IAS Letter Spring 2004
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CMI Summer Schools
CMI Summer Schools 2007 Homogeneous flows, moduli spaces, and arithmetic De Giorgi Center, Pisa 2006 Arithmetic Geometry The Clay Mathematics Institute has Mathematisches Institut, conducted a program of research summer schools Georg-August-Universität, Göttingen since 2000. Designed for graduate students and PhDs within five years of their degree, the aim of 2005 Ricci Flow, 3-manifolds, and Geometry the summer schools is to furnish a new generation MSRI, Berkeley of mathematicians with the knowledge and tools needed to work successfully in an active research CMI summer schools 2004 area. Three introductory courses, each three weeks Floer Homology, Gauge Theory, and in duration, make up the core of a typical summer Low-dimensional Topology school. These are followed by one week of more Rényi Institute, Budapest advanced minicourses and individual talks. Size is limited to roughly 100 participants in order to 2003 Harmonic Analysis, Trace Formula, promote interaction and contact. Venues change and Shimura Varieties from year to year, and have ranged from Cambridge, Fields Institute, Toronto Massachusetts to Pisa, Italy. The lectures from each school are published in the CMI–AMS proceedings 2002 Geometry and String Theory series, usually within two years’ time. Newton Institute, Cambridge UK Summer Schools 2001 www.claymath.org/programs/summer_school Minimal surfaces MSRI, Berkeley Summer School Proceedings www.claymath.org/publications 2000 Mirror Symmetry Pine Manor College, Boston 2006 Arithmetic Geometry Summer School in Göttingen techniques are drawn from the theory of elliptic The 2006 summer school program will introduce curves, including modular curves and their para- participants to modern techniques and outstanding metrizations, Heegner points, and heights. -
Tōhoku Rick Jardine
INFERENCE / Vol. 1, No. 3 Tōhoku Rick Jardine he publication of Alexander Grothendieck’s learning led to great advances: the axiomatic description paper, “Sur quelques points d’algèbre homo- of homology theory, the theory of adjoint functors, and, of logique” (Some Aspects of Homological Algebra), course, the concepts introduced in Tōhoku.5 Tin the 1957 number of the Tōhoku Mathematical Journal, This great paper has elicited much by way of commen- was a turning point in homological algebra, algebraic tary, but Grothendieck’s motivations in writing it remain topology and algebraic geometry.1 The paper introduced obscure. In a letter to Serre, he wrote that he was making a ideas that are now fundamental; its language has with- systematic review of his thoughts on homological algebra.6 stood the test of time. It is still widely read today for the He did not say why, but the context suggests that he was clarity of its ideas and proofs. Mathematicians refer to it thinking about sheaf cohomology. He may have been think- simply as the Tōhoku paper. ing as he did, because he could. This is how many research One word is almost always enough—Tōhoku. projects in mathematics begin. The radical change in Gro- Grothendieck’s doctoral thesis was, by way of contrast, thendieck’s interests was best explained by Colin McLarty, on functional analysis.2 The thesis contained important who suggested that in 1953 or so, Serre inveigled Gro- results on the tensor products of topological vector spaces, thendieck into working on the Weil conjectures.7 The Weil and introduced mathematicians to the theory of nuclear conjectures were certainly well known within the Paris spaces. -
Karen Uhlenbeck Awarded the 2019 Abel Prize
RESEARCH NEWS Karen Uhlenbeck While she was in Urbana-Champagne (Uni- versity of Illinois), Karen Uhlenbeck worked Awarded the 2019 Abel with a postdoctoral fellow, Jonathan Sacks, Prize∗ on singularities of harmonic maps on 2D sur- faces. This was the beginning of a long journey in geometric analysis. In gauge the- Rukmini Dey ory, Uhlenbeck, in her remarkable ‘removable singularity theorem’, proved the existence of smooth local solutions to Yang–Mills equa- tions. The Fields medallist Simon Donaldson was very much influenced by her work. Sem- inal results of Donaldson and Uhlenbeck–Yau (amongst others) helped in establishing gauge theory on a firm mathematical footing. Uhlen- beck’s work with Terng on integrable systems is also very influential in the field. Karen Uhlenbeck is a professor emeritus of mathematics at the University of Texas at Austin, where she holds Sid W. Richardson Foundation Chair (since 1988). She is cur- Karen Uhlenbeck (Source: Wikimedia) rently a visiting associate at the Institute for Advanced Study, Princeton and a visiting se- nior research scholar at Princeton University. The 2019 Abel prize for lifetime achievements She has enthused many young women to take in mathematics was awarded for the first time up mathematics and runs a mentorship pro- to a woman mathematician, Professor Karen gram for women in mathematics at Princeton. Uhlenbeck. She is famous for her work in ge- Karen loves gardening and nature hikes. Hav- ometry, analysis and gauge theory. She has ing known her personally, I found she is one of proved very important (and hard) theorems in the most kind-hearted mathematicians I have analysis and applied them to geometry and ever known. -
FIELDS MEDAL for Mathematical Efforts R
Recognizing the Real and the Potential: FIELDS MEDAL for Mathematical Efforts R Fields Medal recipients since inception Year Winners 1936 Lars Valerian Ahlfors (Harvard University) (April 18, 1907 – October 11, 1996) Jesse Douglas (Massachusetts Institute of Technology) (July 3, 1897 – September 7, 1965) 1950 Atle Selberg (Institute for Advanced Study, Princeton) (June 14, 1917 – August 6, 2007) 1954 Kunihiko Kodaira (Princeton University) (March 16, 1915 – July 26, 1997) 1962 John Willard Milnor (Princeton University) (born February 20, 1931) The Fields Medal 1966 Paul Joseph Cohen (Stanford University) (April 2, 1934 – March 23, 2007) Stephen Smale (University of California, Berkeley) (born July 15, 1930) is awarded 1970 Heisuke Hironaka (Harvard University) (born April 9, 1931) every four years 1974 David Bryant Mumford (Harvard University) (born June 11, 1937) 1978 Charles Louis Fefferman (Princeton University) (born April 18, 1949) on the occasion of the Daniel G. Quillen (Massachusetts Institute of Technology) (June 22, 1940 – April 30, 2011) International Congress 1982 William P. Thurston (Princeton University) (October 30, 1946 – August 21, 2012) Shing-Tung Yau (Institute for Advanced Study, Princeton) (born April 4, 1949) of Mathematicians 1986 Gerd Faltings (Princeton University) (born July 28, 1954) to recognize Michael Freedman (University of California, San Diego) (born April 21, 1951) 1990 Vaughan Jones (University of California, Berkeley) (born December 31, 1952) outstanding Edward Witten (Institute for Advanced Study, -
What's Inside
Newsletter A publication of the Controlled Release Society Volume 32 • Number 1 • 2015 What’s Inside 42nd CRS Annual Meeting & Exposition pH-Responsive Fluorescence Polymer Probe for Tumor pH Targeting In Situ-Gelling Hydrogels for Ophthalmic Drug Delivery Using a Microinjection Device Interview with Paolo Colombo Patent Watch Robert Langer Awarded the Queen Elizabeth Prize for Engineering Newsletter Charles Frey Vol. 32 • No. 1 • 2015 Editor Table of Contents From the Editor .................................................................................................................. 2 From the President ............................................................................................................ 3 Interview Steven Giannos An Interview with Paolo Colombo from University of Parma .............................................. 4 Editor 42nd CRS Annual Meeting & Exposition .......................................................................... 6 What’s on Board Access the Future of Delivery Science and Technology with Key CRS Resources .............. 9 Scientifically Speaking pH-Responsive Fluorescence Polymer Probe for Tumor pH Targeting ............................. 10 Arlene McDowell Editor In Situ-Gelling Hydrogels for Ophthalmic Drug Delivery Using a Microinjection Device ........................................................................................................ 12 Patent Watch ................................................................................................................... 14 Special -
Kähler-Einstein Metrics on Fano Manifolds. I
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 1, January 2015, Pages 183–197 S 0894-0347(2014)00799-2 Article electronically published on March 28, 2014 KAHLER-EINSTEIN¨ METRICS ON FANO MANIFOLDS. I: APPROXIMATION OF METRICS WITH CONE SINGULARITIES XIUXIONG CHEN, SIMON DONALDSON, AND SONG SUN 1. Introduction This is the first of a series of three articles which provide proofs of results an- nounced in [9]. Let X be a Fano manifold of complex dimension n.Letλ>0bean integer and D be a smooth divisor in the linear system |−λKX |.Forβ ∈ (0, 1) there is now a well-established notion of a K¨ahler-Einstein metric with a cone singularity of cone angle 2πβ along D. (It is often called an “edge-cone” singularity). For brevity, we will just say that ω has cone angle 2πβ along D. The Ricci curvature of such a metric ω is (1−λ(1−β))ω. Our primary concern is the case of positive Ricci −1 curvature, so we suppose throughout most of the article that β ≥ β0 > 1 − λ . However our arguments also apply to the case of non-positive Ricci curvature: see Remark 3.10. Theorem 1.1. If ω is a K¨ahler-Einstein metric with cone angle 2πβ along D with β ≥ β0,then(X, ω) is the Gromov-Hausdorff limit of a sequence of smooth K¨ahler metrics with positive Ricci curvature and with diameter bounded by a fixed number depending only on β0,λ. This suffices for most of our applications but we also prove a sharper statement. -
NMD, National Security Issues Featured at 2001 April Meeting In
April 2001 NEWS Volume 10, No. 4 A Publication of The American Physical Society http://www.aps.org/apsnews NMD, National Security Issues Featured Phase I CPU Report to be at 2001 April Meeting in Washington Discussed at Attendees of the 2001 APS April include a talk on how the news me- Meeting, which returns to Wash- dia cover science by David April Meeting ington, DC, this year, should arrive Kestenbaum, a self-described “es- The first phase of a new Na- just in time to catch the last of the caped physicist who is hiding out tional Research Council report of cherry blossom season in between at National Public Radio,” and a lec- the Committee on the Physics of scheduled sessions and special ture on entangled photons for the Universe (CPU) will be the events. The conference will run quantum information by the Uni- topic of discussion during a spe- April 28 through May 1, and will versity of Illinois’ Paul Kwiat. Other cial Sunday evening session at the feature the latest results in nuclear scheduled topics include imaging APS April Meeting in Washing- physics, astrophysics, chemical the cosmic background wave back- ton, DC. The session is intended physics, particles and fields, com- ground, searching for extra to begin the process of collect- putational physics, plasma physics, dimensions, CP violation in B me- ing input from the scientific the physics of beams, and physics sons, neutrino oscillations, and the community on some of the is- history, among other subdisci- amplification of atoms and light in The White House and (inset) some of its famous fictional sues outlined in the draft report, plines. -
Twenty Female Mathematicians Hollis Williams
Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg ............................................................................................................................. -
A Note on Background (In)Dependence
RU-91-53 A Note on Background (In)dependence Nathan Seiberg and Stephen Shenker Department of Physics and Astronomy Rutgers University, Piscataway, NJ 08855-0849, USA [email protected], [email protected] In general quantum systems there are two kinds of spacetime modes, those that fluctuate and those that do not. Fluctuating modes have normalizable wavefunctions. In the context of 2D gravity and “non-critical” string theory these are called macroscopic states. The theory is independent of the initial Euclidean background values of these modes. Non- fluctuating modes have non-normalizable wavefunctions and correspond to microscopic states. The theory depends on the background value of these non-fluctuating modes, at least to all orders in perturbation theory. They are superselection parameters and should not be minimized over. Such superselection parameters are well known in field theory. Examples in string theory include the couplings tk (including the cosmological constant) arXiv:hep-th/9201017v2 27 Jan 1992 in the matrix models and the mass of the two-dimensional Euclidean black hole. We use our analysis to argue for the finiteness of the string perturbation expansion around these backgrounds. 1/92 Introduction and General Discussion Many of the important questions in string theory circle around the issue of background independence. String theory, as a theory of quantum gravity, should dynamically pick its own spacetime background. We would expect that this choice would be independent of the classical solution around which the theory is initially defined. We may hope that the theory finds a unique ground state which describes our world. We can try to draw lessons that bear on these questions from the exactly solvable matrix models of low dimensional string theory [1][2][3]. -
Title: the Distribution of an Illustrated Timeline Wall Chart and Teacher's Guide of 20Fh Century Physics
REPORT NSF GRANT #PHY-98143318 Title: The Distribution of an Illustrated Timeline Wall Chart and Teacher’s Guide of 20fhCentury Physics DOE Patent Clearance Granted December 26,2000 Principal Investigator, Brian Schwartz, The American Physical Society 1 Physics Ellipse College Park, MD 20740 301-209-3223 [email protected] BACKGROUND The American Physi a1 Society s part of its centennial celebration in March of 1999 decided to develop a timeline wall chart on the history of 20thcentury physics. This resulted in eleven consecutive posters, which when mounted side by side, create a %foot mural. The timeline exhibits and describes the millstones of physics in images and words. The timeline functions as a chronology, a work of art, a permanent open textbook, and a gigantic photo album covering a hundred years in the life of the community of physicists and the existence of the American Physical Society . Each of the eleven posters begins with a brief essay that places a major scientific achievement of the decade in its historical context. Large portraits of the essays’ subjects include youthful photographs of Marie Curie, Albert Einstein, and Richard Feynman among others, to help put a face on science. Below the essays, a total of over 130 individual discoveries and inventions, explained in dated text boxes with accompanying images, form the backbone of the timeline. For ease of comprehension, this wealth of material is organized into five color- coded story lines the stretch horizontally across the hundred years of the 20th century. The five story lines are: Cosmic Scale, relate the story of astrophysics and cosmology; Human Scale, refers to the physics of the more familiar distances from the global to the microscopic; Atomic Scale, focuses on the submicroscopic This report was prepared as an account of work sponsored by an agency of the United States Government. -
Dtra-Appeal.Pdf
FEDERATION OF AMERICAN SCIENTISTS T: 202/546-3300 1717 K Street NW #209 Washington, DC 20036 www.fas.org F: 202/675-1010 [email protected] Board of Sponsors (Partial List) *Sidney Altman December 12, 2003 *Philip W. Anderson *Kenneth J. Arrow (202)454-4691 *Julius Axelrod MG Trudy H. Clark, Deputy Director *David Baltimore *Baruj Benacerraf Defense Threat Reduction Agency *Hans A. Bethe *J. Michael Bishop 8725 John J. Kingman Road *Nicolaas Bloembergen *Norman Borlaug Ft. Belvoir, VA 22060-6201 *Paul Boyer Ann Pitts Carter *Owen Chamberlain Morris Cohen RE: FOIA Appeal, Case No. 03-125 *Stanley Cohen Mildred Cohn *Leon N. Cooper *E. J. Corey *James Cronin Dear General Clark: *Johann Deisenhofer Ann Druyan *Renato Dulbecco John T. Edsall This is an appeal of the initial denial of my request under the Freedom of Paul R. Ehrlich George Field Information Act (FOIA) for a copy of an unclassified DTRA-funded report *Val L. Fitch *Jerome I. Friedman entitled "Lessons from the Anthrax Attacks: Implications for U.S. Bioterrorism John Kenneth Galbraith Preparedness," April 2002. A copy of the December 12, 2003 DTRA denial *Walter Gilbert *Donald Glaser letter is enclosed. *Sheldon L. Glashow Marvin L. Goldberger *Joseph L. Goldstein *Roger C. L. Guillemin I request that you reverse the initial decision and release the requested *Herbert A. Hauptman *Dudley R. Herschbach report, on the following grounds: *Roald Hoffmann John P. Holdren *David H. Hubel *Jerome Karle 1. The cited FOIA exemption 2 (High) is not applicable. In other words, it is *H. Gobind Khorana not true that the requested document, if disclosed, might be used to *Arthur Kornberg *Edwin G. -
July 2007 (Volume 16, Number 7) Entire Issue
July 2007 Volume 16, No. 7 www.aps.org/publications/apsnews APS NEWS Election Preview A PUBLICATION OF THE AMERICAN PHYSICAL SOCIETY • WWW.apS.ORG/PUBLICATIONS/apSNEWS Pages 6-7 Executive Board Resolution Thanks US physics team trains for competition in Iran By Katherine McAlpine Legislators for Support of Science Twenty-four high school stu- The APS Executive Board bill authorizes nearly $60 billion dents comprising the US Phys- has passed a resolution thanking for various programs for FY 2008 ics Olympiad team vied for five House and Senate policy makers through FY 2011. The bill would places on the traveling team at for recently-passed legislation double the NSF budget over five the University of Maryland from that strengthens the science, math years and double the DOE Office May 22nd to June 1st. Those and engineering activities of our of Science budget over 10 years. chosen to travel will compete nation. The House of Representatives this month against teams from “Sustaining and improving the passed five separate authorization all over the world at Isfahan standard of living of American bills, which were then combined University of Technology in Is- citizens, achieving energy security into one bill, H.R. 2272, the 21st fahan, Iran. and environmental sustainability, Century Competitiveness Act of Over 3,100 US Physics Team providing the jobs of tomorrow 2007. The bill would put the NSF hopefuls took the preliminary and defending our nation against budget and the NIST Scientific examination in January, and 200 aggressors all require federal in- and Technical Research and Ser- were given a second exam in vestments in science education vices budget on track to double in March to determine the top 24 and research… The Board con- 10 years.