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Table of contents

  1. Front Matter
    Pages i-xiv
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  2. Searching for Hyperbolicity
    Ruth Charney
    Pages 1-14
  3. Generalized Iterated Wreath Products of Cyclic Groups and Rooted Trees Correspondence
    Mee Seong Im, Angela Wu
    Pages 15-28
  4. Generalized Iterated Wreath Products of Symmetric Groups and Generalized Rooted Trees Correspondence
    Mee Seong Im, Angela Wu
    Pages 29-46
  5. Conway–Coxeter Friezes and Mutation: A Survey
    Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, Gordana Todorov
    Pages 47-68
  6. Orbit Decompositions of Unipotent Elements in the Generalized Symmetric Spaces of \(\operatorname {SL}_2(\mathbb {F}_{q})\)
    Catherine Buell, Vicky Klima, Jennifer Schaefer, Carmen Wright, Ellen Ziliak
    Pages 69-77
  7. A Characterization of the U( Ω, m) Sets of a Hyperelliptic Curve as Ω and m Vary
    Christelle Vincent
    Pages 79-95
  8. A First Step Toward Higher Order Chain Rules in Abelian Functor Calculus
    Christina Osborne, Amelia Tebbe
    Pages 97-119
  9. DNA Topology Review
    Garrett Jones, Candice Reneé Price
    Pages 121-144
  10. Structural Identifiability Analysis of a Labeled Oral Minimal Model for Quantifying Hepatic Insulin Resistance
    Jacqueline L. Simens, Melanie Cree-Green, Bryan C. Bergman, Kristen J. Nadeau, Cecilia Diniz Behn
    Pages 145-160
  11. Spike-Field Coherence and Firing Rate Profiles of CA1 Interneurons During an Associative Memory Task
    Pamela D. Rivière, Lara M. Rangel
    Pages 161-171
  12. Learning-Induced Sequence Reactivation During Sharp-Wave Ripples: A Computational Study
    Paola Malerba, Katya Tsimring, Maxim Bazhenov
    Pages 173-204
  13. A DG Method for the Simulation of CO2 Storage in Saline Aquifer
    Beatrice Riviere, Xin Yang
    Pages 205-232
  14. Regularization Results for Inhomogeneous Ill-Posed Problems in Banach Space
    Beth M. Campbell Hetrick
    Pages 233-244
  15. Research in Collegiate Mathematics Education
    Shandy Hauk, Chris Rasmussen, Nicole Engelke Infante, Elise Lockwood, Michelle Zandieh, Stacy Brown et al.
    Pages 245-268
  16. Back Matter
    Pages 269-270
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About these proceedings

Introduction

Featuring research from the 2017 research symposium of the Association for Women in Mathematics, this volume presents recent findings in pure mathematics and a range of advances and novel applications in fields such as engineering, biology, and medicine. Featured topics include geometric group theory, generalized iterated wreath products of cyclic groups and symmetric groups, Conway-Coxeter friezes and mutation, and classroom experiments in teaching collegiate mathematics. A review of DNA topology and a computational study of learning-induced sequence reactivation during sharp-wave ripples are also included in this volume. Numerous illustrations and tables convey key results throughout the book. 

This volume highlights research from women working in academia, industry, and government. It is a helpful resource for researchers and graduate students interested in an overview of the latest research in mathematics. 

Keywords

Shape Analysis Low dimensional Topology Number Theory Math Education Mathematical Biology Homotopy Theory Geometry Association for Women in Mathematics Research Symposium Hyperbolicity generalized iterated wreath products conway-coxeter friezes

Editors and affiliations

  • Alyson Deines
    • 1
  • Daniela Ferrero
    • 2
  • Erica Graham
    • 3
  • Mee Seong Im
    • 4
  • Carrie Manore
    • 5
  • Candice Price
    • 6
  1. 1.Center for Communications ResSan DiegoUSA
  2. 2.Department of MathematicsTexas State UniversitySan MarcosUSA
  3. 3.Bryn Mawr CollegeArdmoreUSA
  4. 4.United States Military AcademyNew YorkUSA
  5. 5.Los Alamos National LaboratoryLos AlamosUSA
  6. 6.Department of MathematicsUniversity of San DiegoSan DiegoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-98684-5
  • Copyright Information The Author(s) and the Association for Women in Mathematics 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-98683-8
  • Online ISBN 978-3-319-98684-5
  • Series Print ISSN 2364-5733
  • Series Online ISSN 2364-5741
  • Buy this book on publisher's site