NAME: Nobutaka Nakazono Curriculum Vitae 1 CONTACT DETAILS: Address: School of Mathematics and Statistics, Carslaw Building F07, The University of Sydney, Sydney NSW 2006, Australia Tel: +61 2 9351 3879 E-mail: nobutaka.nakazono@sydney.edu.au APPOINTMENTS: Current Apr. 2013 Previous Apr. 2010 Mar. 2013 Laureate Postdoctoral Research Associate at The University of Sydney Research Fellow of the Japan Society for the Promotion of Science (DC1) MAJOR PROFESSIONAL INTEREST: Integrable Systems discrete/continuous EDUCATION: Mar. 2013 Kyushu University (Doctoral course), Japan Sep. 2011 The University of Sydney, Australia Mar. 2012 The purpose of this visit and affiliation is to undertake research/training in the Faculty of Science which will contribute to the award of a PhD degree from Kyushu University Mar. 2010 Mar. 2008 Kyushu University (Master s course), Japan Kyushu University (Undergraduate course), Japan DEGREES: March 2008 March 2010 March 2013 Bachelor s degree in Mathematics at Kyushu University, Japan Master s degree in Mathematics at Kyushu University, Japan Doctorate degree in Mathematics at Kyushu University, Japan AWARD: 2010 Valedictorian, Kyushu University, Japan RESEARCH GRANT: 2010 2013 Japan Society for the Promotion of Science Fellows No. 22 4366
Curriculum Vitae 2 MEETINGS ORGANISED: 29 Mar. 2017 Nalini Joshi, Christopher Lustri, Nobutaka Nakazono, Milena Radnovic, Yang Shi, 1 Apr. 2017 Session Discrete integrable systems, The Tenth IMACS International Conference, GA, USA. 1 2 Dec. 2016 Nalini Joshi, Christopher Lustri, Nobutaka Nakazono, Milena Radnovic, Yang Shi, Stephanie Swanson, 2016 Integrable Systems Workshop, Sydney, Australia. 1 4 Apr. 2015 Nalini Joshi, Nobutaka Nakazono, Milena Radnovic, Yang Shi, Session Geometric, algebraic and analytic approaches to integrable systems, The Ninth IMACS International Conference, GA, USA. 15 17 Nov. 2010 Hisashi Ando, Chikashi Arita, Nobutaka Nakazono, Young Scientist Meeting on Nonlinear Mathematics, Fukuoka, Japan. MAJOR PROFESSIONAL SERVICE and PROFESSIONAL SOCIETIES: Oct. 2014 Member of the Australian and New Zealand Association of Mathematical Physics (ANZAMP) Jul. 2013 Member of the Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Jul. 2013 Member of the Australian Mathematical Society (AustMS) 2011 2013 One of the organiser of Kyushu Integrable System Seminar Mar. 2009 Member of Mathematical Society of Japan (MSJ) REFEREE FOR: Symmetry, Integrability and Geometry: Methods and Applications; Reports of RIAM Symposium; Journal of Mathematical Physics; Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences REVIEWER FOR: Zentralblatt MATH TEACHING ACTIVITIES: Mar. 2016 Honours project at the University of Sydney, Mar. 2017 Project title: The Geometry of Discrete Integrable Systems: Reducing Integrable Lattices to Discrete Painlevé equations, Associate supervisor for honours student Alexander Stokes. 12 Aug. 2016 Completed the program FOUNDATIONS OF RESEARCH SUPERVISION, The University of Sydney. Jun. 2016 Université de Montréal, Invited Lecture for ASIDE summer school preceding SIDE2016. May 2016 Applied Mathematics Honours course, The University of Sydney, Jun. 2016 AMH2 Integrable Systems, Guest Lecture. Mar. 2016 Junior Mathematics and Statistics, The University of Sydney, Jun. 2016 MATH 1001 Differential Calculus, Tutorial Class. Nov. 2015 AMSI Vacation Research Scholarship, Feb. 2016 Project title: Symmetry analysis of pole distribution of special solutions of the Painlevé equations, Supervising undergraduate student Alexander Stokes. Jul. 2015 Academic excellence scholarship of Durham University, Sep. 2015 Project title: Integrable Systems and Reflection Groups, Supervising undergraduate student Aaron Poole. 27 May 2015 Applied Mathematics Honours course, The University of Sydney,
Curriculum Vitae 3 AMH2 Integrable Systems, Guest Lecture. 26-27 Feb. 2015 Completed Principles and Practice of University Teaching and Learning, The University of Sydney. Nov. 2014 University of Sydney Vacation Research Scholarship, Jan. 2015 Project Title: Determinantal representation of rational special solution hierarchy of degenerate third Painlevé equation, Supervising undergraduate student Alexander Stokes. 3 Sep. 2014 Applied Mathematics Honours course, The University of Sydney, AMH2 Integrable Systems, Guest Lecture. Jun. 2012 Ningbo University, Invited Lecture for ASIDE summer school preceding SIDE2012. Apr. 2011 General Education Subject, Kyushu University, Sep. 2011 Recitations in Mathematics I, Teaching Assistant. Oct. 2010 Faculty of Engineering, Kyushu University, Mar. 2011 Advanced Calculus IA, Teaching Assistant, 2 Lectures. Oct. 2009 Faculty of Science, Kyushu University, Mar. 2010 Project of Excellent Students in Science, Teaching Assistant, Lecture Note. Oct. 2009 Faculty of Engineering, Kyushu University, Mar. 2010 Advanced Calculus IA, Teaching Assistant, 2 Lectures. Oct. 2008 General Education Subject, Kyushu University, Mar. 2009 Calculus, Teaching Assistant. Oct. 2008 General Education Subject, Kyushu University, Mar. 2009 Linear Algebra, Teaching Assistant. Apr. 2008 Faculty of Engineering, Kyushu University, Sep. 2008 Advanced Calculus IA, Teaching Assistant, 2 Lectures. REFEREED JOURNAL ARTICLES: 1. Nalini Joshi and Nobutaka Nakazono, Lax pairs of discrete Painlevé equations: (A 2 + A 1 ) (1) case, Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 472 (2016). 2. Nalini Joshi, Nobutaka Nakazono and Yang Shi, Lattice equations arising from discrete Painlevé systems. II. A (1) 4 case, Journal of Physics. A. Mathematical and Theoretical, 49 (2016) 495201. 3. Nalini Joshi, Nobutaka Nakazono and Yang Shi, Reflection groups and discrete integrable systems, The Journal of Integrable Systems, 1 (2016) xyw006. 4. James Atkinson, Phil Howes, Nalini Joshi and Nobutaka Nakazono, Geometry of an elliptic-difference equation related to Q4, The Journal of the London Mathematical Society, 12 (2016) 763 784. 5. Nobutaka Nakazono, Hypergeometric τ functions of the q-painlevé Systems of Types A (1) 4 and (A 1 + A 1) (1), Symmetry, Integrability and Geometry. Methods and Applications, 12 (2016) 051, 23 pages. 6. Nalini Joshi, Nobutaka Nakazono and Yang Shi, Lattice equations arising from discrete Painlevé systems. I. (A 2 + A 1 ) (1) and (A 1 + A 1) (1) cases, Journal of Mathematical Physics, 56 (2015) 092705, 25 pages.
Curriculum Vitae 4 7. Kenji Kajiwara and Nobutaka Nakazono, Hypergeometric solutions to the symmetric q-painlevé equations, International Mathematics Research Notices, 2015 (2015) 1101 1140. 8. Mike Hay, Phil Howes, Nobutaka Nakazono and Yang Shi, A systematic approach to reductions of type-q ABS equations, Journal of Physics. A. Mathematical and Theoretical, 48 (2015) 095201, 24 pages. 9. Nalini Joshi, Nobutaka Nakazono and Yang Shi, Geometric Reductions of ABS equations on an n-cube to discrete Painlevé systems, Journal of Physics. A. Mathematical and Theoretical, 47 (2014) 505201, 16 pages. 10. Nobutaka Nakazono, Hypergeometric Solutions of the A (1) 4 -Surface q-painlevé IV Equation, Symmetry, Integrability and Geometry. Methods and Applications, 10 (2014) 090, 23 pages. 11. Nobutaka Nakazono and Seiji Nishioka, Solutions to a q-analog of Painlevé III equation of type D (1) 7, Funkcialaj Ekvacioj. Serio Internacia, 56 (2013) 415 439. 12. Nobutaka Nakazono, Solutions to discrete Painlevé systems arising from two types of orthogonal polynomials, Reports of RIAM Symposium, No.23AO S7 (2013) 35 41. 13. Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Projective Reduction of the Discrete Painlevé System of Type (A 2 + A 1 ) (1), International Mathematics Research Notices, 2011 (2011) 930 966. 14. Nobutaka Nakazono, Hypergeometric τ Functions of the q-painlevé Systems of Type (A 2 + A 1 ) (1), Symmetry, Integrability and Geometry. Methods and Applications, 6 (2010) 084, 16 pages. PREPRINTS: 1. N/A REPORTS: 1. Nobutaka Nakazono, Studies on the solutions to the discrete Painlevé systems, Doctoral thesis at Kyushu University (2013). 2. Nobutaka Nakazono, Projective reduction of the discrete Painlevé systems, Master thesis at Kyushu University (2010). 3. Nobutaka Nakazono and Seiji Nishioka, q-painlevé equations arising from an affine Weyl group of type A (1) Reports of RIAM Symposium, No.21ME S7 (2010) 35 42 (in Japanese). 4. Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems, Reports of RIAM Symposium, No.20ME S7 (2009) 21 28 (in Japanese). PRESENTATION (International Conference): 3 Oct. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) Reduction from the ABS equations to the A (1) 4 -surface q-painlevé equations, BIRS Workshop Painlevé Equations and Discrete Dynamics, Banff, Canada.
Curriculum Vitae 5 19 Aug. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Reduction from the ABS-equations to the A (1) 4 -surface q-painlevé equations, The 3rd China-Japan Joint Workshop on Integrable Systems, Shaanxi, China. 8 Jul. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) Lax pairs of A (1) 4 -surface q-painlevé equations constructed from a system of ABS equations, SIDE 12 International Conference, Quebéc, Canada. 5 Jul. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) Geometry, Coxeter s polytopes and discrete integrable systems, SIDE 12 International Conference, Quebéc, Canada. 19 May 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) Linear problem for discrete Painlevé equations arising from partial difference equations on a 4-dimensional lattice, NSF/CBMS Regional Research Conference on Discrete Painlevé Equations, Texas, USA. 11 Apr. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) A reduction from a 4-cube to a rhombic dodecahedron associated with q-painlevé equations, Discrete Integrable Systems Workshop at TSIMF, Hainan Province, China. 11 Apr. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited, funded) Discrete integrable systems and reflection groups, Discrete Integrable Systems Workshop at TSIMF, Hainan Province, China. 13 Aug. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Symmetry and Combinatorics of Discrete Integrable Systems, The 8th International Congress on Industrial and Applied Mathematics, Beijing, China. 13 Aug. 2015 Nalini Joshi and Nobutaka Nakazono, (invited) Lax pairs of discrete Painlevé equations arising from the integer lattice, The 8th International Congress on Industrial and Applied Mathematics, Beijing, China. 4 Apr. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Lax pairs of discrete Painlevé equations arising from the integer lattice, The Ninth IMACS International Conference, GA, USA. 4 Apr. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Symmetry and combinatorics of discrete integrable systems, The Ninth IMACS International Conference, GA, USA. 17 Jun. 2014 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Integrable quad equations and discrete Painlevé equations, SIDE 11 International Conference, Bangalore, India. 16 Jun. 2014 Nalini Joshi, Nobutaka Nakazono and Yang Shi, ABS equations arising from discrete Painlevé systems, SIDE 11 International Conference, Bangalore, India. 27 Mar. 2013 Nobutaka Nakazono, (invited) Solutions to the discrete Painlevé systems arising from two types of orthogonal polynomials, The Eighth IMACS International Conference, GA, USA. 16 Mar. 2013 Nobutaka Nakazono, Solutions to discrete Painlevé systems arising from two types of orthogonal polynomials, China-Japan Joint Workshop on Integrable Systems 2013, Kyoto, Japan. 11 Jul. 2012 Nobutaka Nakazono and Seiji Nishioka, (peer review) Study on a q-analog of the Painlevé III equation of type D (1) 7, Nonlinear Evolution Equations and Dynamical Systems 2012, Crete, Greece. 15 Jun. 2012 Philip Howes, Nobutaka Nakazono, Nalini Joshi and James Atkinson,
Curriculum Vitae 6 The (1, 1) reduction of Q4, SIDE 10 International Conference, Ningbo, China. 15 Jun. 2012 Nobutaka Nakazono and Seiji Nishioka, Study on a q-analog of the Painlevé III equation of type D (1) 7, SIDE 10 International Conference, Ningbo, China. 10 Jun. 2010 Nobutaka Nakazono, (poster) Hypergeometric solutions to the q-painlevé IV equation, Symmetry Plus Integrability 2010, Texas, USA. 3 Jul. 2009 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Hypergeometric solutions to the symmetric discrete Painlevé equations, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. PRESENTATION (Domestic Conference): 1 Feb. 2017 Nalini Joshi and Nobutaka Nakazono, Elliptic Painlevé equations, ANZAMP meeting 2017, Kiama, Australia. 2 Dec. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Reflection groups and discrete integrable systems, Workshop on Integrable Systems, Sydney, Australia. 6 Sep. 2016 Nalini Joshi and Nobutaka Nakazono, (invited) Construction of Lax pairs of the discrete Painlevé equations using the theory of ABS equations, RIMS Workshop, Kyoto, Japan. 11 Feb. 2016 Nalini Joshi, Nobutaka Nakazono and Yang Shi, A reduction from integrable partial difference equations on Z 4 to A (1) 4 -surface q-painlevé equations, ANZIAM 2016, Canberra, Australia. 10 Dec. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Symmetry and geometry of discrete integrable systems, ANZAMP Meeting 2015, Newcastle, Australia. 28 Sep. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Polytopes, symmetries and discrete integrable systems, AustMS 2015, Adelaide, Australia. 4 Feb. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Symmetry and combinatorics of Coxeter groups and discrete integrable systems, ANZIAM 2015, Queensland, Australia. 4 Feb. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, The Lax pairs of discrete Painlevé equations arising from the integer lattice: (A 2 + A 1 ) (1) case, ANZIAM 2015, Queensland, Australia. 6 Feb. 2014 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Reduction of ABS equations on n-cube to q-painlevé equations, ANZIAM 2014, Rotorua, New Zealand. 4 Feb. 2014 Nalini Joshi, Nobutaka Nakazono and Yang Shi, ABS equations in τ-functions framework of A (1) 5 -surface q-painlevé systems, ANZIAM 2014, Rotorua, New Zealand. 1 Nov. 2012 Nobutaka Nakazono, Relation between discrete Painlevé equations and orthogonal polynomials associated with the Christoffel transformation, RIAM Symposium 2012, Fukuoka, Japan.
Curriculum Vitae 7 9 Mar. 2012 Nobutaka Nakazono, Philip Howes, Nalini Joshi and James Atkinson, Extension of a one-dimensional reduction of the Q4 mapping to a discrete Painlevé equation, The Japan Society for Industrial and Applied Mathematics 2012, Fukuoka, Japan. 31 Jan. 2012 Philip Howes, Nobutaka Nakazono, Nalini Joshi and James Atkinson, The Holy Grail of Painlevé Equations: Finding Elliptic Painlevé Through Surface Theory, ANZIAM 2012, Warrnambool, Australia. 29 Nov. 2011 Philip Howes and Nobutaka Nakazono, An elliptic? Painlevé systems, INTEGRABILITY DAY, Sydney, Australia. 7 Jan. 2011 Nobutaka Nakazono, Two types of hypergeometric solutions to a q-painlevé IV equation of type A (1) HG 2011, Hyogo, Japan. 24 Sep. 2010 Nobutaka Nakazono, Two types of hypergeometric solutions to a q-painlevé IV equation of type A (1) Mathematical Society of Japan 2010, Aichi, Japan. 27 Mar. 2010 Nobutaka Nakazono and Seiji Nishioka, q-painlevé systems arising from W (A (1) 4 ), Mathematical Society of Japan 2010, Kanagawa, Japan. 23 Feb. 2010 Nobutaka Nakazono, (poster) Hypergeometric τ-functions of the q-painlevé IV equation of type A (1) DISDDG2010, Fukuoka, Japan. 20 Nov. 2009 Nobutaka Nakazono and Seiji Nishioka, q-painlevé systems which have an affine Weyl group symmetry of type A (1) RIAM Symposium 2009, Fukuoka, Japan. 25 Sep. 2009 Nobutaka Nakazono, Hypergeometric τ-functions of the q-painlevé systems of type (A 2 + A 1 ) (1), Mathematical Society of Japan 2009, Osaka, Japan. 29 Mar. 2009 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions (II), Mathematical Society of Japan 2009, Tokyo, Japan. 29 Mar. 2009 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions (I), Mathematical Society of Japan 2009, Tokyo, Japan. 6 Jan. 2009 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, HG 2009, Hyogo, Japan. 6 Nov. 2008 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems, RIAM Symposium 2008, Fukuoka, Japan. PRESENTATION (Seminar): 18 Jan. 2017 Nalini Joshi and Nobutaka Nakazono, Space of initial values of an elliptic Painlevé equations, Kobe Seminar on Integrable Systems, Hyogo, Japan. 8 Apr. 2015 Nalini Joshi, Nobutaka Nakazono and Yang Shi, A periodic reduction of the integrable partial difference equations on the 4-dimensional integer lattice, Nonlinear Waves Seminar at CU-Boulder, Boulder, USA.
Curriculum Vitae 8 8 Jul. 2014 Nalini Joshi, Nobutaka Nakazono and Yang Shi, ABS equations arising from q-p((a 2 + A 1 ) (1) ), Kotenkaiseki Seminar at The University of Tokyo, Tokyo, Japan. 17 Jul. 2013 Nobutaka Nakazono and Kenji Kajiwara, q-weber function, Kotenkaiseki Seminar at Osaka University, Osaka, Japan. 16 Jul. 2013 Nobutaka Nakazono and Kenji Kajiwara, q-weber function, Kobe Seminar on Integrable Systems, Hyogo, Japan. 6 Feb. 2013 Nobutaka Nakazono, Studies on the solutions to the discrete Painlevé systems, Public Dissertation Defense, Fukuoka, Japan. 27 Jan. 2013 Nobutaka Nakazono, Studies on the solutions to the discrete Painlevé systems, Winter Seminar 2013, Niigata, Japan. 10 Aug. 2012 Nobutaka Nakazono and Seiji Nishioka, Algebraic function solutions of q-p D(1) 7 III (II), Summer Seminar of Functional Equation Theory 2012, Yamagata, Japan. 10 Aug. 2012 Nobutaka Nakazono and Seiji Nishioka, Algebraic function solutions of q-p D(1) 7 III (I), Summer Seminar of Functional Equation Theory 2012, Yamagata, Japan. 11 Jul. 2012 Nobutaka Nakazono and Seiji Nishioka, On a q-analog of Painlevé III (D (1) 7 ) and its algebraic function solutions, Kotenkaiseki Seminar at The University of Tokyo, Tokyo, Japan. 14 Mar. 2012 Nobutaka Nakazono, Philip Howes, Nalini Joshi and James Atkinson, Extension of a one-dimensional reduction of the Q4 mapping to a discrete Painlevé equation, Aoyama Suuri Seminar, Kanagawa, Japan. 13 Mar. 2012 Nobutaka Nakazono, Philip Howes, Nalini Joshi and James Atkinson, Extension of a one-dimensional reduction of the Q4 mapping to a discrete Painlevé equation, Winter Seminar 2012, Niigata, Japan. 4 Aug. 2011 Kenji Kajiwara and Nobutaka Nakazono, Hypergeometric solutions to symmetric-q-painlevé systems and their continuous limits, Summer Seminar of Functional Equation Theory 2011, Hokkaido, Japan. 10 Dec. 2010 Nobutaka Nakazono, Hypergeometric Solutions to a q-painlevé IV Equation of Type A (1) Integrable Systems, Fukuoka, Japan. 8 Sep. 2010 Nobutaka Nakazono, Two types of hypergeometric solutions to a q-painlevé IV equation of type A (1) Kobe Seminar on Integrable Systems, Hyogo, Japan. 4 Feb. 2010 Nobutaka Nakazono, Projective reduction of the discrete Painlevé systems, Master s thesis symposium, Fukuoka, Japan. 9 Dec. 2009 Nobutaka Nakazono and Seiji Nishioka, q-painlevé systems arising from W (A (1) 4 ), Okamotoken Seminar, Tokyo, Japan. 31 Jul. 2009 Nobutaka Nakazono,
Curriculum Vitae 9 q-painlevé systems which have an affine Weyl group symmetry of type A (1) Summer Seminar of Functional Equation Theory 2009, Mie, Japan. 18 Mar. 2009 Nobutaka Nakazono, Boundary value problem for τ-functions of q-painlevé III equation, Transform Theory of Functional Equation and Integrable Systems, Fukuoka, Japan. 17 Dec. 2008 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, Aoyama Suuri Seminar, Kanagawa, Japan. 15 Dec. 2008 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, Okamotoken Seminar, Tokyo, Japan. 8 Aug. 2008 Nobutaka Nakazono, Symmetrized q-painlevé systems and hypergeometric solutions, Summer Seminar of Functional Equation Theory 2008, Toyama, Japan.