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5 Things About Lori Eckdahl

My husband, Bill, and I live here in Lexington and have a 24 year old daughter, Courtney.  We also have a 9 year old Chocolate Lab, Sammi, who thinks she is 2 and keeps us on our toes.  I am originally from Lexington, but was transplanted to Charlotte in 1981 thanks to IBM.  I returned to Lexington after my freshman year of college in 1989 to spend the summer with my grandmother.  I fell in love with Lexington and didn’t return to North Carolina, and decided to establish my residency before continuing my education.  During that year, I became a mom and had to put my college off for a while. 

Math Club Meeting

Title:  Cyclotomic Factors of the Descent Set Polynomial

Abstract:  The descent set polynomial is defined in terms of the descent set statistics of a permutation and was first introduced by Chebikin, Ehrenborg, Pylyavskyy, and Readdy.  This polynomial was found to have many factors which are cyclotomic polynomials.  In this talk, we will explore why these cyclotomic factors exist, focusing on instances of the 2pth cyclotomic polynomial for a prime p.

 

We will also discuss activities for next semester and talk about organizing practice sessions for the math modeling contest

Date:
-
Location:
745 Patterson Office Tower

Seminar on Algebra and Geometry

Title:  Stress and the Stanley-Reisner Ring

Abstract:  I will discuss some connections between classical stress on bar and joint frameworks, a generalization of stress to simplicial complexes, the Stanley-Reisner ring, and a consequent interpretation of the g-theorem for simplicial polytopes.  

Date:
-
Location:
745 Patterson Office Tower

Applied Math Seminar--Master's Exam

Title:  My preferred proof of the Lefschetz fixed point theorem 

Abstract:   There are many different proofs of the Lefschetz fixed point theorem.  The most familiar approach uses simplicial approximation and is often a first example of the power of simplicial homology.  I'll talk about a very different proof that I find much more useful.  This proof requires more input, but it generalizes easily. 

Date:
-
Location:
145 Patterson Office Tower
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