150Th Anniversary Celebrations
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You and AI Conversations About AI Technologies and Their Implications for Society
You and AI Conversations about AI technologies and their implications for society SUPPORTED BY CONVERSATIONS ABOUT AI TECHNOLOGIES AND THEIR IMPLICATIONS FOR SOCIETY DeepMind1 2 CONVERSATIONS ABOUT AI TECHNOLOGIES AND THEIR IMPLICATIONS FOR SOCIETY You and AI Conversations about AI technologies and their implications for society Artificial Intelligence (AI) is the science of making computer systems smart, and an umbrella term for a range of technologies that carry out functions that typically require intelligence in humans. AI technologies already support many everyday products and services, and the power and reach of these technologies are advancing at pace. The Royal Society is working to support an environment of careful stewardship of AI technologies, so that their benefits can be brought into being safely and rapidly, and shared across society. In support of this aim, the Society’s You and AI series brought together leading AI researchers to contribute to a public conversation about advances in AI and their implications for society. CONVERSATIONS ABOUT AI TECHNOLOGIES AND THEIR IMPLICATIONS FOR SOCIETY 3 What AI can, and cannot, do The last decade has seen exciting developments in AI – and AI researchers are tackling some fundamental challenges to develop it further AI research seeks to understand what happens or inputs do not follow a standard intelligence is, and then recreate this through pattern, these systems cannot adapt their computer systems that can automatically rules or adjust their approach. perform tasks that require some level of reasoning or intelligence in humans. In the last decade, new methods that use learning algorithms have helped create In the past, AI research has concentrated computer systems that are more flexible on creating detailed rules for how to carry and adaptive, and Demis Hassabis FRS out a task and then developing computer (co-founder, DeepMind) has been at the systems that could carry out these rules; forefront of many of these developments. -
A Tour Through Mirzakhani's Work on Moduli Spaces of Riemann Surfaces
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 57, Number 3, July 2020, Pages 359–408 https://doi.org/10.1090/bull/1687 Article electronically published on February 3, 2020 A TOUR THROUGH MIRZAKHANI’S WORK ON MODULI SPACES OF RIEMANN SURFACES ALEX WRIGHT Abstract. We survey Mirzakhani’s work relating to Riemann surfaces, which spans about 20 papers. We target the discussion at a broad audience of non- experts. Contents 1. Introduction 359 2. Preliminaries on Teichm¨uller theory 361 3. The volume of M1,1 366 4. Integrating geometric functions over moduli space 367 5. Generalizing McShane’s identity 369 6. Computation of volumes using McShane identities 370 7. Computation of volumes using symplectic reduction 371 8. Witten’s conjecture 374 9. Counting simple closed geodesics 376 10. Random surfaces of large genus 379 11. Preliminaries on dynamics on moduli spaces 382 12. Earthquake flow 386 13. Horocyclic measures 389 14. Counting with respect to the Teichm¨uller metric 391 15. From orbits of curves to orbits in Teichm¨uller space 393 16. SL(2, R)-invariant measures and orbit closures 395 17. Classification of SL(2, R)-orbit closures 398 18. Effective counting of simple closed curves 400 19. Random walks on the mapping class group 401 Acknowledgments 402 About the author 402 References 403 1. Introduction This survey aims to be a tour through Maryam Mirzakhani’s remarkable work on Riemann surfaces, dynamics, and geometry. The star characters, all across Received by the editors May 12, 2019. 2010 Mathematics Subject Classification. Primary 32G15. c 2020 American Mathematical Society 359 License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use 360 ALEX WRIGHT 2 3117 4 5 12 14 16 18 19 9106 13 15 17 8 Figure 1.1. -
2010 Table of Contents Newsletter Sponsors
OKLAHOMA/ARKANSAS SECTION Volume 31, February 2010 Table of Contents Newsletter Sponsors................................................................................ 1 Section Governance ................................................................................ 6 Distinguished College/University Teacher of 2009! .............................. 7 Campus News and Notes ........................................................................ 8 Northeastern State University ............................................................. 8 Oklahoma State University ................................................................. 9 Southern Nazarene University ............................................................ 9 The University of Tulsa .................................................................... 10 Southwestern Oklahoma State University ........................................ 10 Cameron University .......................................................................... 10 Henderson State University .............................................................. 11 University of Arkansas at Monticello ............................................... 13 University of Central Oklahoma ....................................................... 14 Minutes for the 2009 Business Meeting ............................................... 15 Preliminary Announcement .................................................................. 18 The Oklahoma-Arkansas Section NExT ............................................... 21 The 2nd Annual -
AR 96 Covers/Contents
ICTP FULL TECHNICAL REPORT 2018 INTRODUCTION This document is the full technical report of ICTP for the year 2018. For the non-technical description of 2018 highlights, please see the printed “ICTP: A Year in Review” publication. 2 ICTP Full Technical Report 2018 CONTENTS Research High Energy, Cosmology and Astroparticle Physics (HECAP) ........................................................................ 7 Director's Research Group – String Phenomenology and Cosmology ...................................... 30 Condensed Matter and Statistical Physics (CMSP)............................................................................................ 32 Sustainable Energy Synchrotron Radiation Related Theory Mathematics ........................................................................................................................................................................ 63 Earth System Physics (ESP) ......................................................................................................................................... 71 Applied Physics Multidisciplinary Laboratory (MLab) ....................................................................................................... 97 Telecommunications/ICT for Development Laboratory (T/ICT4D) ....................................... 108 Medical Physics ................................................................................................................................................. 113 Fluid Dynamics .................................................................................................................................................. -
2011 Mathematics Newsletter
AUTUMN 2011 NEWSLETTER OF THE DEPARTMENT OF MATHEMATICS AT THE UNIVERSITY OF WASHINGTON Mathematics NEWS 1 DEPARTMENT OF MATHEMATICS NEWS MESSAGE FROM THE CHAIR It has been another exciting year The positive developments reported in this newsletter stand for our department. The work of in contrast to a backdrop of (global) financial and politi- the faculty has been recognized cal uncertainty. In the fourth year of the financial crisis, in a number of ways, includ- the end is not yet in sight. Repeated cuts in state support, ing the AMS Bôcher Prize and coupled with tuition increases, spell a fundamental shift the SIAM Kleinman Prize pre- in the funding of state universities. At the same time, the sented to Gunther Uhlmann, need to re-tool to pursue new career paths in a changing and the NSF CAREER award to economy, the return of soldiers from overseas deployments, Max Lieblich. As you will see on and the coming of age of the baby-boom echo generation page 15, the numbers of majors bring increasing numbers of students to our campus and to in the Mathematics program and the joint ACMS (Applied our department. and Computational Mathematical Sciences) program have Until the situation settles, new resources are generally made continued to rise, as have the numbers of degrees awarded. available to us in the form of temporary allocations instead In addition, these programs attract outstanding students of tenure-track faculty positions, which would require long- who continue to make us proud. For example, Math majors term financial commitments. This policy is understandable. -
IMS Bulletin July/August 2004
Volume 33 Issue 4 IMS Bulletin July/August 2004 A Message from the (new) President Louis H Y Chen, Director of the Institute CONTENTS for Mathematical Sciences at the 2-3 Members’ News; National University of Singapore, is the Contacting the IMS IMS President for 2004–05. He says: hen I was approached by the 4 Profi le: C F Jeff Wu WCommittee on Nominations in 5 IMS Election Results: January 2003 and asked if I would be President-Elect and Council willing to be a possible nominee for IMS 7 UK Research Assessment; President-Elect, I felt that it was a great Tweedie Travel Award honor for me. However, I could not help 8 Mini-meeting Reports but think that the outcome of the nomi- nation process would most likely be a 10 Project Euclid & Google nominee who is based in the US, because, 11 Calls Roundup except for Willem van Zwet, Nancy Reid of probabilists and statisticians. 14 IMS Meetings and Bernard Silverman, all the 68 past Although IMS is US-based, its infl u- Presidents of IMS were US-based. When ence goes far beyond the US due to its 20 Other Meetings and I was fi nally chosen as the nominee for several fi rst-rate publications and many Announcements President-Elect, I was pleased, not so high quality meetings. Also, IMS has 23 Employment much because I was chosen, but because I reduced membership dues for individuals Opportunities took it as a sign that the outlook of IMS in developing countries to encourage 25 International Calendar of was becoming more international. -
Notices of the American Mathematical Society
• ISSN 0002-9920 March 2003 Volume 50, Number 3 Disks That Are Double Spiral Staircases page 327 The RieITlann Hypothesis page 341 San Francisco Meeting page 423 Primitive curve painting (see page 356) Education is no longer just about classrooms and labs. With the growing diversity and complexity of educational programs, you need a software system that lets you efficiently deliver effective learning tools to literally, the world. Maple® now offers you a choice to address the reality of today's mathematics education. Maple® 8 - the standard Perfect for students in mathematics, sciences, and engineering. Maple® 8 offers all the power, flexibility, and resources your technical students need to manage even the most complex mathematical concepts. MapleNET™ -- online education ,.u A complete standards-based solution for authoring, nv3a~ _r.~ .::..,-;.-:.- delivering, and managing interactive learning modules \~.:...br *'r¥'''' S\l!t"AaITI(!\pU;; ,"", <If through browsers. Derived from the legendary Maple® .Att~~ .. <:t~~::,/, engine, MapleNefM is the only comprehensive solution "f'I!hlislJer~l!'Ct"\ :5 -~~~~~:--r---, for distance education in mathematics. Give your institution and your students cornpetitive edge. For a FREE 3D-day Maple® 8 Trial CD for Windows®, or to register for a FREE MapleNefM Online Seminar call 1/800 R67.6583 or e-mail [email protected]. ADVANCING MATHEMATICS WWW.MAPLESOFT.COM I [email protected]\I I WWW.MAPLEAPPS.COM I NORTH AMERICAN SALES 1/800 267. 6583 © 2003 Woter1oo Ma')Ir~ Inc Maple IS (J y<?glsterc() crademork of Woterloo Maple he Mar)leNet so troc1ema'k of Woter1oc' fV'lop'e Inr PII other trcde,nork$ (ye property o~ their respective ('wners Generic Polynomials Constructive Aspects of the Inverse Galois Problem Christian U. -
Annual Report 2005
DEPARTMENT OF MATHEMATICS ANNUAL REPORT 2005 PREAMBLE The Department of Mathematics comprises over 60 established and temporary staff, based on both the City and Tamaki campuses. The number of equivalent full-time students totalled about 851 in 2005. The Department is therefore one of the largest in the University of Auckland, and offers courses at all levels for students in several Faculties. Highlights for the Department in 2005 were: • Professor James Sneyd was elected as a Fellow of the Royal Society of New Zealand. • Professor James Sneyd was a joint winner of the NZ Mathematical Society 2005 Research Award. • Professor Boris Pavlov, Dr Colin Fox, and Dr Mike Meylan won funding for an NZIMA's thematic programme in 2006/07. • Marsden Grants were awarded in the 2005 round to both Professor David Gauld and Dr David Bryant. • Professor James Sneyd won a grant from the University of Massachusetts Medical Centre, and has had his NIH grant for an international project fully funded for the next five years • Dr Arkadii Slinko became a founding member of the ARC Economic Design Network which received $AU300,000 per year from the Australian Research Council for the next 5 years. • Dr Arkadii Slinko led the New Zealand International Mathematics Olympiad team to its best ever results in the competition in Mexico. One silver and two bronze medals put us in the top half of all teams, not far behind France. • The Department, jointly with DALSL, signed an agreement with Majlis Amanah Rakyat (MARA) in Malaysia to provide a 20-week course for 25 mathematics and science teachers. -
September 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 439 September 2014 Society Meetings HIGHEST HONOUR FOR UK and Events MATHEMATICAN Professor Martin Hairer, FRS, 2014 University of Warwick, has become the ninth UK based Saturday mathematician to win the 6 September prestigious Fields Medal over Mathematics and the its 80 year history. The medal First World War recipients were announced Meeting, London on Wednesday 13 August in page 15 a ceremony at the four-year- ly International Congress for 1 Wednesday Mathematicians, which on this 24 September occasion was held in Seoul, South Korea. LMS Popular Lectures See page 4 for the full report. Birmingham page 12 Friday LMS ANNOUNCES SIMON TAVARÉ 14 November AS PRESIDENT-DESIGNATE LMS AGM © The University of Cambridge take over from the London current President, Professor Terry Wednesday Lyons, FRS, in 17 December November 2015. SW & South Wales Professor Tavaré is Meeting a versatile math- Plymouth ematician who has established a distinguished in- ternational career culminating in his current role as The London Mathematical Director of the Cancer Research Society is pleased to announce UK Cambridge Institute and Professor Simon Tavaré, Professor in DAMTP, where he NEWSLETTER FRS, FMedSci, University of brings his understanding of sto- ONLINE: Cambridge, as President-Des- chastic processes and expertise newsletter.lms.ac.uk ignate. Professor Tavaré will in the data science of DNA se- (Cont'd on page 3) LMS NEWSLETTER http://newsletter.lms.ac.uk Contents No. 439 September 2014 15 44 Awards Partial Differential Equations..........................37 Collingwood Memorial Prize..........................11 Valediction to Jeremy Gray..............................33 Calendar of Events.......................................50 News LMS Items European News.................................................16 HEA STEM Strategic Project........................... -
Cambridge University Press 978-0-521-69415-5 — L-Functions and Galois Representations Edited by David Burns , Kevin Buzzard , Jan Nekovář Frontmatter More Information
Cambridge University Press 978-0-521-69415-5 — L-Functions and Galois Representations Edited by David Burns , Kevin Buzzard , Jan Nekovář Frontmatter More Information LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor N. J. Hitchin, Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, United Kingdom The titles below are available from booksellers, or from Cambridge University Press at www.cambridge.org/mathematics 159 Groups St Andrews 1989 volume 1, C.M. CAMPBELL & E.F. ROBERTSON (eds) 160 Groups St Andrews 1989 volume 2, C.M. CAMPBELL & E.F. ROBERTSON (eds) 161 Lectures on block theory, B. KULSHAMMER¨ 163 Topics in varieties of group representations, S.M. VOVSI 164 Quasi-symmetric designs, M.S. SHRIKANDE & S.S. SANE 166 Surveys in combinatorics, 1991, A.D. KEEDWELL (ed) 168 Representations of algebras, H. TACHIKAWA & S. BRENNER (eds) 169 Boolean function complexity, M.S. PATERSON (ed) 170 Manifolds with singularities and the Adams-Novikov spectral sequence, B. BOTVINNIK 171 Squares, A.R. RAJWADE 172 Algebraic varieties, G.R. KEMPF 173 Discrete groups and geometry, W.J. HARVEY & C. MACLACHLAN (eds) 174 Lectures on mechanics, J.E. MARSDEN 175 Adams memorial symposium on algebraic topology 1, N. RAY & G. WALKER (eds) 176 Adams memorial symposium on algebraic topology 2, N. RAY & G. WALKER (eds) 177 Applications of categories in computer science, M. FOURMAN, P. JOHNSTONE & A. PITTS (eds) 178 Lower K- and L-theory, A. RANICKI 179 Complex projective geometry, G. ELLINGSRUD et al 180 Lectures on ergodic theory and Pesin theory on compact manifolds, M. POLLICOTT 181 Geometric group theory I, G.A. -
Annual Review 2010-11
QUALI AAWDURDODOL Gweledigaeth AAWDURDODOL QUALI ANNIBYNNOL THE LEARNED SOCIETY OF WALES CYMDEITHAS DDYSGEDIG CYMRU CELEBRATING SCHOLARSHIP AND SERVING THE NATION BENIGOL DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL • YMCHWIL • YSGOLHEICTOD Review • RHAGORIAETH 2010/11 • AWDURDODOL • AUTHOR 2010/11 • EXCELLENC Adolygiad SCHOLARSHIP • • RESEARCH CELEBRATING SCHOLARSHIP AND SERVING THE NATION THE SERVING AND SCHOLARSHIP CELEBRATING EXPERT DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL GWASANAETHU’R A YSGOLHEICTOD DATHLU THE LEARNED SOCIETY OF WALES OF SOCIETY LEARNED THE CYMDEITHAS DDYSGEDIG CYMRU DDYSGEDIG CYMDEITHAS INDEPENDENT QUALI AUTHORITATIVE VISION THE LEARNED SOCIETY OF WALES CYMDEITHAS DDYSGEDIG CYMRU CELEBRATING SCHOLARSHIP AND SERVING THE NATION DATHLU YSGOLHEICTOD A GWASANAETHU’R GENEDL Legal Advisers Morgan Cole Solicitors Park Place Cardiff CF10 3DP Auditors PricewaterhouseCoopers LLP One Kingsway Cardiff CF10 3PW. Bankers HSBC Private Bank (UK) Limited 97 Bute Street Cardiff Bay CF10 5PB Registered Address The University Registry King Edward VII Avenue Cathays Park Cardiff CF10 3NS Company Number 7256948 Registered Charity Number 1141526 For more information about the Society, contact: Dr Lynn Williams Chief Executive and Secretary The Learned Society of Wales PO Box 586 Cardiff CF11 1NU (29) 2037 6951 email: [email protected] or visit the Society’s website: http://learnedsocietywales.ac.uk The Learned Society of Wales Review 2010/11 1 President’s Introduction The Learned Society of Wales is Wales’s first The Society will also harness and channel national scholarly academy. Its establishment in May the nation’s talent for the good of our country. It 2010 marks a very important development in the will act as a defender of and protagonist for the intellectual and cultural life of our nation. -
2008 Conant Prize
2008 Conant Prize The 2008 Levi L. Conant Prize was awarded at the history, known partial results and blind alleys, 114th Annual Meeting of the AMS in San Diego in various threads of numerical and theoretical evi- January 2008. dence, and suggestive connections with disparate The Conant Prize is awarded annually to recog- branches of mathematics and theoretical physics. nize an outstanding expository paper published The mathematical exposition is enhanced by the in either the Notices of the AMS or the Bulletin of judicious use of anecdotes illustrating the human the AMS in the preceding five years. Established drama of the quest for a proof and of figures that in 2001, the prize honors the memory of Levi L. help the reader visualize the zeta function as a Conant (1857–1916), who was a mathematician at function of a complex variable and the key connec- Worcester Polytechnic University. The prize carries tions between the distribution of prime numbers, a cash award of US$1,000. the distribution of the zeros of the Riemann zeta The Conant Prize is awarded by the AMS Coun- function, and conjecturally also the distribution of cil acting on the recommendation of a selection the eigenvalues of random Hermitian operators. committee. For the 2008 prize the members of Conrey remarks on one of those fascinating the selection committee were: Noam D. Elkies, connections (Gauss’s class number problem and Stephen J. Greenfield, and Carl R. Riehm (chair). a “conspiracy of L-functions”) that “we seem to Previous recipients of the Conant Prize are: Carl be players in the middle of a mystery novel.” The Pomerance (2001), Elliott Lieb and Jakob Yngvason same can be said of the status of the Riemann (2002), Nicholas Katz and Peter Sarnak (2003), Hypothesis itself.