《数学年鉴》由普林斯顿大学数学系与高等研究院合作出版双月刊。该杂志由弗吉尼亚大学的奥蒙德·斯通于 1884 年创办，1899 年转入哈佛大学，1911 年转入普林斯顿大学。自 1933 年以来，《年鉴》由普林斯顿大学和高等研究院联合编辑。

The Annals of Mathematics is a bi-monthly journal published in collaboration between the Department of Mathematics at Princeton University and the Institute for Advanced Study. Founded by Ormond Stone at the University of Virginia in 1884, it moved to Harvard University in 1899 and then to Princeton University in 1911. Since 1933, the journal has been jointly edited by Princeton University and the Institute for Advanced Study.

《Annals of Mathematics》是由普林斯顿大学数学系与高等研究院合作出版的双月刊。该杂志由弗吉尼亚大学的奥蒙德·斯通于1884年创办，1899年转入哈佛大学，1911年转入普林斯顿大学。自1933年以来，《Annals of Mathematics》由普林斯顿大学和高等研究院联合编辑。

Annals of Mathematics

The present article is concerned with the distribution of the latent roots (characteristic values) of certain sets of real symmetric matrices of very high dimensionality. Its purpose is to point out that the distribution law obtained before' for a very special set of matrices is valid for much more general sets. The dimension of the matrices will be denoted by N, the matrix elements by via. These are real. The condition of symmetry is

Eugene P. Wigner

On the Distribution of the Roots of Certain Symmetric Matrices

关于某些对称矩阵根的分布

This paper establishes a defect relation for algebraically nondegenerate holomorphic mappings into an arbitrary nonsingular complex projective variety V (rather than just the projective space) intersecting possible nonlinear hypersurfaces, extending the result of H. Cartan.

Min Ru

Holomorphic curves into algebraic varieties

代数簇上的全纯曲线

It is proved that 
lim inf n?8 (p n+1 -p n )<7×10 7 , where p n is the n -th prime. 
Our method is a refinement of the recent work of Goldston, Pintz and Yildirim on the small gaps between consecutive primes. A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov theorem that is applicable when the moduli are free from large prime divisors only, but it is adequate for our purpose

Yitang Zhang

Bounded gaps between primes

素数间的有界间隔

We prove that in a closed manifold of dimension between $3$ and $7$ with a bumpy metric, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov, Guth, Marques-Neves, are two-sided and have multiplicity one. This confirms a conjecture by Marques-Neves. We prove that in a bumpy metric each volume spectrum is realized by the min-max value of certain relative homotopy class of sweepouts of boundaries of Caccioppoli sets. The main result follows by approximating such min-max value using the min-max theory for hypersurfaces with prescribed mean curvature established by the author with Zhu.

Xin Zhou

On the Multiplicity One Conjecture in min-max theory

关于极小极大理论中的多重性一猜想

For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincaré pairing.In the case of simple ordinary flops, this correspondence preserves the big quantum cohomology ring after an analytic continuation over the extended Kähler moduli space.For Mukai flops, it is shown that the birational map for the local models is deformation equivalent to isomorphisms.This implies that the birational map induces isomorphisms on the full quantum theory and all the quantum corrections attached to the extremal ray vanish.

Yuan-Pin Lee

Hui-Wen Lin

Chin-Lung Wang

Flops, motives, and invariance of quantum rings

量子环的浮点运算、动机与不变性

Alexander Dunn

Maksym Radziwiłł

Bias in cubic Gauss sums: Patterson's conjecture

三次高斯和中的偏差：Patterson猜想

Matthew Kwan

Ashwin Sah

Mehtaab Sawhney

Michael Simkin

High-girth Steiner triple systems

高围长斯坦纳三元系

Yuanqing Cai

Solomon Friedberg

Eyal Kaplan

Doubling constructions: Global functoriality for non-generic cuspidal representations

Abbreviation	Ann. Math.
Journal Impact	5.67
Quartiles(Global)	MATHEMATICS(Q1)

ISSN	0003-486X, 1939-8980
h-index	137
Top Journals	Yes

Publication Information	Publisher: Department of Mathematics at Princeton University，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1996，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 0.00%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：较难

Annals of Mathematics

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