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San Diego Site of

Joint Winter Meetings

The AMS/MAA Joint Winter Meetings will take place in San Diego from January 6 through January 9 of 2002. Activities for students and faculty advisors will begin with an opening reception (a first at the winter meetings). Other activities will include the Minority Student Initiative, Faculty Advisors Breakfast, MAA Student Lecture, and Mathematical Experiences for Students Outside of the Classroom. As always, the Student Hospitality Center will provide a place for students to gather and meet new friends. Further information can be found in Whassup in San Diego on page 5 and in the October issue of Focus.

**MathFest 2001:**

**Math in **
**America****'s Dairyland**

Although MathFest 2001 took place in the heart of

What's inside?

*Madison **Menu:*

Student Paper Sessions

MAA Student Lecture

MAA Student Workshop

Student Hospitality Center

Problem Solving Competition

*Whassup in **San Diego**:*

MAA Student Lecture

Minority Student Initiative

Mathematical Experiences Outside the Classroom

*Contact Information *

Madison Menu

**MAA Student
Paper Sessions **

**at MathFest
2001**

On Thursday and Friday, August 2-3, eight MAA Student Paper Sessions were held at the Madison MathFest. Sessions 1-4 were held from 1:00 to 5:00 p.m. on Thursday while sessions 5-8 took place from 1:00 to 5:00 p.m. on Friday.

The program included forty-six talks involving forty-nine students from thirty-two colleges and universities. There were twenty-seven student chapter members, of whom sixteen qualified for travel grants. Three students also spoke at previous MathFests and there were twenty-three students from six REU programs.

Cash awards of $150.00 from the MAA were presented to the following students for outstanding presentations:

**Aliyah Ali** (Rutgers
University and Rutgers
University REU Program): *Graphs and Matrices*

**Eric Katerman** (Williams College
and Williams College REU Program): *Knot
Complements: the Hyperbolic Alter-ego of
Out Twisted Friends*

**Cody Patterson** (Texas A&M
University): *Distinct Element Vectors Over Finite Groups*

**John Meth** (Indiana
University): *Idempotent Cocycles on Cyclic Groups*

**Eva Kashat** and **Daniela Silva** (jointly) (Wayne
State University): *Geometric Applications of a System of
Congruences*

**Ellen Panofsky** (Millersville University): *Geometric Analysis of Distance Minimizing
Paths Crossing the Same Rim of a Circular Can Twice*

**John Bryk **(Williams College
and Williams College
REU Program): *Completions of Unique
Factorization Domains*

**Jarod Alper** (Brown University
and Lafayette College
REU Program): *The Number Theory of the
Composition Algebra*

**Nicholas Leger** (University
of Texas at Austin
and Williams College
REU Program): *Double Bubbles on Flat Two-dimensional
Tori-Part I*

** D. Jacob Wildstrom** (Massachusetts Institute of Technology and University
of Idaho REU Program): *On Pairs of Monochromatic and Zero-sum
Hooked Sets*

Also, a special research prize of $150.00 from the Council on Undergraduate Research was awarded to:

**Paul Holt** (Williams College
and Williams College
REU Program): *Double Bubbles on Flat
Two-dimensional Tori-Part II*

**MAA Student Lecture**

Early August is a good time to
start talking about college football, and **Dr.
Rhonda Hatcher **of** Texas Christian
University **entertained an audience of about sixty people with her MAA
Student Lecture on ranking college football teams. Dr. Hatcher, a Harvard Ph.D. and 1998 winner
of the MAA Deborah and Franklin Tepper Haimo Award for Distinguished College
Teaching of Mathematics, provided some linear algebra based approaches to
ranking college football teams. The
first of these produced rankings based on the powers of the matrix used to
represent division I college football teams and the outcomes of their games
against one another. The first power of
this matrix produced a ranking based on team winning percentages. The second power of the matrix gave a ranking
based on the sum of the winning percentages of a team's opponents divided by
the number of the team's wins. After
thirty iterations this matrix produced a ranking based on strength of
conference. This was evidenced by an
entertaining top ten ranking of last year's college football teams which
included six teams from the Big Ten Conference and three teams from the Pac Ten
Conference.

A slight variation on this approach led after eight iterations to a top ten that was more similar to the final top ten of last year's college football season. This approach favored strength of schedule in producing the ranking.

As Dr. Hatcher noted, the method of ranking college football teams employed by the Bowl Championship Series, arbiters of the national college football championship, is not purely mathematical in nature but employs some very subjective components. Dr. Hatcher's purely mathematical approaches to ranking college football teams offered a very entertaining look at some alternatives to the BCS ranking system.

**MAA Student Workshop**

**Dr. Jeffrey Weeks, freelance mathematician **and** MacArthur Fellow**, guided a group of about fifty students through a
very hands-on and highly entertaining MAA Student Workshop. Dr. Weeks, who received his Ph.D. from Princeton
University, led the

students through an exploration that yielded a classification of the number of possible tilings of spherical, Euclidean, and hyperbolic space for dimensions three and higher using maximally symmetric tiles. The five maximally symmetric tiles consisted of tetrahedra, cubes, octahedra, icosahedra, and dodecahedra. The highly imaginative student workshop began with Dr. Weeks passing out small plastic triangles to several

groups of students and asking different groups of students to discover that joining the triangles with three, four, or five triangles per vertex yielded tilings of a sphere, while six triangles per vertex tiled a plane and seven or more triangles per vertex tiled hyperbolic space. This exercise was then repeated with squares, pentagons, hexagons, and septagons. The tetrahedra, cubes, octahedra, icosahedra, and dodecahedra assembled in these exercises were put to use in the exploration of possible tilings of spherical, Euclidean, and hyperbolic space in dimensions three and higher. The student workshop concluded with a question and answer session with Dr. Weeks.

**Student**** ****Hospitality**** ****Center**

The Student Hospitality Center was as busy as ever at MathFest 2001 in Madison, Wisconsin. Following the Student Reception, and for the duration of the meeting, it was a favorite place for students to congregate. The Student Hospitality Center has been a mainstay now for almost a decade for students attending the joint winter meetings as well as MathFest meetings. Some prepared and practiced their talks, some collaborated with others on solving some of the more difficult mathematical puzzles, and some perused the library of Math Horizons magazines. Some met with advisors, some formed new acquaintances, some came in to simply relax and enjoy refreshments. Most MAA Student Chapter Advisors dropped by for information about student talks. Advisors are always welcome in the Student Hospitality Center. Members of the MAA Committee on Undergraduate Student Activities and Chapters frequented the center in greeting visitors. Katarina Briedova of MAA headquarters saw to it that the Center was furnished with lots of different information for both students and their advisors.

Look for The Student Hospitality Center at the next national meeting. Everyone is welcome in The Student Hospitality Center.

**New National Math Champion Crowned**

The fourth annual U.S. National
Collegiate Mathematics Championship was held following the MAA Student Lecture
at MathFest 2001. The champion for the
past two years, Greg Jones of the University
of Missouri, was present along with
twenty other students from across the country. Among them was Michael Khoury from Denison
University who took first place
this year, with Jones the runner-up. The
competition, which lasted nearly an hour, began with an explanation of the
rules. After this each competitor began
working on the first in a series of seven problems. A competitor was not allowed to begin working
on a subsequent problem until the immediate problem was finished. Khoury and Jones both finished all seven
problems, with Khoury finishing first. First place prizes included a trophy in the shape of the

by Texas Instruments, and a
summer internship at the Lawrence Livermore National Research Laboratory. The internship is an outstanding opportunity
for the top winner of the yearly championship to study among some of the finest
researchers in the world, and has a monetary value of almost $10,000. All students received t-shirts and

Championship medallions. Jones also received a runner-up trophy to go along with his two national championship trophies from years past.

In order for a student from your campus to qualify for the national championship, the college must be registered in the monthly Problem Solving Competition, edited by Dr. Richard Neal. For information on the annual event and the monthly Problem Solving Competition contact Richard Neal, University of Oklahoma, Department of Mathematics, 601 Elm Avenue, Norman, OK 73019.

Whassup in San Diego

·

Professor M. Elisabeth Pate¢-Cornell will give the MAA Student Lecture on the topic of Finding and Fixing Systems' Weaknesses: the Art and Science of Engineering Risk Analysis. Professor Pate¢-Cornell is the Burt and Deedee McMurtry Professor of Engineering and Chair of the Department of Engineering at Stanford University.

Methods of Engineering Risk
Analysis are based on a functional analysis of engineered systems and on
probabilities, most of the time, Bayesian. These methods allow identification of the system's failure modes and of
the contribution of each element to the overall probability of failure. The model can then be extended to include
human decisions and actions and the management factors that might be root
causes of systems' failures. Because
this approach allows considering rare events, even some that have never
occurred yet, it can be particularly beneficial when trying to identify, in a
proactive mode, a system's weaknesses and the least expensive way of fixing
them. This is particularly critical in
situations when decisions and policies need to be made before full information
is available, when many other human needs are competing for the same resources,
and therefore when priorities need to be set. In this talk Professor Pate

·

There will be small grants
available for faculty in California to help
bring minority students to attend the MAA/AMS Joint Winter Meetings in San
Diego in January of 2002. Interested faculty in California should
write to Jean Bee Chan at **jbchan1@attglobal.net**. (Please note the "1" after jbchan)

·

Mathematics "happens" outside the
classroom and, in fact, many math majors are drawn to the subject through an
event sponsored by a Student Chapter or Math Club. This session seeks presentations by academic,
industrial, business, or student mathematicians. Descriptions of non-classroom activities
could include, but are not limited to, special lectures, workshops for
students, Math Days, Math Fair, research projects for students, Career Days,
recreational mathematics, problem solving activities, and student consultants. Applications should be submitted to Rick
Poss (**possrl@mail.snc.edu**) of

Contact Information

How to Reach the MAA

*For Membership Information, Subscriptions, *

*and Publications orders contact:*

The MAA Service Center

P.O. Box 9112

Washington, DC 20090-1622

800-331-1622 or (301) 617-9415

FAX: (301) 206-9789

*For the MAA Headquarters:*

The Mathematical Association of

1529 Eighteenth Street, NW

Washington, DC 20036-1385

800-741-9415 or (202) 387-5200

FAX: (202) 265-2384

To Contact the Chapter News Editor

*Suggestions, concerns, and/or contributions
of articles for this newsletter may be sent to:*

James P. Marshall

Illinois College

Department of Mathematics

1101 W. College Ave.

Jacksonville, IL 62650

(217) 245-3432FAX: (217) 245-3034

May the MATH be with you!