Advances in the Mathematical Sciences Research from the 2015 Associa

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 comput

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Gail Letzter · Kristin Lauter Erin Chambers · Nancy Flournoy Julia Elisenda Grigsby · Carla Martin Kathleen Ryan · Konstantina Trivisa Editors

Advances in the Mathematical Sciences Research from the 2015 Association for Women in Mathematics Symposium

Association for Women in Mathematics Series Volume 6

Series editor Kristin Lauter, Redmond, WA, USA

Focusing on the groundbreaking work of women in mathematics past, present, and future, Springer’s Association for Women in Mathematics Series presents the latest research and proceedings of conferences worldwide organized by the Association for Women in Mathematics (AWM). All works are peer-reviewed to meet the highest standards of scientific literature, while presenting topics at the cutting edge of pure and applied mathematics. Since its inception in 1971, The Association for Women in Mathematics has been a non-profit organization designed to help encourage women and girls to study and pursue active careers in mathematics and the mathematical sciences and to promote equal opportunity and equal treatment of women and girls in the mathematical sciences. Currently, the organization represents more than 3000 members and 200 institutions constituting a broad spectrum of the mathematical community in the United States and around the world.

More information about this series at http://www.springer.com/series/13764

Gail Letzter Editor-in-Chief

Kristin Lauter Erin Chambers Nancy Flournoy Julia Elisenda Grigsby Carla Martin Kathleen Ryan Konstantina Trivisa •





Editors

Advances in the Mathematical Sciences Research from the 2015 Association for Women in Mathematics Symposium

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Editor-in-Chief Gail Letzter National Security Agency Fort Meade, MD USA

Julia Elisenda Grigsby Department of Mathematics Boston College Chestnut Hill, MA USA

Editors Kristin Lauter Microsoft Research Redmond, WA USA

Carla Martin National Security Agency Fort Meade, MD USA

Erin Chambers Department of Mathematics and Computer Science Saint Louis University St. Louis, MO USA Nancy Flournoy Department of Statistics University of Missouri-Columbia Columbia, MO USA

Kathleen Ryan Department of Mathematics and Computer Science DeSales University Center Valley, PA USA Konstantina Trivisa Department of Mathematics University of Maryland College Park, MD USA

ISSN 2364-5733 ISSN 2364-5741 (electronic) Association for Women in Mathematics Series ISBN 978-3-319-34137-8 ISBN 978-3-319-34139-2 (eBook) DOI 10.1007/978-3-319-34139-2 Library of Congress Control Number: 2016940319 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of gene