The Australian Mathematical Society (Inc) Reports for the Sixtieth Annual
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Arxiv:2107.06030V2 [Math.HO] 18 Jul 2021 Jonathan Michael Borwein
Jonathan Michael Borwein 1951 { 2016: Life and Legacy Richard P. Brent∗ Abstract Jonathan M. Borwein (1951{2016) was a prolific mathematician whose career spanned several countries (UK, Canada, USA, Australia) and whose many interests included analysis, optimisation, number theory, special functions, experimental mathematics, mathematical finance, mathematical education, and visualisation. We describe his life and legacy, and give an annotated bibliography of some of his most significant books and papers. 1 Life and Family Jonathan (Jon) Michael Borwein was born in St Andrews, Scotland, on 20 May 1951. He was the first of three children of David Borwein (1924{2021) and Bessie Borwein (n´eeFlax). It was an itinerant academic family. Both Jon's father David and his younger brother Peter Borwein (1953{2020) are well-known mathematicians and occasional co-authors of Jon. His mother Bessie is a former professor of anatomy. The Borweins have an Ashkenazy Jewish background. Jon's father was born in Lithuania, moved in 1930 with arXiv:2107.06030v4 [math.HO] 15 Sep 2021 his family to South Africa (where he met his future wife Bessie), and moved with Bessie to the UK in 1948. There he obtained a PhD (London) and then a Lectureship in St Andrews, Scotland, where Jon was born and went to school at Madras College. The family, including Jon and his two siblings, moved to Ontario, Canada, in 1963. In 1971 Jon graduated with a BA (Hons ∗Mathematical Sciences Institute, Australian National University, Canberra, ACT. Email: <[email protected]>. 1 Math) from the University of Western Ontario. It was in Ontario that Jon met his future wife and lifelong partner Judith (n´eeRoots). -
Cores of Symmetric Graphs
J. Aust. Math. Soc. 85 (2008), 145–154 doi:10.1017/S1446788708000815 CORES OF SYMMETRIC GRAPHS PETER J. CAMERON ˛ and PRISCILA A. KAZANIDIS (Received 17 February 2008; accepted 1 April 2008) Communicated by Peter M. Neumann Dedicated to Cheryl Praeger for her sixtieth birthday Abstract The core of a graph 0 is the smallest graph 1 that is homomorphically equivalent to 0 (that is, there exist homomorphisms in both directions). The core of 0 is unique up to isomorphism and is an induced subgraph of 0. We give a construction in some sense dual to the core. The hull of a graph 0 is a graph containing 0 as a spanning subgraph, admitting all the endomorphisms of 0, and having as core a complete graph of the same order as the core of 0. This construction is related to the notion of a synchronizing permutation group, which arises in semigroup theory; we provide some more insight by characterizing these permutation groups in terms of graphs. It is known that the core of a vertex-transitive graph is vertex-transitive. In some cases we can make stronger statements: for example, if 0 is a non- edge-transitive graph, we show that either the core of 0 is complete, or 0 is its own core. Rank-three graphs are non-edge-transitive. We examine some families of these to decide which of the two alternatives for the core actually holds. We will see that this question is very difficult, being equivalent in some cases to unsolved questions in finite geometry (for example, about spreads, ovoids and partitions into ovoids in polar spaces). -
News in Asia Pacific Region
Asia Pacific Mathematics Newsletter News in Asia Pacific Region News from Australia researchers from other countries, and to run events and public outreach programs connected to research in the Conference in Honour of Cheryl Praeger’s 70th mathematical sciences. Wherever possible SMRI will Birthday act in concert with other institutes, avoiding unnecessary duplication and competition, to help bring about the The Third International Conference on Group Actions greatest benefit for the discipline nationally. and Transitive Graphs was held at SUST Shenzhen, China, 12–14 October 2018, in honour of Cheryl Awards and Other Achievements Praeger’s 70th birthday. Australian National University The Sydney Mathematical Research Institute • Dr. Anthony Licata was awarded an ARC Future Fellowship in Round 1 of 2018. On 12 November 2018, the University of Sydney officially launched a new “flagship initiative”, the Sydney • ANU alumnus Allan Sly is one of the 25 recipients Mathematical Research Institute (SMRI), with Professor of the 2018 MacArthur Fellows Program, a grant that Geordie Williamson as Director and Anthony according to the foundation ‘celebrates exceptional Henderson as Executive Director. The webpage is creativity and significant accomplishment with the https://sydney.edu.au/research/centres/mathema- promise of important future advances and the ticalresearch-institute.html. potential to facilitate subsequent creative work’. The MacArthur Fellowship is a ‘no strings attached’ This launch followed one of the most successful and award in support of people, not projects. Each rapid funding drives in Australian mathematical fellowship comes with a stipend of $625,000 to the history, led by Professor Jacqui Ramagge (the Head of recipient. -
Geometry, Combinatorial Designs and Cryptology Fourth Pythagorean Conference
Geometry, Combinatorial Designs and Cryptology Fourth Pythagorean Conference Sunday 30 May to Friday 4 June 2010 Index of Talks and Abstracts Main talks 1. Simeon Ball, On subsets of a finite vector space in which every subset of basis size is a basis 2. Simon Blackburn, Honeycomb arrays 3. G`abor Korchm`aros, Curves over finite fields, an approach from finite geometry 4. Cheryl Praeger, Basic pregeometries 5. Bernhard Schmidt, Finiteness of circulant weighing matrices of fixed weight 6. Douglas Stinson, Multicollision attacks on iterated hash functions Short talks 1. Mari´en Abreu, Adjacency matrices of polarity graphs and of other C4–free graphs of large size 2. Marco Buratti, Combinatorial designs via factorization of a group into subsets 3. Mike Burmester, Lightweight cryptographic mechanisms based on pseudorandom number generators 4. Philippe Cara, Loops, neardomains, nearfields and sets of permutations 5. Ilaria Cardinali, On the structure of Weyl modules for the symplectic group 6. Bill Cherowitzo, Parallelisms of quadrics 7. Jan De Beule, Large maximal partial ovoids of Q−(5, q) 8. Bart De Bruyn, On extensions of hyperplanes of dual polar spaces 1 9. Frank De Clerck, Intriguing sets of partial quadrangles 10. Alice Devillers, Symmetry properties of subdivision graphs 11. Dalibor Froncek, Decompositions of complete bipartite graphs into generalized prisms 12. Stelios Georgiou, Self-dual codes from circulant matrices 13. Robert Gilman, Cryptology of infinite groups 14. Otokar Groˇsek, The number of associative triples in a quasigroup 15. Christoph Hering, Latin squares, homologies and Euler’s conjecture 16. Leanne Holder, Bilinear star flocks of arbitrary cones 17. Robert Jajcay, On the geometry of cages 18. -
Jonathan Borwein, Pi and the AGM
Jonathan Borwein, Pi and the AGM Richard P. Brent Australian National University, Canberra and CARMA, University of Newcastle 26 Sept 2017 In fond memory of Jon Borwein 1951–2016 210eπ days was not enough Copyright c 2017, R. P. Brent Richard Brent Jon Borwein, π and the AGM Abstract We consider some of Jon Borwein’s contributions to the high-precision computation of π and the elementary functions, with particular reference to the fascinating book Pi and the AGM (Wiley, 1987) by Jon and his brother Peter Borwein. Here “AGM” is the arithmetic-geometric mean, first studied by Euler, Gauss and Legendre. Because the AGM has second-order convergence, it can be combined with fast multiplication algorithms to give fast algorithms for the n-bit computation of π, and more generally the elementary functions. These algorithms run in “almost linear” time O(M(n) log n), where M(n) is the time for n-bit multiplication. The talk will survey some of the results and algorithms, from the time of Archimedes to the present day, that were of interest to Jon. In several cases they were discovered or improved by him. Jon Borwein, π and the AGM Abstract A message from Peter Borwein Peter Borwein writes: “I would’ve loved to attend. But unfortunately I have multiple sclerosis. It makes it impossible to travel. If you could pass on my regards and best wishes to everyone I would greatly appreciate it. Thank you” Jon Borwein, π and the AGM A message from Peter Why π? Why was Jon interested in π? Perhaps because it is transcendental but appears in many mathematical formulas. -
The 48Th Annual Meeting of the Australian Mathematical Society
298 The 48th annual meeting of the Australian Mathematical So- ciety The 48th annual meeting of the Australian and Mathematics at the University of Mel- Mathematical Society took place at RMIT bourne between 1935 and 1945. in Melbourne from September 28 till Octo- Of course, as with all good conferences, ber 1. With a record number of 50 students organisers and participants alike were held attending (34 of whom presented talks), and in suspense over whether some of the more close to 20 oversees participants taking part emminent guests would actually make their from a healthy total of 199 attendees, the appearance. Due to fog at Melbourne meeting organised by Kathy Horadam, An- Airport on the first day of the meeting, drew Eberhard, Asha Rao was a great suc- George Szekeres’ flight took a U turn back cess. As a first for the annual meeting, to Adelaide. George consequently missed the organising committee was assisted by a the opening session and the presentation of team of professional conference organisers. the Szekeres medal. Fortunately, improved A strong drawcard of the organisers was weather conditions in the afternoon allowed the exciting list of plenary speakers, includ- him to belatedly congratulate Bob Ander- ing the 2002 Fields medalist Vladimir Vo- son and to taste the special 2000 vintage evodsky and the mountaineer, entertainer GSM wine. Vladimir Voevodsky also lived and integer sequence guru Neil Sloane. The up to his reputation by not turning up for full list of plenary speakers was made up of his plenary lecture on the Wednesday morn- ing, his spot being filled by Ralph Stan- • Rosemary Bailey (QMC) – Association ton. -
A Short Walk Can Be Beautiful
Journal of Humanistic Mathematics Volume 6 | Issue 1 January 2016 A Short Walk can be Beautiful Jonathan M. Borwein University of Newcastle Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Physical Sciences and Mathematics Commons Recommended Citation Borwein, J. M. "A Short Walk can be Beautiful," Journal of Humanistic Mathematics, Volume 6 Issue 1 (January 2016), pages 86-109. DOI: 10.5642/jhummath.201601.07 . Available at: https://scholarship.claremont.edu/jhm/vol6/iss1/7 ©2016 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. A Short Walk can be Beautiful Jonathan M. Borwein CARMA, University of Newcastle, AUSTRALIA [email protected] Abstract The story I tell is of research undertaken, with students and colleagues, in the last six or so years on short random walks. As the research progressed, my crite- ria for beauty changed. Things seemingly remarkable became simple and other seemingly simple things became more remarkable as our analytic and compu- tational tools were refined, and understanding improved. -
Curriculum Vitae Professor Jacqui Ramagge Faustms MAICD
Curriculum Vitae Professor Jacqui Ramagge FAustMS MAICD Professor and Head of the School of Mathematics and Statistics at the University of Sydney Contact Details : (+61 2) 9351 4533 H: 0407 065 911 k: [email protected] m: www.jacquiramagge.com Qualifications 1993 PhD Mathematics University of Warwick, UK 1990 MSc Mathematics University of Warwick, UK 1988 BA (First Class) Mathematics University of Warwick, UK Professional Development 2015 General Management Program Harvard Business School 2014 Foundations of Directorship Aust. Inst. of Company Directors 2008 Resolving conflict using emotional intelligence AVCC workshop Employment History 2015– Professor University of Sydney (USyd) 2007–2015 Academic (Levels D–E) University of Wollongong (UOW) 1993–2007 Academic (Levels A–C) University of Newcastle (UoN) Leadership Positions Held 2017 President Elect Australian Mathematical Society 2017– Chair Australian Council of Heads of Maths and Stats Australian Mathematical Society (AustMS) 2017– Chief Editor Lecture Series, AustMS, Editor since 2011 2016– Head School of Mathematics and Statistics, USyd 2014 Chair Australian Research Council (ARC) Laureate Fellowship Selection Advisory Committee (SAC) 2009–2013 Head School of Mathematics and Applied Statistics (SMAS), UOW 2012 Dep. Chair ARC Discovery Early Career Researcher Award Committee 2008-2009 Director AMSI Summer School, held at UOW 2006 Director Women@UoN Program, UoN 2005 Assist. Dean Marketing and Recruitment, Faculty of Science and IT, UoN 1995–2005 Chair Committee for the BH -
After COVID-19: Creating the Best of Times from the Worst of Times
After COVID-19: Creating the Best of Times from the Worst of Times Thursday 5th November, 2020 Government House, Sydney One hundred years after the 1918 Spanish flu claimed more than 50 million lives, pandemics remain on the list of major global risks. They are difficult to predict and invariably alter the course of history in ways we cannot foresee. The impact of this year’s COVID-19 pandemic spread quickly well beyond the people it infected, creating massive shifts across society and all sectors of the economy. The pandemic has exposed the social and economic vulnerabilities of today’s highly leveraged and interconnected world. It has also compounded prevailing existential risks for Australia, including the impact of climate change, a decade of household income stagnation, and an erosion of critically important political institutions that underpin national prosperity and our free, open, democratic society. The Royal Society of New South Wales will again join with the four Learned Academies of Australia to stage our annual Forum in Government House, Sydney, on 5th November under the gracious Vice Regal Patronage of Her Excellency the Honourable Margaret Beazley AC QC, Governor of New South Wales.The Forum will examine how the COVID-19 pandemic has become a wake-up call for all of us to drive a wide-ranging, national program that will create a more resilient, self-sufficient and prosperous Australia. Transformations achieved already during the pandemic include escalations of telemedicine, automation, and digital commerce and communications, to name but a few. These show us what is possible when the wrecking-ball of a virus exacts its human and economic toll. -
April 2017 Table of Contents
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society April 2017 Volume 64, Number 4 AMS Prize Announcements page 311 Spring Sectional Sampler page 333 AWM Research Symposium 2017 Lecture Sampler page 341 Mathematics and Statistics Awareness Month page 362 About the Cover: How Minimal Surfaces Converge to a Foliation (see page 307) MATHEMATICAL CONGRESS OF THE AMERICAS MCA 2017 JULY 2428, 2017 | MONTREAL CANADA MCA2017 will take place in the beautiful city of Montreal on July 24–28, 2017. The many exciting activities planned include 25 invited lectures by very distinguished mathematicians from across the Americas, 72 special sessions covering a broad spectrum of mathematics, public lectures by Étienne Ghys and Erik Demaine, a concert by the Cecilia String Quartet, presentation of the MCA Prizes and much more. SPONSORS AND PARTNERS INCLUDE Canadian Mathematical Society American Mathematical Society Pacifi c Institute for the Mathematical Sciences Society for Industrial and Applied Mathematics The Fields Institute for Research in Mathematical Sciences National Science Foundation Centre de Recherches Mathématiques Conacyt, Mexico Atlantic Association for Research in Mathematical Sciences Instituto de Matemática Pura e Aplicada Tourisme Montréal Sociedade Brasileira de Matemática FRQNT Quebec Unión Matemática Argentina Centro de Modelamiento Matemático For detailed information please see the web site at www.mca2017.org. AMERICAN MATHEMATICAL SOCIETY PUSHING LIMITS From West Point to Berkeley & Beyond PUSHING LIMITS FROM WEST POINT TO BERKELEY & BEYOND Ted Hill, Georgia Tech, Atlanta, GA, and Cal Poly, San Luis Obispo, CA Recounting the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School, and the Vietnam War, this is the tale of an academic career as noteworthy for its o beat adventures as for its teaching and research accomplishments. -
CSIRO Annual Report 2004-05
CSIRO Annual ReportAnnual 2004–05 Annual Report 2004–05 General Enquiries Tel: 1300 363 400 International: +61 3 9545 2176 Email : [email protected] Web: www.csiro.au www.csiro.au Letter of transmittal The Hon Dr Brendan Nelson MP Minister for Education, Science and Training Parliament House CANBERRA ACT 2600 We have pleasure in submitting to you, for presentation to Parliament, the fifty-seventh Annual Report of the Commonwealth Scientific and Industrial Research Organisation. This report has been prepared in accordance with the requirements of the Science and Industry Research Act 1949 and in accordance with section 9 of the Commonwealth Authorities and Companies Act 1997 (CAC Act). CSIRO – the Commonwealth Scientific and Industrial Research Organisation – is one of the largest and most diverse scientific organisations in the world. It has 6 576 staff located across 57 sites Under section 9 of the CAC Act, CSIRO Board members are responsible for producing an throughout Australia and overseas. annual report in accordance with the rules laid down in Schedule 1 of this Act, including a ‘Report of Operations’ prepared in accordance with the Finance Minister’s Orders. CSIRO is an independent statutory authority constituted and operating under the provisions of the Science and Industry Research Act 1949 and the Commonwealth Authorities and Companies Act 1997. This report presents fairly the information required by the Minister for Finance and Administration as set out in the Commonwealth Authorities and Companies (Report of Operations) Orders 2005. Our purpose states: The report has been approved for presentation to you, signed this 24th day of August 2005 in By igniting the creative spirit of our people, we deliver great science and innovative solutions for accordance with a resolution of the Board members. -
Cristian S. Calude Curriculum Vitæ: August 6, 2021
Cristian S. Calude Curriculum Vitæ: August 6, 2021 Contents 1 Personal Data 2 2 Education 2 3 Work Experience1 2 3.1 Academic Positions...............................................2 3.2 Research Positions...............................................3 3.3 Visiting Positions................................................3 3.4 Expert......................................................4 3.5 Other Positions.................................................5 4 Research2 5 4.1 Papers in Refereed Journals..........................................5 4.2 Papers in Refereed Conference Proceedings................................. 14 4.3 Papers in Refereed Collective Books..................................... 18 4.4 Monographs................................................... 20 4.5 Popular Books................................................. 21 4.6 Edited Books.................................................. 21 4.7 Edited Special Issues of Journals....................................... 23 4.8 Research Reports............................................... 25 4.9 Refereed Abstracts............................................... 33 4.10 Miscellanea Papers and Reviews....................................... 35 4.11 Research Grants................................................ 40 4.12 Lectures at Conferences (Some Invited)................................... 42 4.13 Invited Seminar Presentations......................................... 49 4.14 Post-Doctoral Fellows............................................. 57 4.15 Research Seminars..............................................