The William Lowell Putnam Mathematical Competition

Announcement of winners of the seventy-seventh competition held on December 3, 2016

Winning Teams

Rank School Team Members (in alphabetical order) 1 CARNEGIE MELLON UNIVERSITY Joshua D. Brakensiek, Thomas E. Swayze, and Samuel Zbarsky 2 PRINCETON UNIVERSITY Eric D. Schneider, Zhuo Qun Song, and Xiaoyu Xu 3 HARVARD UNIVERSITY Pakawut Jiradilok, Dong Ryul Kim, and David W. Stoner 4 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Robert C. Shen, David H. Yang, and Yunkun Zhou 5 STANFORD UNIVERSITY Jie Jun Ang, Huy T. Pham, and Albert R. Zhang

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.

JOSHUA D. BRAKENSIEK Carnegie Mellon University DONG RYUL KIM Harvard University THOMAS E. SWAYZE Carnegie Mellon University SAMUEL ZBARSKY Carnegie Mellon University YUNKUN ZHOU Massachusetts Institute of Technology

The Next Nine Highest Ranking Individuals

Each receives an award of $1,000.

CALVIN DENG Harvard University JIYANG GAO Massachusetts Institute of Technology XIAOYU HUANG University of California, Los Angeles ALLEN X. LIU Massachusetts Institute of Technology SAMMY Y. LUO Massachusetts Institute of Technology ERIC D. SCHNEIDER Princeton University ZHUO QUN SONG Princeton University DANIEL SPIVAK University of Waterloo MURILO C. ZANARELLA Princeton University

The Next Eleven Highest Ranking Individuals

Each receives an award of $250.

EVAN CHEN Massachusetts Institute of Technology ANDREW HE Massachusetts Institute of Technology HYUN SUB HWANG Massachusetts Institute of Technology RAVI JAGADEESAN Harvard University ESHAAN NICHANI Massachusetts Institute of Technology MARK A. SELLKE Massachusetts Institute of Technology ROBERT C. SHEN Massachusetts Institute of Technology ȘTEFAN SPĂTARU Harvard University DAVID W. STONER Harvard University SCOTT WU Harvard University LINGFU ZHANG Massachusetts Institute of Technology

Honorable Mention: Teams

CALIFORNIA INSTITUTE OF TECHNOLOGY Zachary Chase, Matthew Jin, and Matthew A. Weidner HARVEY MUDD COLLEGE Adam R. Busis, Jordan Haack, and Abram Sanderson UNIVERSITY OF CALIFORNIA, LOS ANGELES Emre Girgin, Xiaoyu Huang, and Konstantin Miagkov UNIVERSITY OF WASHINGTON William L. Dana, Jasper P. Hugunin, and Austin Stromme UNIVERSITY OF WATERLOO Antonio M. Lovett, Daniel Spivak, and Anzo Z. Teh

Honorable Mention: Individuals

SINA ABBASE, University of Waterloo JUSTIN K. LIM, Massachusetts Institute of Technology KUSHAL A. AGARWAL, California Institute of Technology TING-CHUN LIN, Massachusetts Institute of Technology DAVID J. ALTIZIO, Carnegie Mellon University YANG LIU, Massachusetts Institute of Technology RYAN N. ALWEISS, Massachusetts Institute of Technology ERIK A. METZ, University of Maryland, College Park JIE JUN ANG, Stanford University KONSTANTIN MIAGKOV, University of California, Los Angeles RODRIGO S. ANGELO, Princeton University SHYAM S. NARAYANAN, Harvard University ANDRE A. ARSLAN, Princeton University WEERACHAI NEERANARTVONG, Massachusetts Institute of Technology ITAI BAR-NATAN, University of Toronto AARON J. BERGER, Yale University ERIC NEYMAN, Princeton University BRIAN D. BURKS, University of California, Berkeley MINH PHUONG NGUYEN, Stony Brook University ADAM R. BUSIS, Harvey Mudd College SUNG GI PARK, Massachusetts Institute of Technology LEWIS CHEN, University of California, Berkeley NIHAL PEDNEKAR, University of Waterloo WILLIAM B. CHRISTERSON, Carnegie Mellon University HUY T. PHAM, Stanford University WILLIAM L. DANA, University of Washington ZACHARY H. POLANSKY, University of Rochester QUANG VU DAO, Columbia University TAHSIN SAFFAT, Massachusetts Institute of Technology SIMONA DIACONU, Princeton University MEHTAAB S. SAWHNEY, University of Pennsylvania YIBO GAO, Massachusetts Institute of Technology JASON A. SCHUCHARDT, Yale University KYLE A. GETTIG, University of Florida SEAN SHI, Massachusetts Institute of Technology ALBERT GEVORGYAN, University of Waterloo MEL Y. SHU, Princeton University BRIAN H. GU, Massachusetts Institute of Technology KEVIN SUN, Massachusetts Institute of Technology MEGHAL GUPTA, Massachusetts Institute of Technology ANZO Z. TEH, University of Waterloo BRICE HUANG, Massachusetts Institute of Technology SUCHAN VIVATSETHACHAI, Massachusetts Institute of Technology JASPER P. HUGUNIN, University of Washington JACOB J. IMOLA, Carnegie Mellon University HUA WANG, University of California, Berkeley MATTHEW JIN, California Institute of Technology MATTHEW A. WEIDNER, California Institute of Technology PAKAWUT JIRADILOK, Harvard University JIANQIAO XIA, Massachusetts Institute of Technology KRITKORN KARNTIKOON, Massachusetts Institute of Technology VICTOR Z. XU, Carnegie Mellon University MYEONHU KIM, Columbia University XIAOYU XU, Princeton University JACOB J. KLEGAR, Harvard University YUNBEI XU, University of California, Los Angeles SAMUEL KORSKY, Massachusetts Institute of Technology JEFFREY YAN, Harvard University MICHAEL J. KURAL, Massachusetts Institute of Technology DAVID H. YANG, Massachusetts Institute of Technology CALVIN J. LEE, Massachusetts Institute of Technology ALBERT R. ZHANG, Stanford University HEEJONG LEE, University of California, Irvine ZIYANG ZHANG, Harvey Mudd College RAY LI, Carnegie Mellon University ROY H. ZHAO, Princeton University QIAN LIE, University of Chicago KEVIN ZHOU, Massachusetts Institute of Technology

Elizabeth Lowell Putnam Prize

The winner receives an award of $1,000.

SIMONA DIACONU Princeton University

Questions Committee