## MAA Invited Paper Session

### Generations of Monthly Gems

*Wednesday, August 5, 1:00 PM - 3:50 PM, Marriott Wardman Park, Salon 1*

The session is designed to help celebrate the MAA's Centennial. With thousands of papers to draw on, 6 speakers will give 25-minute talks on papers chosen from throughout the Monthly's history. Speakers will highlight the significance of these papers and remark on their impact on mathematics and science in general.

**Scott Chapman**, *Sam Houston State University*

**Dan Velleman**, *Amherst College*

**Bruce Palka**, *National Science Foundation*

**Roger Horn**, *University of Utah*

**John Ewing**, *Math for America*

Click here to see abstracts of the talks in this session

#### 1894 - 1919

*1:00 PM - 1:20 PM*

**Karen Parshall**, *University of Virginia*

#### 1920 - 1939

*1:30 PM - 1:50 PM*

**John Stillwell**, *University of San Francisco*

#### 1940 - 1959

*2:00 PM - 2:20 PM*

**Ron Graham**, *University of California at San Diego*

#### 1960 - 1979

*2:30 PM - 2:50 PM*

**Bob Devaney**, *Boston University*

#### 1980 - 1999

*3:00 PM - 3:20 PM*

**Paul Zorn**, *St. Olaf College*

#### 2000 - 2015

*3:30 PM - 3:50 PM*

**Rebecca Goldin**,* George Mason University*

## MAA Invited Paper Session

### The Non-Traditional "Traditional NSA Mathematician"

*Wednesday, August 5, 1:00 PM - 3:45 PM, Marriott Wardman Park, Delaware B*

The National Security Agency's (NSA) mathematicians create breakthroughs in cryptography and communications security. It is common to associate number theory and discrete mathematics with cryptography. However, problems tackled by NSA mathematicians actually draw upon a much broader variety of fields including statistics, geometry, analysis, topology, graph theory, neuroscience, big data analytics, theoretical computer science, and computational linguistics. As a result, the research community at NSA includes experts in a wide range of mathematics and math-related subjects.

The purpose of this session is to highlight both usual and unusual problems applied to national security, with all talks being at the general non-expert level. NSA mathematicians have produced fascinating and significant results over the years, however much of the work is not published. This session is a great opportunity for the MAA community to be exposed to some of NSA's leading mathematicians and learn about the important role mathematics plays in a variety of problems.

**Carla D. Martin**, *National Security Agency*

Click here to see abstracts of the talks in this session

#### The Coming of Enigma

*1:00 PM - 1:30 PM*

**David Perry**, *National Security Agency*

#### Public Key Cryptography: From Abelian Groups to Yellow Padlocks in 30 Minutes Flat

*1:45 PM - 2:15 PM*

**David Fu**, *National Security Agency*

#### Extending Pairwise Element Similarity to Set Similarity Efficiently

*2:30 PM - 3:00 PM*

**Steve Knox**, *National Security Agency*

#### Teaching Computers to See

*3:15 PM - 3:45 PM*

**Christine Edwards**, *National Security Agency*

## MAA Invited Paper Session

### Improving Access to Mathematical Modeling Research

*Thursday, August 6, 1:00 PM - 4:20 PM, Marriott Wardman Park, Delaware B*

Recently with documents such as the Common Core State Standards, there has been an increasing push for mathematical modeling in every classroom. But the picture of mathematical modeling that applied mathematics researchers have is very different from the word problems provided in textbooks for teachers. This session is dedicated to closing the gap between applied mathematics research, mathematics education research, and what goes on in classrooms around the United States. With an eye to creating environment(s) that support students and teachers in mathematical modeling throughout the united states, at all mathematical and economic levels: How can we improve teacher's and students understanding of modeling research, and improve access to the experience of mathematical modeling research to populations that do not typically receive graduate training in the field?

**Carlos Castillo-Chavez**, *Arizona State University*

**Carlos Castillo-Garsow**, *Eastern Washington University*

Click here to see abstracts of the talks in this session

#### Global Disease Monitoring and Forecasting with Wikipedia

*1:00 PM - 1:25 PM*

**Sara Del Valle**, *Los Alamos National Laboratory*

#### Engaging students in applied mathematics via experiential learning through research

*1:30 PM - 1:55 PM*

**Sherry Towers**, *Arizona State University*

#### Overcoming Epistemic Obstacles to Teaching Mathematical Modeling in Calculus

*2:00 PM - 2:25 PM*

**Patrick Thompson**, *Arizona State University*

#### Mathematical Modeling Experiences in Secondary Schools

*2:30 PM - 2:55 PM*

**Kathleen R. Fowler**, *Clarkson University*

#### Mathematics Education Commentary: At the Interface Between Applied Mathematics and Mathematics Education

*3:00 PM - 3:25 PM*

**Carlos Castillo-Garsow**, *Eastern Washington University*

#### Applied Mathematics Commentary: Math at Top Speed: The Role of Mathematical Modeling in Science and in My Personal Life

*3:30 PM - 4:20 PM*

**Richard Tapia**, *Rice University*

## MAA Invited Paper Session

### Algebraic Structures Motivated by Knot Theory

*Friday, August 7, 9:00 AM - 11:20 AM and 1:00 PM - 5:00 PM, Marriott Wardman Park, Delaware A*

The area of knot theory has been developing rapidly in recent years. Most recent advances rely on the connections between algebra, homological algebra and knot theory. Examples include the Jones polynomial, topological quantum field theories, skein modules of links in 3-manifolds, Khovanov link and Heegard-Floer homologies, homology of distributive structures (i.e. quandles, racks, distributive lattices) and Yang-Baxter operators, as well as categorifications of knot polynomials and other appropriate combinatorial structures. These new developments relate knot theory to other branches of mathematics including number theory, Lie theory, statistical physics, etc, and employ tools far beyond the traditional ones from algebraic topology. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. Moreover, knot theory has numerous results and open problems requiring only knowledge of linear algebra, and are therefore accessible to undergraduates. We propose to bring together students and faculty active in these areas to share them with the broader mathematical community and encourage future collaboration and investigation.

**Alissa Crans**, *Loyola Marymount University*

**Jozef Przytycki**, *George Washington University*

**Radmila Sazdanovic**, *North Carolina State University*

Click here to see abstracts of the talks in this session

#### Knots and Knot Theory

*9:00 AM - 9:40 AM*

**Lou Kauffman**, *University of Illinois at Chicago*

#### Knot Coloring: A Diagrammatic Approach to Algebraic Invariants

*9:50 AM - 10:30 AM*

**Heather Russell**, *Washington College*

#### Topological Symmetries of Molecules

*10:40 AM - 11:20 AM*

**Erica Flapan**, *Pomona College*

#### An Introduction to Quandles

*1:00 PM - 1:40 PM*

**Alissa Crans***, Loyola Marymount University*

#### Enhancements of Counting Invariants

*1:50 PM - 2:30 PM*

**Sam Nelson**, *Claremont McKenna College*

#### An Introduction to Quandle Cohomology

*2:40 PM - 3:20 PM*

**J. Scott Carter, ***University of South Alabama*

#### What is Categorification?

*3:30 PM - 4:10 PM*

**Mikhail Khovanov**, *Columbia University*

#### From Jones to Chebyshev: Adventures in Categorification

*4:20 PM - 5:00 PM*

**Radmila Sazdanovic**, *North Carolina State University*

## MAA Invited Paper Session

### Concrete Computations in Algebra and Algebraic Geometry

*Friday, August 7, 1:00 PM - 3:20 PM, Marriott Wardman Park, Delaware B*

This session will bring together researchers in computational or combinatorial algebra and algebraic geometry whose research is concrete and accessible.

**Sarah Mayes-Tang**, *Quest University*

**Karen Smith**, *University of Michigan*

Click here to see abstracts of the talks in this session

#### Continued Fractions Can Resolve Singularities?!

*1:00 PM - 1:20 PM*

**Robert Walker**, *University of Michigan*

#### The Search for Indecomposable Modules

*1:30 PM - 1:50 PM*

**Courtney Gibbons**, *Hamilton College*

#### The Importance of $$\alpha$$

*2:00 PM - 2:20 PM*

**Mike Janssen**,* Dordt College*

#### Pictures of Syzygies

*2:30 PM - 2:50 PM*

**Timothy Clark**, *Loyola University*

#### When Do 10 Points Lie on a Cubic Curve?

*3:00 PM - 3:20 PM*

**Will Traves**, *US Naval Academy*

## AMS-MAA Invited Paper Session

### The Arithmetic of the Spheres

*Thursday, August 6, 1:00 PM - 3:50 PM, Marriott Wardman Park, Delaware A*

This session deals with topics in number theory, geometry and dynamics related to Farey fractions, circle packings, and dynamical systems where mode locking appears.

**William Abram**, *Hillsdale College*

**Alex Kontorovich**, *Rutgers University*

**Jeffrey Lagarias**, *University of Michigan*

Click here to see abstracts of the talks in this session

#### The Apollonian Structure of Imaginary Quadratic Fields

*1:00 PM - 1:20 PM*

**Katherine Stange**, *University of Colorado Boulder*

#### Circles in the Sand

*1:30 PM - 1:50 PM*

**Lionel Levine**, *Cornell University*

#### Pythagoras Meets Euclid: A Euclidean Algorithm for Pythagorean Triples

*2:00 PM - 2:20 PM*

**Dan Romik**,* **University of California Davis*

#### Dynamics of Apollonian Circle Packings

*2:30 PM - 2:50 PM*

**Elena Fuchs**, *University of Illinois Urbana-Champaign*

#### Variations on Apollonian Circle Packing Rules

*3:00 PM - 3:20 PM*

**Steve Butler**, *Iowa State University*

#### Geometry and Number Theory of Integral Sphere Packings

*3:30 PM - 3:50 PM*

**Kei Nakamura**, *University of California Davis*

## Special Invited Session

### The Geometry of Triangles

*Saturday, August 8, 1:00 PM - 2:50 PM, Marriott Wardman Park, Salon 1*

Richard Guy and John Conway will share their latest ideas about the geometry of Euclidean triangles.

Click here to see abstracts of the talks in this session

#### A Triangle Has Eight Vertices (But Only One Centre)

*1:00 PM - 1:50 PM*

**Richard Guy**, *University of Calgary*

#### New Ideas about the Geometry of Triangles

*2:00 PM - 2:50 PM*

**John Conway**, *Princeton University*

## Special Session

### “Notes of a Native Son”: The Legacy of Dr. Abdulalim A. Shabazz (1927-2014)

*Saturday, August 8, 1:00 PM - 4:50 PM, Marriott Wardman Park, Delaware B*

Dr. Abdulalim A. Shabazz was a distinguished mathematician who is credited for mentoring over half of all African-Americans with a doctorate in Mathematics. “Notes of a Native Son” is a title of a collection of essays by James Baldwin. This title is fitting for a session honoring the life of Dr. Shabazz for three reasons. First, Dr. Shabazz is native to Washington, DC as he spent many years of his life there. Second, this session will feature various speakers whose careers were directly transformed by Dr. Shabazz’s mentorship. Third, this session will also include Dr. Shabazz’s peers who will discuss his active role in the mathematical community.

**Monica Jackson**, *American University*

**Talitha M. Washington**, *Howard University*

Click here to see abstracts of the talks in this session

#### Dr. Abdulalim A. Shabazz—Statistically Significant!

*1:00 PM - 1:20 PM*

**Monica Jackson**, *American University*

#### “In a Beautiful Way”: Lessons for Mathematics Education from Dr. Abdulalim Shabazz

*1:30 PM - 1:50 PM*

**Erica Walker**, *Teachers College, Columbia University*

#### “The Teacher and the Mentor: A Combination that Instills Mathematical Greatness”

*2:00 PM - 2:20 PM*

**Ronald Mickens**, *Clark Atlanta University*

#### More than Equations

*2:30 PM - 2:50 PM*

**Gwendolyn Irby**, *Lockheed Martin*

#### The Impact of Dr. Abdulalim Shabazz on the Business Community

*3:00 PM - 3:20 PM*

**Shree Taylor**, *Delta Decisions of DC*

#### Dr. Abdulalim A. Shabazz: An Example of a Living Topological Isomorphism

*3:30 PM - 3:50 PM*

**Brett Sims**, *Borough of Manhattan Community College*

#### To STEM or Not STEM

*4:00 PM - 4:20 PM*

**Gelonia Dent**, *Medgar Evers College*

#### Sharing the Impacts of Dr. Abdulalim Shabazz

*4:30 PM - 4:50 PM*

**Talitha M. Washington**,* Howard University*