# Articles by Steven Miller

## Putnam 2013

While December 7 will always justly live in infamy, this year we’ve added a good reason to remember it. Over 2% of the Williams’ campus took the 2013 Putnam exam; 44 students at Williams and 2 in Budapest. To be precise, the registrar says there are 2177 enrolled students this fall, giving us a participation

## Williams Defends Green Chicken: 165 – 142

Last two years have been close in the Green Chicken. In 2013 no seniors or juniors participated for Williams, but fortunately our school has depth! Our all frosh/soph team of Philip Brockman, David Burt, Sam Donow and Ben Kaufman stepped up and retained the Green Chicken in another tight match, defeating Middlebury 165 to 142  (exam here,

## Conundrum: September 2013: Welcome back, Welcome to the Major

Math Puzzles / Contests at Williams  Lots of opportunities for math puzzles and contests, including Weekly Math Puzzle Night Dinners Monthly Math Conundrums (first one below) The Putnam Exam (early December — cash prizes!) The Green Chicken Contest (at Middlebury this year) Mathematical Contest in Modeling Project Euler  Contact Professors Miller (sjm1@williams.edu) and Stoiciu (Mihai.Stoiciu@williams.edu) to

## Conundrum: October 2013: I Value Your Input!

Alice and Bob are playing the following game: Alice has a secret polynomial P(x) = a_0 + a_1 x + a_2 x^2 + … + a_n x^n, with non-negative integer coefficients a_0, a_1, …, a_n. At each turn, Bob picks an integer k and Alice tells Bob the value of P(k). Find, as a function of the degree

## October Conundrum: We Value Your Input

3rd Conundrum: November 2013: Thanksgiving Challenge As Thanksgiving is rapidly approaching, many turkeys are understandably worried. Several of them have gotten together and convinced humanity to accept the following challenge (rather than settling things with the sword). The turkeys will create a polynomial P(x) such that, no matter what integer k the humans give them,

## Young Mathematicians Conference: August 2013

In August, 2013, 12 students from the SMALL program (4 from Williams) traveled to the tenth annual Young Mathematicians Conference at The Ohio State University. There were 39 talks and 13 posters overall, with our students giving 9 talks and 3 posters. Five students working in Professor Miller’s Number Theory and Probability group won prizes

## 2012 Putnam

2012 Putnam Williams had another strong finish in the Putnam. We had over 1% of the campus take the exam, and our team of Carlos Dominguez, Jared Hallett and Wei Sun finished 19th in the nation. Solutions to the problems are available here: http://math.ucsd.edu/~kedlaya/2012s.pdf (for those interested in math puzzles and competitions, email Professor Miller at

## The 2010 Green Chicken Exam

This Saturday was the annual Green Chicken math contest between Middlebury and Williams. Over 30 students spent several hours doing (and then discussing) math problems in order to determine which school shall have the honor of being the home to a green porcelin chicken. Our team (with top scorers Carlos Dominguez, Wei Sun, David Thompson