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Invited Paper Sessions

The Serious Side of Recreational Mathematics

Friday, August 2, 1:30 p.m. - 3:50 p.m., Duke Energy Convention Center, Room 200


More than a pastime, recreational mathematics runs the gamut from the combinatorial questions to the mathematical structures in the game SET to using juggling to create a proof in number theory. In this invited paper session, experts in recreational math show how starting with a fun puzzle, game, or story can take one on a trip to deep mathematics.

Click here to read abstracts for the talks in this session

Robert Vallin, Lamar University

Sponsor: SIGMAA on Recreational Mathematics


Bingo Paradoxes

1:30 p.m. - 1:50 p.m.
Art Benjamin, Harvey Mudd College

Garden of Eden Partitions for Bulgarian and Austrian Solitaire

2:00 p.m. - 2:20 p.m.
James Sellers, Penn State University

Geometry, Combinatorics and the Game of SET

2:30 p.m. - 2:50 p.m.
Liz McMahon, Lafayette College

Throwing Together a Proof of Worpitzky's Identity

3:00 p.m. - 3:20 p.m.
Steve Butler, Iowa State University

Domino Variations

3:30 p.m. - 3:50 p.m.
Bob Bosch, Oberlin College


Cryptography and the Mathematics Behind It

Thursday, August 1, 1:30 p.m. - 4:00 p.m., Duke Energy Convention Center, Room 205


Modern day society and the security of our voting, banking, and military systems rely on cryptography to ensure privacy and allow secure communication. Important problems in cybersecurity are being solved using number theory, algebraic geometry, and the mathematics of lattices. This session on the mathematics behind cryptography is aimed at a general mathematical audience.

This session will have expository talks aimed at a general mathematical audience and will be suitable for both students and faculty.

Alice Silverberg, University of California, Irvine

Click here to read the abstracts of the talks in this session


Language, Probability, and Cryptography

1:30 p.m. - 1:50 p.m.
Adriana Salerno, Bates College

Inrtoduwtion to Erorr Dwtetcion and Czorrectmon

2:00 p.m. - 2:20 p.m.
Steven J Miller, Williams College

Post-quantum Key Exchange Based on "Learning with Errors" Problems

2:30 p.m. - 2:50 p.m.
Jintai Ding, University of Cincinnati

Public-key Cryptography from Supersingular Elliptic Curve Isogenies

3:00 p.m. - 3:20 p.m.
David Jao, University of Waterloo


3:30 p.m. - 3:50 p.m.
Kumar Murty, University of Toronto


The Mathematics of Uncertainty

Friday, August 2, 10:10 a.m. - 12:00 p.m., Duke Energy Convention Center, Room 200


We encounter uncertainty everywhere, at all levels of consciousness, in all of our endeavors. Even things of which we are certain: the sun rises tomorrow, our existence has a finite time span, are subject to imprecision. How has mathematics helped us understand uncertainty and unpredictability?

In this session we present mathematics that guides decisions under incomplete information or cognitive limitations.

Ami Radunskaya, Pomona College

Click here to read the abstracts of the talks in this session


Crossing the Threshold: The Role of Demographic Stochasticity in the Evolution of Cooperation

10:10 a.m. - 10:30 a.m.
Tom LoFaro, Gustavus Adolphus College

Stochastic Perturbations of the Logistic Map

10:40 a.m. - 11:00 a.m.
Kim Ayers, Pomona College

Logic for Reasoning about Uncertainty Dynamics and Informational Cascades

11:10 a.m. - 11:30 a.m.
Joshua Sack, California State University, Long Beach

Probability As a Tool for Studying Problems in Behavioral Economics

11:40 a.m. - 12:00 p.m.
Aloysius Bathi Kasturiarachi, Kent State University


Equity and Justice in the Context of Inquiry

Thursday, August 1, 1:50 p.m. - 4:20 p.m., Duke Energy Convention Center, Room 200


Inquiry pedagogies offer rich learning experiences that can support under-served populations in collegiate mathematics. However, elements of these environments can alienate exactly the students instructors are hoping to support. So equity and inquiry must be theorized and researched together in order to offer justice for all students. This session brings research agendas into direct conversation for mathematicians and educators.

Brian Katz, Augustana College

SIGMAA on Inquiry-Based Learning (IBL SIGMAA)
SIGMAA on Research in Undergraduate Mathematics Education (SIGMAA on RUME)

Click here to read the abstracts of the talks in this session


Introduction to the Session

1:50 p.m. - 2:00 p.m.
Brian Katz, Augustana College

Inquiry and Equity: Necessary But Not Sufficient

2:00 p.m. - 2:20 p.m.
Sandra Laursen, University of Colorado Boulder

The IBL Experience When Students of Color Are in the Majority

2:30 p.m. - 2:50 p.m.
Robin Wilson and Stacy Brown, California State Polytechnic University, Pomona

Examined Inquiry-Oriented Instructional Moves with an Eye Toward Gender Equity

3:00 p.m. - 3:20 p.m.
Jessica Smith, Florida State University
Christine Andrews-Larson, Florida State University
Daniel L. Reinholz,San Diego State University
Amelia Stone-Johnstone, San Diego State University
Brooke Mullins, Virginia Polytechnic Institute and State University


3:30 p.m. - 3:50 p.m.
Rochelle Gutierrez, University of Illinois

Panel Discussion

4:00 p.m. - 4:20 p.m.


Mathematical Diversity in Mathematical Biology

Friday, August 2, 1:30 p.m. - 5:20 p.m., Duke Energy Convention Center, Room 205


Mathematical biology is grab-bag description for using mathematics to understand biological phenomena. The math used is not restricted to a particular sub-discipline within math, but rather is as diverse as the biological systems themselves. In this session, the 2018 Project NExT’rs will showcase the diversity of mathematics used to better understanding biology. It is geared for an undergraduate audience.

Nicholas A. Battista, The College of New Jersey
Rebecca Everett, Haverford College

Click here to read the abstracts of the talks in this session


Comparing Intervention Strategies for Reducing Clostridium difficile Transmission: An Agent-Based Modeling Study

1:30 p.m. - 1:50 p.m.
Brittany Stephenson, Lewis University

Enhanced Coupling of Cilia Through Cell Rocking

2:00 p.m. - 2:20 p.m.
Forest Mannan, Colorado School of Mines

Parameter Informatics for Nonlinear Models

2:30 p.m. - 2:50 p.m.
Reginald McGee, College of the Holy Cross

Role of Resource Allocation and Transport in Emergence of Cross-feeding in Microbial Consortia

3:00 p.m. - 3:20 p.m.
Diana Schepens, Whitworth University

k-Foldability of RNA

3:30 p.m. - 3:50 p.m.
Garner Cochran, Berry College

Mixing and Pumping by Pairs of Helices in a Viscous Fluid

4:00 p.m. - 4:20 p.m.
Amy Buchmann, University of San Diego

Modeling the Impacts of Disturbances: What Can We Learn about Population Responses and Possible Management Strategies?

4:30 p.m. - 4:50 p.m.
Amy Veprauskas, University of Louisiana at Lafayette

Don’t Be Jelly: Modeling Effective Jet Propulsion

5:00 p.m. - 5:20 p.m.
Nicholas A. Battista, The College of New Jersey


Commutative Algebra

Saturday, August 3, 9:00 a..m. - 11:50 a.m., Duke Energy Convention Center, Room 200


Commutative algebra is a central discipline at the intersection of algebraic geometry, number theory, combinatorics, and so on. Many of the foundations were laid by Emmy Noether. Modern commutative algebra combines techniques from computational symbolic algebra, combinatorics, graph theory, and homological and homotopical algebra. The session will cover many flavors with a broad appeal towards the subject's natural influence.

Irena Swanson, Reed College
Lance Miller, University of Arkansas, Fayetteville

Click here to read the abstracts of the talks in this session


Convergence of Rees Valuations

9:00 a.m. - 9:20 a.m.
Matthew Toeniskoetter, Florida Atlantic University

An Algebraic Condition that Allows Us to Do Intersection Theory

9:30 a.m. - 9:50 a.m.
Patricia Klein, University of Kentucky

On Flavors of Factorization in Commutative Rings with Zero Divisors

10:00 a.m. - 10:20 a.m.
Ranthony A.C. Edmonds, Ohio State University

Direct-sum Decompositions of Modules: The Good, the Bad, and the Ugly (aka Interesting)

10:30 a.m. - 10:50 a.m.
Nicholas Baeth, Franklin and Marshall College

Syzygy - When Submodules Align

11:00 a.m. - 11:20 a.m.
Courtney Gibbons, Hamilton College