The William Lowell Putnam Mathematical Competition

Announcement of winners of the sixty-seventh competition held on December 2, 2006

Winning Teams

Rank	School	Team Members (in alphabetical order)
1	PRINCETON UNIVERSITY	Ana Caraiani, Andrei Negut, and Aaron C. Pixton
2	HARVARD UNIVERSITY	Tiankai Liu, Alison B. Miller, and Tong Zhang
3	MASSACHUSETTS INSTITUTE OF TECHNOLOGY	Oleg Golberg, Daniel M. Kane, and Kuat T. Yessenov
4	UNIVERSITY OF TORONTO	Tianyi David Han, János Kramár, and Viktoriya Krakovna
5	UNIVERSITY OF CHICAGO	David Coley, Junehyuk Jung, and Zhiwei Calvin Lin

The first place team receives an award of $25,000 and each member of the team receives $1,000. The awards for second place are $20,000 and $800; for third place $15,000 and $600; for fourth place $10,000 and $400; and for fifth place $5,000 and $200.

In each of the following categories, the listing is in alphabetical order.

The Putnam Fellows--The Five Highest Ranking Individuals

Each receives an award of $2,500.

HANSHENG DIAO	Massachusetts Institute of Technology
DANIEL M. KANE	Massachusetts Institute of Technology
TIANKAI LIU	Harvard University
PO-RU LOH	California Institute of Technology
YUFEI ZHAO	Massachusetts Institute of Technology

The Next Ten Highest Ranking Individuals

Each receives an award of $1,000.

TIMOTHY G. ABBOTT	Massachusetts Institute of Technology
RALPH C. FURMANIAK	University of Waterloo
ANDERS H. KASEORG	Massachusetts Institute of Technology
SUNGYOON KIM	Massachusetts Institute of Technology
YUNCHENG LIN	Massachusetts Institute of Technology
ALISON B. MILLER	Harvard University
KEVIN P. MODZELEWSKI	Massachusetts Institute of Technology
ANDREI NEGUT	Princeton University
AARON C. PIXTON	Princeton University
ERIC C. PRICE	Massachusetts Institute of Technology

The Next Eleven Highest Ranking Individuals

Each receives an award of $250.

SARAN AHUJA	Brown University
PARK DOO SUNG	California Institute of Technology
SHINN-YIH HUANG	Massachusetts Institute of Technology
MATTHEW M. INCE	Massachusetts Institute of Technology
THEODORE P. JOHNSON-FREYD	Stanford University
CEDRIC LIN	University of British Columbia
THOMAS J. MILDORF	Massachusetts Institute of Technology
XUANCHENG SHAO	Massachusetts Institute of Technology
ANDREI B. UNGUREANU	Princeton University
YEOIL YOON	California Institute of Technology
RUMEN IVANOV ZAREV	California Institute of Technology

Honorable Mention: Teams

UNIVERSITY OF BRITISH COLUMBIA	Farzin Barekat, Cedric Lin, and Samuel Wong
BROWN UNIVERSITY	Saran Ahuja, Paul Levande, and Adam Merberg
DUKE UNIVERSITY	Kshipra Bhawalkar, Nikifor Bliznashki, and Lingren Zhang
HARVEY MUDD COLLEGE	Greg Minton, Brian T. Rice, and Theodore C. Spaide
STANFORD UNIVERSITY	Serin Hong, Robert D. Hough, and Kiat Chuan Tan
WASHINGTON UNIVERSITY, ST. LOUIS	Justin Gilmer, Jonathan Pinyan, and Eric R. Wofsey

Honorable Mention: Individuals

ZACHARY R. ABEL, Harvard University	MARIA J. MONKS, Massachusetts Institute of Technology
JAE M. BAE, Harvard University	TOR GUNNAR MYKLEBUST, University of Waterloo
JARED A. BASS, Harvard University	ALBERT R. NI, Massachusetts Institute of Technology
RICHARD V. BIGGS, Carnegie-Mellon University	DIMITER V. OSTREV, Yale University
CHRISTOPHER M. BREAUX, Stanford University	NATHAN K. PFLUEGER, Stanford University
STEVEN J.F. BYRNES, Harvard University	JONATHAN PINYAN, Washington University, St. Louis
ANA CARAIANI, Princeton University	WEI QUAN JULIUS POH, Cornell University
CHARLES CHEN, Harvard University	AARON H. POTECHIN, Princeton University
BENJAMIN J. CONLEE, Harvard University	GREGORY N. PRICE, Harvard University
PETER Z. DIAO, Princeton University	ANAND B. RAJAGOPALAN, Massachusetts Institute of Technology
EVAN P. DUMMIT, California Institute of Technology	BRIAN T. RICE, Harvey Mudd College
OLEG GOLBERG, Massachusetts Institute of Technology	SHUBHANGI SARAF, Massachusetts Institute of Technology
RISHI V. GUPTA, Harvard University	NIKHIL A. SAVALE, Massachusetts Institute of Technology
TIANYI DAVID HAN, University of Toronto	PENG SHI, Duke University
SERIN HONG, Stanford University	CHARMAINE J. SIA, Massachusetts Institute of Technology
LOZAN M. IVANOV, California Institute of Technology	DIMITAR SIMEONOV, Massachusetts Institute of Technology
DANIEL C. JERISON, Harvard University	KIAT CHUAN TAN, Stanford University
JOHN Y. KIM, Massachusetts Institute of Technology	KENNETH TAY, Princeton University
JÁNOS KRAMÁR, University of Toronto	JASON A. TRIGG, Massachusetts Institute of Technology
GABRIEL E. KREINDLER, Princeton University	WUTTISAK TRONGSIRIWAT, University of Virginia
DANIEL T. LE, Stanford University	ILIYA T. TSEKOV, Massachusetts Institute of Technology
JOEL B. LEWIS, Harvard University	XIAO HENG WANG, University of Waterloo
ZHIWEI CALVIN LIN, University of Chicago	MENG-HSUAN WU, Stanford University
MARK I. LIPSON, Harvard University	KUAT T. YESSENOV, Massachusetts Institute of Technology
ANTON S. MALYSHEV, Princeton University	TONG ZHANG, Harvard University
DRAGOS I. MICHNEA, Harvard University	YOU ZHOU, Massachusetts Institute of Technology

Elizabeth Lowell Putnam Prize

Winner receives an award of $1,000.

ALISON B. MILLER

Harvard University

Questions Committee

Steven Tschanz, Vanderbilt University (chair); Titu Andreescu, University of Texas, Dallas; and Greg Kuperberg, University of California, Davis.

A total of 3640 students from 508 colleges and universities in Canada and the United States participated in the Competition. There were teams from 402 institutions. More complete details will appear in the American Mathematical Monthly.

March 1, 2007
Leonard F. Klosinski, Director; Gerald L. Alexanderson and Loren C. Larson, Associate Directors
This HTML transcription was made by Kiran S. Kedlaya on April 3, 2007. Please address any corrections to kedlaya[at]mit[dot]edu.