Bard Events Calendar

Mathematics Program Presents

Thursday, April 13, 2017

Integer Splines on Graphs

Hegeman 308
4:45 pm

Lauren Rose, Mathematics Program

Splines are piecewise polynomial functions that are often used to approximate complicated functions. They arise in various branches of applied mathematics, computer science and engineering. Applications include computer graphics and computer modeling, airplane design, and approximating solutions to partial differential equations. More recently, splines have been studied for their algebraic properties, and their defining equations have been generalized to arbitrary rings.

In this talk, I will describe Integer Splines on a graph, where both the edges and vertices of the graph are labeled with integers. The vertex labeling is called a spline if the difference between vertex labels is divisible by the corresponding edge label. I will report on recent work with Bard students, and open problems for the future.

Prerequisites: Familiarity with Linear Algebra and modular arithmetic is helpful, but not required.

For more information, call 845-758-7104, or e-mail

Time: 4:45 pm

Location: Hegeman 308