For more information on the published version, visit Mathematical Association of America's (MAA) Website., Richeson, David. A-Tweeting We Will Go: Building a Professional Network with Twitter. MAA Focus 37, no. 3 (2017):...
For more information on the published version, visit MAA's (Mathematical Association of America) Website., Bowen, Jennifer, Mark Kozek, Pamela Pierce, and Jennifer Schaefer. Advice for First-Year Seminar Instructors. In...
Our research experimentally, mathematically, and computationally investigated the singularity that forms at the tip of water droplets freezing on a flat surface (Snoeijer and Brunet, AJP 2012). We designed an apparatus to...
For more information on the published version, visit Science Direct's Website., Several studies have found that students' academic achievement is as much determined by the socioeconomic composition of their school as their own...
Bryant, Sarah N., and Jennifer B. Schaefer. Becoming Successful Proof-Writers Through Peer Review, Journals, and Portfolios. In Beyond Lecture: Resources and Pedagogical Techniques for Enhancing the Teaching of Proof-Writing...
For more information on the published version, visit Mathematical Association of America's Website., This past semester I (Jennifer Schaefer) taught single-variable calculus. Like many of you, I have taught this course numerous...
We discuss connectivity properties of Julia sets of the parameterized Dixon elliptic functions. Our main result is that the connectivity locus of the parameterized Dixon sine function is the exterior of the open unit disc, and...
Published as:Koss, Lorelei. Cantor Julia Sets in a Family of Even Elliptic Functions. Journal of Difference Equations and Applications 16, no. 5-6 (2010): 675-88. For more information on the published version, visit Taylor...
D'Agostino, Susan, Sarah Bryant, Amy Buchmann, Michelle Craddock Guinn, and Leona Harris, eds. A Celebration of the EDGE Program's Impact on the Mathematics Community and Beyond. Cham: Springer, 2019., The Enhancing Diversity...
Just where is the geographic center of the United States? And where is the population center? In this article we describe how to find these and other geographic features of the U.S. The approach we take is appropriate for a...
We argue that Archimedes proved that the ratio of the circumference of a circle to its diameter is a constant independent of the circle and that the circumference constant equals the area constant. He stated neither result...
In this paper we will discuss the orbits of the fixed-point group on the tori of the generalized symmetric spaces of SL2(k) where k is a finite field. Specifically, we will provide a characterization and classification of the...
This paper is concerned with binary quadratic programs (BQPs), which are among the most well-studied classes of nonlinear integer optimization problems because of their wide variety of applications. While a number of different...
Published as: Hawkins, Jane and Lorelei Koss. Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions. Topology and its Applications 152, no. 1 (2005): 107-37. For more information on the published version,...
A lot of research has been spent determining the domination numbers, γ m,n, of grid graphs. But relatively little effort has been given to constructing minimum dominating sets of grid graphs. In this paper, we introduce a...
Timothy Gowers was the 2015 recipient of the Joseph Priestley Award at Dickinson College. On March 26, 2015, Gowers gave a public lecture at the college and received his award. Afterward David Richeson chatted with Gowers...
We consider the subordinate killed Brownian motion process generated by first killing Brownian motion at some boundary point on a smooth bounded domain then subordinating by a Lévy time-clock. For classes of subordinators...
Conventional farming utilizes tools such pesticides, synthetic chemical fertilizers, and herbicides, with the goal of producing large amounts of food on less land and with less labor. While these powerful mechanisms help to...
Lorelei Koss is a professor of Mathematics at Dickinson College. , Koss, Lorelei. Crowdsourcing Solutions in the Online Mathematics Classroom. International Journal of Mathematical Education in Science and Technology 53, no....
Published as:Koss, Lorelei. Differential Equations in Literature, Poetry and Film. Journal of Mathematics and the Arts 9, no. 1-2 (2015): 1-16. For more information on the published version, visit Taylor and Francis's...
Koss, Lorelei. Differential Equations in Music and Dance. Journal of Mathematics and the Arts 10, no. 1-4 (2016): 53-64., For more information on the published version, visit Taylor and Francis's Website., and This is the...
Kokichi Sugihara, a professor of engineering in Japan, has spent decades making objects look and move in seemingly impossible ways. This year Sugihara’s video Ambiguous Optical Illusion received second prize in the Neural...
We study the dynamics of a family of polynomial functions and the relationship to the dynamics of a related entire transcendental family of functions. As the degree of the polynomial approaches infinity, the polynomial...
Published as:Goldsmith, Jeff and Lorelei Koss. Dynamical Properties of the Derivative of the Weierstrass Elliptic Function. Involve 2, no. 3 (2009): 267-88.For more information on the published version, visit Mathematical...
In studying dynamical systems, we often use algebraic tools to determine the dynamical behavior of a given function. However, when working with a transcendental function such as the real Weierstrass elliptic function, ℘, we...
For more information on the published version, visit Mathematical Sciences Publisher's Website., In this paper, we investigate the dynamics of iterating the Weierstrass elliptic functions on vertical real rhombic lattices. The...
Bryant, Sarah, and Jessica Spott. The EDGE Program: 20 Years and Counting. In A Celebration of the EDGE Program's Impact on the Mathematics Community and Beyond, edited by Susan D'Agostino, Sarah Bryant, Amy Buchmann,...
String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities). This activity is beloved because simple counting...
Published as:Hawkins, Jane, Lorelei Koss, and Janina Kotus. Elliptic Functions with Critical Orbits Approaching Infinity. Journal of Difference Equations and Applications, 16, no. 5-6 (2010): 613-30.For more information on...
In this paper, we investigate elliptic functions of the form , where is the Weierstrass elliptic function on a real rhombic lattice. We show that a typical function in this family has a superattracting fixed point at the origin...
Bryant, Sarah, Christina Eubanks-Turner, Charles Moore, Sarah Reznikoff, and Josephine Yu. Equity in Mathematics Education: Five Mathematicians Reflect on the 2018 PCMI Workshop. MAA Focus 38, no. 6 (2018): 16-18....
Published as:Koss, Lorelei. Ergodic and Bernoulli Properties of Analytic Maps of Complex Projective Space. Transactions of the American Mathematical Society 354, no. 6 (2002): 2417-2459. For more information on the published...
We discuss properties of the Julia and Fatou sets of Weierstrass elliptic p functions arising from real lattices. We give sufficient conditions for the Julia sets to be the whole sphere and for the maps to be ergodic, exact,...
Published as:Barnes, Julia and Lorelei Koss. The Ergodic Theory Carnival. Mathematics Magazine, 83, no. 3 (2010): 180-90.For more information on the published version, visit Mathematical Association of America's Website....
For more information on the published version, visit Princeton University Press's Website. Euler's Gem: The Polyhedron Formula and the Birth of Topology was selected to be included in the Princeton Science Library series, a...
This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit New York Journal of Mathematics's Website., Koss, Lorelei. "Examples of...
For more information on the published version, visit Project Euclid's Website. Also see: Addendum to:A Fixed Point Theorem for Bounded Dynamical Systems'' published as:Richeson, David, and Jim Wiseman. Addendum to:A...
In this paper, we characterize and classify the orbits of the fixed-point group on the unipotent elements of the generalized symmetric spaces for inner involutions of SL3(k) and SL4(k) where k is a finite field of odd...
For more information on the published version, visit Taylor and Francis's Website., Francese, Christopher, and David Richeson. The Flaw in Euler's Proof of His Polyhedral Formula. The American Mathematical Monthly 114, no. 4...
A nematocyst is a specialized organelle within cells of jellyfish and other Cnidarians that sting. Nematocysts are also present in some single-celled protists. They contain a barbed venomous thread that accelerates faster than...
Published as:Koss, Lorelei. A Fundamental Dichotomy for Julia Sets of a Family of Elliptic Functions. Proceedings of the American Mathematical Society, 137 no. 11 (2009): 3927-3938. For more information on the published...
Symmetric spaces of Lie groups and Riemannian manifolds have been an area of study since the seminal work of Cartan in the early 19th century with applications to representation theory, geometry, and number theory. Though...
Instructors teaching empirical techniques in managerial economics or economic and business statistics courses often face a dilemma. The typical student in these classes has less mathematical sophistication than those in...