Nima Arkani-Hamed, Juan Maldacena, Nathan Both Particle Physicists and Astrophysicists, We Are in an Ideal Seiberg, and Edward Witten
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For Digital Simulation and Advanced Computation 2002 Annual Research Report
for Digital Simulation and Advanced Computation 2002 Annual Research Report 2002 Annual Research Report of the Supercomputing Institute for Digital Simulation and Advanced Computation Visit us on the Internet: www.msi.umn.edu Supercomputing Institute for Digital Simulation and Advanced Computation University of Minnesota 599 Walter 117 Pleasant Street SE Minneapolis, Minnesota 55455 ©2002 by the Regents of the University of Minnesota. All rights reserved. This report was prepared by Supercomputing Institute researchers and staff. Editor: Tracey Bartlett This information is available in alternative formats upon request by individuals with disabilities. Please send email to [email protected] or call (612) 625-1818. The University of Minnesota is committed to the policy that all persons shall have equal access to its programs, facilities, and employment without regard to race, color, creed, religion, national origin, sex, age, marital status, disability, public assistance status, veteran status, or sex- ual orientation. contains a minimum of 10% postconsumer waste Table of Contents Introduction Supercomputing Resources Overview....................................................................................................................................2 Supercomputers ........................................................................................................................3 Research Laboratories and Programs ......................................................................................5 Supercomputing Institute -
On the Existence and Temperedness of Cusp Forms for SL3(Z)
On the Existence and Temperedness of Cusp Forms for SL3(Z) Stephen D. Miller∗ Department of Mathematics Yale University P.O. Box 208283 New Haven, CT 06520-8283 [email protected] Abstract We develop a partial trace formula which circumvents some tech- nical difficulties in computing the Selberg trace formula for the quo- tient SL3(Z) SL3(R)/SO3(R). As applications, we establish the Weyl asymptotic law\ for the discrete Laplace spectrum and prove that al- most all of its cusp forms are tempered at infinity. The technique shows there are non-lifted cusp forms on SL3(Z) SL3(R)/SO3(R) as well as non-self-dual ones. A self-contained description\ of our proof for SL2(Z) H is included to convey the main new ideas. Heavy use is made of truncation\ and the Maass-Selberg relations. 1 Introduction In the 1950s A. Selberg ([Sel1]) developed his trace formula to prove the ex- istence of non-holomorphic, everywhere-unramified, cuspidal “Maass” forms. These are real-valued functions on the upper-half plane H = x + iy y > 0 { | } which are invariant under the action of SL2(Z) by fractional linear trans- formations. Unlike the holomorphic cusp forms, which can all be explicitly ∗The author was supported by an NSF Postdoctoral Fellowship during this work. 1 2 Stephen D. Miller described, no Maass form for SL2(Z) has ever been constructed and they are believed to be intrinsically transcendental. 2 The non-constant Laplace eigenfunctions in L (SL2(Z) H) are all Maass \ forms. Since SL2(Z) H is noncompact, their existence is no triviality; they very likely do not exist\ on the generic finite-volume quotient of H (see [Sarnak]). -
ZETA FUNCTIONS of GRAPHS Graph Theory Meets Number Theory in This Stimulating Book
This page intentionally left blank CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 128 Editorial Board B. BOLLOBAS,´ W. FULTON, A. KATOK, F. KIRWAN, P. SARNAK, B. SIMON, B. TOTARO ZETA FUNCTIONS OF GRAPHS Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann or Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and a prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta function are produced, showing that you cannot “hear” the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory and also with expander and Ramanujan graphs, of interest in computer science. Pitched at beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout. Audrey Terras is Professor Emerita of Mathematics at the University of California, San Diego. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS Editorial Board: B. Bollobas,´ W. Fulton, A. Katok, F. Kirwan, P. Sarnak, B. Simon, B. Totaro All the titles listed below can be obtained from good booksellers of from Cambridge University Press. For a complete series listing visit: http://www.cambridge.org/series/sSeries.asp?code=CSAM Already published 78 V. -
On the Stability of the Gliese 876 System of Planets and the Importance of the Inner Planet
On the Stability of the Gliese 876 System of Planets and the Importance of the Inner Planet By: Ricky Leon Murphy Major Project – HET617 – Computational Astrophysics S2 – 2005 | Supervisor: Professor James Murray Background Image Credits: HIRES Echelleogram: http://exoplanets.org/gl876_web/gl876_tech.html Above: Gliese 876d Artist Rendition: http://exoplanets.org/gl876_web/gl876_graphics.html Abstract: Above: Above: Above: Using the SWIFT simulator code, a 5,000 Changing the mass of the inner body has In addition to mass, the eccentricity of the inner year simulation of the current Gliese 876 resulted in the middle planet to take on a body also severely affects system stability. A third planet with a mass of 0.023 MJ was found orbiting the star Gliese 876. system was performed (Monte Carlo more distant orbit. The eccentricity of this Here the mass of the inner body is the same simulations - to determine the best Cartesian body was very high, so the mass of the inner The initial two body system was found to have a perfect orbital resonance as the stable system (0.023M J ) with a change of 2/1. This paper will demonstrate the orbital stability to maintain this coordinates). The result is a system that is body was not available to ensure system in the orbital eccentricity from 0 to 0.1. None of stable. These parameters will be used for the stability. The mass of the inner body was the planets are able to hold their orbits. ratio is highly dependant on the presence of the small, inner planet. In remaining simulations of Gliese 876. -
Scott Duncan Tremaine
Essay‐Contest 2017/18 Leon Ritterbach, International School Kufstein, 9. Schulstufe, Fremdsprachenerwerb: 5 Jahre Scott Duncan Tremaine Astrophysics is a very interesting field of science. You explore the whole universe, from tiny Asteroids to huge black holes. Every time you solve one of the mind breaking riddles that the universe has to offer, it raises new questions. You can find out how the universe works and how forces like gravity form the universe we know and act on us. Scott Duncan Tremaine is one of the people who were lucky enough to be able to study astrophysics. Today, he is 68 years old and one of the world’s leading astrophysicists. He is a fellow of the Royal Society and a member of the National Academy of Sciences. He made predictions about planetary rings, has written an outstanding book “Galactic Dynamics” and named the Kuiper belt. Scott Tremaine’s research is focused on the dynamics of a wide range of astrophysical systems, including planetary rings, comets, planetary systems, galaxies, and clusters of galaxies (structures that consists of anywhere from hundreds to thousands of galaxies). He is known for his contributions to the theory of Solar Systems, Galactic Dynamics and his prediction of small moons keeping the belts of planets in place. Tremaine is so popular that there is even an asteroid named after him, 3806 Tremaine. (Canada under the stars/ 2007), (Princeton University, Department of astrophysical sciences, 2018), (Perimeter Institute for Theoretical Physics/ 2012), (National Academy of Sciences/ 2002), (The Royal Society/ 1994), (Scott Tremaine ‐ Video Learning ‐ WizScience.com/ 2015), (IAS/ 2018) Tremaine grew up in Toronto. -
Physics Today
Physics Today The Dynamical Evidence for Dark Matter Scott Tremaine Citation: Physics Today 45(2), 28 (1992); doi: 10.1063/1.881329 View online: http://dx.doi.org/10.1063/1.881329 View Table of Contents: http://scitation.aip.org/content/aip/magazine/physicstoday/45/2?ver=pdfcov Published by the AIP Publishing This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 128.112.203.62 On: Mon, 25 Aug 2014 15:15:09 THE DYNAMICAL EVIDENCE FOR DARK MATTER 'The Starry Night/ by Vincent van Gogh. The 1889 oil painting suggests how the night sky might look if all of the mass in the universe were luminous. Observations of galaxy dynamics and modern theories of galaxy formation imply that the visible components of galaxies, composed mostly of stars, lie at the centers of vast halos of dark matter that may be 30 or more times larger than the visible galaxy. In most models of galaxy formation, the halos are comparable in size to the distance between galaxies. The halos form as a result of the gravitational instability of small density fluctuations in the early universe; the star-forming gas collects at the minima of the halo potential wells. Infall of outlying material into existing halos and mergers of small halos with larger ones continue at the present time. If the halos were visible to the naked eye, there would be well over 1000 nearby galaxies with halo diameters larger than the full Moon. -
Acknowledgment of Reviewers, 2015
Acknowledgment of Reviewers, 2015 The PNAS editors would like to thank all the individuals who dedicated their considerable time and expertise to the journal by serving as reviewers in 2015. Their generous contribution is deeply appreciated. A Peter B. Adler Colin J. Akerman Eric E. Allen James Ammerman Duur K. Aanen Ralph Adolphs Joshua M. Akey Heather C. Allen David M. Amodio Adam R. Abate Ruedi Aebersold Anna Akhmanova Jim Allen Valentin Amrhein John T. Abatzoglou Hugo Aerts Hajime Akimoto Karen N. Allen Esther Amstad Jonathan Abbatt Hagit P. Affek Akin Akinc Michael F. Allen Ronald Amundson Allison Abbott Arash Afraz Shizuo Akira Paul M. Allen Weihua An Jeffrey Abbott Theodor Agapie Ozan Akkus Rosalind J. Allen Zhiqiang An Larry F. Abbott David A. Agard Ivona Aksentijevich Morten Erik Allentoft Laura Diaz Anadon Nicholas L. Abbott Sapan Agarwal Serap Aksoy Stefano Allesina Ganesh Srinivasan Anand Chaouki T. Abdallah Joel W. Ager III Yousef Al-Abed David B. Allison Cort Anastasio Omar Abdel-Wahab Ingi Agnarsson Ashraf Al-Amoudi Steven D. Allison Lefteris Jason Ikuro Abe Anurag A. Agrawal Eric E. Alani Julian M. Allwood Anastasopoulos Stephen Tobias Abedon Ashutosh Agrawal Balbino Alarcón Eric J. Alm Hossain Anawar Moshe Abeles Rakesh Agrawal Qais Al-Awqati Benjamin A. Alman Elissar Andari Asa Abeliovich Jon Ågren Joseph Albanesi Ingvild Almas William R. L. Anderegg John Aber Alan Agresti Francis Albarede Steven C. Almo John M. Anderies Clara Abraham Jeremy J. Agresti Umberto Albarella Douglas Almond Mark L. Andermann John Abraham Jay J. Ague Silas D. Alben Uri Alon Bogi Andersen Daniel A. Abrams Fernan Agüero Frank Alber José M. -
The Evolution of Long-Period Comets
Icarus 137, 84–121 (1999) Article ID icar.1998.6040, available online at http://www.idealibrary.com on The Evolution of Long-Period Comets Paul Wiegert Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3, Canada E-mail: [email protected] and Scott Tremaine Princeton University Observatory, Peyton Hall, Princeton, New Jersey 08544-1001 Received May 16, 1997; revised September 29, 1998 the length of time over which routine telescopic observations We study the evolution of long-period comets by numerical in- have been taken—the sample of comets with longer periods is tegration of their orbits, a more realistic dynamical approach than much less complete; (iii) the planetary perturbations suffered the Monte Carlo and analytic methods previously used to study by comets with periods longer than 200 yr are uncorrelated on this problem. We follow the comets from their origin in the Oort successive perihelion passages. The orbits of typical Halley- cloud until their final escape or destruction, in a model solar sys- type and Jupiter-family comets are further distinguished by tem consisting of the Sun, the four giant planets and the Galactic (i) their inclinations, which are much larger for Halley-type tide. We also examine the effects of nongravitational forces as well comets; (ii) their Tisserand invariants T , which are typically as the gravitational forces from a hypothetical solar companion greater than 2 for Jupiter-family comets (Carusi and Valsecchi or circumsolar disk. We confirm the conclusion of Oort and other investigators that the observed distribution of long-period comet 1992; Levison 1996). -
Iasthe Institute Letter
G12-12126_IAS_SpringNL.qxp 4/19/12 12:13 PM Page 1 Th e Insti tute Letter InIstitute foAr AdvancedS Study Spring 2012 Dipesh Chakrabarty Appointed Professor Extrasolar Planets and the New Astronomy in School of Social Science BY ARISTOTLE SOCRATES ipesh Chakrabarty, a social historian whose re - Dsearch has transformed understanding of national - he desire to discover distant, rare, and strange ist and postcolonial historiographies, particularly in the Tobjects dominated twentieth-century astronomy, context of modern South Asia, has been appointed to for which increasingly larger and more sensitive the Faculty of the School of Social Science at the In - telescopes were constructed. stitute, with effect from July 1, 2013, succeeding Joan The act of carrying out this objective has brought Wallach Scott as Harold F. Linder Professor. Scott has enormous —and somewhat unbelievable—rewards: A S A served on the Faculty of the School since 1985, and will We now accept that we orbit a thermonuclear fur - N - V O become Professor Emerita from July 2013. nace, the Sun, whose physical properties are quite G S U - Chakrabarty is currently Lawrence A. Kimpton Dis - common, so common that there are nearly 100 bil - D P R A D M tinguished Service Professor in the Department of His - lion Sun-like stars within our galaxy, the Milky Way. U J Artist’s impression of a hot Jupiter, a A M tory and the Department of South Asian Languages It was discovered that the Milky Way was not, in type of extrasolar planet. Though hot A N O and Civilizations at the University of Chicago. -
Stephen David Miller
Stephen D. Miller -- Curriculum Vitae Born 1974, New York, USA http://www.math.rutgers.edu/~sdmiller Citizenship: USA [email protected] Faculty Positions Held Graduate Vice-Chair, Rutgers University Mathematics Department 2014-2016 Professor of Mathematics, Rutgers University 2012- Associate Professor of Mathematics, Rutgers University 2004-2012 Associate Professor of Mathematics, Hebrew University, Jerusalem 2005-2006 Assistant Professor of Mathematics, Rutgers University 2001-2004 Assistant Professor of Mathematics, Yale University 1997-2001 Visiting and Postdoctoral Positions Consultant, Cryptography and Anti-Piracy Group, Microsoft Corporation 2004-2008 Consultant, Theory Group, Microsoft Corporation 2002 NSF Postdoctoral Fellowship, Harvard University 1999-2000 NSF Postdoctoral Fellowship, UC San Diego 1997 Education Ph.D., Princeton University 1997 Advisor: Peter Sarnak Dissertation: Cusp Forms on SL(3,Z)\SL(3,R)/SO(3,R) M.A., Princeton University 1994 A.B. University of California, Berkeley 1993 Awards and Grants • Fellow of the American Mathematical Society, 2018 • National Science Foundation grant in Cryptography, CNS-1526333, 2015-2018 ($499,522) • National Science Foundation grant in Number Theory, DMS-1500562, 2015-2018 ($75,000) • PI on Rutgers University GAANN grant (2014-2018) • National Science Foundation grant in Number Theory, DMS-1201362, 2012-2015 ($314,500) • National Science Foundation grant in Number Theory, DMS-0901594, 2009-2012 ($240,000). • National Science Foundation grant in Number Theory, DMS-0601009, 2006-2009 ($133,047). • National Science Foundation grant in Number Theory, DMS-0301172, 2003- 2006, ($105,000). • Alfred P. Sloan Fellow, 2003-2005 ($40,000). • National Science Foundation grant in Number Theory, DMS-0122799, 2001-2003 ($69,190). • National Security Agency Young Investigators Grant for Number Theory, 1999- 2000. -
Astronomy and Astrophysics in the New Millennium an Overview
Astronomy and Astrophysics in the New Millennium an overview Astronomy and Astrophysics Survey Committee Board on Physics and Astronomy Space Studies Board Division on Engineering and Physical Sciences National Research Council National Academy Press Washington, D.C. ABOUT THE NATIONAL ACADEMIES For more than 100 years, the National Academies have provided independent advice on issues of science, technology, and medicine that underlie many questions of national importance. The National Academies—comprising the National Academy of Sciences, the National Academy of Engineering, the Institute of Medicine, and the National Research Council—work together to enlist the nation’s top scientists, engineers, health professionals, and other experts to study specic issues. The results of their deliberations have inspired some of America’s most signicant and lasting efforts to improve the health, education, and welfare of the nation. To learn more about Academies’ activities, check the Web site at www.nationalacademies.org. The project that is the subject of this report was approved by the Governing Board of the National Research Council, whose members are drawn from the councils of the National Academy of Sciences, the National Academy of Engineering, and the Institute of Medicine. The members of the committee whose work this report summarizes were chosen for their special competences and with regard for appropriate balance. This project was supported by the National Aeronautics and Space Administration under Grant No. NAG5-6916, the National Science Foundation under Grant No. AST-9800149, and the Keck Foundation. Additional copies of this report are available from: Board on Physics and Astronomy, National Research Council, HA 562, 2101 Constitution Avenue, N.W., Washington, DC 20418; Internet <http://www.nationalacademies.org/bpa>. -
LETTERS to the EDITOR Responses to ”A Word From… Abigail Thompson”
LETTERS TO THE EDITOR Responses to ”A Word from… Abigail Thompson” Thank you to all those who have written letters to the editor about “A Word from… Abigail Thompson” in the Decem- ber 2019 Notices. I appreciate your sharing your thoughts on this important topic with the community. This section contains letters received through December 31, 2019, posted in the order in which they were received. We are no longer updating this page with letters in response to “A Word from… Abigail Thompson.” —Erica Flapan, Editor in Chief Re: Letter by Abigail Thompson Sincerely, Dear Editor, Blake Winter I am writing regarding the article in Vol. 66, No. 11, of Assistant Professor of Mathematics, Medaille College the Notices of the AMS, written by Abigail Thompson. As a mathematics professor, I am very concerned about en- (Received November 20, 2019) suring that the intellectual community of mathematicians Letter to the Editor is focused on rigor and rational thought. I believe that discrimination is antithetical to this ideal: to paraphrase I am writing in support of Abigail Thompson’s opinion the Greek geometer, there is no royal road to mathematics, piece (AMS Notices, 66(2019), 1778–1779). We should all because before matters of pure reason, we are all on an be grateful to her for such a thoughtful argument against equal footing. In my own pursuit of this goal, I work to mandatory “Diversity Statements” for job applicants. As mentor mathematics students from diverse and disadvan- she so eloquently stated, “The idea of using a political test taged backgrounds, including volunteering to help tutor as a screen for job applicants should send a shiver down students at other institutions.