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The Duluth Undergraduate Research Program Data 1977-2017

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#### Graduate Schools

Of the 215 participants of the 237 who have been in the program who have received their Bachelor's degrees as of 2017, 196 have gone to graduate school. Of these, 153 have gone to MIT, Harvard,
Berkeley, Chicago, Princeton, or Stanford and 142 have won graduate fellowships (Hertz, DoD, NSF). One hundred and thirty-four participants now have the Ph.D. degree.

#### Honors

In the twenty-three year existence of the AMS-MAA-SIAM Morgan prize for outstanding research by an undergraduate the Duluth program has had thirteen winners (Manjul Bhargava, Daniel Biss, Joshua Green, Melanie Wood, Reid Barton, Jacob
Fox, Daniel Kane, Nathan Kaplan, Aaron Pixton, Maria Monks, Levent Alpoge, Amol Aggarwal, and Ashvin Swaminathan) and eight of the nineteen who have received Honorable Mention
(Kiran Kedlaya, Lenny Ng, Aaron Archer, Samit Dasgupta, Maria Monks, Yufei Zhao, Hannah Alpert and Evan O'Dorney).
The research done at the Duluth REU was a major factor in the decision of the selection committee in all but one instance.
In the twenty-six years that the Association for Women in
(AWM) has awarded the Schafer Prize, fifteen women from the Duluth program have won the award (Elizabeth Wilmer, Zvezdelina Stankova, Catherine O'Neil, Dana Pascovici,
Ruth Britto-Pacumio, Ioana Dumitriu, Melanie Wood, Melody Chan, Alexandra Ovetsky, Ana Caraiani, Alison Miller, Maria Monks, Hannah Alpert, Charmaine Sia, and Sherry Gong)
and eight have been named runner up (Zvezdelina Stankova, Susan Goldstine, Jessica Wachter, Beth Robinson, Wei Ho, Karola Meszaros, Margaret Doig, and Elena Fuchs.)
Duluth REU alumni are tenured, or on tenure track, at Princeton, MIT (4 total, two with an endowed chair and a member of AAAS), Stanford, Chicago, Berkeley,
Yale Cornell (2), UC San Diego (2) (one endowed position),
Michigan, Wisconsin-Madison (3) (two endowed positions), Brown, Johns Hopkins, and Northwestern.
Program alumni have been employed at Google, Microsoft, IBM, AT&T, Facebook, Sun Microsystems, Dropbox, and a
variety of other software companies. Three have started their own companies.

Bhargava won a Fields Medal and was elected to the National Academy of Sciences.
Five participants have received a Clay Mathematics Institute Long-term Prize Fellowship (Bhargava, Biss, Maulik, Pixton and Sheffield) and three have won the American Institute of Mathematics Five-Year Fellowship (Ng, Develin,
Wood). Two of the three AWM Microsoft Research Prizes given to date have gone program alumni (Wood and Williams).
Eleven participants are AMS Fellows (Poonen, Wood, Williams, Ellenberg, Dumitriu, Bhargava, Holm, Kedlaya, Wunsch, Wilkinson, and Hersh).
Poonen is a member of American Academy of Arts and Sciences.
Eleven participants are Hertz Foundation Fellows, thirteen are Sloan Research Fellows, four are Packard Fellows, and 42 are Goldwater Scholors.

#### Citations/Downloads

In February 2018, Google Scholar listed over 230 citations to Zvezdelina Stankova's Duluth papers,
over 230 citations to Manjul Bhargava's Duluth papers, over 160 citations to David Witte's Duluth papers,
over 100 citations to Melody Chan's Duluth papers, over 100 citations to David Moews's Duluth papers, over 80 to Lenny Ng's Duluth papers, and over 60 to Bjorn Poonen's Duluth paper.
In September 2014 Jesse Geneson's Duluth paper was on the list of 25 most cited papers published in the * Journal of Combinatorial Theory Series A* (JCTA) since 2009. In July 2013 Poonen's 1988 Duluth REU paper was the
14th most downloaded paper published in JCTA from ScienceDirect in the previous 90 days. In July of 2014 Levent Alpoge's 2013 Duluth paper was the third most downloaded paper in JCTA from ScienceDirect in the previous 90
days. In September of 2014 Melanie Wood's 2000 Duluth paper was the seventeenth most downloaded paper in the * Journal of Number Theory* from ScienceDirect in the previous 90 days.
On January 16, 2017 Manjul Bhargava's Duluth paper was the 7th most downloaded paper in the Journal of Number Theory in the past 90 days. On August 2,
2017 Sammy Luo's 2016 Duluth paper was 6th most downloaded article in the Journal of Number Theory.

#### Publications

As of July 2017 226 papers written in the program have been published in
professional-level refereed journals. Among them are 69 in the journal * Discrete Mathematics*, 28 in the *Electronic Journal of Combinatorics*, 22 in the
*Journal of Number Theory* and 10 in the * Journal of Combinatorial Theory Series A,*
10 in *Discrete Applied Mathematics*, 6 in the *Journal of Graph Theory,*
and 5 in the *Journal of Combinatorial Theory Series B*.
Program papers also have been published in the *Pacific Journal of Mathematics, Journal of Algebra, European Journal of Combinatorics,
Journal fur die reine und angewandte Mathematik, Communications in Algebra, SIAM Journal of Discrete Mathematics, Journal of Algebraic Combinatorics, Semigroup Forum, Israel Journal of Mathematics,*
and the * Proceedings of the American
Mathematical Society.*Among the areas represented by the papers are: combinatorics, graph theory, number theory, semigroup theory, group theory, ring theory, field theory, set theory, algebras, and game theory.
Seven Duluthians are coauthors of papers with a Fields Madelist.

#### Networking

Many participants return to Duluth year after year.
David Moulton has participated in the program for 31 years, Dave Witte Morris
for 23, Daniel Isaksen for 14, Melanie Wood for 14, Phil Matchett Wood for 13, Mike Develin for 11, Geir Helleloid for 10,
Aaron Pixton for 9, Kiran Kedlaya for 9, Nathan Kaplan for 9,
Tim Chow for 9, Douglas Jungreis for 8, Stephen Hartke for 8,
Nathan Pflueger for 8,
Daniel Biss for 7, David Arthur for 7, Ricky Liu for 7,
Aaron Archer for 6, Mike Reid for 6, Patricia Hersh for 6, Alison Miller for 6, Jared Bass for 6,
David Rolnick for 6,
Manjul Bharagava for 5, Ben Gunby for 5, Levent Alpoge for 5, Maksim Maydanskiy for 5, Lenny Ng for 5, Samit Dasgupta for 5, Josh Greene for 5, Reid Barton for 5,
Yi Sun for 5, Jack Huizenga for 5, Adam Hesterberg for 5,
and 30 others who have participated for at least three summers.
Repeated visits by many people fosters a sense of community among the participants despite the wide differences in
ages. Many research papers have been jointly authored by Duluth REU participants subsequent to their participation.
Networking of Duluth REU alumni also takes place at the annual joint mathematics meetings in January.
Typically 40-60 program alumni attend these meetings and we have a program reunion dinner one evening.
The 2013 joints meetings were particularly noteworthy for the Duluth REU. Three of the one-hour invited speakers were program alumni
and in alumnus Jordan Ellenberg's talk he cited the research of four other Duluth alumni. (Although neither Ellenberg's results nor the others he cited were related research done at the Duluth
REU, this does illustrate the remarkable reach of the Duluth REU network.)
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