Advances in the Mathematical Sciences: AWM Research Symposium, Los Angeles, CA, April 2017

Description

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. Front Matter ....Pages i-xiv Searching for Hyperbolicity (Ruth Charney)....Pages 1-14 Generalized Iterated Wreath Products of Cyclic Groups and Rooted Trees Correspondence (Mee Seong Im, Angela Wu)....Pages 15-28 Generalized Iterated Wreath Products of Symmetric Groups and Generalized Rooted Trees Correspondence (Mee Seong Im, Angela Wu)....Pages 29-46 Conway–Coxeter Friezes and Mutation: A Survey (Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, Gordana Todorov)....Pages 47-68 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 A Characterization of the U( Ω, m) Sets of a Hyperelliptic Curve as Ω and m Vary (Christelle Vincent)....Pages 79-95 A First Step Toward Higher Order Chain Rules in Abelian Functor Calculus (Christina Osborne, Amelia Tebbe)....Pages 97-119 DNA Topology Review (Garrett Jones, Candice Reneé Price)....Pages 121-144 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 Spike-Field Coherence and Firing Rate Profiles of CA1 Interneurons During an Associative Memory Task (Pamela D. Rivière, Lara M. Rangel)....Pages 161-171 Learning-Induced Sequence Reactivation During Sharp-Wave Ripples: A Computational Study (Paola Malerba, Katya Tsimring, Maxim Bazhenov)....Pages 173-204 A DG Method for the Simulation of CO2 Storage in Saline Aquifer (Beatrice Riviere, Xin Yang)....Pages 205-232 Regularization Results for Inhomogeneous Ill-Posed Problems in Banach Space (Beth M. Campbell Hetrick)....Pages 233-244 Research in Collegiate Mathematics Education (Shandy Hauk, Chris Rasmussen, Nicole Engelke Infante, Elise Lockwood, Michelle Zandieh, Stacy Brown et al.)....Pages 245-268 Back Matter ....Pages 269-270