Journals

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.

Conformal mapping, convexity and total absolute curvature
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Conformal mapping, convexity and total absolute curvature
Let be a holomorphic and locally univalent function on the unit disk . Let be the circle centered at the origin of radius , where . We will prove that the total absolute curvature of is an increasing function of . Moreover, we present inequalities involving the -norm of the curvature of . Using the hyperbolic geometry of , we will prove an analogous monotonicity result for the hyperbolic total curvature. In the case where is a hyperbolically convex mapping of into itself, we compare the hyperbolic total curvature of the curves and and show that their ratio is a decreasing function. The last result can also be seen as a geometric version of the classical Schwarz Lemma.

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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.

A proof of the shuffle conjecture
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A proof of the shuffle conjecture
We present a proof of the compositional shuffle conjecture by Haglund, Morse and Zabrocki [Canad. J. Math., 64 (2012), 822-844], which generalizes the famous shuffle conjecture for the character of the diagonal coinvariant algebra by Haglund, Haiman, Loehr, Remmel, and Ulyanov [Duke Math. J., 126 (2005), 195-232]. We first formulate the combinatorial side of the conjecture in terms of certain operators on a graded vector space whose degree zero part is the ring of symmetric functions over . We then extend these operators to an action of an algebra acting on this space, and interpret the right generalization of the using an involution of the algebra which is antilinear with respect to the conjugation .

The coarse geometry of Tsirelson's space and applications
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The coarse geometry of Tsirelson's space and applications
The main result of this article is a rigidity result pertaining to the spreading model structure for Banach spaces coarsely embeddable into Tsirelson's original space . Every Banach space that is coarsely embeddable into must be reflexive, and all of its spreading models must be isomorphic to . Several important consequences follow from our rigidity result. We obtain a coarse version of an influential theorem of Tsirelson: coarsely contains neither nor for . We show that there is no infinite-dimensional Banach space that coarsely embeds into every infinite-dimensional Banach space. In particular, we disprove the conjecture that the separable infinite-dimensional Hilbert space coarsely embeds into every infinite-dimensional Banach space. The rigidity result follows from a new concentration inequality for Lipschitz maps on the infinite Hamming graphs that take values into , and from the embeddability of the infinite Hamming graphs into Banach spaces that admit spreading models not isomorphic to . Also, a purely metric characterization of finite dimensionality is obtained.

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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.

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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.

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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.

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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.

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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.

Electronic Research Announcements was published from 1995 to 2007 in electronic format