The Intelligence Revolution: a Historical Perspective Sir Harry Hinsley, 1988
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Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Allied Relations and Negotiations with Spain A
Allied Relations and Negotiations With Spain A. From Spanish "Non-Belligerency" to Spanish Neutrality1 Shortly after the outbreak of the War in September 1939, Spanish dictator General Francisco Franco released an official decree of neutrality in the conflict, despite his open ideological affinity with the Axis leaders who had provided him with critical support in the Spanish Civil War. Nevertheless, he hovered on the brink of intervention on the side of the Axis through much of 1940 and 1941, and even contributed a force of Spanish volunteers estimated to be as many as 40,000, known as the Blue Division, which served as the German 250th Division on the Russian Front from mid-1941 until October 1943. The possibility of Spanish belligerency was premised on an early German victory over Britain and on German agreement to Spanish territorial expansion in Africa into French Morocco and perhaps even in Europe at the expense its neighbors, Vichy France and neutral Portugal. The United States and Britain joined in a continuing effort to keep Franco's Spain out of the War by providing essential exports like gasoline and grain to prop up the Spanish economy, which had been in a state of collapse since the end of the Spanish Civil War. The close ideological and political ties between the Franco dictatorship and those of Germany and Italy were never misapprehended by the United States and Britain. After 1941 Spain drifted gradually from imminent belligerency toward a demonstratively pro-Axis neutrality. Spain cooperated with the Allies in humanitarian efforts, allowing safe passage through Spain of downed Allied fliers, escaped Allied prisoners, and civilian refugees, including Jews.2 The nature of Spain's neutrality in World War II turned in significant measure on Allied and Spanish perceptions of the danger of German invasion. -
Orme) Wilberforce (Albert) Raymond Blackburn (Alexander Bell
Copyrights sought (Albert) Basil (Orme) Wilberforce (Albert) Raymond Blackburn (Alexander Bell) Filson Young (Alexander) Forbes Hendry (Alexander) Frederick Whyte (Alfred Hubert) Roy Fedden (Alfred) Alistair Cooke (Alfred) Guy Garrod (Alfred) James Hawkey (Archibald) Berkeley Milne (Archibald) David Stirling (Archibald) Havergal Downes-Shaw (Arthur) Berriedale Keith (Arthur) Beverley Baxter (Arthur) Cecil Tyrrell Beck (Arthur) Clive Morrison-Bell (Arthur) Hugh (Elsdale) Molson (Arthur) Mervyn Stockwood (Arthur) Paul Boissier, Harrow Heraldry Committee & Harrow School (Arthur) Trevor Dawson (Arwyn) Lynn Ungoed-Thomas (Basil Arthur) John Peto (Basil) Kingsley Martin (Basil) Kingsley Martin (Basil) Kingsley Martin & New Statesman (Borlasse Elward) Wyndham Childs (Cecil Frederick) Nevil Macready (Cecil George) Graham Hayman (Charles Edward) Howard Vincent (Charles Henry) Collins Baker (Charles) Alexander Harris (Charles) Cyril Clarke (Charles) Edgar Wood (Charles) Edward Troup (Charles) Frederick (Howard) Gough (Charles) Michael Duff (Charles) Philip Fothergill (Charles) Philip Fothergill, Liberal National Organisation, N-E Warwickshire Liberal Association & Rt Hon Charles Albert McCurdy (Charles) Vernon (Oldfield) Bartlett (Charles) Vernon (Oldfield) Bartlett & World Review of Reviews (Claude) Nigel (Byam) Davies (Claude) Nigel (Byam) Davies (Colin) Mark Patrick (Crwfurd) Wilfrid Griffin Eady (Cyril) Berkeley Ormerod (Cyril) Desmond Keeling (Cyril) George Toogood (Cyril) Kenneth Bird (David) Euan Wallace (Davies) Evan Bedford (Denis Duncan) -
OSS Classified British Intercept Documents, 1943-1945 Entry A1-223 Location: 250/64/33/7
OSS Classified British Intercept Documents, 1943-1945 Entry A1-223 Location: 250/64/33/7 Box 1 Group II/13, Sofia to Berlin, July 1943 to February 1944 Group II/13, Sofia to Berlin, February to May 1944 Group II/13, Sofia to Berlin, April to May 1944 Group II/517, Belgrade to Sofia, April 1943 to February 1944 Group II/523, Vienna to Sofia, April to May 1944 Group II/543, Zagreb to Vienna and Vienna to Zagreb, April 1943 to January 1944 Group II/5162, Bucharest to Vienna, October 1943 to May 1944 Group II/5182, Sarajevo to Zagreb, February to August 1943 Box 2 Group II/5182, Zagreb to Sarajevo, August to October 1943 Group II/5184, Varna to Vienna, March to September 1943 Group II/5190, Sarajevo to Brod, April to September 1943 Group II/5191, Tuzla to Sarajevo, March to September 1943 Group II/5192, Sarajevo to Belgrade and Belgrade to Sarajevo, April to October 1943 Group II/5203, Sarajevo to Banja Luka, April to September 1943 Group II/5204, Zagreb to Bihac, April to June 1943 Group II/5216, Dubrovnic to Sarajevo, April to October 1943 Group II/5217, Dubrovnic to Zagreb, April 1943 to November 1944 Group II/5223, Sofia to Vienna, April 1943 to January 1944 Group II/5265, Sofia to Budapest, September 1943 to January 1944 Box 3 Group II/5326, Zagreb to Belgrade, April to June 1944 (Two Folders) Group II/5326, Belgrade to Zagreb, April 1944 Group II/5449, Tirana to Belgrade, February to March 1944 Group II/5456, Tirana to Vrbas, February to March 1944 Group II/5456, Tirana to Vrbas, March to May 1944 Group II/5457, Zagreb to Stn. -
The Essential Turing: Seminal Writings in Computing, Logic, Philosophy, Artificial Intelligence, and Artificial Life: Plus the Secrets of Enigma
The Essential Turing: Seminal Writings in Computing, Logic, Philosophy, Artificial Intelligence, and Artificial Life: Plus The Secrets of Enigma B. Jack Copeland, Editor OXFORD UNIVERSITY PRESS The Essential Turing Alan M. Turing The Essential Turing Seminal Writings in Computing, Logic, Philosophy, Artificial Intelligence, and Artificial Life plus The Secrets of Enigma Edited by B. Jack Copeland CLARENDON PRESS OXFORD Great Clarendon Street, Oxford OX2 6DP Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Cape Town Dar es Salaam Hong Kong Karachi Kuala Lumpur Madrid Melbourne Mexico City Nairobi New Delhi Taipei Toronto Shanghai With offices in Argentina Austria Brazil Chile Czech Republic France Greece Guatemala Hungary Italy Japan South Korea Poland Portugal Singapore Switzerland Thailand Turkey Ukraine Vietnam Published in the United States by Oxford University Press Inc., New York © In this volume the Estate of Alan Turing 2004 Supplementary Material © the several contributors 2004 The moral rights of the author have been asserted Database right Oxford University Press (maker) First published 2004 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above. -
Joan Clarke at Station X
Joan Clarke at Station X Before Joan Clarke worked at Bletchley Park’s Hut 8, she already knew Alan Turing. He was a friend of Joan’s brother. A very intelligent young woman, Joan studied mathematics at Cambridge University’s Newnham College. Gordon Welchman, who was working for the Government Code & Cypher School in the late 1930s, recruited Joan to work at Bletchley Park. He’d been her Geometry supervisor at Cambridge. At the time, women did not typically fill important jobs at Bletchley Park (or anywhere else throughout Britain). So ... at the beginning of her work at Station X ... Joan filled a clerical slot. It took very little time, however, for Joan to get her “own table” inside Hut 8. This promotion effectively placed her on Turing’s code-breaking team. Not only did Joan do great work at Bletchley, by 1944 she was deputy-head of the Hut-8 team. During the early part of her work at Station X, Joan had been promoted to a “Linguist,” even though she wasn’t fluent in other languages. (It was just a way for her to receive better pay for her work.) She once answered a questionnaire with these words: Grade: Linguist, Languages: None. When she first became a Hut-8 code breaker, Joan worked with Alan Turing, Tony Kendrick and Peter Twinn. Their actual work focused on breaking Germany’s Naval Enigma code (which the Station X workers had codenamed “Dolphin”). Joan and Alan Turing became very close friends and, in 1941, the head of Hut 8 asked his friend to become his wife. -
Operation Husky
OPERATION HUSKY DEVERS, JACOB: Papers, 1939-1949 Box 2, Reel 8 Proposed Organization of an Assault Division [599-629] [report by Norman Cota on Operation Husky] DWIGHT D. EISENHOWER LIBRARY: Collection of 20th Century Military Records, 1918-1950 Series I. Historical Studies, Air University Box 10 Study 37 Participation of the 9th and 12th Air Forces in the Sicilian Campaign Box 18 Study 74 Airborne Missions in the Mediterranean, 1942-45 Box 26 Study 96 The Army Air Forces in Amphibious Landings in WWII. Series III. Box 10 History of AFHQ, Part II, Dec. 1942-Dec. 1943 Section 1 Box 11 History of AFHQ, Part II, Dec. 1942-Dec. 1943 Section 2 EISENHOWER, DWIGHT D.: Papers, Pre-Presidential, 1916-1952 Principal Series Box 23 Churchill, Winston (7) [July-Aug. 1943] Box 80 Marshall, George C. (9) [June 1943-June 1944] Box 91 Patton, George S., Jr. (4) [Feb.-Aug. 1943] Box 123 Wedemeyer, A. C. (2) [July 1943-May 1947] Subject Series Box 130 Cables- (C.C.S. Jan.-Sept. 1943) (1)-(3) Box 132 Cables Off. (GCM/DDE Mar. 28-Aug. 1, 1943) (1)-(4) Box 132 Cables Off. (GCM/DDE July 29, 1943-Feb. 19, 1944) (1)-(5) Box 153 OPERATION - HUSKY - 1943 Butcher Diary Series Box 166 Diary-Butcher (May 8, 1943-July 6, 1943) (1)-(4) Box 167 Diary-Butcher (July 8-Aug. 17, 1943) (1)-(3) JACKSON, C.D.: Papers, 1931-1967 Box 21 BIGOT, PSYCHE, HUSKY (1)-(3) [PWB propaganda plans & operations] SMITH, WALTER BEDELL: Collection of World War II Documents Box 16 Minutes of a Meeting Held (May 31-June 3, 1943) at General Eisenhower’s Villa, Algiers (1)(2) Box 16 Commander-in-Chief’s Dispatch, Sicilian Campaign, 1943 Box 16 Intelligence and Combat Material (1) [training notes from Sicilian Campaign, Oct. -
The Influence of ULTRA in the Second World War [ Changed 26Th November 1996 ]
The Influence of ULTRA in the Second World War [ Changed 26th November 1996 ] Last year Sir Harry Hinsley kindly agreed to speak about Bletchley Park, where he worked during the Second World War. We are pleased to present a transcript of his talk. Sir Harry Hinsley is a distinguished historian who during the Second World War worked at Bletchley Park, where much of the allied forces code-breaking effort took place. We are pleased to include here a transcript of his talk, and would like to thank Susan Cheesman for typing the first draft and Keith Lockstone for adding Sir Harry's comments and amendments. Security Group Seminar Speaker: Sir Harry Hinsley Date: Tuesday 19th October 1993 Place: Babbage Lecture Theatre, Computer Laboratory Title: The Influence of ULTRA in the Second World War Ross Anderson: It is a great pleasure to introduce today's speaker, Sir Harry Hinsley, who actually worked at Bletchley from 1939 to 1946 and then came back to Cambridge and became Professor of the History of International Relations and Master of St John's College. He is also the official historian of British Intelligence in World War II, and he is going to talk to us today about Ultra. Sir Harry: As you have heard I've been asked to talk about Ultra and I shall say something about both sides of it, namely about the cryptanalysis and then on the other hand about the use of the product - of course Ultra was the name given to the product. And I ought to begin by warning you, therefore, that I am not myself a mathematical or technical expert. -
Supplement to the London Gazette, 8 October, 1943 4451 W
SUPPLEMENT TO THE LONDON GAZETTE, 8 OCTOBER, 1943 4451 W. M. CHOWNS (50916). C. V. EVANS (115077). 6th Oct. 1943. E. R. CLAYSON (50933). 7th Oct. 1943. J. COOK (50932). F. R. FOWLER (88772). S. GREENSLADE (50913). D. W. FRASER (109121). E. J. HASLAM (50918). S. C. McQuowN (109134). W. G. T. HUGHES (50937). I. ROBERTSON (112684). S. HUNT (50914).. F. D. KINSEY (50904). Pit. Offs'. to be Fig. Offs. (war subs.):— K. M. C. LANGLEY (50917). I. B. FISKE (103741). 22nd July 1943- I. M. LUCAS (50929). F. G. D. O'CALLAGHAN (85495). igth Sept. G. G. NESS (50936). 1943 K. D. OWEN (50915). Pit. Offs. (prob.) to be Fig. Offs. on prob. (war B. D. SHAW (50963). subs.):- A. B. SMITH (50923) T. L. KINSEY (115128). ist Oct. 1942. E. G. STURGIS (51378). P. G. SARGENT (124474). igth Dec. 1942. G. H. TAYLOR (50911). R. U. P. DE BURGH (118569). ist Jan. 1943. H. A. TESTER (50945). I. MACDONALD (131984). 9th Apr. 1943- T. WALKER (50938). P. McPHEE (146128). i6th Apr. 1943. G. YATES (50939). D. A. TWYMAN (145866). 6th May 1943. Actg. Pit. Offs. (prob.) to be Pit. Offs. (prob.): — C. A. LYON (127908). 7th May 1943. F. READ (51996). 2gth July 1943. A. DULSON (145815). 2nd June 1943- K. PEARSON (139223). 7th June 1943. 9th Sept. 1943. A. YATES (145714). igth June 1943. R. W. HARTE (52458). R. G. THACKERAY (143685). 23rd June 1943. R. W. RICHARDSON (52460) H. J. COBB (143083). 7th July 1943. i6th Sept. 1943. 8th July 1943. R. A. DAVIS -(52538). R. -
Service Notes 1944
(Mrs.) Isabel Huffton. Dated 12th May, 1944. (Mrs.) Leela Thorat. Dated 15th December, 1944. (Miss) Khorshed Irani (now Mrs. Pasricha). Dated 20th May, 1943. (Miss) Latif Begum Khan. Dated 20th March, 1943. (Miss) Shanta Jayawant. Dated 29th August, 1944. (Miss) Daisy Pereira. Dated 4th September, 1944. (Mrs.) Maude Elisbeth Khan. Dated 9th May, 1944.. (Miss) Jaul Barjorji Hakim. Dated 11th March, 1943. , , (Miss) Sillo Sorabji Daruvala. Dated 15th April,. 1943. (Miss) Mary Thomas. Dated 8th October, 1943. (Miss) Malati Mallannah Shrinagesh. Dated 11th June, 1943. (Miss) Zubaida Hazi Yousof Sobani. Dated 20th September, 1943. (Miss) Achy Mathew. Dated 19th March, 1945. (Mrs.) Greta Darretto (nee Neri). Dated 25th. March, 1943. (Miss) Lalithakrishna Rao. Dated 13th January, Service Notes 1944. (Mrs.) Gladys Connor. Dated 1st August, 1942. (Miss) Mary Kozhimannil Verghese. Dated 2nd Appointments and Transfers November, 1943. Dr. R. Viswanathan, Officer on. Special Duty (Miss) Nivedita Sen. Dated 15th June, 1943. (Tuberculosis), on relief by Dr. P. V. Benjamin, is (Miss) Lakshmiraju Suryakantham. Dated 31st appointed temporarily as Assistant Director-General of May, 1943. Health Services (Resettlement), with effect from the (Miss) Hannan Cohen. Dated 14th March, 1943. 1st June, 1948. (Miss) Mavis Gomez. Dated 23rd March, 1943. Dr. M. N. Lahiri is appointed to the Medical Re- (Mrs.) May Frances Huiton. Dated 19th July, 1943. search Department on probation for 2 years with effect (Miss) Jasmine Enoch. Dated 21st June, 1943. from the 2nd July, 1948. (Miss) Mahalakshmi Subbarayalu Naidu. Dated 23rd Lieutenant-Colonel C. Mani, Additional Deputy March, 1943. Director-General of Health Sendees (Public Health) II, (Miss) Mary Isaac Judah. -
Jack Copeland on Enigma
Enigma Jack Copeland 1. Turing Joins the Government Code and Cypher School 217 2. The Enigma Machine 220 3. The Polish Contribution, 1932–1940 231 4. The Polish Bomba 235 5. The Bombe and the Spider 246 6. Naval Enigma 257 7. Turing Leaves Enigma 262 1. Turing Joins the Government Code and Cypher School Turing’s personal battle with the Enigma machine began some months before the outbreak of the Second World War.1 At this time there was no more than a handful of people in Britain tackling the problem of Enigma. Turing worked largely in isolation, paying occasional visits to the London oYce of the Government Code and Cypher School (GC & CS) for discussions with Dillwyn Knox.2 In 1937, during the Spanish Civil War, Knox had broken the type of Enigma machine used by the Italian Navy.3 However, the more complicated form of Enigma used by the German military, containing the Steckerbrett or plug-board, was not so easily defeated. On 4 September 1939, the day following Chamberlain’s announcement of war with Germany, Turing took up residence at the new headquarters of the Govern- ment Code and Cypher School, Bletchley Park.4 GC & CS was a tiny organization 1 Letters from Peter Twinn to Copeland (28 Jan. 2001, 21 Feb. 2001). Twinn himself joined the attack on Enigma in February 1939. Turing was placed on Denniston’s ‘emergency list’ (see below) in March 1939, according to ‘StaV and Establishment of G.C.C.S.’ (undated), held in the Public Record OYce: National Archives (PRO), Kew, Richmond, Surrey (document reference HW 3/82). -
JOHN PLUMB 15 Plumb 1226 15/11/2004 10:41 Page 269
15 Plumb 1226 15/11/2004 10:41 Page 268 JOHN PLUMB 15 Plumb 1226 15/11/2004 10:41 Page 269 John Harold Plumb 1911–2001 SIR JOHN PLUMB, who died on 21 October 2001, having celebrated his ninetieth birthday two months before, had been in ill health for some time —but in rude health for a great deal longer. To his friends, and also to his enemies, he was always known as ‘Jack’, and he invariably published over the uncharacteristically tight-lipped by-line of J. H. Plumb. On both sides of the Atlantic, the many obituaries and appreciations rightly drew atten- tion to his memorable character and ample wealth, to his irrepressible vitality and unabashed delight in the good things of life, to the light and the dark of his complex and conflicted nature, and to the ups and downs of his professional career. They also stressed his equivocal relationship with Cambridge University (where he failed to gain an undergraduate scholarship, but was Professor of Modern British History from 1966 to 1974), his nearly seventy-year-long connection with Christ’s College (where he was a Fellow from 1946 to 1978, Master from 1978 to 1982, and then again a Fellow until his death), and his latter-day conversion (if such it was) from impassioned radical to militant Thatcherite. And they noted the human insight and sparkling style that were the hallmarks of his best work, his lifelong conviction that history must reach a broad audience and inform our understanding of present-day affairs, and his unrivalled skills in nurturing (and often terrifying) youthful promise and scholarly talent.1 1 Throughout these notes, I have abbreviated Sir John Plumb to JHP, and C.