3. Postdoctoral Program - MSRI

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Symplectic and Contact Geometry and Topology Demographic Summary Gender # % (No Decl.)* % No. of Distinct Members 94 100.0% Male 72 77.42% 76.6% Female 21 22.58% 22.3% Decline to State Gender 1 1.1% Ethnicities # % (No Decl.)* % Native American 0 0.00% 0.0% Asian 11 12.79% 11.7% Black 0 0.00% 0.0% Hispanic 0 0.00% 0.0% Pacific 1 1.16% 1.1% White 74 86.05% 78.7% Decline to State Ethnicities 8 8.5% Unavailable Information 0 0.0% No. of Distinct Members 94 100.0% Minorities 1 2.1% Citizenships # % US Citizen & Perm. Residents 47 50.0% Foreign 47 50.0% Unavailable information 0 0.0% No. of Distinct Members 94 100.0% US Citizen 33 35.1% Perm Residents 14 14.9% Home Inst. in US 56 59.57% Year of Ph.D # % 2010 & Later (Graduate Students) 11 11.7% 2009 11 11.7% 2004-2008 15 16.0% 1999-2003 20 21.3% 1994-1998 12 12.8% 1989-1993 10 10.6% 1984-1988 7 7.4% 1981-1983 0 0.0% 1980 & Earlier 8 8.5% Unavailable Info. 0 0.0% Total 94 100.0% Male Female Decline to State Gender Native American Asian Black Hispanic Pacific White Decline to State Ethnicities Unavailable Information US Citizen & Perm. Residents Foreign Unavailable information 2010 & Later (Graduate Students) 2009 2004-2008 1999-2003 1994-1998 1989-1993 1984-1988 1981-1983 1980 & Earlier Unavailable Info.
REPORT ON THE <strong>MSRI</strong> WORKSHOP “HOMOLOGY THEORIES OF KNOTS AND LINKS” Organizers • Mikhail Khovanov (Columbia University) • Peter Ozsváth (Columbia University) • Lev Rozansky (UNC) • Zoltán Szabó (Princeton University) • Dylan Thurston (Columbia University/Barnard) 1. Scientific description Link homology is a new source tools for studying low-dimensional phenomena. Although its goal is to explore the topology of familiar low-dimensional objects – knots, links, and indeed three- and four-manifolds – this rapidly-developing subject draws on many seemingly unrelated branches of mathematics. The field is driven primarily by three currents in mathematics: representation theory, gauge theory, and symplectic geometry. These three currents have lead, respectively, to Khovanov homology and other “categorifications”; forms of gauge-theoretic Floer homology including instanton Floer homology (using anti-self-dual connections), and more recently Floer homology for Seiberg-Witten monopoles; and finally, Heegaard Floer homology, along with its other variants for knots, links, and sutured manifolds. This new discipline is at a critical moment in its development. Categorification has seen a broad expansion as a subject. It is now solidly linked to homological algebra of rings and differential graded rings. Relations have been found between link homology and algebraic geometry, including derived categories of sheaves on suitable quiver varieties and convolution varieties in affine Grassmannians. A more direct connection between categorification and the Langlands program is likely to be found in the near future. Various calculational techniques have rendered aspects of Heegaard Floer homology to be combinatorially describable (a goal which has so far eluded its gauge-theoretic predecessors). Various relationships have been discovered relating categorifications with their more geometrically-defined cousins (typically formulated as spectral sequence from categorified invariants to gauge-theoretic or symplectically defined invariants). Finally, continuing the thread unifying gauge theory and symplectic geometry initiated by Taubes (in his proof that Seiberg-Witten invariants count certain Gromov invariants), the close relationship between Heegaard Floer homology and Seiberg-Witten theory is well on its way from being a conjecture to a theorem. In addition to these various exciting developments within the subject of link homology, 1
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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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Page 112 and 113: 10 -with Christian Haase, who staye
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Page 182 and 183: REPORT FROM MENTOR June 2010 ------
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MSRI FELLOWSHIP FINAL REPORT SCOTT
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As his mentor at UCSC, I had freque
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- UC Davis Combinatorics Seminar -
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Christopher J. Hillar University of
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G. Isely, C. Hillar, and F. Sommer,
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Postdoc Report for: Dr. Christopher
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2 NSF REPORT FOR ERIC KATZ linear s
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Year-End Report 2010-11 NSF Math In
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Jan. 25 - 28, 2011 Recruitment Visi
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MSRI POSTDOCTORAL FELLOWSHIP REPORT
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Final report: mentoring Sikimeti Ma
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eginning of the Fall semester, and
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MSRI FINAL REPORT JARED SPECK 1. Ba
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External Postdoctoral Fellows 2009-
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External Postdoctoral Fellows 2009-
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2 connections to geometry, topology
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Connections for Women: Tropical Geo
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Participant List MSRI Workshop: Con
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Connections for Women: Tropical Geo
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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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