Advances in the Mathematical Sciences

1. Front Matter

   Pages i-xvii

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2. From the Plenary Talks

   1. Front Matter

      Pages 1-1

      PDF

   2. Floer Field Philosophy

      • Katrin Wehrheim

      Pages 3-90

3. Low Dimensional Topology

   1. Front Matter

      Pages 91-91

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   2. An Elementary Fact About Unlinked Braid Closures

      • J. Elisenda Grigsby, Stephan M. Wehrli

      Pages 93-101

   3. Symmetric Unions Without Cosmetic Crossing Changes

      • Allison H. Moore

      Pages 103-116

   4. The Total Thurston–Bennequin Number of Complete and Complete Bipartite Legendrian Graphs

      • Danielle O’Donnol, Elena Pavelescu

      Pages 117-137

   5. Coverings of Open Books

      • Tetsuya Ito, Keiko Kawamuro

      Pages 139-154

4. Mathematical Biology

   1. Front Matter

      Pages 155-155

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   2. Understanding Locomotor Rhythm in the Lamprey Central Pattern Generator

      • Nicole Massarelli, Allan Yau, Kathleen Hoffman, Tim Kiemel, Eric Tytell

      Pages 157-172

   3. Applications of Knot Theory: Using Knot Theory to Unravel Biochemistry Mysteries

      • Candice Reneé Price

      Pages 173-186

   4. Metapopulation and Non-proportional Vaccination Models Overview

      • Mayteé Cruz-Aponte

      Pages 187-207

   5. Controlling a Cockroach Infestation

      • Hannah Albert, Amy Buchmann, Laurel Ohm, Ami Radunskaya, Ellen Swanson

      Pages 209-224

   6. The Impact of Violence Interruption on the Diffusion of Violence: A Mathematical Modeling Approach

      • Shari A. Wiley, Michael Z. Levy, Charles C. Branas

      Pages 225-249

5. Probability and Stochastic Processes

   1. Front Matter

      Pages 251-251

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   2. Cramér’s Theorem is Atypical

      • Nina Gantert, Steven Soojin Kim, Kavita Ramanan

      Pages 253-270

   3. Counting and Partition Function Asymptotics for Subordinate Killed Brownian Motion

      • Sarah Bryant

      Pages 271-279

6. Statistics

   1. Front Matter

      Pages 281-281

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   2. A Statistical Change-Point Analysis Approach for Modeling the Ratio of Next Generation Sequencing Reads

      • Jie Chen, Hua Li

      Pages 283-300

   3. A Center-Level Approach to Estimating the Effect of Center Characteristics on Center Outcomes

      • Jennifer Le-Rademacher

      Pages 301-321

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.

• computational topology and geometry
• low-dimensional topology
• mathematical biology
• mathematics education
• partial differential equations
• probability
• statistics
• women in mathematics

• National Security Agency , Fort Meade, USA

  Gail Letzter, Carla Martin

• Microsoft Research, Redmond, USA

  Kristin Lauter

• Department of Mathematics & Comp. Sci., Saint Louis University Department of Mathematics & Comp. Sci., Saint Louis, USA

  Erin Chambers

• Department of Statistics, University of Missouri–Columbia, Columbia, USA

  Nancy Flournoy

• Department of Mathematics , Boston College Department of Mathematics, Chestnut Hill, USA

  Julia Elisenda Grigsby

• Department of Mathematics & Comp. Sci., DeSales University Department of Mathematics & Comp. Sci., Center Valley, USA

  Kathleen Ryan

• Department of Mathematics, University of Maryland Department of Mathematics, College Park, USA

  Konstantina Trivisa

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