Jun O’Hara
Curriculum Vitae
Current Address Jun O’Hara1
Department of Mathematics and Informatics,Faculty of Science, Chiba University 1-33 Yayoi-cho, Inage, Chiba, 263-8522, Japan
https://sites.google.com/site/junohara/home
Education and Degrees
Ph.D., Science, The University of Toky, 19 December 1991. M.S., Mathematics, The University of Toky, March 1988. B.A., Mathematics, The University of Toky, March 1986. Thesis Advisor: Prof. Takashi Tsuboi
Employment
Professor, Chiba University, 2016 - Present.
Associate Professor, Tokyo Metropolitan University, 1995 - 2015. Research associate, Tokyo Metropolitan University, 1989 - 1994.
Publications
(1) (with H. Funaba) M¨obius invariant energy of tori of revolution, Journal of Physics: Conference Series, Volume 544, Issue 1, article id. 012019 (2014).
(2) (with G. Solanes) M¨obius invariant energies and average linking with circles, Tohoku Math. J. 67 (2015), 51-82
(3) Minimal unfolded regions of a convex hull and parallel bodies, to appear in Hokkaido Math. J. (4) Measure of a 2-component link, Tohoku Math. J. 65 (2013), 427 – 440
(5) (with R. Langevin and S. Sakata) Application of spaces of subspheres to conformal invariants of curves and canal surfaces,Ann. Polon. Math. 108 (2013), 109 – 131.
(6) The configuration space of equilateral and equiangular hexagons, Osaka J. Math. 50, (2013), 477 – 489 (7) Isoperimetric characterization of the incenter of a triangle, Elem. Math. 68 (2013), 78 – 82.
(8) Renormalization of potentials and generalized centers, Adv. Appl. Math. 48 (2012), 365 – 392. Corrigendum to “ Renormalization of potentials and generalized centers ” to appear in Adv. Appl. Math., DOI : 10.1016/j.aam.2012.06.001
(9) Ideal, best packing, and energy minimizing double helices, Progress of Theoretical Physics Supplement 191 (2011), 215 – 224
(10) (with U. Hertrich-Jeromin and A. King) On the M¨obius geometry of Euclidean triangles, Elemente der Mathematik 68 (2013), 96 – 114.
(11) (with R. Langevin) Conformal invariance of the writhe of a knot, J. Knot Theory Ramifications 19 (2010), 1115 – 1123.
(12) (with R. Langevin) Conformal arc-length as 12dimensional length of the set of osculating circles, Comm. Math. Helv. 85 (2010) 273 – 312.
1Legally named Jun Imai.
(13) Conformal dual of a quadruplet of points, Far East Journal of Mathematical Education 2 (2008), 1 – 11. (14) The configuration space of planar spidery linkages, Topology Appl. 154 (2007), 502 – 526.
(15) (with R. Langevin) Conformally invariant energies of knots, J. Institut Math. Jussieu 4 (2005), 219 – 280.
(16) (with R. Langevin) Conformally geometric viewpoints for knots and links I, in Physical Knots: Knot- ting, Linking, and Folding Geometric Objects in R3, AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001, J. A. Calvo, K. Millett, and E. Rawdon eds., Contemp. Math. 304, Amer. Math. Soc., Providence, RI, (2002), 187 – 194.
(17) Asymptotic formulae of energies of polygonal knots, Proceedings of the Conference on Low Dimensional Topology, H. Nencka and R. Vasconcelos eds., Contemporary Mathematics (CONM) book series, Amer. Math. Soc., 1999, 235 – 249.
(18) Energy of knots in a 3-manifold; The spherical and the hyperbolic cases, Proceedings of Knots ’96, S. Suzuki ed., World Scientific, 1997, 449 – 464.
(19) Energy funcitonals of knots II, Topology Appl. 56 (1994), 45 – 61. (20) Energy functionals of knots, in ”Topology -Hawaii”,
K. H. Dovermann ed., World Scientific, Singapore, (1992), 201 – 214. (21) Family of energy functionals of knots, Topology Appl. 48 (1992), 147 – 161. (22) Energy of a knot, Topology 30 (1991), 241 – 247.
Book
Energy of knots and conformal geometry. Series on Knots and Everything Vol. 33, World Scientific, Singapore, 304 pages. (2003).
Preprints
• (with G. Solanes) Regularized Riesz energies of submanifolds, arXiv:1512.07935,
• Uniqueness of radial centers of parallel bodies arXiv:1109.5069
• (with R. Langevin, J.C. Sifre) Osculating spheres to a family of curves
• (with K. Mikami and K. Sugahara) Triangles with sides in arithmetic progression
Selected International Talks
(1) 03 Sept 2015, Regularization of energies of knots and surfaces, Geometric energies with links to appli- cations, topology and open problems, University of Basel
(2) 30 Apr 2013, Three topics in knot energies, Geometric knot theory, MFO Oberwolfach, Germany (3) 5 Dec 2012, Renormalized potential energies and their asymptotics, Quantised Flux in Tightly Knotted
and Linked Systems, Isaac Newton Institute, Cambridge, UK.
(4) 4 July 2011, M¨obius invariant energies and average linking with circle, ESF-EMS-CRM-Pi International Conference on Knots and Links: From Form to Function, Centro di Ricerca Matematica (CRM), Scuola Normale Superiore, Pisa
(5) 28 June 2011, Renormalization of r*-potentials and generalized centers, Differential Geometry and Parametrization of 3D Knots, Centro di Ricerca Matematica (CRM), Pisa (Italy)
(6) 3 Aug. 2010, Slopes of double helices and geometric energies, Statistical physics and topology of poly- mers with ramifications to structure and function of DNA and proteins (2-6, August, 2010, Panasonic Auditorium, Yukawa Hall, YITP, Kyoto University)
(7) 28 Jul. 2010, Energy of knots and related topics, The 2nd TAPU-KOOK Joint Seminar on Knots and Related Topics & The 4th Graduate Student Workshop on Mathematics, Kyungpook National University, Daegu, Korea.
(8) 3 Nov. 2009, Introduction to Knot Theory (with Javier Arsuaga), DNA Topology Course 2009, Oki- nawa Institute of Science and Technology, Okinawa, Japan
(9) 26 May 2009, Conformally invariant energies of knots and links, Advanced School and Conference on Knot Theory and its Applications to Physics and Biology, International Centre for Theoretical Physics, Trieste, Italy
(10) 29 August 2008, Configuration space of small equilateral and equiangular polygons, Knots and soft- matter physics, Topology of polymers and related topics in physics, mathematics and biology, Yukawa Institute for Theoretical Physics, Kyoto University
(11) 4 Jan. 2006, Energy of knots (survey talk), Workshop “Moduli Spaces of Knots”, American Institute of Mathematics, Palo Alto, CA, USA.
(12) 15 Nov. 2005, The infinitesimal cross ratio as an area form, Workshop “Extrinsic Con formal Geome- try”, Stefan Banach International Mathematical Center, Warszawa 10, Poland
(13) 1 Nov. 2005, Conformal geometry of curves, Lie Group and Representation Theory Seminar, Kyoto University, RIMS
(14) 06 July 2005, Conformal geometry of knots, COE Conference “Groups, Homotopy and Configuration Spaces”, The University of Tokyo, Tokyo Japan.
(15) 3,4 May 2003, The Y-energy of knots, San Francisco, AMS Spring Western Sectional Meeting
(16) 5 June 2001, Energy of knots and the infinitesimal cross-ratio, TOPOLOGICAL FLUID MECHANICS, Cetraro (Calabria, Italy) - June 2-10.
(17) 22 April 2001, Energy of knots and the infinitesimal cross-ratio, AMS Sectional Meeting, Univer sity of Nevada, Las Vegas, U.S.A.
(18) 16 March 2001, Energy of knots and the infinitesimal cross-ratio, Seminaire d’Analyse, EPFL, Lau- sanne, Switzerland.
(19) 4 Jan 2001, Conformal geometry, energy of knots and Langevin’s functional, KNOTS, LINKS and MANIFOLDS - 4th International Siegen Topology Symposium - , Siegen, Germany, 4-8 Jan. 2001. (20) 13 Oct 2000, On energy of knots - Energy of knots and Langevin’s functional, Spitalfields Day Follow-
up: In Search of the Ideal Knot, Isaac Newton Institute for Mathematical Sci ences, Cambridge, U.K. (21) 23 Aug 2000, Langevin’s conformal invariant knot energy, IMACS (International Association for Math- ematics and Computers in Simulation) quadrennial World Congress on Scientific Computation, Applied Mathematics and Simulation, in Lausanne, Switzerland. IMACS, program and abstract.
(22) 3 Aug 2000, Langevin’s conformal invariant knot enery, KNOTS2000, Yongpyong Resort, Korea. Knot 2000.
(23) 20 Sep 1999, Energy of knots, Advanced Course on Integral Geometry, Centre de Recerca M atematica, Universitat Autonoma de Barcelona, Spain
(24) 11 Aug 1998, Knot energy of higher order, KNOTS’ 98 Hellas, European Cultural Center of Delphi, Delphi, Greece.
(25) 15 Jan 1998, Energy of knots, Conference on Low Dimensional Topology, Universidade da Madeira, Funchal, Portugal.
(26) 22 Mar 1996, Energy minimizing knots in S3 and H3, AMS Meeting. Special Session ”Physical knot theory”, University of Iowa
(27) 23 Aug 1990, Energy of a knot, ICM 90 Kyoto
(28) 14 Aug 1990, Energy of a knot, University of Hawaii, Topology Hawaii.
Grants and Funding
(1) 2013-2015, KAKENHI Grant Number 25610014. (2) 2009-2011, KAKENHI Grant Number 21540089. (3) 2007-2008, KAKENHI Grant Number 19540096. (4) 2005-2006, KAKENHI Grant Number 17540089. (5) 2003-2004, KAKENHI Grant Number 15540088. (6) 1998-2001, KAKENHI Grant Number 10640085. (7) 1995 KAKENHI Grant Number 07740068. KAKENHI Researcher Number 70221132, Jun IMAI.
2012, Graduate School of Science and Engineering, Tokyo Metropolitan University
Teaching
Calculus, linear algebra, General topology, Complex analysis, Curves and surfaces, Vector calculus, Mani- folds, Differential forms, Homology groups, Fundamental groups and covering spaces, Lie groups, Hyperbolic geometry, Knot theory, Morse theory, Fibre bundles.
Doctor Thesis Students Shigehiro Sakata, March 2014.
Other Activities
Proposal Reviewer for NSF Programs (three times) Editorial boad of Sugaku (Japanese journal), 2007 - 2009
Examination expert committee of National Civil Service, 2006,2007
Enlightenment certificate on invariants and symmetry in mathematics (with Hiroaki Terao and Hiroaki Nakamura)
One day class for high school students, 2005, 2013 Course in Open University, 2007
Lectures for Citizens, The Meeting of The Mathematical Society of Japan at Tokyo Institute of Technology, 2008
Some articles in Japanese
Family status : Married, 3 children
