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User’s guides are written about published or soon-to-be published mathematical research papers, by their authors, in order to provide meta-data and context for the results.  They cover four topics:

Topic 1: Key insights and organizing principles — what is the essence of the paper?
Topic 2: Conceptual metaphors and mental imagery — how should we think about it?
Topic 3: Story of the development — how do you actually get from A to B?
Topic 4: Colloquial summary — how would you explain it to a non-mathematician?

Topics are collaboratively edited and peer-reviewed by the issue’s writers and the Lead Editor, Luke Wolcott.  For more information, visit the About page.  Questions, comments, and contributions are welcome: email luke.wolcott@gmail.com.

CURRENT ISSUE:

Volume 3 (September 2017)

Jon Beardsley, University of Washington (website)
source paper: Relative Thom spectra via operadic Kan extensions (arxiv:1601.04123)
Full Guide          Topic 1         Topic 2          Topic 3         Topic 4

Don Larson, Catholic University of America (website)
source paper: The Adams-Novikov E_2-term for Behrens’ spectrum Q(2) at the prime 3 (arxiv:1407.3423)
Full Guide          Topic 1         Topic 2          Topic 3         Topic 4

Sarah Yeakel, University of Maryland, College Park (website)
source paper: A monoidal model for Goodwillie derivatives (arxiv:1706.06915)
Full Guide          Topic 1         Topic 2          Topic 3         Topic 4

PAST ISSUES:

Volume 2 (September 2016)

Mike Catanzaro, University of Florida (website)
source paper: Dynamics and fluctuations of cellular cycles on CW complexes
joint with Vladimir Y. Chernyak and John R. Klein
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Martin Frankland, Universität Osnabrück (website)
source paper: Completed power operations for Morava E-theory (arxiv:1311.7123)
joint with Tobias Barthel
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Vitaly Lorman, Johns Hopkins University (website)
source paper: Landweber flat real pairs and ER(n)-cohomology (arxiv:1603.06865)
joint with Nitu Kitchloo and W. Stephen Wilson
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Kristen Mazur, Elon University (website)
source paper: An Equivariant Tensor Product on Mackey Functors (arxiv:1508.04062)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Luke Wolcott, University of Southern California (website)
source paper: Variations of the telescope conjecture and Bousfield lattices for localized categories of spectra (arxiv:1307.3351)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Volume 1 (October 2015)

Cary Malkiewich, University of Illinois at Urbana-Champaign (website)
source paper: Coassembly and the K-theory of finite groups (arxiv:1503.06504)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Mona Merling, Johns Hopkins University (website)
source paper: Categorical models for equivariant classifying spaces (arxiv:1201.5178v2)
Full Guide          Topic 1          Topic 2         Topic 3          Topic 4

David White, Denison University (website)
source paper: Monoidal Bousfield localizations and algebras over operads (arxiv:1404.5197)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Luke Wolcott, Lawrence University (website)
source paper: Bousfield lattices of non-Noetherian rings: some quotients and products (arxiv:1301.4485)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4

Carolyn Yarnall, University of Kentucky (website)
source paper: The slices of S^n \wedge H\underline{\mathbb{Z}}  for cyclic p-groups (arxiv:1510.02077)
Full Guide          Topic 1          Topic 2          Topic 3          Topic 4