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Princeton University Department of Mathematics

Overview
Works: 168 works in 175 publications in 1 language and 206 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
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 Claude Berge( Book )

1 edition published in 1957 in English and held by 5 WorldCat member libraries worldwide

Contributions to the theory of games( Book )

1 edition published in 1959 in English and held by 5 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

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( )

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

in English and held by 2 WorldCat member libraries worldwide

Statistical research at Princeton University, supported by the Office of Naval Research, 1946-1956 by Princeton University( Book )

1 edition published in 1956 in English and held by 2 WorldCat member libraries worldwide

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
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

Stable envelopes, introduced by Maulik and Okounkov, form a basis for the equivariant cohomology of symplectic resolutions. We study the case of Nakajima quiver varieties, where the resolution is a hyperkahler quotient. We relate the stable basis to that of the associated quotient by a maximal torus, and obtain a formula for the transition between the stable basis and the fixed point basis, using the root system and combinatorial data from the torus quotient
Near-Involutions, the Pillowcase Distribution, and Quadratic Differentials by Rodolfo Antonio Rios Zertuche Rios Zertuche( Book )

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

In the context of A. Eskin and A. Okounkov's approach to the calculation of the volumes of the different strata of the moduli space of quadratic differentials, two objects have a prominent role. Namely, the characters of near-involutions and the pillowcase weights. For the former we give a fairly explicit formula. On the other hand, the pillowcase weights induce a distribution on the space of Young diagrams. We analyze this distribution and prove several facts, including that its limit shape corresponds to the one induced by the uniform distribution, that the probability concentrates on the set of partitions with very similar 2-quotients, and that there is no hope for a full Central Limit Theorem
Structural stability of mappings by John Mather( Book )

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

Arithmetic analogues in harmonic analysis: Results related to Waring's problem by Kevin J., Jr Hughes( Book )

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

This thesis establishes results on arithmetic maximal functions. In the continuous setting, these maximal functions go back to the 1976 work of E. Stein on the spherical maximal function. The arithmetic analogue, the discrete spherical maximal function is much newer, being initially investigated by A. Magyar in 1997. These results build on the work of Magyar and Magyar-Stein-Wainger on the discrete spherical maximal function to study arithmetic maximal functions on the hypersurfaces arising in Waring's problem. We conjecture the sharp results and combine the recent progress By T. Wooley on Waring's problem with the methods of Magyar and Magyar-Stein-Wainger to improve on previously known bounds. Subsequently, we apply these results to ergodic theory and incidence theory
Spin field equations and Yang-Mills equation by Wei-Tong Shu( Book )

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

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

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

First, we generalize a result of Chang, Gursky, and Yang to show that under certain geometric conditions, entire solutions of this equation on Rn must necessarily arise via pullback from the sphere under stereographic projection. This "Obata" type theorem provides an alternate proof of a result of Li and Li. However, our approach uses integral estimates which may be more amenable to application on manifolds which are not locally conformally flat
Some free actions of cyclic groups on spheres by John W Milnor( Book )

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

Structural approaches to spin glasses and optimization problems by Luca De Sanctis( Book )

in English and held by 2 WorldCat member libraries worldwide

A crystalline approximation theorem for hypersurfaces by John Matthew Sullivan( Book )

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

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
 
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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 of the Princeton University.

Dept. of Mathematics, Princeton University.

Princeton University Dept. of Mathematics

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English (47)

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