AMS peer-reviewed journals are of the highest quality in mathematical research. Our journals have been published since 1891 and cover a broad range of mathematics. Each journal is managed by editors who are prominent in their fields, and each is unique in its offering of articles, book reviews, and reports. In addition to publishing and distributing printed journals, the AMS offers searchable electronic versions that are available prior to the print versions. When the journal is available in electronic format, the electronic version is considered the version of record. Get information on how to subscribe to our journals or browse our current subscription rates.
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All articles submitted to journals published by the AMS are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are.
Conformal Geometry and Dynamics provides a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. These include complex dynamics--and real dynamics using complex techniques--Kleinian groups, hyperbolic geometry, Teichmüller theory, and quasiconformal mappings. The journal seeks high quality original papers of both a research and an expository nature. Research in these subjects has been very lively, and the interplay between individual areas has enriched them all. Color graphics are encouraged. Conformal Geometry is a fully open access journal freely available to all readers and with no publishing fees for authors. Published in electronic format only.Bilipschitz equivalence of trees and hyperbolic fillings
( view abstract )Bilipschitz equivalence of trees and hyperbolic fillings
We show that quasi-isometries between uniformly discrete bounded geometry spaces that satisfy linear isoperimetric inequalities are within bounded distance to bilipschitz equivalences. We apply this result to regularly branching trees and hyperbolic fillings of compact, Ahlfors regular metric spaces.
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Journal of the AMS is devoted to research articles of the highest quality in all areas of pure and applied mathematics. Published quarterly in both print and electronic formats.Quantitative null-cobordism
( view abstract )Quantitative null-cobordism
For a given null-cobordant Riemannian -manifold, how does the minimal geometric complexity of a null-cobordism depend on the geometric complexity of the manifold? Gromov has conjectured that this dependence should be linear. We show that it is at most a polynomial whose degree depends on . In the appendix the bound is improved to one that is for every .
This construction relies on another of independent interest. Take and to be sufficiently nice compact metric spaces, such as Riemannian manifolds or simplicial complexes. Suppose is simply connected and rationally homotopy equivalent to a product of Eilenberg-MacLane spaces, for example, any simply connected Lie group. Then two homotopic -Lipschitz maps are homotopic via a -Lipschitz homotopy. We present a counterexample to show that this is not true for larger classes of spaces .
Quasimodularity and large genus limits of Siegel-Veech constants
( view abstract )Quasimodularity and large genus limits of Siegel-Veech constants
Quasimodular forms were first studied systematically in the context of counting torus coverings. Here we show that a weighted version of these coverings with Siegel-Veech weights also provides quasimodular forms. We apply this to prove conjectures of Eskin and Zorich on the large genus limits of Masur-Veech volumes and of Siegel-Veech constants.
In Part I we connect the geometric definition of Siegel-Veech constants both with a combinatorial counting problem and with intersection numbers on Hurwitz spaces. We also introduce certain modified Siegel-Veech weights whose generating functions will later be shown to be quasimodular.
Parts II and III are devoted to the study of the (quasi) modular properties of the generating functions arising from weighted counting of torus coverings. These two parts contain little geometry and can be read independently of the rest of the paper. The starting point is the theorem of Bloch and Okounkov saying that certain weighted averages, called -brackets, of shifted symmetric functions on partitions are quasimodular forms. In Part II we give an expression for the growth polynomials (a certain polynomial invariant of quasimodular forms) of these -brackets in terms of Gaussian integrals, and we use this to obtain a closed formula for the generating series of cumulants that is the basis for studying large genus asymptotics. In Part III we show that the even hook-length moments of partitions are shifted symmetric polynomials, and we prove a surprising formula for the -bracket of the product of such a hook-length moment with an arbitrary shifted symmetric polynomial as a linear combination of derivatives of Eisenstein series. This formula gives a quasimodularity statement also for the -nd hook-length moments by an appropriate extrapolation, and this in turn implies the quasimodularity of the Siegel-Veech weighted counting functions.
Finally, in Part IV these results are used to give explicit generating functions for the volumes and Siegel-Veech constants in the case of the principal stratum of abelian differentials. The generating functions have an amusing form in terms of the inversion of a power series (with multiples of Bernoulli numbers as coefficients) that gives the asymptotic expansion of a Hurwitz zeta function. To apply these exact formulas to the Eskin-Zorich conjectures on large genus asymptotics (both for the volume and the Siegel-Veech constant) we provide in a separate appendix a general framework for computing the asymptotics of rapidly divergent power series.
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Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics. Areas covered include numerical analysis, computational discrete mathematics, including number theory, algebra and combinatorics, and related fields such as stochastic numerical methods. Articles must be of significant computational interest and contain original and substantial mathematical analysis or development of computational methodology. Published six times per year in both print and electronic formats.loading...
Memoirs of the AMS is devoted to the publication of research in all areas of pure and applied mathematics. Manuscripts accepted for publication are similar in nature to those published in Transactions of the American Mathematical Society and meet the same editorial requirements. To be accepted by the editorial board, manuscripts must be correct, new, and significant. Furthermore, they must be well written and of interest to a substantial number of mathematicians. Papers appearing in the Memoirs are generally at least 80 and not more than 200 published pages in length. Papers less than 80 or more than 200 published pages require the approval of the Managing Editor of the Transactions/Memoirs Editorial Board.
Each issue contains either a single monograph or a group of related papers. A subscription consists of six mailings, each typically containing four or more numbers. Available in both print and electronic formats. Subscription and single issues.
Proceedings of the AMS is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Furthermore, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the AMS. Published monthly in both print and electronic formats.loading...
Proceedings of the AMS, Series B, is a Gold Open Access electronic-only journal devoted to shorter research articles (not to exceed 15 published pages) in all areas of pure and applied mathematics. To be published in the Proceedings, Series B, a paper must be correct, new, and significant. Furthermore, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the AMS, Series B.Published in electronic format only.
Representation Theory is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. Representation Theory is a fully open access journal freely available to all readers and with no publishing fees for authors. Published in electronic format only.loading...
Published since 1900, Transactions of the AMS is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Furthermore, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the AMS. Published monthly in both print and electronic formats.loading...
Transactions of the AMS, Series B, is a Gold Open Access electronic-only journal devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, Series B, a paper must be correct, new, and significant. Furthermore, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 published pages that meet the above criteria should be submitted to the Proceedings of the AMS, Series B. Published in electronic format only.
Our member journals, Notices of the AMS and Bulletin of the AMS, are the most widely distributed and read high-level mathematics journals in the world. Both are "open access" that is, they are freely available online to all members and non-members alike.
Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only. Published quarterly in both print and electronic formats.loading...
Abstracts is published four times a year and includes the abstracts for the annual winter meeting and the spring and fall sectional meetings. Abstracts of invited hour addresses and papers presented in special sessions or sessions for contributed papers are published. Published in print format only.
The AMS has a long tradition of publishing journals in translation. Sugaku Expositions is the latest addition to our list, and is available in print and electronic formats starting with 2017 issues.
The St. Petersburg Mathematical Journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences. Published in both print and electronic formats.
Theory of Probability and Mathematical Statistics is a cover-to-cover translation into English of Teoriya Imovirnostei ta Matematichna Statistika, published by Kiev University. Published two times per year in both print and electronic formats.
Transactions of the Moscow Mathematical Society, is a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, and contains the results of original research in pure mathematics. The journakl is published once per year in both print and electronic formats.
Sugaku Expositions contains translations into English of expository articles from the journal Sugaku, published by Iwanami Shoten, publishers for the Mathematical Society of Japan. Published biannually, each issue of Sugaku Expositions contains several expository articles that provide highly informative accounts of a variety of current areas of research. Published in both print and electronic formats starting with 2017 issues.
The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume.
The Moscow Mathematical Journal is an international quarterly published by the Independent University of Moscow and the department of mathematics of the Higher School of Economics, and distributed by the American Mathematical Society.
With an Editorial Board comprising some of the best young mathematicians from India, together with worldwide distribution by the AMS, the Journal of the Ramanujan Mathematical Society is of significant interest to a wide spectrum of the mathematical public.
The Astérisque offers six to eight issues a year featuring monographs, renowned seminars, and conference proceedings, including proceedings of the Bourbaki Seminar. Each volume deals with only one subject and articles are chosen for their ability to show a research branch from a new perspective.
The Bulletin de la Société Mathématique de France treats subjects covering the whole of mathematics. The articles, written in French or English, are submitted to an editor who is chosen from among the best international specialists in the area. Articles submitted are original and the results are thoroughly demonstrated.
The Memoires de la Société Mathématique de France is approximately 400 pages in length per year and is divided into 4 numbers. Each number is a monograph or a series of articles on a single subject. The editorial committee has brought this journal to the forefront in scientific quality.
The Journal of Operator Theory is a carefully peer-reviewed journal that endeavours to publish significant articles in all areas of operator theory, operator algebras, and closely related domains. Two volumes are published each year and each volume consists of two issues.
The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology.
Remote Access, is a mechanism by which users can "pair" their various web browsing devices (smartphones, tablets, laptops, desktops) with an institution's network, allows users to access AMS electronic products when not connected to a host institution's network. The AMS permits authorized users (faculty, staff, students, and visiting faculty) to pair mobile devices with a host institution's subscriptions.