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Arxiv:1006.1489V2 [Math.GT] 8 Aug 2010 Ril.Ias Rfie Rmraigtesre Rils[14 Articles Survey the Reading from Profited Also I Article
Pure and Applied Mathematics Quarterly Volume 8, Number 1 (Special Issue: In honor of F. Thomas Farrell and Lowell E. Jones, Part 1 of 2 ) 1—14, 2012 The Work of Tom Farrell and Lowell Jones in Topology and Geometry James F. Davis∗ Tom Farrell and Lowell Jones caused a paradigm shift in high-dimensional topology, away from the view that high-dimensional topology was, at its core, an algebraic subject, to the current view that geometry, dynamics, and analysis, as well as algebra, are key for classifying manifolds whose fundamental group is infinite. Their collaboration produced about fifty papers over a twenty-five year period. In this tribute for the special issue of Pure and Applied Mathematics Quarterly in their honor, I will survey some of the impact of their joint work and mention briefly their individual contributions – they have written about one hundred non-joint papers. 1 Setting the stage arXiv:1006.1489v2 [math.GT] 8 Aug 2010 In order to indicate the Farrell–Jones shift, it is necessary to describe the situation before the onset of their collaboration. This is intimidating – during the period of twenty-five years starting in the early fifties, manifold theory was perhaps the most active and dynamic area of mathematics. Any narrative will have omissions and be non-linear. Manifold theory deals with the classification of ∗I thank Shmuel Weinberger and Tom Farrell for their helpful comments on a draft of this article. I also profited from reading the survey articles [14] and [4]. 2 James F. Davis manifolds. There is an existence question – when is there a closed manifold within a particular homotopy type, and a uniqueness question, what is the classification of manifolds within a homotopy type? The fifties were the foundational decade of manifold theory. -
Liverpool Capstone Theatre 25 June 2015 What’S Thepoint? Summer Shows for Year 9S and 10S
Liverpool Capstone Theatre 25 June 2015 what’s thePOINT? Summer ShowS for Year 9s and 10s A fantastic outing, all our students enjoyed it Maths Teacher, South Liverpool mathsinspiration.com what’s Matt Parker is known as the ‘stand-up mathematician’ and is the only person thePOINT? to hold the prestigious title of London SUMMER SHOWS FOR YEAR 9s AND 10s Mathematical Society Popular Lecturer while simultaneously having a sold-out comedy show at the Edinburgh Festival Fringe. A regular on Liverpool Capstone Theatre Numberphile, Matt is always keen to mix his two passions of Thurs 25 June 2015, mathematics and stand-up as well as presenting TV and 10.30am–12.30pm & 1.30pm–3:30pm radio shows. Rob Eastaway is an author whose Tickets: £7.50 (inc VAT). For each 10 student ticket books on everyday maths include the purchases we include a free Teacher ticket. bestselling Why Do Buses Come In Threes? and The Hidden Maths of Sport. Inspire your Year 9s and 10s – even the ones who He appears regularly on BBC Radio 4 and don’t love maths – with a lecture show featuring 5 Live to talk about the maths of everyday life and has given some of the country’s most entertaining maths maths talks around the world to audiences of all ages. speakers. Hannah Fry is a mathematician at Do your students wonder what’s the point of University College London (or ‘Mathmo at algebra? Who on earth needs Pythagoras? UCL’ for short) as well as being an author and science presenter. You can find her And who cares about exponentials? on YouTube, TV and radio sharing her In this highly engaging and interactive show Matt Parker, love of applied mathematics and exploring the patterns it Rob Eastaway and Hannah Fry (plus special guest) explain reveals in our human behaviour. -
Blueprint Staff Magazine for the University of Oxford | September 2016
blueprint Staff magazine for the University of Oxford | September 2016 Chemistry’s organic growth | Secrets of successful spelling | Oxford time News in brief u Oxford has topped the Times Higher research fellow at the college, set off at 6.30am Education World University Rankings for and arrived at Homerton, Harris Manchester’s 2016–17 – the first time in the 13-year history of twin college, in the afternoon. OxfordUniversity Images/Rob Judges the rankings that a UK institution has secured the top spot. The rankings judge research-intensive u The University’s phone system is being universities across five areas: teaching, research, replaced by a new service called Chorus. citations, international outlook and knowledge The service is being rolled out on a building- transfer. In total UK institutions took 91 of the by-building basis between autumn 2016 and 980 places, with the University of Cambridge spring 2018. Chorus will deliver replacement (fourth) and Imperial College London (eighth) phones together with access to a web portal, also making the top ten. which will provide additional functionality such as managing your voicemail, accessing u The University and local NHS partners have your call history, and sending and receiving won £126.5m to support medical research. instant messages. Details at https://projects.it. The money, from the National Institute for ox.ac.uk/icp. Health Research, includes £113.7m for the existing University of Oxford/Oxford University u The University has opened a new nursery Hospitals Biomedical Research Centre, and on the Old Road Campus in Headington, £12.8m for a new Biomedical Research Centre bringing the total number of University-owned specialising in mental health and dementia, nurseries to five. -
Elect Your Council
Volume 41 • Issue 3 IMS Bulletin April/May 2012 Elect your Council Each year IMS holds elections so that its members can choose the next President-Elect CONTENTS of the Institute and people to represent them on IMS Council. The candidate for 1 IMS Elections President-Elect is Bin Yu, who is Chancellor’s Professor in the Department of Statistics and the Department of Electrical Engineering and Computer Science, at the University 2 Members’ News: Huixia of California at Berkeley. Wang, Ming Yuan, Allan Sly, The 12 candidates standing for election to the IMS Council are (in alphabetical Sebastien Roch, CR Rao order) Rosemary Bailey, Erwin Bolthausen, Alison Etheridge, Pablo Ferrari, Nancy 4 Author Identity and Open L. Garcia, Ed George, Haya Kaspi, Yves Le Jan, Xiao-Li Meng, Nancy Reid, Laurent Bibliography Saloff-Coste, and Richard Samworth. 6 Obituary: Franklin Graybill The elected Council members will join Arnoldo Frigessi, Steve Lalley, Ingrid Van Keilegom and Wing Wong, whose terms end in 2013; and Sandrine Dudoit, Steve 7 Statistical Issues in Assessing Hospital Evans, Sonia Petrone, Christian Robert and Qiwei Yao, whose terms end in 2014. Performance Read all about the candidates on pages 12–17, and cast your vote at http://imstat.org/elections/. Voting is open until May 29. 8 Anirban’s Angle: Learning from a Student Left: Bin Yu, candidate for IMS President-Elect. 9 Parzen Prize; Recent Below are the 12 Council candidates. papers: Probability Surveys Top row, l–r: R.A. Bailey, Erwin Bolthausen, Alison Etheridge, Pablo Ferrari Middle, l–r: Nancy L. Garcia, Ed George, Haya Kaspi, Yves Le Jan 11 COPSS Fisher Lecturer Bottom, l–r: Xiao-Li Meng, Nancy Reid, Laurent Saloff-Coste, Richard Samworth 12 Council Candidates 18 Awards nominations 19 Terence’s Stuff: Oscars for Statistics? 20 IMS meetings 24 Other meetings 27 Employment Opportunities 28 International Calendar of Statistical Events 31 Information for Advertisers IMS Bulletin 2 . -
Pila, O-Minimality and Diophantine Geometry
O-minimality and Diophantine geometry Jonathan Pila Abstract. This lecture is concerned with some recent applications of mathematical logic to Diophantine geometry. More precisely it concerns applications of o-minimality, a branch of model theory which treats tame structures in real geometry, to certain finiteness problems descending from the classical conjecture of Mordell. Mathematics Subject Classification (2010). Primary 03C64, 11G18. Keywords. O-minimal structure, Andr´e-Oortconjecture, Zilber-Pink conjecture. 1. Introduction This is a somewhat expanded version of my lecture at ICM 2014 in Seoul. It surveys some recent interactions between model theory and Diophantine geometry. The Diophantine problems to be considered are of a type descending from the classical Mordell conjecture (theorem of Faltings). I will describe the passage from Mordell's conjecture to the far-reaching Zilber-Pink conjecture, which is very much open and the subject of lively study by a variety of methods on several fronts. The model theory is \o-minimality", which studies tame structures in real geometry, and offers powerful tools applicable to certain “definable” sets. In combination with an elementary analytic method for \counting rational points" it leads to a general result about the height distribution of rational points on definable sets. This result can be successfully applied to Zilber-Pink problems in the presence of certain functional transcendence and arithmetic ingredients which are known in many cases but seemingly quite difficult in general. Both the methods and problems have connections with transcendental number theory. My further objective is to explain these connections and to bring out the pervasive presence of Schanuel's conjecture. -
I. Overview of Activities, April, 2005-March, 2006 …
MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 …......……………………. 2 Innovations ………………………………………………………..... 2 Scientific Highlights …..…………………………………………… 4 MSRI Experiences ….……………………………………………… 6 II. Programs …………………………………………………………………….. 13 III. Workshops ……………………………………………………………………. 17 IV. Postdoctoral Fellows …………………………………………………………. 19 Papers by Postdoctoral Fellows …………………………………… 21 V. Mathematics Education and Awareness …...………………………………. 23 VI. Industrial Participation ...…………………………………………………… 26 VII. Future Programs …………………………………………………………….. 28 VIII. Collaborations ………………………………………………………………… 30 IX. Papers Reported by Members ………………………………………………. 35 X. Appendix - Final Reports ……………………………………………………. 45 Programs Workshops Summer Graduate Workshops MSRI Network Conferences MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 This annual report covers MSRI projects and activities that have been concluded since the submission of the last report in May, 2005. This includes the Spring, 2005 semester programs, the 2005 summer graduate workshops, the Fall, 2005 programs and the January and February workshops of Spring, 2006. This report does not contain fiscal or demographic data. Those data will be submitted in the Fall, 2006 final report covering the completed fiscal 2006 year, based on audited financial reports. This report begins with a discussion of MSRI innovations undertaken this year, followed by highlights -
The Beauty, Power and Future of Mathematics I Am Thrilled and at The
The Beauty, Power and Future of Mathematics I am thrilled and at the same time humble to be honored by the Doctor Honoris Causa of the University Politehnica of Bucharest. Romania is a country with a very excellent tradition of mathematics at the very best. When I was in high school in Hong Kong, I read with care an elementary book by Popa with lucid explanation and colorful illustrations of basic mathematical concepts. During my undergraduate studies at Sir George Williams University in Montreal, a professor introduced me to Barbu’s works on nonlinear differential and integral equations. I should also mention that he introduced me to the book on linear partial differential operators by Hörmander. When I was a graduate student at the University of Toronto working under the supervision of Professor Atkinson, I learned Fredholm operators from him and the works of Foias and Voiculescu from the operator theory group. I was also influenced by the school of harmonic analysts led by E. M. Stein at Princeton. When I was a visiting professor at the University of California at Irvine, I learned from Martin Schechter of the works of Foias on nonlinear partial differential equations. This education path of mine points clearly to the influence of Romanian mathematics on me, the importance of knowing in depth different but related fields and my life‐long works on pseudo‐differential operators and related topics in mathematics and quantum physics. I chose to specialize in mathematics when I was in grade 10 at Kowloon Technical School in Hong Kong dated back to 1967, not least inspired by an inspiring teacher. -
A Comparitive Study of Asymmetric Key Cryptography
Vol-5 Issue-3 2019 IJARIIE-ISSN(O)-2395-4396 A COMPARITIVE STUDY OF ASYMMETRIC KEY CRYPTOGRAPHY Dr. Prashant P. Pittalia Associate Professor, Department of Computer Science, Gujarat, India ABSTRACT Cryptography is use to secure the computer networks. Cryptography converts the plain text into cipher text such a way that it is impossible for intruders to read and understand the content. Asymmetric key cryptography is based on the public key and private key concepts to support the confidentiality and authentication services in computer networks. This paper describes how confidentiality and authentication service provides by asymmetric key algorithms. In this paper the discussion and comparison of a asymmetric key algorithms like RSA, Diffie-Hellman, ElGamal and ECC. Keyword: - RSA, Authentication, Public key, Private Key, Confidentiality 1. INTRODUCTION Today in global village the internet security is the challenging aspect and cryptography is used for it. Cryptography is the mathematical techniques of information security. It supports confidentiality, privacy, and data integrity and entity authentication. Cryptography systems classified into two main categories symmetric-key cryptography that use a symmetric key used by both sender and recipient and a public-key cryptography that use two keys, a public key known to everyone in the network and a private key that is used by only the recipient of the messages. Symmetric algorithms use the same secret key for both encryption of plaintext and decryption of cipher text. The keys may be same or there may be an easy transformation to go between the two keys. The key is shared between the two parties (sender and receiver) who want to communicate. -
Issue 73 ISSN 1027-488X
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Feature History Interview ERCOM Hedgehogs Richard von Mises Mikhail Gromov IHP p. 11 p. 31 p. 19 p. 35 September 2009 Issue 73 ISSN 1027-488X S E European M M Mathematical E S Society Geometric Mechanics and Symmetry Oxford University Press is pleased to From Finite to Infinite Dimensions announce that all EMS members can benefit from a 20% discount on a large range of our Darryl D. Holm, Tanya Schmah, and Cristina Stoica Mathematics books. A graduate level text based partly on For more information please visit: lectures in geometry, mechanics, and symmetry given at Imperial College www.oup.co.uk/sale/science/ems London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the FORTHCOMING subject. Differential Equations with Linear 2009 | 460 pp Algebra Paperback | 978-0-19-921291-0 | £29.50 Matthew R. Boelkins, Jack L Goldberg, Hardback | 978-0-19-921290-3 | £65.00 and Merle C. Potter Explores the interplaybetween linear FORTHCOMING algebra and differential equations by Thermoelasticity with Finite Wave examining fundamental problems in elementary differential equations. This Speeds text is accessible to students who have Józef Ignaczak and Martin completed multivariable calculus and is appropriate for Ostoja-Starzewski courses in mathematics and engineering that study Extensively covers the mathematics of systems of differential equations. two leading theories of hyperbolic October 2009 | 464 pp thermoelasticity: the Lord-Shulman Hardback | 978-0-19-538586-1 | £52.00 theory, and the Green-Lindsay theory. Oxford Mathematical Monographs Introduction to Metric and October 2009 | 432 pp Topological Spaces Hardback | 978-0-19-954164-5 | £70.00 Second Edition Wilson A. -
Boletín De La RSME
Boletín de la RSME Número 297, 16 de enero de 2012 Sumario Noticias de la RSME Noticias de la RSME Encuentro Conjunto RSME-SMM. Antonio Campillo. Torremolinos, Málaga, 17-20 de enero El programa científico consta de veinticuatro • Encuentro Conjunto RSME- La Real Sociedad Matemática Española y la sesiones especiales, ocho conferencias ple- SMM. Torremolinos, Málaga, Sociedad Matemática Mexicana celebran el narias y la conferencia de clausura del profe- 17-20 de enero Segundo Encuentro Conjunto RSME-SMM en sor Federico Mayor Zaragoza con el título preciso “La comunidad científica ante los de- • Noticias del CIMPA el Hotel Meliá Costa del Sol de Torremolinos (Málaga) los próximos días 17, 18, 19 y 20 de safíos presentes”. Como en la primera edi- • Acuerdo entre cuatro insti- enero. El Primer Encuentro Conjunto se ce- ción, el congreso ha programado alrededor tuciones para la creación del lebró en Oaxaca en julio de 2009 y la serie de doscientas conferencias invitadas, la mitad IEMath. Documento de In- continuará cada tres años a partir de 2014, de las cuales corresponden a la parte mexi- cana y la otra mitad a la española. vestigación de la RSME año en el que está prevista la tercera edición en México. El comité organizador está presi- Las conferencias plenarias están a cargo de • Ampliación del orden del dido por Daniel Girela, e integrado por José Samuel Gitler, José Luis Alías, José María día de la Junta General Ordi- Luis Flores, Cristóbal González, Francisco Pérez Izquierdo, Jorge Velasco, María Emilia naria de la RSME Javier Martín Reyes, María Lina Martínez, Caballero, Javier Fernández de Bobadilla, Francisco José Palma, José Ángel Peláez y • Noticia de la COSCE: Nue- Xavier Gómez-Mont y Eulalia Nulart. -
Keep on Learning in Maths!
Keep on learning in Maths! Are you enjoying your maths work? Are you looking for something more? Are you in Year 11 and considering maths for A-Level? This is the place for you! We have tried to put together some ideas for you to extend your mathematical knowledge beyond what MyMaths and Kerboodle. None of this work is compulsory and we will not be assessing it, BUT if you have a go at it and want to share your work then please do! We would love to hear from you all Year 7 ● Have a go at some of the MyMaths games. They can be found on the left hand side menu under Activities. The games are split into Number, Algebra, Shape and Data so you can pick different ones to play. Challenge your friends! ● Some more challenging mathematical games can be found here: https://nrich.maths.org/9465. I particularly liked Last Biscuit ● Watch a documentary or a TED talk about applied maths- a list is attached at the bottom of this document Year 8 ● Have a go at some of the MyMaths games. They can be found on the left hand side menu under Activities. The games are split into Number, Algebra, Shape and Data so you can pick different ones to play. Challenge your friends! ● Nrich have a number of short problems here https://nrich.maths.org/11993 ● Watch a documentary or a TED talk about applied maths- a list is attached at the bottom of this document Year 9 ● Do you enjoy things like Sudoku? Then the game 2048 might be the one for you! You can download it onto your phone or go to https://2048game.com/ to play ● Some challenging maths problems and games here https://wild.maths.org/. -
Algebra & Number Theory Vol. 7 (2013)
Algebra & Number Theory Volume 7 2013 No. 3 msp Algebra & Number Theory msp.org/ant EDITORS MANAGING EDITOR EDITORIAL BOARD CHAIR Bjorn Poonen David Eisenbud Massachusetts Institute of Technology University of California Cambridge, USA Berkeley, USA BOARD OF EDITORS Georgia Benkart University of Wisconsin, Madison, USA Susan Montgomery University of Southern California, USA Dave Benson University of Aberdeen, Scotland Shigefumi Mori RIMS, Kyoto University, Japan Richard E. Borcherds University of California, Berkeley, USA Raman Parimala Emory University, USA John H. Coates University of Cambridge, UK Jonathan Pila University of Oxford, UK J-L. Colliot-Thélène CNRS, Université Paris-Sud, France Victor Reiner University of Minnesota, USA Brian D. Conrad University of Michigan, USA Karl Rubin University of California, Irvine, USA Hélène Esnault Freie Universität Berlin, Germany Peter Sarnak Princeton University, USA Hubert Flenner Ruhr-Universität, Germany Joseph H. Silverman Brown University, USA Edward Frenkel University of California, Berkeley, USA Michael Singer North Carolina State University, USA Andrew Granville Université de Montréal, Canada Vasudevan Srinivas Tata Inst. of Fund. Research, India Joseph Gubeladze San Francisco State University, USA J. Toby Stafford University of Michigan, USA Ehud Hrushovski Hebrew University, Israel Bernd Sturmfels University of California, Berkeley, USA Craig Huneke University of Virginia, USA Richard Taylor Harvard University, USA Mikhail Kapranov Yale University, USA Ravi Vakil Stanford University,