James Freitag

Graduate Student

MathematicsDepartment

Michigan State University

2930 WoodruffApartment B-8

Lansing MI, 48912

My email address is my last name, followed by a 1 atmsu.edu.

Spring 2006 Classes:

MTH 844 Projects in Industrial Mathematics

MTH 851 Numerical Analysis II

Dow Chemical co-op position

Fall 2005 Classes:

MTH 843 Industrial Mathematics

MTH 880 Combinatorics

MTH 850 Numerical Analysis I

Teaching Assignments:

Fall 2005: MTH 1825 Intermediate Algebra

Here is a current copy of my Resume, which includesa partial list of past classes that I have taken or am currently taking.

Projects and descriptions:

This is a (incomplete) list of projects that I have workedon from the past three years. I have included pdf versions of most of thepapers, although much of the industrial mathematics work is in Word documents.

Math496Report_pdf

This is the final report from a research project donejointly with Seth Case (University of Wisconsin) in the Spring of 2005 at the University of Illinois. This project was supervised byProfessor Bruce Reznick, and presented jointly at the end of the semester. Thegeneral subject was finitely presented groups. Seth and I investigatedCoxeter-like groups. I have noticed that this paper does not included some ofthe drawings that the original did, so some of the discussion will be hard tofollow. Perhaps I can try to remedy this in the near future.

REU, Summer 2004and Fall 2004

These are several versions of papers written during a summer2004 REU and fall 2004 REU at the University of Illinois. Jennifer Mo(Northwestern University) collaborated during thesummer of 2004. Results were presented at the 2004 University of Illinois REU seminarat the end of the summer. The results were presented at the 2004 University of Illinois REU seminarat the end of the summer. Professor Robert Muncaster supervised the summer 2004project and the fall 2004 project. These papers are not intended for generalreading; to someone that was not working on the project, these documents may beincomprehensible, since the there is no introduction to the sorts of notationthat we used. The documents were mostly notes on what we were working on. Muchtypesetting of these was done by Jennifer Mo.

REU_Summer2004_1_pdf

REU_Summer2004_2_pdf

REU_Summer2004_3_pdf

REU_Summer2004_4_pdf

REU_Summer2004_5_pdf

Math 880 Projectpdf

The topic is matroids and coxeter groups. The paperspecifically focuses on how several conditions on the compliments of differentaspects of a matroid affect the structure of that matroid. Specifically,self-dual matroids already appear in the literature, so the primary focus ofthis paper was to investigate the condition “the compliment of every circuit isa circuit.” This is a draft of the paper.

Math 843 Project #1

Project #1 Industrial Mathematics. Collaborators includeGreg Kehrier, Consuelo Davis, and Huong Tran. This is a short project aboutdetermining which line queue selection strategy works  best for various applications. Although thereare some theoretical results, the focus of the project was to make a workingmathematical model. There is a lot of non technical discussion of the problem.

Math 843 Project#2

Project #2 IndustrialMathematics. Greg Kehrier and I collaborated on this project. This is shortproject about cryptography. Specifically, an encryption scheme based oncircular convolution and the discrete Fourier transform was implemented by Gregin Visual Basic and by me in MATLAB. Greg’s implementation turned out to bevery user friendly, and since we asked several Professors MacCluer (MSU) and Wu(MSU) to encrypt messages and send them to us, Greg’s implementation was used primarily.

Michigan StatePolice Statistical Consulting

The project is a statistical analysis on several years ofdata comparing the safety of child restraints and lap and shoulder belts forchildren ages four to eight. The paper is written in an informal andstraightforward style and is largely meant for a non-technical audience. The paper is not yet available to thegeneral public.

Math 843Project #3

The topic is Matroids and their applications. The paper waswritten for an audience not familiar with matroid theory. The applicationdiscussed is transportation and communication systems and the greedy algorithm.This might be a preliminary version of the paper I turned in. I might check onthat pretty soon…

Current Projects:

I am currently working for Dow Chemical in the area of DataMining. I am also doing a MTH 844 project on the same subject.