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 
Publication Timeline
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Most widely held works about
Princeton University
 The Princeton mathematics community in the 1930's : an oralhistory project( Book )
 Oral history interview with John G. Kemeny by John G Kemeny( )
 Princeton & mathematics; a notable record by Virginia Chaplin( Book )
 Oral history interview with John Bardeen by John Bardeen( )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 Oral history interview with William Larkin Duren, Nathan Jacobson, and E.J. McShane by William Larkin Duren( )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 Oral history interview with James Wallace Givens, Leon Henkin, Angus Ellis Taylor, and Abraham Haskel Taub by Wallace Givens( )
 Oral history interview with Robert J. Walker by Robert J Walker( )
 Biographical sketches of some members of the mathematics and physics faculty of Princeton University : by Katherine S Eisenhart( )
 Princeton mathematics community in the 1930s( )
 Reminiscence of Malcolm Robertson by Malcolm Robertson( )
 Oral history interview with R. E. Greenwood by R. E Greenwood( )
 Oral history interview with Albert W. Tucker by Albert W Tucker( )
 Oral history interview with Jack B. Levine by Jack B Levine( )
 Oral history interview with Merrill Flood by Merrill Flood( )
 Oral history interview with Joseph Francis Daly and Churchill Eisenhart by Joseph Francis Daly( )
 Oral history interview with Banesh Hoffmann by Banesh Hoffmann( )
 Donald C. Spencer Papers by D. C Spencer( )
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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 1721, 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
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
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
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
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
2 editions published in 1960 in English and held by 3 WorldCat member libraries worldwide
A bound on the average rank of jinvariant 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 jinvariant 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 2Selmer 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 noncompact 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
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 jinvariant 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 2Selmer 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 noncompact 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 ladic 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 FontaineMazur) should admit geometric liftings, we address a number of Galoistheoretic, automorphic, and motivic variants of the lifting problem
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 ladic 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 FontaineMazur) should admit geometric liftings, we address a number of Galoistheoretic, automorphic, and motivic variants of the lifting problem
Decay of correlations for the RauzyVeechZorich 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
in English and held by 2 WorldCat member libraries worldwide
Statistical research at Princeton University, supported by the Office of Naval Research, 19461956 by
Princeton University(
Book
)
1 edition published in 1956 in English and held by 2 WorldCat member libraries worldwide
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
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
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
NearInvolutions, 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 nearinvolutions 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 2quotients, and that there is no hope for a full Central Limit Theorem
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 nearinvolutions 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 2quotients, 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
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 MagyarSteinWainger 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 MagyarSteinWainger to improve on previously known bounds. Subsequently, we apply these results to ergodic theory and incidence theory
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 MagyarSteinWainger 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 MagyarSteinWainger to improve on previously known bounds. Subsequently, we apply these results to ergodic theory and incidence theory
Spin field equations and YangMills equation by
WeiTong Shu(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
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
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
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
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
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 Jholomorphic curves in X. There are two types of such curves, those that can be divided into two Jholomorphic discs and those that cannot. Moduli spaces of Jholomorphic 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 welldefined theory
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 Jholomorphic curves in X. There are two types of such curves, those that can be divided into two Jholomorphic discs and those that cannot. Moduli spaces of Jholomorphic 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 welldefined theory
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Algebraic topology Buildings Chance China Church, Alonzo, Complexes Differential calculus Differential topology Distance geometry Economics Einstein, Albert, Eisenhart, Luther Pfahler, Games of chance (Mathematics) Game theory Geometry, Modern Graduate students Institute for Advanced Study (Princeton, N.J.) Institute for Advanced Study (Princeton, N.J.).School of Mathematics Kemeny, John G Kodaira, Kunihiko, Lefschetz, Solomon, Logic, Modern Mathematical statisticsStudy and teaching Mathematicians Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Higher) Moore, R. L.(Robert Lee), National Academy of Sciences (U.S.) Princeton (N.J.) Princeton University Princeton University.Department of Mathematics Princeton University.Department of Physics Robertson, H. P.(Howard Percy), Slater, John C.(John Clarke), Solid state physics Stanford University.Department of Mathematics Statistics StatisticsStudy and teaching Topology Trinity College (University of Cambridge) Turing, Alan Mathison, Ulam, Stanislaw M United States Universities and collegesFaculty Van Vleck, J. H.(John Hasbrouck), Veblen, Oswald, Von Neumann, John, Wigner, Eugene Paul, Wilks, S. S.(Samuel Stanley),
Alternative Names
Department of Mathematics of the Princeton University.
Dept. of Mathematics, Princeton University.
Princeton University Dept. of Mathematics
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