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Advances in the Mathematical Sciences

AWM Research Symposium, Los Angeles, CA, April 2017

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Alyson Deines

    1. Center for Communications Res, San Diego, USA

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  2. Daniela Ferrero

    1. Department of Mathematics, Texas State University, San Marcos, USA

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  3. Erica Graham

    1. Bryn Mawr College, Ardmore, USA

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  4. Mee Seong Im

    1. United States Military Academy, New York, USA

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  5. Carrie Manore

    1. Los Alamos National Laboratory, Los Alamos, USA

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  6. Candice Price

    1. Department of Mathematics, University of San Diego, San Diego, USA

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  • Spans a wide range of research areas, including algebra, combinatorics, differential equations, topology, mathematical biology, scientific computing, and mathematical education
  • Showcases research from women mathematicians working in academia, industry, and government
  • Illustrates key results with numerous detailed and colored images

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 15)

Included in the following conference series:

Conference proceedings info: AWMRS 2017.

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  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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Other volumes

  1. Advances in the Mathematical Sciences

Keywords

About this book

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. 



Editors and Affiliations

  • Center for Communications Res, San Diego, USA

    Alyson Deines

  • Department of Mathematics, Texas State University, San Marcos, USA

    Daniela Ferrero

  • Bryn Mawr College, Ardmore, USA

    Erica Graham

  • United States Military Academy, New York, USA

    Mee Seong Im

  • Los Alamos National Laboratory, Los Alamos, USA

    Carrie Manore

  • Department of Mathematics, University of San Diego, San Diego, USA

    Candice Price

Bibliographic Information

  • Book Title: Advances in the Mathematical Sciences

  • Book Subtitle: AWM Research Symposium, Los Angeles, CA, April 2017

  • Editors: Alyson Deines, Daniela Ferrero, Erica Graham, Mee Seong Im, Carrie Manore, Candice Price

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-319-98684-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) and the Association for Women in Mathematics 2018

  • Hardcover ISBN: 978-3-319-98683-8Published: 01 November 2018

  • Softcover ISBN: 978-3-030-07520-0Published: 26 January 2019

  • eBook ISBN: 978-3-319-98684-5Published: 31 October 2018

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: XIV, 270

  • Number of Illustrations: 43 b/w illustrations, 57 illustrations in colour

  • Topics: Mathematics, general

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