Laureate Postdoctoral Research Associate at The University of Sydney. Research Fellow of the Japan Society for the Promotion of Science (DC1)

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1 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: nobutaka.nakazono@sydney.edu.au APPOINTMENTS: Current Apr Previous Apr Mar 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 Kyushu University (Doctoral course), Japan Sep The University of Sydney, Australia Mar 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 Mar 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: Japan Society for the Promotion of Science Fellows No

2 Curriculum Vitae 2 MEETINGS ORGANISED: 29 Mar Nalini Joshi, Christopher Lustri, Nobutaka Nakazono, Milena Radnovic, Yang Shi, 1 Apr Session Discrete integrable systems, The Tenth IMACS International Conference, GA, USA. 1 2 Dec Nalini Joshi, Christopher Lustri, Nobutaka Nakazono, Milena Radnovic, Yang Shi, Stephanie Swanson, 2016 Integrable Systems Workshop, Sydney, Australia. 1 4 Apr Nalini Joshi, Nobutaka Nakazono, Milena Radnovic, Yang Shi, Session Geometric, algebraic and analytic approaches to integrable systems, The Ninth IMACS International Conference, GA, USA Nov Hisashi Ando, Chikashi Arita, Nobutaka Nakazono, Young Scientist Meeting on Nonlinear Mathematics, Fukuoka, Japan. MAJOR PROFESSIONAL SERVICE and PROFESSIONAL SOCIETIES: Oct Member of the Australian and New Zealand Association of Mathematical Physics (ANZAMP) Jul Member of the Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Jul Member of the Australian Mathematical Society (AustMS) One of the organiser of Kyushu Integrable System Seminar Mar 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 Honours project at the University of Sydney, Mar Project title: The Geometry of Discrete Integrable Systems: Reducing Integrable Lattices to Discrete Painlevé equations, Associate supervisor for honours student Alexander Stokes. 12 Aug Completed the program FOUNDATIONS OF RESEARCH SUPERVISION, The University of Sydney. Jun Université de Montréal, Invited Lecture for ASIDE summer school preceding SIDE2016. May 2016 Applied Mathematics Honours course, The University of Sydney, Jun AMH2 Integrable Systems, Guest Lecture. Mar Junior Mathematics and Statistics, The University of Sydney, Jun MATH 1001 Differential Calculus, Tutorial Class. Nov AMSI Vacation Research Scholarship, Feb Project title: Symmetry analysis of pole distribution of special solutions of the Painlevé equations, Supervising undergraduate student Alexander Stokes. Jul Academic excellence scholarship of Durham University, Sep Project title: Integrable Systems and Reflection Groups, Supervising undergraduate student Aaron Poole. 27 May 2015 Applied Mathematics Honours course, The University of Sydney,

3 Curriculum Vitae 3 AMH2 Integrable Systems, Guest Lecture Feb Completed Principles and Practice of University Teaching and Learning, The University of Sydney. Nov University of Sydney Vacation Research Scholarship, Jan Project Title: Determinantal representation of rational special solution hierarchy of degenerate third Painlevé equation, Supervising undergraduate student Alexander Stokes. 3 Sep Applied Mathematics Honours course, The University of Sydney, AMH2 Integrable Systems, Guest Lecture. Jun Ningbo University, Invited Lecture for ASIDE summer school preceding SIDE2012. Apr General Education Subject, Kyushu University, Sep Recitations in Mathematics I, Teaching Assistant. Oct Faculty of Engineering, Kyushu University, Mar Advanced Calculus IA, Teaching Assistant, 2 Lectures. Oct Faculty of Science, Kyushu University, Mar Project of Excellent Students in Science, Teaching Assistant, Lecture Note. Oct Faculty of Engineering, Kyushu University, Mar Advanced Calculus IA, Teaching Assistant, 2 Lectures. Oct General Education Subject, Kyushu University, Mar Calculus, Teaching Assistant. Oct General Education Subject, Kyushu University, Mar Linear Algebra, Teaching Assistant. Apr Faculty of Engineering, Kyushu University, Sep 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) Nalini Joshi, Nobutaka Nakazono and Yang Shi, Reflection groups and discrete integrable systems, The Journal of Integrable Systems, 1 (2016) xyw 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) 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) , 25 pages.

4 Curriculum Vitae 4 7. Kenji Kajiwara and Nobutaka Nakazono, Hypergeometric solutions to the symmetric q-painlevé equations, International Mathematics Research Notices, 2015 (2015) 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) , 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) , 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) Nobutaka Nakazono, Solutions to discrete Painlevé systems arising from two types of orthogonal polynomials, Reports of RIAM Symposium, No.23AO S7 (2013) 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) 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) (in Japanese). 4. Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems, Reports of RIAM Symposium, No.20ME S7 (2009) (in Japanese). PRESENTATION (International Conference): 3 Oct 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.

5 Curriculum Vitae 5 19 Aug 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 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 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 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 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 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 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 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 Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Symmetry and combinatorics of discrete integrable systems, The Ninth IMACS International Conference, GA, USA. 17 Jun Nalini Joshi, Nobutaka Nakazono and Yang Shi, Integrable quad equations and discrete Painlevé equations, SIDE 11 International Conference, Bangalore, India. 16 Jun Nalini Joshi, Nobutaka Nakazono and Yang Shi, ABS equations arising from discrete Painlevé systems, SIDE 11 International Conference, Bangalore, India. 27 Mar 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 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 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 Philip Howes, Nobutaka Nakazono, Nalini Joshi and James Atkinson,

6 Curriculum Vitae 6 The (1, 1) reduction of Q4, SIDE 10 International Conference, Ningbo, China. 15 Jun 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 Nobutaka Nakazono, (poster) Hypergeometric solutions to the q-painlevé IV equation, Symmetry Plus Integrability 2010, Texas, USA. 3 Jul 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 Nalini Joshi and Nobutaka Nakazono, Elliptic Painlevé equations, ANZAMP meeting 2017, Kiama, Australia. 2 Dec Nalini Joshi, Nobutaka Nakazono and Yang Shi, (invited) Reflection groups and discrete integrable systems, Workshop on Integrable Systems, Sydney, Australia. 6 Sep 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 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 Nalini Joshi, Nobutaka Nakazono and Yang Shi, Symmetry and geometry of discrete integrable systems, ANZAMP Meeting 2015, Newcastle, Australia. 28 Sep Nalini Joshi, Nobutaka Nakazono and Yang Shi, Polytopes, symmetries and discrete integrable systems, AustMS 2015, Adelaide, Australia. 4 Feb Nalini Joshi, Nobutaka Nakazono and Yang Shi, Symmetry and combinatorics of Coxeter groups and discrete integrable systems, ANZIAM 2015, Queensland, Australia. 4 Feb 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 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 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 Nobutaka Nakazono, Relation between discrete Painlevé equations and orthogonal polynomials associated with the Christoffel transformation, RIAM Symposium 2012, Fukuoka, Japan.

7 Curriculum Vitae 7 9 Mar 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 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 Philip Howes and Nobutaka Nakazono, An elliptic? Painlevé systems, INTEGRABILITY DAY, Sydney, Australia. 7 Jan Nobutaka Nakazono, Two types of hypergeometric solutions to a q-painlevé IV equation of type A (1) HG 2011, Hyogo, Japan. 24 Sep 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 Nobutaka Nakazono and Seiji Nishioka, q-painlevé systems arising from W (A (1) 4 ), Mathematical Society of Japan 2010, Kanagawa, Japan. 23 Feb Nobutaka Nakazono, (poster) Hypergeometric τ-functions of the q-painlevé IV equation of type A (1) DISDDG2010, Fukuoka, Japan. 20 Nov 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 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 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 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 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, HG 2009, Hyogo, Japan. 6 Nov Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems, RIAM Symposium 2008, Fukuoka, Japan. PRESENTATION (Seminar): 18 Jan Nalini Joshi and Nobutaka Nakazono, Space of initial values of an elliptic Painlevé equations, Kobe Seminar on Integrable Systems, Hyogo, Japan. 8 Apr 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.

8 Curriculum Vitae 8 8 Jul 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 Nobutaka Nakazono and Kenji Kajiwara, q-weber function, Kotenkaiseki Seminar at Osaka University, Osaka, Japan. 16 Jul Nobutaka Nakazono and Kenji Kajiwara, q-weber function, Kobe Seminar on Integrable Systems, Hyogo, Japan. 6 Feb Nobutaka Nakazono, Studies on the solutions to the discrete Painlevé systems, Public Dissertation Defense, Fukuoka, Japan. 27 Jan Nobutaka Nakazono, Studies on the solutions to the discrete Painlevé systems, Winter Seminar 2013, Niigata, Japan. 10 Aug 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 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 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 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 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 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 Nobutaka Nakazono, Hypergeometric Solutions to a q-painlevé IV Equation of Type A (1) Integrable Systems, Fukuoka, Japan. 8 Sep 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 Nobutaka Nakazono, Projective reduction of the discrete Painlevé systems, Master s thesis symposium, Fukuoka, Japan. 9 Dec Nobutaka Nakazono and Seiji Nishioka, q-painlevé systems arising from W (A (1) 4 ), Okamotoken Seminar, Tokyo, Japan. 31 Jul Nobutaka Nakazono,

9 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 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 Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, Aoyama Suuri Seminar, Kanagawa, Japan. 15 Dec Kenji Kajiwara, Nobutaka Nakazono and Teruhisa Tsuda, Symmetrization of q-painlevé systems and hypergeometric solutions, Okamotoken Seminar, Tokyo, Japan. 8 Aug Nobutaka Nakazono, Symmetrized q-painlevé systems and hypergeometric solutions, Summer Seminar of Functional Equation Theory 2008, Toyama, Japan.

Curriculum Vitae : Doctor Christopher Michael Ormerod

Curriculum Vitae : Doctor Christopher Michael Ormerod Personal Information Name: Christopher Michael Ormerod Email: christopher.ormerod@gmail.com Date of Birth: 25 th of January 1982 Address: 71 N Wilson