USA MathStat Graduate Student Seminar 

 Spring 2008


The USA MathStat Graduate Student Seminar this semester will meet on Fridays from 9:05 to 9:55 am in ILB 465. Everyone is welcome to attend.

Date
Speaker
Topic
Jan 25 James Douglass
On the Problem of Partitioning {1,2,...,n} into Subsets having Equal Sums
H. Joseph Straight, Paul Schillo
Proceedings of the American Mathematical Society, Vol. 74, No. 2. (May,1979), pp. 229-231.

In this talk I will follow the proof constructed by Straight and Schillo attempting to solve the problem of partitioning {1,2,...,n} into subsets of equal sum. The proof provides us with a sufficient condition for such subsets to exist. We will then use this result to answer a question regarding the existence of even-regular, path-perfect graphs.
Feb 1 Nhiem Nguyen
A New Applicable Proof of the Euler Circuit Theorem
Alan Tucker
The American Mathematical Monthly, Vol. 83, No. 8 (Oct., 1976), pp. 638-640.

In this note, the author gives an application of this theorem to street-sweeping and, in the process, finds a new proof of the theorem.
Feb 8 Terry Fulford
Connected Sprouts
Lam, T. K.
Amer. Math. Monthly 104 (1997), no. 2, 116--119.
Feb 15 Sarah Gelsinger
Conway’s ZIP Proof
George K. Francis & Jeffrey R. Weeks, December 28, 2000
http://new.math.uiuc.edu/zipproof/

I will discuss a classification of surfaces based on Conway's zip proof.
Feb 22 James Douglass
Pascal Matrices
Alan Edelman and Gilbert Strang
The American Mathematical Monthly, Vol. 111, No. 3 (Mar., 2004), pp. 189-197.

I will provide several proofs concerning a special result of Pascal matrices and their relation to the unique properties of Pascal's triangle.
Feb 29 Nhiem Nguyen
A Curious Nim-Type Game
David Gale
The American Mathematical Monthly Vol. 81, No.8. Oct.,1974, pp.876-879

In this note, the author defines a type of game. He then identifies two cases in which general winning strategies are known. Then, he proves the following theorem: For all m and n the game is a win for P1. Finally, this question, "Is the winning first move unique for all m and n?" is discussed.
Mar 7   Terry Fulford

Mar 14 Spring Break

Mar 21 Sarah Gelsinger
On the Topology of the Singularities of a Sphere Eversion

This is my thesis. I will attempt to explain it to you.
Mar 28 James Douglass
A Simple Fact about Eigenvectors That You Probably Don't Know
Warren P. Johnson
Mathematics Magazine, Vol. 74, No. 3. (Jun., 2001), pp. 227-230.

In this talk I will discuss an interesting yet simple fact concerning eigenvectors that many have never considered.
Apr 4 no seminar  
Apr 11 Nhiem Nguyen
Six Ways to Sum a Series
Dan Kalman
The College Mathematics Journal, Vol. 24, No. 5 (Nov., 1993), pp. 402-421

In this paper the author discusses a single infinite sum, namely, the sum of the squares of the reciprocals of the positive integers. The purpose in this paper is to review several different proofs to this sum a series. However, only 2-3 of the proofs will be discussed at the seminar.
Apr 18 Terry Fulford
 
Apr 25 Sarah Gelsinger
 



Fall 2006  Spring 2007 Fall 2007
MathStat Home  USA Home
This page is maintained by Sarah Gelsinger