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 tilings II: Local isomorphism, hierarchy, and conformal type
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Conformal tilings II: Local isomorphism, hierarchy, and conformal type
This is the second in a series of papers on conformal tilings. The overriding themes here are local isomorphisms, hierarchical structures, and the conformal ``type'' problem. Conformal tilings were introduced by the authors in 1997 with a conformally regular pentagonal tiling of the plane. This and even more intricate hierarchical patterns arise when tilings are repeatedly subdivided. Deploying a notion of expansion complexes, we build two-way infinite combinatorial hierarchies and then study the associated conformal tilings. For certain subdivision rules the combinatorial hierarchical properties are faithfully mirrored in their concrete conformal realizations. Examples illustrate the theory throughout the paper. In particular, we study parabolic conformal hierarchies that display periodicities realized by Möbius transformations, motivating higher level hierarchies that will emerge in the next paper of this series.

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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.

Erratum to ``Bertini irreducibility theorems over finite fields''
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Erratum to ``Bertini irreducibility theorems over finite fields''
We indicate how to correct the proof of Lemma 5.1 in our published article Bertini irreducibility theorems over finite fields, J. Amer. Math. Soc. 29 (2016), no. 1, 81-94. The main results are unchanged.

On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
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On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
Let be a locally finite irreducible affine building of dimension , and let be a discrete group acting cocompactly. The goal of this paper is to address the following question: When is linear? More generally, when does admit a finite-dimensional representation with infinite image over a commutative unital ring? If is the Bruhat-Tits building of a simple algebraic group over a local field and if is an arithmetic lattice, then is clearly linear. We prove that if is of type , then the converse holds. In particular, cocompact lattices in exotic -buildings are nonlinear. As an application, we obtain the first infinite family of lattices in exotic -buildings of arbitrarily large thickness, providing a partial answer to a question of W. Kantor from 1986. We also show that if is Bruhat-Tits of arbitrary type, then the linearity of implies that is virtually contained in the linear part of the automorphism group of ; in particular, is an arithmetic lattice. The proofs are based on the machinery of algebraic representations of ergodic systems recently developed by U. Bader and A. Furman. The implementation of that tool in the present context requires the geometric construction of a suitable ergodic -space attached to the the building , which we call the singular Cartan flow.

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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