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Sastra Prize 2005
UF SASTRA PRIZE Mathematics 2005 Research Courses Undergraduate Graduate News Resources People BHARGAVA AND SOUNDARARAJAN TO RECEIVE THE FIRST SASTRA RAMANUJAN PRIZE The 2005 SASTRA Ramanujan Prize will be jointly awarded to Professors MANJUL BHARGAVA (Princeton University) and KANNAN SOUNDARARAJAN (University of Michigan). This annual prize, being awarded for the first time, is for outstanding contributions by individuals not exceeding the age of 32 in areas of mathematics influenced by Ramanujan in a broad sense. The age limit was set at 32 because Ramanujan achieved so much in his brief life of 32 years. The $10,000 prize will be awarded annually in December at the Srinivasa Ramanujan Centre of SASTRA University in Ramanujan's hometown, Kumbakonam, South India. MANJUL BHARGAVA has made phenomenal contributions to number theory, most notably by his discovery of higher order composition laws. This is his PhD thesis, written under the direction of Professor Andrew Wiles of Princeton University and published as a series of papers in the Annals of Mathematics. Gauss, the Prince of Mathematicians, constructed a law of composition for binary quadratic forms. Bhargava introduced entirely new and unexpected ideas that led to his discovery of such composition laws for forms of higher degree. Bhargava then applied these composition laws to solve a new case of one of the fundamental questions of number theory, that of the asymptotic enumeration of number fields of a given degree d. The question is trivial for d=1, and Gauss himself solved the case d=2 in 1801. Then in 1971 Davenport and Heilbronn solved the d=3 case. -
2016 SASTRA Ramanujan Prize Announced - 10-05-2016 by Manjil Saikia - Gonit Sora
2016 SASTRA Ramanujan Prize announced - 10-05-2016 by Manjil Saikia - Gonit Sora - http://gonitsora.com 2016 SASTRA Ramanujan Prize announced by Manjil Saikia - Wednesday, October 05, 2016 http://gonitsora.com/2016-sastra-ramanujan-prize-announced/ The 2016 SASTRA Ramanujan Prize was announced recently, this year the prize was awarded jointly to Kaisa Matomaki (University of Turku, Finland) and Maksym Radziwill (McGill University, Canada and Rutgers University, the US) for their "deep and far reaching contributions to several important problems in diverse areas of number theory and especially for their spectacular collaboration which is revolutionising the subject". The SASTRA Ramanujan Prize was established in 2005 and is awarded annually for outstanding contributions by young mathematicians to areas influenced by Indian mathematical genius Srinavasa Ramanujan. The 2016 SASTRA Ramanujan Prize Committee consists of Alladi- Chair (University of Florida), Henri Darmon (McGill University), Winfried Kohnen (University of Heidelberg), Hugh Montgomery (University of Michigan), Peter Sarnak (Princeton University and the Institute for Advanced Study, Princeton), Michael Schlosser (University of Vienna), and Cameron Stewart (University of Waterloo). Kaisa Matomaeki Kaisa Sofia Matomäki (born April 30 1985) is a Finnish mathematician who deals with analytical number theory. Matomäki studied mathematics at the University of Turku earning a diploma in 2005 under Matti Jutila (her thesis was on the existence of small gaps between primes). In 2009 she received her doctorate under Glyn Harman at Royal Holloway College, London University (with a PhD thesis titled Applications of sieve methods in analytic number theory). Maksym Raziwill Maksym Radziwill is a Russian-born Canadian mathematician who deals with analytical number theory.Radziwill did in doctorate in 2013 at Stanford University under the supervision of Kannan Soundararajan (his PhD thesis title was Zero-distribution and size of the Riemann zeta-function on the critical line). -
April 2010 Contents
International Association of Mathematical Physics News Bulletin April 2010 Contents International Association of Mathematical Physics News Bulletin, April 2010 Contents Reflections on the IAMP Geography 3 Aharonov-Bohm & Berry Phase Anniversaries 50/25 5 The 25th anniversary of the founding of HARL 8 An interview with Huzihiro Araki 10 Shing-Tung Yau the Wolf Prize laureate 2010 in Mathematics 14 News from the IAMP Executive Committee 22 A new associated member: PIMS 26 Bulletin editor Valentin Zagrebnov Editorial board Evans Harrell, Masao Hirokawa, David Krejˇciˇr´ık, Jan Philip Solovej Contacts [email protected] http://www.iamp.org Cover photo (courtesy of Professor A.Tonomura): From double-slit experiment to the Aharonov-Bohm effect. See a comment at the end of the page 7. The views expressed in this IAMP News Bulletin are those of the authors and do not necessary represent those of the IAMP Executive Committee, Editor or Editorial board. Any complete or partial performance or reproduction made without the consent of the author or of his successors in title or assigns shall be unlawful. All reproduction rights are henceforth reserved, mention of the IAMP News Bulletin is obligatory in the reference. (Art.L.122-4 of the Code of Intellectual Property). 2 IAMP News Bulletin, April 2010 Editorial Reflections on the IAMP Geography by Pavel Exner (IAMP President) The topic of today’s meditation was inspired by complaints of American colleagues about the shaky position our discipline enjoys in the U.S. True, such woes are ubiquitous since com- petition for resources in science was and will always be tough. -
Sastra Prize 2011
UF SASTRA PRIZE Mathematics 2011 Research Courses Undergraduate Graduate News Resources People ROMAN HOLOWINSKY TO RECEIVE 2011 SASTRA RAMANUJAN PRIZE The 2011 SASTRA Ramanujan Prize will be awarded to Roman Holowinsky, who is now an Assistant Professor at the Department of Mathematics, Ohio State University, Columbus, Ohio, USA. This annual prize which was established in 2005, is for outstanding contributions by very young mathematicians to areas influenced by the genius Srinivasa Ramanujan. The age limit for the prize has been set at 32 because Ramanujan achieved so much in his brief life of 32 years. The $10,000 prize will be awarded at the International Conference on Number Theory, Ergodic Theory and Dynamics at SASTRA University in Kumbakonam, India (Ramanujan's hometown) on December 22, Ramanujan's birthday. Dr. Roman Holowinsky has made very significant contributions to areas which are at the interface of analytic number theory and the theory of modular forms. Along with Professor Kannan Soundararajan of Stanford University (winner of the SASTRA Ramanujan Prize in 2005), Dr. Holowinsky solved an important case of the famous Quantum Unique Ergodicity (QUE) Conjecture in 2008. This is a spectacular achievement. In 1991, Zeev Rudnick and Peter Sarnak formulated the QUE Conjecture which in its general form concerns the correspondence principle for quantizations of chaotic systems. One aspect of the problem is to understand how waves are influenced by the geometry of their enclosure. Rudnick and Sarnak conjectured that for sufficiently chaotic systems, if the surface has negative curvature, then the high frequency quantum wave functions are uniformly distributed within the domain. -
Number Theory Conference in Honour of Alladi's 60Th Birthday
Asia Pacific Mathematics Newsletter Number Theory Conference in Honour of Alladi’s 60th Birthday Rochelle Kronzek Professor Krishnaswami Alladi An International Number Theory Conference in Colloquium Speaker was Dr Hugh Montgomery of the honour of Krishnaswami Alladi’s 60th Birthday held University of Michigan. Ramanujan Colloquium at the University of Florida in Gainesville, Florida from Speaker was Dr James Maynard of Magdalen College, March 17–21, 2016 was a virtual “who’s who” of the Oxford England. World’s top number theorists. Two hundred attendees In all, there were some 94 conference speakers at gathered from twenty countries including Australia, the meeting. The conference featured talks on several Austria, Canada, China, England, France, Germany, aspects of number theory, but had a special emphasis Hong Kong, Hungary, India, Israel, Korea, the Nether- on Ramanujan’s work and problems relating to gaps lands, New Zealand, Norway, Serbia, Switzerland, between prime numbers, areas which in the last two Tunisia and Turkey and the United States. years have witnessed dramatic progress. “Since The five-day conference was organised by George Professor Alladi has worked both in analytic number E Andrews (The Pennsylvania State University) and theory and has contributed much to the world of Frank Garvan (University of Florida). Dr Andrews Ramanujan, it is only natural that the conference had himself is one of the 20th–21st century’s most esteemed emphasis on these two areas of mathematics,” said number theorists. The conference was funded by the Ramanujan expert Professor George Andrews of National Science Foundation, the National Security Pennsylvania State University, who was an organiser of Agency, the Number Theory Foundation, Penn State the conference along with Professor Frank Garvan of University, as well by the UF Office of Research, CLAS, the University of Florida. -
Sastra Prize 2010
UF SASTRA PRIZE Mathematics 2010 Research Courses Undergraduate Graduate News Resources People WEI ZHANG TO RECEIVE 2010 SASTRA RAMANUJAN PRIZE The 2010 SASTRA Ramanujan Prize will be awarded to Wei Zhang, who is now a Benjamin Pierce Instructor at the Department of Mathematics, Harvard University, USA. This annual prize which was established in 2005, is for outstanding contributions by very young mathematicians to areas influenced by the genius Srinivasa Ramanujan. The age limit for the prize has been set at 32 because Ramanujan achieved so much in his brief life of 32 years. The $10,000 prize will be awarded at the International Conference on Number Theory and Automorphic Forms at SASTRA University in Kumbakonam, India (Ramanujan's hometown) on December 22, Ramanujan's birthday. Dr. Wei Zhang has made far reaching contributions by himself and in collaboration with others to a broad range of areas in mathematics including number theory, automorphic forms, L-functions, trace formulas, representation theory and algebraic geometry. We highlight some of his path-breaking contributions: In 1997, Steve Kudla constructed a family of cycles on Shimura varieties and conjectured that their generating functions are actually Siegel modular forms. The proof of this conjecture for Kudla cycles of codimension 1 is a major theorem of the Fields Medalist Borcherds. In his PhD thesis, written under the direction of Professor Shou Wu Zhang at Columbia University, New York, Wei Zhang established conditionally, among other things, a generalization of the results of Borcherds to higher dimensions, and in that process essentially settled the Kudla conjecture. His thesis, written when he was just a second year graduate student, also extended earlier fundamental work of Hirzebruch-Zagier and of Gross-Kohnen- Zagier. -
Fall 2006 [Pdf]
Le Bulletin du CRM • www.crm.umontreal.ca • Automne/Fall 2006 | Volume 12 – No 2 | Le Centre de recherches mathématiques A Review of CRM’s 2005 – 2006 Thematic Programme An Exciting Year on Analysis in Number Theory by Chantal David (Concordia University) The thematic year “Analysis in Number The- tribution of integers, and level statistics), integer and rational ory” that was held at the CRM in 2005 – points on varieties (geometry of numbers, the circle method, 2006 consisted of two semesters with differ- homogeneous varieties via spectral theory and ergodic theory), ent foci, both exploring the fruitful interac- the André – Oort conjectures (equidistribution of CM-points tions between analysis and number theory. and Hecke points, and points of small height) and quantum The first semester focused on p-adic analy- ergodicity (quantum maps and modular surfaces) The main sis and arithmetic geometry, and the second speakers were Yuri Bilu (Bordeaux I), Bill Duke (UCLA), John semester on classical analysis and analytic number theory. In Friedlander (Toronto), Andrew Granville (Montréal), Roger both themes, several workshops, schools and focus periods Heath-Brown (Oxford), Elon Lindenstrauss (New York), Jens concentrated on the new and exciting developments of the re- Marklof (Bristol), Zeev Rudnick (Tel Aviv), Wolfgang Schmidt cent years that have emerged from the interplay between anal- (Colorado, Boulder and Vienna), K. Soundararajan (Michigan), ysis and number theory. The thematic year was funded by the Yuri Tschinkel (Göttingen), Emmanuel Ullmo (Paris-Sud), and CRM, NSF, NSERC, FQRNT, the Clay Institute, NATO, and Akshay Venkatesh (MIT). the Dimatia Institute from Prague. In addition to the partici- The workshop on “p-adic repre- pants of the six workshops and two schools held during the sentations,” organised by Henri thematic year, more than forty mathematicians visited Mon- Darmon (McGill) and Adrian tréal for periods varying from two weeks to six months. -
PETER SCHOLZE to RECEIVE 2013 SASTRA RAMANUJAN PRIZE the 2013 SASTRA Ramanujan Prize Will Be Awarded to Professor Peter Scholze
PETER SCHOLZE TO RECEIVE 2013 SASTRA RAMANUJAN PRIZE The 2013 SASTRA Ramanujan Prize will be awarded to Professor Peter Scholze of the University of Bonn, Germany. The SASTRA Ramanujan Prize was established in 2005 and is awarded annually for outstanding contributions by young mathematicians to areas influenced by the genius Srinivasa Ramanujan. The age limit for the prize has been set at 32 because Ramanujan achieved so much in his brief life of 32 years. The prize will be awarded in late December at the International Conference on Number Theory and Galois Representations at SASTRA University in Kumbakonam (Ramanujan's hometown) where the prize has been given annually. Professor Scholze has made revolutionary contributions to several areas at the interface of arithmetic algebraic geometry and the theory of automorphic forms. Already in his master's thesis at the University of Bonn, Scholze gave a new proof of the Local Langlands Conjecture for general linear groups. There were two previous approaches to this problem, one by Langlands{Kottwitz, and another by Harris and Taylor. Scholze's new approach was striking for its efficiency and simplicity. Scholze's proof is based on a novel approach to calculate the zeta function of certain Shimura varieties. This work completed in 2010, appeared in two papers in Inventiones Mathematicae in 2013. Scholze has generalized his methods partly in collaboration with Sug Woo Shin to determine the `-adic Galois representations defined by a class of Shimura varieties. These results are contained in two papers published in 2013 in the Journal of the American Mathematical Society. While this work for his master's was groundbreaking, his PhD thesis written under the direction of Professor Michael Rapoport at the University of Bonn was a more mar- velous breakthrough and a step up in terms of originality and insight. -
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond
From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond Owen Barrett, Frank W. K. Firk, Steven J. Miller, and Caroline Turnage-Butterbaugh Abstract The discovery of connections between the distribution of energy levels of heavy nuclei and spacings between prime numbers has been one of the most sur- prising and fruitful observations in the twentieth century. The connection between the two areas was first observed through Montgomery’s work on the pair correla- tion of zeros of the Riemann zeta function. As its generalizations and consequences have motivated much of the following work, and to this day remains one of the most important outstanding conjectures in the field, it occupies a central role in our discussion below. We describe some of the many techniques and results from the past sixty years, especially the important roles played by numerical and experimen- tal investigations, that led to the discovery of the connections and progress towards understanding the behaviors. In our survey of these two areas, we describe the com- mon mathematics that explains the remarkable universality. We conclude with some thoughts on what might lie ahead in the pair correlation of zeros of the zeta function, and other similar quantities. Owen Barrett, arXiv:1505.07481v1 [math.NT] 27 May 2015 Yale University, New Haven, CT 06520, e-mail: [email protected] Frank W. K. Firk, Yale University, New Haven, CT 06520 e-mail: [email protected] Steven J. Miller, Williams College, Williamstown, MA 01267 e-mail: [email protected]. edu,[email protected] Caroline Turnage-Butterbaugh, Duke University, Durham, NC 27708 e-mail: [email protected] 1 Contents From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond .................................................. -
IT Is Happening at SASTRA
ITIHAS IT Is Happening At SASTRA Newsletter from SASTRA DEEMED UNIVERSITY Vol 19 IV Quarter 2019 MESSAGE FROM THE VICE-CHANCELLOR SASTRA-RAMANUJAN AWARD 2019 SASTRA has made an indelible mark in The SASTRA Ramanujan Award for 2019 was the international scientific community by awarded to mathematician Dr. Adam Harper, Assistant earning the recognition of the Royal Society Professor, University of Warwick, England. The prize at England for its SASTRA-Ramanujan carries a citation and an award of $10,000 and is Award, which it confers annually on young researchers in Mathematics. In its December conferred annually on mathematicians from across the 2019 Special Issue of the ‘Philosophical world, who are less than 32 years of age, working in Transactions’ to commemorate the an area influenced by the genius Srinivasa Ramanujan. Centenary of Ramanujan’s election as FRS, the Royal Society The SASTRA-Ramanujan Award has gained global has commended SASTRA’s effort by publishing a paper titled repute ever since it was instituted in 2005 and today “Ramanujan’s Legacy: The Work of SASTRA Prize Winners”. It is easily amongst the top five awards of this type for is also noteworthy that four recipients of SASTRA-Ramanujan mathematics. Dr.S. Vaidhyasubramaniam, the Vice- Award have gone on to win the Fields Medal. Chancellor of SASTRA University, in his welcome note The 2019 SASTRA-Ramanujan Award was presented to Adam mentioned that many previous winners of SASTRA- Harper of the University of Warwick for his outstanding contributions to probabilistic number theory. Ken Ono, Ramanujan Award, including Manjul Bhargava and the Vice President of the American Mathematical Society, Akshay Venkatesh, have gone on to win the Fields recalled that Harper was the Ph.D student of Prof.Ben Green Medal subsequently. -
January 2019 Volume 66 · Issue 01
ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices ofof the American MathematicalMathematical Society January 2019 Volume 66, Number 1 The cover art is from the JMM Sampler, page 84. AT THE AMS BOOTH, JMM 2019 ISSN 0002-9920 (print) ISSN 1088-9477 (online) Notices of the American Mathematical Society January 2019 Volume 66, Number 1 © Pomona College © Pomona Talk to Erica about the AMS membership magazine, pick up a free Notices travel mug*, and enjoy a piece of cake. facebook.com/amermathsoc @amermathsoc A WORD FROM... Erica Flapan, Notices Editor in Chief I would like to introduce myself as the new Editor in Chief of the Notices and share my plans with readers. The Notices is an interesting and engaging magazine that is read by mathematicians all over the world. As members of the AMS, we should all be proud to have the Notices as our magazine of record. Personally, I have enjoyed reading the Notices for over 30 years, and I appreciate the opportunity that the AMS has given me to shape the magazine for the next three years. I hope that under my leadership even more people will look forward to reading it each month as much as I do. Above all, I would like the focus of the Notices to be on expository articles about pure and applied mathematics broadly defined. I would like the authors, topics, and writing styles of these articles to be diverse in every sense except for their desire to explain the mathematics that they love in a clear and engaging way. -
ITIHAS (IT Is Happening at SASTRA)
ITIHAS (IT Is Happening At SASTRA) Newsletter from SASTRA University v Vol. 14 IV Quarter 2014 Message from the SASTRA-RAMANUJAN AWARD 2014 VICE - CHANCELLOR I share my happiness with all of you on The SASTRA-Ramanujan Award for 2014 was the successful completion of 30 academic presented to Prof. James Maynard, Oxford University, years of the institution ever since it England & University of Montreal, Canada on started in 1984 and now we march our entry into the institution’s 4th decade. The December 21, 2014 at the International Conference progress and the achievements we have on Number Theory held at Srinivasa Ramanujan made in the last 30 years is definitely Centre, SASTRA University, Kumbakonam. The satisfying to realise the fact that we started with three degree programmes SASTRA Ramanujan Prize was established in 2005 with a modest student strength of 90 and today stand tall to offer and is awarded annually for outstanding about 56 programmes besides Ph. D. programmes. Of course, the contributions by young mathematicians to areas current status of SASTRA would not have been achieved in such a short span of time without the exemplary performance of students influenced by the genius Srinivasa Ramanujan. The and resounding faith placed by the parents, recruiters and other age limit for the prize has been set at 32 because stakeholders who are always part of our external ecosystem. Ramanujan had achieved so much in his brief life of 32 While, we rejoice our successes, it is also equally important to review our performance and place new benchmarks to reach newer years.