WorldCat Identities

Princeton University Department of Mathematics

Overview
Works: 189 works in 202 publications in 1 language and 281 library holdings
Genres: Conference papers and proceedings 
Classifications: QA1, 510
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Most widely held works about Princeton University
 
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Most widely held works by Princeton University
Convex cones, sets, and functions by W Fenchel( Book )

1 edition published in 1953 in English and held by 44 WorldCat member libraries worldwide

On the development and applications of linear programming in the USSR by G. Sh Rubinshteĭn( Book )

2 editions published in 1960 in English and held by 8 WorldCat member libraries worldwide

Prospects in mathematics : invited talks on the occasion of the 250th anniversary of Princeton University, March 17-21, 1996, Princeton University by Hugo Rossi( Book )

1 edition published in 1999 in English and held by 7 WorldCat member libraries worldwide

In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas
Contributions to the theory of games by Robert J Aumann( Book )

1 edition published in 1959 in English and held by 5 WorldCat member libraries worldwide

Contributions to the theory of games by Claude Berge( Book )

1 edition published in 1957 in English and held by 4 WorldCat member libraries worldwide

Mathematics 108, Introduction to differential calculus by Princeton University( Book )

2 editions published in 1937 in English and held by 4 WorldCat member libraries worldwide

Some free actions of cyclic groups on spheres by John W Milnor( Book )

2 editions published in 1963 in English and held by 3 WorldCat member libraries worldwide

Limits and spectral sequences by Samuel Eilenberg( Book )

2 editions published in 1960 in English and held by 3 WorldCat member libraries worldwide

A bound on the average rank of j-invariant zero elliptic curves by Samuel Ruth( Book )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

In this thesis, we prove that the average rank of j-invariant 0 elliptic curves, when ordered by discriminant, is bounded above by 3. This work follows from work of Bhargava and Shankar relating elements of the 2-Selmer groups of elliptic curves with equivalence classes of certain binary quartic forms. We also count the number of equivalence classes of these binary quartic forms. This step involves counting the number of points on a quadric in a homogenously expanding non-compact region. To count the number of points on this quadric, we use a modified version of the circle method. This work also has an application to the statistics of the class group of certain pure cubic fields
On moduli spaces of real curves in symplectic manifolds by Mohammad Farajzadeh Tehrani( Book )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

Given a symplectic manifold (X, o), an almost complex structure J, and an antisymplectic involution & phis;, we study genus zero real J-holomorphic curves in X. There are two types of such curves, those that can be divided into two J-holomorphic discs and those that cannot. Moduli spaces of J-holomorphic discs are more studied in the literature; in this case, we develop and use some degeneration techniques to add to the previous results and get a better understanding of these moduli spaces. We also study the second case, for which the orientation problem is different and define (and calculate) some invariants using these moduli spaces. As shown in this thesis, these two cases are tied together and often need to be combined to get a fully well-defined theory
Structural approaches to spin glasses and optimization problems by Luca De Sanctis( )

1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide

Variations on a theorem of Tate by Stefan Patrikis( Book )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

Let F be a number field, with absolute Galois group G. For any homomorphism r of G valued in the l-adic points of a linear algebraic group H, we consider lifting problems through covers H' of H with central torus kernel. By a theorem of Tate, elaborated by B. Conrad, any such continuous homomorphism to H lifts to H'. Largely motivated by a question of Conrad, who asked when geometric homomorphisms (in the sense of Fontaine-Mazur) should admit geometric liftings, we address a number of Galois-theoretic, automorphic, and motivic variants of the lifting problem
A crystalline approximation theorem for hypersurfaces by John Matthew Sullivan( )

1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide

Decay of correlations for the Rauzy-Veech-Zorich induction map and the central limit theorem for the Teichmul̈ler geodesic flow by Alexander I Bufetov( )

1 edition published in 2005 in English and held by 2 WorldCat member libraries worldwide

The average rank of elliptic curves over number fields by Arul Shankar( )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

In joint work with Manjul Bhargava, we proved that the average rank of rational elliptic curves, when ordered by their heights, is bounded above by 1.5. This result was accomplished by using Bhargava's geometry-of-numbers methods to obtain asymptotics for the number of GL2( Z )-orbits on integral binary quartic forms having bounded invariants
Quantum Cohomology of Hypertoric Varieties and Geometric Representations of Yangians by Michael Ben McBreen( Book )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

This thesis compares two geometric constructions of a Yangian, due to Varagnolo and Nakajima on the one hand and Maulik and Okounkov on the other. It also, separately, computes the quantum cohomology of smooth hypertoric varieties, and finds a mirror formula for their quantum connection. It contains brief introductions to the background material for both problems
Structural stability of mappings by John Mather( Book )

1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide

Some Results on a Fully Nonlinear Equation in Conformal Geometry by Nicholas William Reichert( Book )

1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide

Second, we study the question of solving sigma k = constant on n-manifolds M, the "sigma k-Yamabe problem", when k = 2 and n = 3. The sigmak-Yamabe problem has been studied for many values of n and k before (by Li and Li, by Guan and Wang, by Gursky and Viaclovsky, by Sheng, Trudinger, and Wang, and by Trudinger and Wang, among others); however, some cases remain open. The case where n <2k is unresolved in general. A perhaps more natural question to consider in this case is solving v2k = constant, for n <2k, where v2k are the renormalized volume coefficients studied by Graham and by Chang and Fang. Unfortunately, the approach used for other values of n and k does not apply in this final case-for v 2k, one cannot use the local estimates of Guan and Wang and of Chen. This is because the local estimates use algebraic properties of sigmak which do not hold for v 2k. Though the sigma2-Yamabe problem in dimension 3 has been studied before, we study an alternative approach which avoids the use of the local estimates. We hope this approach may prove useful for resolving the question of solving v2 k = constant
Spin field equations and Yang-Mills equation by Wei-Tong Shu( )

1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide

Abelianization of stable envelopes in symplectic resolutions by Daniel Shenfeld( Book )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

We compute the transition matrix explicitly in the case of cotangent bundles to partial flag varieties, and show that for Grassmannians, it is given by rational Schur polynomials. This recovers in a geometric way the diagonalization of the Hamiltonian in the XXX spin chain. As a second application, we study the case of the Hilbert scheme of points on the plane, and obtain a novel formula expressing Schur polynomials in terms of Jack polynomials
 
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Prospects in mathematics : invited talks on the occasion of the 250th anniversary of Princeton University, March 17-21, 1996, Princeton University
Alternative Names

controlled identityPrinceton University

Department of Mathematics

Department of Mathematics of the Princeton University.

Dept. of Mathematics, Princeton University.

Mathematics Department

Princeton University Dept. of Mathematics

Princeton University Mathematics Department

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English (52)

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