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.

Structural properties of quotient surfaces of a Hecke group
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Structural properties of quotient surfaces of a Hecke group
We study the properties of the surface , which is a -fold cover of , where is a Hecke group and is an integer greater than . We have slightly different situations for the even and odd values of . For odd values of the surface is a genus surface with a cusp, whereas, for even values it is a genus surface with two cusps. We prove that there exist embedded tori with a hole on , where when is an odd integer and when is even, with boundary geodesics at different heights. These boundary geodesics are the separating geodesics intersecting each other transversally. We also prove that the surface is a hyper-elliptic surface for every integer .

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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.

Regular supercuspidal representations
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Regular supercuspidal representations
We show that, in good residual characteristic, most supercuspidal representations of a tamely ramified reductive -adic group arise from pairs , where is a tame elliptic maximal torus of , and is a character of satisfying a simple root-theoretic property. We then give a new expression for the roots of unity that appear in the Adler-DeBacker-Spice character formula for these supercuspidal representations and use it to show that this formula bears a striking resemblance to the character formula for discrete series representations of real reductive groups. Led by this, we explicitly construct the local Langlands correspondence for these supercuspidal representations and prove stability and endoscopic transfer in the case of toral representations. In large residual characteristic this gives a construction of the local Langlands correspondence for almost all supercuspidal representations of reductive -adic groups.

Stably irrational hypersurfaces of small slopes
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Stably irrational hypersurfaces of small slopes
Let be an uncountable field of characteristic different from two. We show that a very general hypersurface of dimension and degree at least is not stably rational over the algebraic closure of .

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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