Advances in the Mathematical Sciences: Research from the 2015 Association for Women in Mathematics Symposium (Association for Women in Mathematics Series, 6)

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 And 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. Bezáková, E. W. Chambers, And K. Fox) --^ Considerations On The Implementation And Use Of Anderson Acceleration On Distributed Memory And Gpu-based Parallel Computers (j. Loffeld & C. S. Woodward). Edited By Gail Letzter, Kristin Lauter, Erin Chambers, Nancy Flournoy, Julia Elisenda Grigsby, Carla Martin, Kathleen Ryan, Konstantina Trivisa. Front Matter....Pages i-xvii Front Matter....Pages 1-1 Floer Field Philosophy....Pages 3-90 Front Matter....Pages 91-91 An Elementary Fact About Unlinked Braid Closures....Pages 93-101 Symmetric Unions Without Cosmetic Crossing Changes....Pages 103-116 The Total Thurston–Bennequin Number of Complete and Complete Bipartite Legendrian Graphs....Pages 117-137 Coverings of Open Books....Pages 139-154 Front Matter....Pages 155-155 Understanding Locomotor Rhythm in the Lamprey Central Pattern Generator....Pages 157-172 Applications of Knot Theory: Using Knot Theory to Unravel Biochemistry Mysteries....Pages 173-186 Metapopulation and Non-proportional Vaccination Models Overview....Pages 187-207 Controlling a Cockroach Infestation....Pages 209-224 The Impact of Violence Interruption on the Diffusion of Violence: A Mathematical Modeling Approach....Pages 225-249 Front Matter....Pages 251-251 Cramér’s Theorem is Atypical....Pages 253-270 Counting and Partition Function Asymptotics for Subordinate Killed Brownian Motion....Pages 271-279 Front Matter....Pages 281-281 A Statistical Change-Point Analysis Approach for Modeling the Ratio of Next Generation Sequencing Reads....Pages 283-300 A Center-Level Approach to Estimating the Effect of Center Characteristics on Center Outcomes....Pages 301-321 False Discovery Rate Based on Extreme Values in High Dimension....Pages 323-337 Front Matter....Pages 339-339 Asymptotic and Oscillatory Behavior of Dynamic Equations on Time Scales....Pages 341-355 Front Matter....Pages 357-357 Using Applications to Motivate the Learning of Differential Equations....Pages 359-370 What Is a Good Question?....Pages 371-375 Front Matter....Pages 377-377 Information Measures of Frequency Distributions with an Application to Labeled Graphs....Pages 379-400 Integrating and Sampling Cuts in Bounded Treewidth Graphs....Pages 401-415 Front Matter....Pages 377-377 Considerations on the Implementation and Use of Anderson Acceleration on Distributed Memory and GPU-based Parallel Computers....Pages 417-436