Assistant Professor HORI Masataka Professor ARIKAWA Taro Professor OHSHITA Hideki Department of Electrical, Electronic, and Communication Engineering Professor OHASHI Yasuo Electrical, Electronic, and Communication Engineering Course Professor KASHIYAMA Kazuo Professor KUNII Yasuharu Professor KANEDA Heitaro Professor KOBAYASHI Kazuya Professor KOMINE Tsutomu Professor SHOJI Ichiro Professor SHIRAI Hiroshi Professor WATANABE Norio Professor TAMURA Hiroshi Assistant Professor TAKAHASHI Naoki Professor HASHIMOTO Hideki Assistant Professor NAKAYAMA Shummin Professor MURAKAMI Shingo Assistant Professor YANG Wenhe Professor YAMAMURA Kiyotaka Associate Professor KUBOTA Akira Department of Information and System Engineering Associate Professor MATSUNAGA Mariko Information and System Engineering Course Associate Professor MOROMUGI Shunji Professor IMAI Keiko Assistant Professor YOSHIDA Shotaro Professor IMAHORI Shinji Assistant Professor NAGASAKA Takashi Professor KUBOTA Koichi Assistant Professor NAGATSU Yuki Professor SUZUKI Hisashi Professor TAGUCHI Azuma Department of Applied Chemistry Professor CHAO Jinhui Applied Chemistry Course Professor MAKINO Mitsunori Professor ISHII Youichi Associate Professor TAKAMATSU Mizuyo Professor ISHIZUKA Morio Associate Professor TORIUMI Shigeki Professor UENO Yuko Associate Professor FUKUNAGA Takuro Professor OH-ISHI Katsuyoshi Associate Professor MORIGUCHI Masaki Professor KATAYAMA Kenji Assistant Professor LEE Dongjin Professor KOMATSU Teruyuki Assistant Professor SHIRAGA Takeharu Professor TANAKA Hideki Assistant Professor HANAKA Tesshu Professor CHANG Hochol Assistant Professor MINAMIHATA Atsushi Professor FUKUZAWA Shin-ichi Professor FUNAZUKURI Toshitaka Department of Biological Sciences Professor FURUTA Naoki Biological Sciences Course Professor FUWA Haruhiko Professor KAMIMURA Shinji Professor MURASE Kazuo Professor KOIKE Hiroyuki Professor MORI Hirotoshi Professor SUWA Yuichi Assistant Professor IWAMOTO Takahiro Professor NISHIDA Harufumi Assistant Professor KATO Ryo Professor FUKUI Akimasa Assistant Professor KANEMOTO Kazuya Professor MURAKAMI Hiroshi Assistant Professor KUROKI Nahoko Associate Professor IWADATE Mitsuo Assistant Professor KUWABARA Takuya Associate Professor KATO-MINOURA Takako Assistant Professor SAKANE Shunya Assistant Professor KIZAWA Ayumi Assistant Professor SAKABE Junichi Assistant Professor KUBOTA Aya Assistant Professor SUGAI Tomoya Assistant Professor FUJITANI Hirotsugu Assistant Professor NAKADA Akinobu Assistant Professor MORIYAMA Yuki Assistant Professor PAN Zhenhua Assistant Professor MORITA Yoshitsugu Assistant Professor WATANABE Mizuki Department of Industrial and Systems Engineering Industrial and Systems Engineering Course Professor KATO Toshikazu Professor KAMAKURA Toshinari Professor GOTOH Jun-ya Professor SHOJI Hiroko Professor TAKAKUWA Soemon Professor NAKAJYO Takeshi Professor NAGATSUKA Hideki Professor NAMATAME Takashi Professor NANBA Hidetsugu Professor HIGUCHI Tomoyuki Professor FUJITA Takahiko Mathematics Course Professor Mathematics Course AKUTAGAWA, Kazuo RECENT RESEARCH ACTIVITIES (1) We have studied the Yamabe problem on compact singular spaces. We obtained the generalized Aubinʼs inequality for Yamabe constants. We proved a general existence result of Yamabe metrics. We also showed regularity results of them on compact stratified spaces. (2) We have studied singular Einstein metrics, Ricci flow on singular spaces and the Yamabe invariant. We proved non-existence of Yamabe metrics on singular spheres. Moreover, we proved an appropriate approximation results for singular Einstein metrics. (3) We have investigated gap results for Einstein metrics on the 4-sphere and the projective plane. (4) We have researched harmonic maps from the product of hyperbolic spaces to hyperbolic spaces. Research Interests KEY PUBLICATIONS Differential Geometry [1] (with H. Endo and H. Seshadri), A gap theorem for positive Einstein metrics on the four-sphere, to appear in Math. Ann. Geometric & Global [2] (with Y. Matsumoto), Proper harmonic maps between asymptotically hyperbolic manifolds, Analysis Math. Ann. 364 (2016), 793--811. [3 ] (with R. Aiyama), Minimal Legendrian surfaces in the five-dimensional Heisenberg group, Geometry and Topology of Manifolds, 10th China-Japan Conference 2014, Futaki, A., Miyaoka, R., Ph.D., Kyusyu University Tang, Z., Zhang, W. (Eds.), Springer Proceedings in Mathematics & Statistics 154 (2016), 1--13. [1991] [4 ] (with G. Carron and R. Mazzeo), H\"older regularity of solutions for Schr\"odinger operators on stratified spaces, J. Funct. Anal. 269 (2015), 815--840. [5] (with G. Carron and R. Mazzeo), The Yamabe problem on stratified spaces, Geom. Funct. Anal. Tel.+81-03-3817-1751 24 (2014), 1039--1079. E-mail.akutagawa(at)math.chuo- [6 ] (with H. Kumura), Geometric relative Hardy inequalities and the discrete spectrum of u. ac.jp Schr\"odinger operators on manifolds, Calc. Var. Partial Differential Equations 48 (2013), 67--88. https://sites.google.com/site/kaz [7 ] Aubin's lemma for the Yamabe constants of infinite coverings and a positive mass theorem, uoakutagawa/ Math. Ann. 352 (2012), 829--864. [8] (with A. Neves), 3-manifolds with Yamabe invariant greater than that of RP3, J. Differential Geom. 75 (2007), 359--386. [9 ] (with L. A. Florit and J. Petean), On Yamabe constants of Riemannian products, Comm. Anal. Geom. 15 (2007), 947--969. [10] (with B. Botvinnik), The Yamabe invariants of orbifolds and cylindrical manifolds, and L2-harmonic spinors, J. Reine Angew. Math. 574 (2004), 121--146. [11] (with B. Botvinnik), Yamabe metrics on cylindrical manifolds, Geom. Funct. Anal. 13 (2003), 259--333. [12] (with B. Botvinnik), Manifolds of positive scalar curvature and conformal cobordism theory, Math. Ann. 324 (2002), 817--840. [13] (with B. Botvinnik), The relative Yamabe invariant, Comm. Anal. Geom. 10 (2002), 935--969. [14] (with R. Aiyama), Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space, J. Math. Soc. Japan 52 (2000), 877--898. [15] (with S. Nishikawa and A. Tachikawa), Harmonic maps between unbounded convex polyhedra in hyperbolic spaces, Invent. Math. 115 (1994), 391--404. [16] Harmonic diffeomorphisms of the hyperbolic plane, Trans. Amer. Math. Soc. 342 (1994), 325--342. [17] On spacelike hypersurfaces with constant mean curvature in the de Sitter space, Math. Z. 196 (1987), 13--19. OTHER ACHIEVEMENTS Award : 2010ʼs MSJ Geometry Prize ʻʼStudies on the Yamabe invariantʼʼ Books : [1] (with O. Kobayashi), The Yamabe problem and the Yamabe invariant, in Geometric Analysis, Geometry Encyclopedia II, Asakura Publishing Co. (2018). [2] (with O. Kobayashi and H. Izeki), The Yamabe Problem, Sugaku Memoirs 7, Mathematical Society of Japan (2013), 75 pp. [3] (subdivision of lot), Scalar curvature and Topology, Iwanami Mathematics Encyclopedia, 4th ed. (2007), 788—789. [4 ] (subdivision of lot), Harmonic maps between noncompact manifolds, Iwanami Mathematics Encyclopedia, 4th ed. (2007), 985—985. p. 1 Mathematics