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E-grāmata: Advances in the Mathematical Sciences: Research from the 2015 Association for Women in Mathematics Symposium

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Presenting the latest findings in topics from across the mathematical spectrum, this volume includes results in pure mathematics along with a range of new advances and novel applications to other fields such as probability, statistics, biology, and computer science. All contributions feature authors who attended the Association for Women in Mathematics Research Symposium in 2015: this conference, the third in a series of biennial conferences organized by the Association, attracted over 330 participants and showcased the research of women mathematicians from academia, industry, and government.

Preface.- Floer field philosophy (K. Wehrheim).- An elementary fact about unlinked braid closures (E. Grigsby & S. M. Wehrli).- Symmetric unions without cosmetic crossing changes (A. H. Moore).- The total Thurston-Bennequin number of complete bipartite Legendrian graphs (D. O"Donnol and E. Pavelescu).- Coverings of open books (T. Ito and K. Kawamuro).- Understanding locomotor rhythm in the lamprey central pattern generator (N. Massarelli, A. Yau, K. Hoffman, T. Kiemel and E. Tytell).- Applications of knot theory: using knot theory to unravel biochemistry mysteries (C. R. Price).- Metapopulation and non-proportional vaccination models overview (M. Cruz-Aponte).- Controlling a cockroach infestation (H. Albert, A. Buchmann, L. Ohm, A. Radunskaya, and E. Swanson).- The impact of violence interruption on the diffusion of violence: a mathematical modeling approach (S. A. Wiley, M. Z. Levy, and C. C. Branas).- Cramér"s theorem is atypical (N. Gentert, S. Kim, and K. Ramanan).- Counting a

nd partition function analysis for subordinate killed Brownian motion (S. Bryant).- A statistical change point analysis approach for modeling the ratio of next generation sequencing reads (J. Chen and H. Li).- A center-level approach to estimating the effect of center characteristics on center outcomes (J. Le-Rademacher).- False discovery rate based on extreme values in high dimension (J. Park, D. Park, and J. W. Davis).- Asymptotic and oscillatory behavior of dynamic equations on time scales (R. Higgins).- Using applications to motivate the learning of differential equations (K. M. Bliss & J. M. Libertini).- What is a good question? (B. Servatius).- Information measures of frequency distributions with an application to labeled graphs (C. Joslyn & E. Purvine).- Integrating and sampling cuts in bounded treewidth graphs (I. Bezįkovį, E. W. Chambers, and K. Fox).- Considerations on the implementation and use of Anderson acceleration on distributed memory and GPU-based parallel comput

ers (J. Loffeld & C. S. Woodward).
Part I From the Plenary Talks
Floer Field Philosophy
3(90)
Katrin Wehrheim
Part II Low Dimensional Topology
An Elementary Fact About Unlinked Braid Closures
93(10)
J. Elisenda Grigsby
Stephan M. Wehrli
Symmetric Unions Without Cosmetic Crossing Changes
103(14)
Allison H. Moore
The Total Thurston--Bennequin Number of Complete and Complete Bipartite Legendrian Graphs
117(22)
Danielle O'Donnol
Elena Pavelescu
Coverings of Open Books
139(18)
Tetsuya Ito
Keiko Kawamuro
Part III Mathematical Biology
Understanding Locomotor Rhythm in the Lamprey Central Pattern Generator
157(16)
Nicole Massarelli
Allan Yau
Kathleen Hoffman
Tim Kiemel
Eric Tytell
Applications of Knot Theory: Using Knot Theory to Unravel Biochemistry Mysteries
173(14)
Candice Renee Price
Metapopulation and Non-proportional Vaccination Models Overview
187(22)
Maytee Cruz-Aponte
Controlling a Cockroach Infestation
209(16)
Hannah Albert
Amy Buchmann
Laurel Ohm
Ami Radunskaya
Ellen Swanson
The Impact of Violence Interruption on the Diffusion of Violence: A Mathematical Modeling Approach
225(28)
Shari A. Wiley
Michael Z. Levy
Charles C. Branas
Part IV Probability and Stochastic Processes
Cramer's Theorem is Atypical
253(18)
Nina Gantert
Steven Soojin Kim
Kavita Ramanan
Counting and Partition Function Asymptotics for Subordinate Killed Brownian Motion
271(12)
Sarah Bryant
Part V Statistics
A Statistical Change-Point Analysis Approach for Modeling the Ratio of Next Generation Sequencing Reads
283(18)
Jie Chen
Hua Li
A Center-Level Approach to Estimating the Effect of Center Characteristics on Center Outcomes
301(22)
Jennifer Le-Rademacher
False Discovery Rate Based on Extreme Values in High Dimension
323(18)
Junyong Park
DoHwan Park
J. Wade Davis
Part VI Differential Equations
Asymptotic and Oscillatory Behavior of Dynamic Equations on Time Scales
341(18)
Raegan Higgins
Part VII Sharing the Joy: Engaging Undergraduate Students in Mathematics
Using Applications to Motivate the Learning of Differential Equations
359(12)
Karen M. Bliss
Jessica M. Libertini
What Is a Good Question?
371(8)
Brigitte Servatius
Part VIII Discrete Math and Theoretical Computer Science
Information Measures of Frequency Distributions with an Application to Labeled Graphs
379(22)
Cliff Joslyn
Emilie Purvine
Integrating and Sampling Cuts in Bounded Treewidth Graphs
401(16)
Ivona Bezakova
Erin W. Chambers
Kyle Fox
Considerations on the Implementation and Use of Anderson Acceleration on Distributed Memory and GPU-based Parallel Computers
417
John Loffeld
Carol S. Woodward