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New Beginnings
NEW BEGINNINGS A three-year report of Eklavya Foundation 2001-2004 NEW BEGINNINGS A three vi'ar report of the Ikb\\a I ouruiatinn fJQOl Jun/j i We gratffulli a. k now ledpc tor Design. IOVLM illu-itMtion & le<if motif: Urijii Moh.mly. IDC. NT F'OVM^I, Murnbai Sketches Mrm.r.wmi 1 ^td Ravnuird & AntdM HjzanK.i Murnhni ic This honor, uy piojoU Inciu'.ti i.il D ,icjn C^ntif, MF P'j\\-ii. Mun.h.ii Eklavya Foundation H(Hji'.U>u>rJ Vu itMy No S l *n I ) H U--H .-/> 1 lh.' 1 ' 1 -- Mi'qiM(M(KlUtfic" H .' i. .VKM!. W.M U..lhi , O'uj ' ' ".." i " ' AM (l(.jt|.|ir In | U.'.-v.i i" 't!|i l-i, mi*, i.j, ,M.-t ,"H.'I.. :i ] J,)I)M 1- * ' 1 >' ' l I ; v'lil- '-! i i- ' .. ii i'. .i J /()(.)/ [ '! .'11" ',-,* ? ;i' ! \ i i i I)' .'. )! _>f [ ^h Jciiuuirv <?Ol)S '.'Jon uj l ontnhutoiy put i <-, sn Published In Eklavya L / Hir,-1',^ Arer.u olony Phone 0755 246 3380, 246 4824 - Fax: 0755 246 1 703 Email eklavyampfj'mantrdfteenet corn Printed at ' Bhanclan Otis*.". Pnnti-rs Arfj v.n!c>nv Bliou.u P ( iont- /-it; i Contents The dismantling oKwiMon People's voices Report of cK-tiviLies(;OOl Foreword In this report we share with you a truly momentous leg of our long journey Two events impacted significantly on the structure and work of Eklavya. One was the closure of our collaborative middle school educational programmes by the Madhya Pradesh government in July 2002 The second was the bifurcation of Eklavya into two autonomous units - a 'school education and publication' group and a'rural development'group.The latter was registered as a new society on August 1 1, 2003 as the Samavesh Society for Development and Governance. -
Constructive Recognition of a Black Box Group Isomorphic to GL(N,2)
DIMACS Series in Discrete Mathematics and Theoretical Computer Science Volume 00, 19xx Constructive Recognition of a Black Box Group Isomorphic to GL(n, 2) Gene Cooperman, Larry Finkelstein, and Steve Linton Abstract. A Monte Carlo algorithm is presented for constructing the natu- ral representation of a group G that is known to be isomorphic to GL(n, 2). The complexity parameters are the natural dimension n and the storage space required to represent an element of G. What is surprising about this result is that both the data structure used to compute the isomorphism and each invo- cation of the isomorphism require polynomial time complexity. The ultimate goal is to eventually extend this result to the larger question of construct- ing the natural representation of classical groups. Extensions of the methods developed in this paper are discussed as well as open questions. 1. Introduction The principal objective of this paper is a demonstration of the feasibility of obtaining the natural (projective) matrix representation for a classical group ini- tially presented as a black box group. In this model, group elements are encoded by binary strings of uniform length N, and group operations are performed by an oracle (the black box). The oracle can compute the product of elements, the inverse and recognize the identity element in time polynomial in N. The most important examples of black box groups are matrix groups and permutation groups. This effort was initially motivated by recent efforts to identify the structure of matrix groups defined over finite fields (see [3] [7] and [9] in this volume). -
ICTS POSTER Outside Bangalore
T A T A I N S T I T U T E O F F U N D A M E N T A L R E S E A R C H A HOMI BHABHA BIRTH CENTENARY & ICTS INAUGURAL EVENT International Centre Theoretical Sciences science without bo28 Decemberun 2009d29 -a 31 Decemberri e2009s Satish Dhawan Auditorium Faculty Hall Indian Institute of Science, Bangalore. www.icts.res.in/program/icts-ie INVITED SPEAKERS / PANELISTS INCLUDE FOUNDATION STONE CEREMONY Siva Athreya ISI, Bangalore OF ICTS CAMPUS Naama Barkai Weizmann Institute The foundation stone will be unveiled by Manjul Bhargava Princeton University Prof. C N R Rao, FRS 4:00 pm, 28 December 2009 Édouard Brézin École Normale Supérieure Amol Dighe TIFR Michael Green DAMTP, Cambridge Chandrashekhar Khare UCLA Yamuna Krishnan NCBS-TIFR Lyman Page Princeton University Jaikumar Radhakrishnan TIFR C. S. Rajan TIFR Sriram Ramaswamy IISc G. Rangarajan IISc C. N. R. Rao JNCASR Subir Sachdev Harvard University K. Sandeep CAM-TIFR Sriram Shastry UC Santa Cruz PUBLIC LECTURES Ashoke Sen HRI J. N. Tata Auditorium, IISc (FREE AND OPEN TO ALL) Anirvan Sengupta Rutgers University K. R. Sreenivasan Abdus Salam ICTP Michael Atiyah University of Edinburgh Andrew Strominger Harvard University Truth and Beauty in Mathematics and Physics 5:30 pm, 27 December 2009 Raman Sundrum Johns Hopkins University Ajay Sood IISc David Gross KITP, Santa Barbara The Role of Theory in Science Tarun Souradeep IUCAA 5:30 pm, 28 December 2009 Eitan Tadmor University of Maryland Albert Libchaber Rockefeller University Sandip Trivedi TIFR The Origin of Life: from Geophysics to Biology? Mukund Thattai NCBS-TIFR 5:30 pm, 30 December 2009 S. -
Abramo Hefez
We certify that Abramo Hefez --- Universidade Federal Fluminense participated in the “First Indo-Brazilian Symposium in Mathematics”, held at IMPA, Rio de Janeiro from July 28 to August 01, 2008 and presented the following work: “““Singularities“Singularities of analytic plane curvescurves”””” Rio de Janeiro, July 31, 2008. Jacob Palis Organizing Committee We certify that Adimurthi --- Tata Institute of Fundamental Research participated in the “First Indo-Brazilian Symposium in Mathematics”, held at IMPA, Rio de Janeiro from July 28 to August 01, 2008 and presented the following work: “““Hardy“Hardy Soblev Rellich InequalitiesInequalities”””” Rio de Janeiro, July 31, 2008. Jacob Palis Organizing Committee We certify that Antar BandyopadBandyopadhyayhyay --- Indian Statistical Institute, Delhi Centre participated in the “First Indo-Brazilian Symposium in Mathematics”, held at IMPA, Rio de Janeiro from July 28 to August 01, 2008 and presented the following work: “““Annealed“Annealed and Quenched IP for Random Walk in Dynamic Markovian EnvironmentEnvironment”””” Rio de Janeiro, July 31, 2008. Jacob Palis Organizing Committee We certify that Antonio Roberto da Silva --- Universidade Federal do Rio de Janeiro participated in the “First Indo-Brazilian Symposium in Mathematics”, held at IMPA, Rio de Janeiro from July 28 to August 01, 2008 and presented the following work: “““Modified“Modified symplectic structures in cotangent bundlesbundles of Lie groupsgroups”””” Rio de Janeiro, July 31, 2008. Jacob Palis Organizing Committee We certify that Arnaldo Leite Pinto Garcia --- Instituto Nacional de Matemática Pura e Aplicada participated in the “First Indo-Brazilian Symposium in Mathematics”, held at IMPA, Rio de Janeiro from July 28 to August 01, 2008 and presented the following work: “““On“On curves and towers over finite fieldsfields”””” Rio de Janeiro, July 31, 2008. -
Tata Institute of Fundamental Research Prof
Annual Report 1988-89 Tata Institute of Fundamental Research Prof. M. G. K. Menon inaugurating the Pelletron Accelerator Facility at TIFR on December 30, 1988. Dr. S. S. Kapoor, Project Director, Pelletron Accelerator Facility, explaining salient features of \ Ion source to Prof. M. G. K. Menon, Dr. M. R. Srinivasan, and others. Annual Report 1988-89 Contents Council of Management 3 School of Physics 19 Homi Bhabha Centre for Science Education 80 Theoretical Physics l'j Honorary Fellows 3 Theoretical A strophysics 24 Astronomy 2') Basic Dental Research Unit 83 Gravitation 37 A wards and Distinctions 4 Cosmic Ray and Space Physics 38 Experimental High Energy Physics 41 Publications, Colloquia, Lectures, Seminars etc. 85 Introduction 5 Nuclear and Atomic Physics 43 Condensed Matter Physics 52 Chemical Physics 58 Obituaries 118 Faculty 9 Hydrology M Physics of Semi-Conductors and Solid State Electronics 64 Group Committees 10 Molecular Biology o5 Computer Science 71 Administration. Engineering Energy Research 7b and Auxiliary Services 12 Facilities 77 School of Mathematics 13 Library 79 Tata Institute of Fundamental Research Homi Bhabha Road. Colaba. Bombav 400005. India. Edited by J.D. hloor Published by Registrar. Tata Institute of Fundamental Research Homi Bhabha Road, Colaba. Bombay 400 005 Printed bv S.C. Nad'kar at TATA PRESS Limited. Bombay 400 025 Photo Credits Front Cover: Bharat Upadhyay Inside: Bharat Upadhyay & R.A. A chary a Design and Layout by M.M. Vajifdar and J.D. hloor Council of Management Honorary Fellows Shri J.R.D. Tata (Chairman) Prof. H. Alfven Chairman. Tata Sons Limited Prof. S. Chandrasekhar Prof. -
Annual Report
THE INSTITUTE OF MATHEMATICAL SCIENCES C. I. T. Campus, Taramani, Chennai - 600 113. ANNUAL REPORT Apr 2003 - Mar 2004 Telegram: MATSCIENCE Fax: +91-44-2254 1586 Telephone: +91-44-2254 2398, 2254 1856, 2254 2588, 2254 1049, 2254 2050 e-mail: offi[email protected] ii Foreword I am pleased to present the progress made by the Institute during 2003-2004 in its many sub-disciplines and note the distinctive achievements of the members of the Institute. As usual, 2003-2004 was an academically productive year in terms of scientific publications and scientific meetings. The Institute conducted the “Fifth SERC School on the Physics of Disordered Systems”; a two day meeting on “Operator Algebras” and the “third IMSc Update Meeting: Automata and Verification”. The Institute co-sponsored the conference on “Geometry Inspired by Physics”; the “Confer- ence in Analytic Number Theory”; the fifth “International Conference on General Relativity and Cosmology” held at Cochin and the discussion meeting on “Field-theoretic aspects of gravity-IV” held at Pelling, Sikkim. The Institute faculty participated in full strength in the AMS conference in Bangalore. The NBHM Nurture Programme, The Subhashis Nag Memorial Lecture and The Institute Seminar Week have become an annual feature. This year’s Nag Memorial Lecture was delivered by Prof. Ashoke Sen from the Harish-Chandra Research Institute, Allahabad. The Institute has also participated in several national and international collaborative projects: the project on “Automata and concurrency: Syntactic methods for verification”, the joint project of IMSc, C-DAC and DST to bring out CD-ROMS on “The life and works of Srini- vasa Ramanujan”, the Xth plan project “Indian Lattice Gauge Theory Initiative (ILGTI)”, the “India-based neutrino observatory” project, the DRDO project on “Novel materials for applications in molecular electronics and energy storage devices” the DFG-INSA project on “The spectral theory of Schr¨odinger operators”, and the Indo-US project on “Studies in quantum statistics”. -
Raman Parimala Named 2013 Noether Lecturer
PRESS RELEASE CONTACT: Jennifer Lewis, Managing Director 703-934-0163, ext. 213 703-359-7562, fax [email protected] October 10, 2012 Raman Parimala named 2013 Noether Lecturer The Association for Women in Mathematics Eva Bayer-Fluckiger. This well-known (AWM) is pleased to announce that Raman conjecture on the Galois cohomology of linear Parimala will deliver the Noether Lecture at the algebraic groups was formulated in the early 2013 Joint Mathematics Meetings. Dr. Parimala 1960s. The problem is of continued interest and is the Arts and Sciences Distinguished Professor has yet to be solved for many exceptional of Mathematics at Emory University groups. Another of her significant and has been selected as the 2013 contributions to the theory of Noether Lecturer for her fundamental quadratic forms, jointly with V. work in algebra and algebraic geometry Suresh, can be found in a 2010 with significant contributions to the paper, where she proved that the u- study of quadratic forms, hermitian invariant of a function field of a forms, linear algebraic groups and nondyadic p-adic curve is exactly 8, Galois cohomology. settling a conjecture made nearly 30 years earlier. Parimala received her Ph.D. from the University of Mumbai (1976). She was Parimala has won many awards in a professor at the Tata Institute of Fundamental recognition of her accomplishments. She gave a Research in Mumbai for many years before plenary address at the 2010 International moving in 2005 to Emory University in Atlanta, Congress of Mathematicians (ICM) in Georgia. She has also held visiting positions at Hyderabad and a sectional address at the 1994 the Swiss Federal Institute of Technology (ETH) ICM in Zurich. -
Quantum Algorithm for Decomposing Black-Box Finite Abelian Groups
Quantum Algorithm for Decomposing Black-Box Finite Abelian Groups Yong Zhang Department of Computer Science, Kutztown University of Pennsylvania, Kutztown, PA 19530 Abstract— Cheung and Mosca [1] gave an efficient quan- to a quantum algorithm for the HIDDEN SUBGROUP problem tum algorithm for decomposing finite abelian groups in a where the given group G is abelian. In the case when G is unique-encoding group model. We present another efficient non-abelian, the HIDDEN SUBGROUP problem generalizes quantum algorithm for this problem in a more general model, other well-known problems such as GRAPH ISOMORPHISM. the black-box group model, where each group element is not However, the non-abelian case is much harder to solve and necessarily uniquely encoded. remains a major challenge in quantum computation. Before one can efficiently implement QFT to solve the Keywords: quantum computation, black-box group model abelian HIDDEN SUBGROUP problem, the decomposition of the given abelian group G must be known. Cheung and Mosca [1] first studied the problem of decomposing finite 1. Introduction abelian groups. They gave an efficient quantum algorithm for this problem. However, one of their assumptions is that Any finite abelian group G can be decomposed into each element of the input group G is uniquely represented the direct sum of cyclic subgroups of prime power order. by a binary string. In another word, their quantum algorithm However, given a set of generators for G, no efficient only works for a unique-encoding group model. classical algorithm is known to find the decomposition of G, i.e., find generators for the cyclic subgroups of G. -
LIST of PUBLICATIONS (1) (With S. Ramanan), an Infinitesimal Study of the Moduli of Hitchin Pairs. Journal of the London Mathema
LIST OF PUBLICATIONS INDRANIL BISWAS (1) (With S. Ramanan), An infinitesimal study of the moduli of Hitchin pairs. Journal of the London Mathematical Society, Vol. 49, No. 2, (1994), 219{231. (2) A remark on a deformation theory of Green and Lazarsfeld. Journal f¨urdie Reine und Angewandte Mathematik, Vol. 449 (1994), 103{124. (3) (With N. Raghavendra), Determinants of parabolic bundles on Riemann surfaces. Proceedings of the Indian Academy of Sciences (Math. Sci.), Vol. 103, No. 1, (1993), 41{71. (4) (With K. Guruprasad), Principal bundles on open surfaces and invariant functions on Lie groups. International Journal of Mathematics, Vol. 4, No. 4, (1993), 535{ 544. (5) Secondary invariants of Higgs bundles. International Journal of Mathematics, Vol. 6, No. 2, (1995), 193{204. (6) On the mapping class group action on the cohomology of the representation space of a surface. Proceedings of the American Mathematical Society, Vol. 124, No. 6, (1996), 1959{1965. (7) (With K. Guruprasad), On some geometric invariants associated to the space of flat connections on an open surface. Canadian Mathematical Bulletin, Vol. 39, No. 2, (1996), 169{177. (8) A remark on Hodge cycles on moduli spaces of rank 2 bundles over curves. Journal f¨urdie Reine und Angewandte Mathematik, Vol. 370 (1996), 143{152. (9) On Harder{Narasimhan filtration of the tangent bundle. Communications in Anal- ysis and Geometry, Vol. 3, No. 1, (1995), 1{10. (10) (With N. Raghavendra), Canonical generators of the cohomology of moduli of parabolic bundles on curves. Mathematische Annalen, Vol. 306, No. 1, (1996), 1{14. (11) (With M. -
Algorithms for Black-Box Fields and Their Application to Cryptography (Extended Abstract)
Algorithms for Black-Box Fields and their Application to Cryptography (extended abstract) Dan Hone11 Richard ,J. Lipton“ [email protected] [email protected] Princeton University, Princeton NJ 08544 Abstract. We irrtroduce the notion of a black box field and present several algorithms for manipulating such fields. Black box fields arise naturally in cryptography arid our algorit,hnnshave several cryptographic implications. First, our results show that any algebraically homomorphic cryptosystem can be broken in sub-exponential time. The existence of such cryptosystems was posed as an open problem in [la]. Second we show that, over elliptic (or hyperelliptic) curves the hardness of com- puting discrete-log implies the security of the Diffie- Hellman protocol. This provable security of the Diffie-Hellman prot,ocol over elliptic curves demonstrates an additional advantage of elliptic curve cryptosystems over conventional ones. Finally, we prove that manipulating black box fields over the rationals is as hard as factoring integers. 1 Introduction An algebraic structure is often defined as a set of operators acting on some universe. Usually there is no reference as to how the elements in the universe are represented. One can design algorithms for such an abstract algebraic structure by providing the algorithm with oracles for the various operators. We refer to such a representation of an algebraic structure as a black box represenlation. The most widely studied structure given in this fashion is the black box group [3]. In this paper we study fields given in a black box representation. We refer to such fields as black box fields, or BBF for short. -
Birds and Frogs Equation
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Quadratic Diophantine Multiscale Principles of Equations Finite Harmonic of the American Mathematical Society T. Andreescu, University of Texas at Element Analysis February 2009 Volume 56, Number 2 Dallas, Richardson, TX, USA; D. Andrica, Methods A. Deitmar, University Cluj-Napoca, Romania Theory and University of This text treats the classical theory of Applications Tübingen, quadratic diophantine equations and Germany; guides readers through the last two Y. Efendiev, Texas S. Echterhoff, decades of computational techniques A & M University, University of and progress in the area. The presenta- College Station, Texas, USA; T. Y. Hou, Münster, Germany California Institute of Technology, tion features two basic methods to This gently-paced book includes a full Pasadena, CA, USA investigate and motivate the study of proof of Pontryagin Duality and the quadratic diophantine equations: the This text on the main concepts and Plancherel Theorem. The authors theories of continued fractions and recent advances in multiscale finite emphasize Banach algebras as the quadratic fields. It also discusses Pell’s element methods is written for a broad cleanest way to get many fundamental Birds and Frogs equation. audience. Each chapter contains a results in harmonic analysis. simple introduction, a description of page 212 2009. Approx. 250 p. 20 illus. (Springer proposed methods, and numerical 2009. Approx. 345 p. (Universitext) Monographs in Mathematics) Softcover examples of those methods. Softcover ISBN 978-0-387-35156-8 ISBN 978-0-387-85468-7 $49.95 approx. $59.95 2009. X, 234 p. (Surveys and Tutorials in The Strong Free Will the Applied Mathematical Sciences) Solving Softcover Theorem Introduction to Siegel the Pell Modular Forms and ISBN: 978-0-387-09495-3 $44.95 Equation page 226 Dirichlet Series Intro- M. -
Joint Journals Catalogue EMS / MSP 2020
Joint Journals Cataloguemsp EMS / MSP 1 2020 Super package deal inside! msp 1 EEuropean Mathematical Society Mathematical Science Publishers msp 1 The EMS Publishing House is a not-for-profit Mathematical Sciences Publishers is a California organization dedicated to the publication of high- nonprofit corporation based in Berkeley. MSP quality peer-reviewed journals and high-quality honors the best traditions of quality publishing books, on all academic levels and in all fields of while moving with the cutting edge of information pure and applied mathematics. The proceeds from technology. We publish more than 16,000 pages the sale of our publications will be used to keep per year, produce and distribute scientific and the Publishing House on a sound financial footing; research literature of the highest caliber at the any excess funds will be spent in compliance lowest sustainable prices, and provide the top with the purposes of the European Mathematical quality of mathematically literate copyediting and Society. The prices of our products will be set as typesetting in the industry. low as is practicable in the light of our mission and We believe scientific publishing should be an market conditions. industry that helps rather than hinders scholarly activity. High-quality research demands high- Contact addresses quality communication – widely, rapidly and easily European Mathematical Society Publishing House accessible to all – and MSP works to facilitate it. Technische Universität Berlin, Mathematikgebäude Straße des 17. Juni 136, 10623 Berlin, Germany Contact addresses Email: [email protected] Mathematical Sciences Publishers Web: www.ems-ph.org 798 Evans Hall #3840 c/o University of California Managing Director: Berkeley, CA 94720-3840, USA Dr.