The William Lowell Putnam Mathematical Competition

Announcement of winners of the eighty-second competition held on December 4, 2021

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.

Andrew Gu

Massachusetts Institute of Technology

Michael Ren

Massachusetts Institute of Technology

Edward Wan

Massachusetts Institute of Technology

Shengtong Zhang

Massachusetts Institute of Technology

Daniel Zhu

Massachusetts Institute of Technology

The Next Ten Highest Ranking Individuals

Each receives an award of $1,000.

Ankit Bisain

Massachusetts Institute of Technology

Quanlin Chen

Stanford University

Tianze Jiang

Massachusetts Institute of Technology

Dain Kim

Massachusetts Institute of Technology

Sean J. Li

Massachusetts Institute of Technology

Brian S. Liu

Massachusetts Institute of Technology

Kevin J. Liu

Massachusetts Institute of Technology

Mihir Singhal

Massachusetts Institute of Technology

Noah Walsh

Massachusetts Institute of Technology

Rui Yao

Massachusetts Institute of Technology

The Next Twelve Highest Ranking Individuals

Each receives an award of $250.

Swapnil Garg

Massachusetts Institute of Technology

Thomas Guo

Massachusetts Institute of Technology

Minjae Kwon

Princeton University

Frank Lu

Princeton University

Zhao Yu Ma

Massachusetts Institute of Technology

Holden Mui

Massachusetts Institute of Technology

Kevin Ren

Massachusetts Institute of Technology

Victor Rong

Massachusetts Institute of Technology

Carl Schildkraut

Massachusetts Institute of Technology

Tristan Shin

Massachusetts Institute of Technology

Franklyn Wang

Harvard University

Guanpeng A. Xu

Massachusetts Institute of Technology

Honorable Mention: Individuals

Gradin Anderson, Brigham Young University
Adam Ardeishar, Massachusetts Institute of Technology
Adam Bertelli, Carnegie Mellon University
Ciprian Mircea Bonciocat, University of California, Los Angeles
Krit Boonsiriseth, Massachusetts Institute of Technology
Joseph Camacho, Brigham Young University
Sanjana Das, Massachusetts Institute of Technology
Sixiang Gao, Carnegie Mellon University
Weizhen Gao, Carnegie Mellon University
Kyle J. Gatesman, Johns Hopkins University
Gopal K. Goel, Massachusetts Institute of Technology
Howard L. Halim, Carnegie Mellon University
Joseph W. Heerens, Massachusetts Institute of Technology
Daniel X. Hong, Massachusetts Institute of Technology
Edward Hou, Carnegie Mellon University
Ivan Hu, University of Wisconsin
Vincent Huang, Massachusetts Institute of Technology
Aaron Alvarado K. Julistiono, Massachusetts Institute of Technology
Ashton Keith, Binghamton University
Aidan M. Kelley, Washington University
John S. Ko, Massachusetts Institute of Technology
Nitin A. Kumar, Massachusetts Institute of Technology
Thomas J. Lam, Carnegie Mellon University
Phuoc Dinh Le, Southern Methodist University
Tran Duy Anh Le, University of Rochester
Saba Lepsveridze, Massachusetts Institute of Technology
Daniel Li, Massachusetts Institute of Technology
Kevin Li, Stanford University
Michael Li, University of Toronto
Samuel J. Li, University of Toronto
Zhening Li, Massachusetts Institute of Technology
Wentinn N. Liao, University of California, Berkeley
Andrew Y. Lin, Massachusetts Institute of Technology
James H. Lin, Massachusetts Institute of Technology
Jason Liu, Massachusetts Institute of Technology
Steven Liu, Massachusetts Institute of Technology
Yijia Liu, Duke University
Jeffrey Lu, Massachusetts Institute of Technology
Edis Memis, Harvard University
Unubold Munkhbat, Massachusetts Institute of Technology
Ritam Nag, Massachusetts Institute of Technology
Quan M. Nguyen, Massachusetts Institute of Technology
Vladyslav Oleksenko, Carnegie Mellon University
Misheel Otgonbayar, Massachusetts Institute of Technology
Alan Peng, Massachusetts Institute of Technology
Gregory Pylypovych, Massachusetts Institute of Technology
Timothy Qian, Massachusetts Institute of Technology
Niyanth Rao, Carnegie Mellon University
Brian E. Reinhart, Massachusetts Institute of Technology
Dilhan H. Salgado, Carnegie Mellon University
Gian Cordana Sanjaya, University of Waterloo
Eric Shen, Harvard University
Zeyu Shen, Duke University
Tomasz Ślusarczyk, Massachusetts Institute of Technology
Nathan Smith, Washington University
Kenta Suzuki, Massachusetts Institute of Technology
Sheldon K. Tan, Harvard University
Colin S. Tang, Massachusetts Institute of Technology
Vittal Thirumalai, Massachusetts Institute of Technology
Rahul K. Thomas, Stanford University
Jianzhi Wang, University of California, Berkeley
Wiliam Wang, Massachusetts Institute of Technology
Xunjing Wei, Massachusetts Institute of Technology
Richard H. Wu, University of California, Berkeley
Alex Wu, University of Michigan
Daniel Xu, Massachusetts Institute of Technology
Binwei Yan, Massachusetts Institute of Technology
Andrew Yao, Massachusetts Institute of Technology
Zi Song Yeoh, Massachusetts Institute of Technology
Justin Y. Yu, Massachusetts Institute of Technology
Runze Yu, University of California, Los Angeles
Fedir Yudin, Massachusetts Institute of Technology
Ethan A. Zahid, Massachusetts Institute of Technology
Brad W. Zhang, Carnegie Mellon University
Daniel J. Zhang, University of California, Santa Barbara
Jacob B. Zhang, University of California, Los Angeles
Honglin Zhu, Massachusetts Institute of Technology

Elizabeth Lowell Putnam Prize

Each receives an award of $1,000.

Dain Kim

Massachusetts Institute of Technology

Winning Teams

Rank

School

Team Members (in alphabetical order)

1

Massachusetts Institute of Technology

Edward Wan, Shengtong Zhang, Daniel Zhu

2

Princeton Univesrity

Minjae Kwon, Frank Lu, Aleksa Milojević

3

Harvard University

Eric Shen, Sheldon K. Tan, and Franklyn Wang

4

Stanford University

Quanlin Chen, Kevin Li, and Rahul K. Thomas

5

University of California, Los Angeles

Ciprian Mircea Bonciocat, Runze Yu, and Jacob B. Zhang

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

Honorable Mention: Teams

Listed by university in alphabetical order.

Carnegie Mellon University

Adam Bertelli, Edward Hou, Dilhan H. Salgado

Duke University

Yijia Liu, Nathan Nguyen, and Zeyu Shen

University of California, Berkeley

Wentinn N. Liao, Jianzhi Wang, and Richard H. Wu

University of Toronto

Michael Li, Samuel J. Li, and Sasha Voitovych

University of Waterloo

Alexander Monteith-Pistor, Gian Cordana Sanjaya, and Rui Ming Xiong

The William Lowell Putnam Mathematical Competition was prepared by:

Andrew Bernoff, Harvey Mudd College — Chair of the Problems Committee

Karl Mahlburg, Susquehanna International Group — Member of the Problems Committee

Richard Stong, Center for Communications Research — Member of the Problems Committee

Gabriel Carroll, University of Toronto — Contributor to the Problems Committee

Andrew Granville, Université de Montreal — Contributor to the Problems Committee

Daniel Ullman, George Washington University — Director of the Competition

Mark Krusemeyer, Carleton College — Associate Director of the Competition

This HTML transcription was made by Kiran S. Kedlaya on February 23, 2022. Please address any corrections to kedlaya[at]ucsd[dot]edu.