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Bulletin of the AMS What can topology tell us about the neural code?
( view abstract )
What can topology tell us about the neural code?
Neuroscience is undergoing a period of rapid experimental progress and expansion. New mathematical tools, previously unknown in the neuroscience community, are now being used to tackle fundamental questions and analyze emerging data sets. Consistent with this trend, the last decade has seen an uptick in the use of topological ideas and methods in neuroscience. In this paper I will survey recent applications of topology in neuroscience, and explain why topology is an especially natural tool for understanding neural codes.


Browse the archive 1891 - 2016.

Featured Publication

Algebra in Action: A Course in Groups, Rings, and Fields by Shahriar ShahriariAlgebra in Action: A Course in Groups, Rings, and Fields
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Aimed at undergraduates who are new to abstract algebra, this text is a readable, student-friendly, and somewhat sophisticated introduction to groups, rings, and fields.

Game Theory, Alive by Anna Karlin and Yuval Peres Game Theory, Alive
Anna Karlin
Yuval Peres
By focusing on theoretical highlights and presenting exciting connections between game theory and other fields, this broad overview emphasizes game theory's real-world applications and mathematical foundations.

It's About Time: Elementary Mathematical Aspects of Relativity by Roger CookeIt's About Time: Elementary Mathematical Aspects of Relativity
Roger Cooke
This book explores a selection of topics from special and general relativity, accompanied by mathematical explanations accessible to those at the intermediate undergraduate level.

Introducing AMS Open Math Notes

A repository of course notes, textbooks, and research expositions in progress, all freely available and ideal for use as teaching and research aids.

AMS on OverleafOverleaf

Contributors to select AMS journals can get a free year of access to Overleaf Pro. Authors can use the official AMS LaTeX templates to write, collaborate, and submit articles, all from within the Overleaf platform.

The Scholarly Kitchen

Image by Kabir Bakie via Wikimedia CommonsThe Future of Authorship
AMS Associate Executive Director Robert Harington discusses the need for academic publishers to understand online communities more fully.  Read more at the Scholarly Kitchen.

Research Journals Spotlight
 
JAMS
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MCOM
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PROC
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BTran
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TRAN
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BProc
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ECGD
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ERT
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