Clay Mathematics Institute New President

Woodhouse

May 11. The Clay Mathematics Institute announces today that as of June 30, 2012, the office of its president will move from Cambridge, Massachusetts, to Oxford, UK. At that time Professor Nicholas Woodhouse of Oxford University will assume the position of president. He will succeed Professor James Carlson, formerly of the University of Utah. Carlson has held the position of president since 2003, completing two terms as president.

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2012 Clay Research Conference

CRCposter

The 2012 Clay Research Conference will be held June 18-19 (Monday and Tuesday) at Oxford University in Martin Wood Lecture Theatre of the Physics Department, in United Kingdom.

Speakers are Artur Avila, Francis Brown, Stavros Garoufalidis, Jeremy Kahn, Marc Lackenby, Vladimir Markovic and Peter Scholze.

The Clay Research Awards will be presented to: Jeremy Kahn and Vladimir Markovic.

Travel support within the UK is available for the Clay Research Conference. Please contact Julie Feskoe (feskoe (at) claymath.org) to request travel support.

Conference Schedule

2012 Clay Research Awards

Kahn photo

CMI announces the 2012 Clay Research Awards: to Jeremy Kahn (Brown University) and Vladimir Markovic (Caltech) for their work in hyperbolic geometry:
(1) their proof that a closed hyperbolic three manifold has an essential immersed hyperbolic Riemann surface, i.e., the map on fundamental groups is injective.

Markovic photo

(2) their solution of the Ehrenpreis conjecture: that given any two compact hyperbolic Riemann surfaces, there are finite covers of the two surfaces which are arbitrarily close in the Teichmuller metric.


2012 Clay Research Fellows

The Clay Mathematics Institute (CMI) announces the appointment of two Research Fellows, Ivan Corwin and Jack Thorne, for four and five years, respectively.

2012 Research Fellow

Ivan Corwin received his Ph.D. last year from New York University under the direction of Gerard Ben Arous. He received his BA degree from Harvard University. One part of his research has been to compute exact formulas for the statistics of the
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2012 Research Fellow

Mr. Thorne, who has studied at Harvard and Princeton Universities under the direction of Benedict Gross and Richard Taylor, will receive his Ph.D. this year from Harvard.
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2012 Clay Research Scholar

2012 Research Scholar

CMI announces the appointment of Roman Travkin as a Clay Research Scholar, for a period of three years. Mr. Travkin will receive his Ph.D. this year from MIT, where he has been working under the supervision of Roman Bezrukavnikov. Before coming to MIT, Travkin studied at the Independent University of Moscow; prior to that, that he competed in the all-Rusisia mathematical olympiads, receiving first place once and second place twice. In his thesis, Mr. Travkin has proved the "generic part" of the quantum geometric Langlands duality for the group GL(n) over a base field of positive characteristic. He has shown that in this context it is a twisted version of the Fourier-Mukai transform.

Clay Chair at the Institut Henri Poincaré

The Clay Mathematics Institute (CMI, Cambridge, Massachusetts) and the Institut Henri Poincaré (IHP, Paris) have announced at a press conference the establishment of the Poincaré Chair, a postdoctoral position for mathematicians in the early stages of their career. Those named to the chair will hold their position at the Institut Henri Poincaré for a term of six months to one year. The Chair is financed for a period of five years with the Clay Millennium Prize funds for resolution of the Poincaré conjecture. The conjecture was solved in the affirmative by Grigoriy Perelman, for which he was awarded the Millennium Prize in 2010. Dr. Perelman subsequently declined to accept the prize money. In establishing this chair with IHP, CMI aims to provide an exceptional opportunity for mathematicians of great promise to develop their ideas and pursue their research, just as Grigoriy Perelman was afforded such an opportunity by a fellowship at the Miller Institute in 1993-95. A public call for nominations by the Institut Henri Poincaré will be made at a later date.


P vs NP Problem

P vs NP  Problem

If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit (by car), how can one do this without visiting a city twice? If you give me a solution, I can easily check that it is correct. But I cannot so easily (given the methods I know) find a solution.

 

Videos of 2010 Clay Research Conference in Paris


2012 Summer School

2012 Summer School

The 2012 CMI Summer School will be on The Resolution of Singular Algebraic Varieties. It will be held June 3 - 30 at the Obergurgl Center, Tyrolean Alps, Austria.
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Talk by Senior Scholar Xavier Buff

Buff Talk

CMI Senior Scholar Xavier Buff gave a talk on "Prevalence of Chaos" on Thursday, May 3, at ICERM in Providence, RI.





2011 Publications

CMIP/13 Volume

On Certain L-Functions

This volume constitutes the proceedings of a conference, "On certain L-Functions", organized in honor of Freydoon Shahidi. more

CMIP/14 Volume

Grassmann-
ians, Moduli Spaces and Vector Bundles

This collection of cutting-edge articles on vector bundles and related topics originated from a CMI workshop. more ...


CMI Publications

CMI publications are available in PDF form at most six months after they appear in print. They are also available in printed form at the AMS bookstore and with 20% Student Discount.


Euclid's Elements

A new digitized edition of Euclid's Elements, the d'Orville Mansucript at the Bodleian Library, is now available online. The new edition includes an index by proposition and cross-references to Heiberg's Greek text and Heath's translation.


Around Cambridge


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Workshops at CMI

CMI plans to hold four to six small Workshops each year at its offices at One Bow Street, Cambridge, Massachusetts. These will be of three to six days duration. For more information or to make a proposal, please contact Jim Carlson through his executive assistant Alagi Patel (patel at claymath dot org, 617-995-2600).