3. Postdoctoral Program - MSRI

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REPORT FROM MENTOR June 2010 -------- Original Message -------- Subject: Re: MSRI NSF postdoc yearly report Date: Thu, 17 Jun 2010 12:48:49 -0400 (EDT) From: Niky Kamran To: Hélène Barcelo CC: Abraham Smith It is a great pleasure to submit the following yearly report on Abe Smith's MSRI NSF post-doc. In his report, Abe has given a very clear account of his research activities during the year he spent at McGill. I would like to add that the paper based on his thesis, which has been submitted to Communications in Analysis and Geometry, is a superb piece of work, which takes the whole field of integrable systems of hydrodynamic type, pioneered by Novikov (and most notably developed by his student Ferapontov) onto an altogether higher plane by giving it a formulation which goes to the essence of the geometric content of integrability, and by the systematic introduction of the powerful tools provided by the theory of exterior differential systems and the method of equivalence. This has made it possible for Abe to obtain very fine classification results which would be otherwise out of reach by direct methods. I would also like to add that the project that Abe is currently working on is absolutely first-rate, and that it holds in my opinion one of the keys that will unlock the mysteries associated to the rarity of the integrability property for reasonably non-degenerate non-linear PDEs in a higher number of independent variables. I have no doubt that Abe will succeed in this endeavor. This is work that will have a long shelf life, and that will be a landmark in the evolution of the field. I would like to conclude this report by expressing my admiration for Abe as a young mathematician and colleague. During the weekly meetings we have had over the past academic year, I have had ample opportunity to appreciate Abe's approach to research and his way of thinking about mathematics. He has the maturity, balance and capacity to go to the essential elements of a problem that one normally only encounters with established mathematicians who have been successful researchers for many years. Abe is also a model young colleague, interested in the work of his fellow post-docs and of the graduate students, always willing and ready to offer his help and advice. In many ways, he is already mentoring others. This is admirable. With the presence of Francis Valiquette, a student of Peter Olver who is here on an NSERC post-doc, and the arrival of Nabil Khaouadji, a student of Frederic Helein, who will be coming as a CRM-ISM post-doc, I am very hopeful that Abe will continue to find a stimulating mathematical environment here at McGill, that will enable him to attain his research objectives and continue on the successful academic career that I see ahead of him. For my part, I am delighted that Abe is here with us and I would like to thank the MSRI and the NSF for having made it possible for Abe to come to McGill as a post
doctoral Fellow. Sincerely, Niky Kamran.
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Final Report, 2005-2010 and Annual
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6. Appendix - Final Reports .......
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• Spring 2008: Representation The
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place the highest value on the oppo
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which establishes the relation betw
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Public Understanding of Mathematics
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1.3 Scientific Programs and their A
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The first week of May 2010 coincide
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The goal of this program was, throu
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"An illustration of the tropical Ab
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• lead to new breakthroughs in th
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Other mathematical breakthroughs th
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• Advice on preparing for intervi
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An off-site workshop partially fund
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1.7 Other Scientific Workshops Hot
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experienced circle leaders. Togethe
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2. Program and Workshop Data 2.1 Pr
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Jöricke Burglind Institut des Haut
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Smith Ivan Centre for Mathematical
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Home Institution Classified by Stat
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2.4 Workshop Participant List (See
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2.7 Program Publication List Last N
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Ghiggini Paolo Sutures and contact
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Lekili Yanki Geometric composition
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Draisma Jan The tropical projective
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Krasner Daniel Patterns in sl(2)-li
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Sarkar Sucharit Murasugi sums Matt
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Falk Michael Feichtner Eva Tropical
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Manolescu Ciprian Manolescu Ciprian
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Steingrimsson Einar Steingrimsson E
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Here are additional details on the
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Kutluhan, Cagatay Lekili, Yanki Cag
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Savelyev, Yakov Vertesi, Vera Yakov
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Katz, Eric Lopez de Medrano, Lucia
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Grigsby, Elisenda Kutluhan, Cagatay
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Sazdanovic, Radmila Wehrli, Stephan
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Angeltveit, Vigleik Crofts, Scott H
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3.2 Postdoctoral Fellow Placement L
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3.4 Postdoctoral Fellow Demographic
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Home Institution Classified by Coun
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SGS 1: IAS/PCMI Summer Workshop: Th
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Jafarov, Elchin University of Alask
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Xie, Yu Purdue University Graduate
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4.3 Program Associates Program Asso
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P r o g r a m A s s o c i a t e s D
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Home Institution Classified by Coun
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5. Undergraduate Program (MSRI-UP)
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This project seeks to use elliptic
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6. Appendix - Final Reports 97
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2 2. Participants The response to o
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4 • Gleb Koshevoy: Bases of tropi
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6 While at MSRI, Gathmann extended
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8 In conclusion, my postdoc at MSRI
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10 -with Christian Haase, who staye
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12 “I was working on the relation
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14 Josephine Yu PhD: UC Berkeley, 2
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16 6. Alex Fink was an invited spea
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Tropical Geometry Postdoctoral Fell
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Tropical Geometry Demographic Summa
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Ozsváth-Szabó Heegaard homology t
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field. Nevertheless, some of it is
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developments which occurred in this
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the audience would know a little ab
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Page 162 and 163: California. We talked about several
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Page 166 and 167: on. While his research area is some
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Page 172 and 173: REPORT FROM MENTOR June 2010 Year e
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Page 178 and 179: REPORT FROM MENTOR June 2010 Karl h
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Page 190 and 191: 2 TRISTRAM BOGART and its facets ar
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Page 196 and 197: As his mentor at UCSC, I had freque
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Page 206 and 207: 2 NSF REPORT FOR ERIC KATZ linear s
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Page 214 and 215: Final report: mentoring Sikimeti Ma
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Page 218 and 219: MSRI FINAL REPORT JARED SPECK 1. Ba
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2 Combinatorics, Several Complex Va
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Introductory Workshop: Tropical Geo
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Currently Available Videos � Sam
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Name Institution Hering, Milena Uni
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Introductory Workshop: Tropical Geo
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analysis. The clarity of Payne’s
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Tropical Geometry in Combinatorics
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Name Institution Kharlamov, Viatche
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Tropical Geometry in Combinatorics
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Above satisfactory 35 73% Somewhat
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Tropical structures in geometry and
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Research Workshop: Tropical Structu
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Research Workshop: Tropical Structu
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Algebraic Structures in the Theory
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2 WORKSHOP REPORT toric fibrations,
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Algebraic Structures in the Theory
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Wednesday November 18, 2009 09:00AM
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Participant List MSRI Workshop: Alg
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Name Institution Smith, Ivan Centre
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Research Workshop: Symplectic and C
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Detailed review: We will now discus
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Symplectic and Contact Topology and
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Research Workshop: Symplectic and C
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Final Report MSRI Connections for W
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Connections : Symplectic and Contac
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Currently Available Videos � Siki
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Milin, Isidora University of Illino
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Final Report Introductory Workshop
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at a variety of levels. Since a hig
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Introductory Workshop: Symplectic a
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Participant List MSRI Workshop: Int
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Park, Jongil Seoul National Univers
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Symplectic and Poisson Geometry in
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Symplectic and Poisson Geometry in
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Symplectic Geometry, Noncommutative
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09:00AM - 10:00AM Registration 10:0
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REPORT ON THE MSRI WORKSHOP “HOMO
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of the theory via webs and foams mo
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Schedule Connections for Women: Hom
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Connections for Women: Homology The
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04/29/2010 Connections for Women: H
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REPORT ON THE MSRI WORKSHOP “INTR
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INTRODUCTORY WORKSHOP, FINAL REPORT
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Introductory Workshop: Homology The
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Connections for Women: Homology The
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Research Workshop: Homology Theorie
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2 REPORT ON THE MSRI WORKSHOP “HO
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4 REPORT ON THE MSRI WORKSHOP “HO
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Schedule Research Workshop: Homolog
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Currently Available Videos Research
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Research Workshop: Homology Theorie
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04/29/2010 Research Workshop: Homol
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comprehensive lectures explaining t
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Hot Topics: Black Holes in Relativi
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Currently Available Videos � Miha
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Shao, Shuanglin Institute for Advan
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MATHEMATICAL SCIENCES RESEARCH INST
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MPDI Summer Institute 2009: Final R
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school teachers (in the case of sim
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in length)? The audience would be e
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Evaluation #1 1. What were the bene
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6. Do you have to report to an admi
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your class because your way of teac
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employee with a summary of what you
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what have you learned in this insti
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Evaluation #9 (signed Kelly L.) 1.
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therefore should not be given the j
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would you like them organized? Plea
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Evaluation #11 1. What were the ben
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Evaluation #12 (signed Jake Disston
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ideas are insignificant in light of
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manipulative and pictorial level. F
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Yes.. I would like to talk to 4 - 6
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No, but I have continued to make my
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5. Are you planning to work with co
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(1) change the order of my curricul
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I will show my 6th grade teacher co
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to teaching and planning. Perhaps b
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III - Develop a lesson on similarit
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4. What are you going to implement/
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matics? * How are people teaching t
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Evaluation #23 (I guess this is Cla
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Evaluation #24 1. What were the ben
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2010 Mathematical Sciences Research
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During the 2007-2009 summers, 46 st
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MSRI-UP peers promoted mathematical
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The outcome of all the students’
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school in mathematics.” They prov
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16. Evidence Already Pointing to Lo
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II. Research Projects 1. Your resea
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5. Is there a workshop, discussion
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V. Non-Academic Aspects of MSRI-UP
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MSRI-UP 2010 Calendar, Weeks 1 and
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MSRI-UP 2010 Calendar, Weeks 5 and
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In 1945 Stanislaw Ulam posed a ques
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2.2 Circle Theorem 2. Let r ∈ Q w
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parabola is (a) The parabola and tw
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Proof. For each 1 ≤ i < j ≤ 4 w
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2.5 Non-Concyclic Points on a Parab
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⎛ ⎜ 1 ⎜ 0 ⎜ 0 ⎜ 0 ⎜ 0
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following rational points: n23 = Y1
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Toric Varieties Cox, David Invited
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Toric varieties Held: June 15-26, 2
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the graduate participants to hear a
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This lecture series addressed topic
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Participant List MSRI Workshop: Sym
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Example of a Summer Graduate Worksh
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Random Matrix theory July 6, 2009 t
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Random Matrix Theory Held: July 6 -
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Participant List MSRI Workshop: Ran
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Below is the list of topics conside
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stability estimates for the inverse
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Participant List MSRI Workshop: Inv
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The Arithmetic of L-Functions IAS/P
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ackground material on group represe
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Computational Theory of Real Reduct
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3. Postdoctoral Program - MSRI

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