George Lusztig PRIMES Mentorships
In September 2014 MIT Mathematics Professor George Lusztig, the recipient of the 2014 Shaw Prize in mathematics, used a significant part of this prize to make a very generous gift to PRIMES, as the first contribution to its endowment. This has made it possible to establish George Lusztig PRIMES mentorships. Several such mentorships will be awarded each year to continuing PRIMES mathematics mentors for exceptional mentor service in past years.
2018 Lusztig Mentors
Zhenkun Li is a PhD student in the Mathematics department at MIT. His interests are in low dimensional topology, especially Gauge theory. Zhenkun has served as a PRIMES, RSI, and DRP mentor since 2016. His RSI2016 student DonaMaria Ivanova won the Fourth Award in Math at the Intel International Science and Engineering Fair (ISEF) in 2017. 

Gwen McKinley is a Ph.D. student in the Mathematics department at MIT. She received her B.S. in mathematics from the University of California, Davis, and an associate’s degree from Pasadena City College. Her research interests are in combinatorics and graph theory. She has been MathROOTS program director (20162017), a teaching assistant, a math tutor, and an academic peer advisor, and she loves working with students! In 2017 she was honored as one of MIT's Graduate Women of Excellence. 

Ao Sun is a PhD student in the Mathematics department at MIT. He is interested in geometry, especially geometric analysis. He has served as a PRIMES, RSI, and DRP mentor since 2015. Most projects he mentored are related to geometric differential equations and combinatoric geometry. 
2017 Lusztig Mentors
Lucas MasonBrown is a PhD student in the Mathematics department at MIT. He specializes in representation theory and its connections to quantum mechanics. He has a recreational interest in old handwritten codes and recently published a book, Decoding Roger Williams, on a code he deciphered in college. Lucas has served as a PRIMES, MSRP, and DRP mentor since 2015. Before beginning at MIT, Lucas was a seventh grade math teacher in Boston. He is a recipient of the George J. Mitchell Fellowship, the David Howell Premium for Excellence in Mathematics, and the Karen T. Romer Undergraduate Teaching and Research Award. 

Andrew Rzeznik is a PhD student in the Mathematics department at MIT. His interests are Fluid Mechanics, Wave Phenomena, Dynamical Systems, and Atmospheric Modelling. He has served as a PRIMES, RSI, and DRP mentor since 2015. His RSI student Meena Jagadeesan became a 2016 Davidson Fellow Laureate, won the 2nd place at 2016 Intel STS, and became a 2015 Siemens semifinalist. 

Guangyi Yue is a PhD student in the Mathematics department at MIT. She is interested in representation theory and combinatorics. She has worked as a mentor in the PRIMES, RSI, and DRP programs since 2016. During 2016, she mentored a project on hyperplane arrangement and another one on combinatorial representation theory. 
2016 Lusztig Mentors
Chiheon Kim is a Ph.D. student in the Department of Mathematics at MIT. His research interests include combinatorial optimization and discrete geometry. He has served as a PRIMES and RSI mentor since 2013. His PRIMES2013 student, Junho Won, became 2014 Intel STS semifinalist and won Outstanding Presentation award at 2014 MAA Undergraduate Student Poster Session. His RSI2013 student Bertrand Stone became Semifinalist at Siemens 2013, Semifinalist at Intel STS 2014, and received an Honorable Mention for AMS Menger Award at Intel ISEF 2014. His RSI2014 student David Stoner won IMO2015 with a gold medal. His RSI2014 student Kavish Gandhi became a Semifinalist at Intel STS 2015 and published an article on arXiv.org (http://arxiv.org/abs/1409.7983). Chiheon led PRIMES reading groups in 20142015. 
Seth ShelleyAbrahamson is a Ph.D. student in the
mathematics department at MIT, specializing in Representation Theory. He has served as a PRIMES, RSI, and SPUR mentor since 2014. Together with his SPUR2015 student Charles (Yuchen) Fu, he has won the Rogers Prize for the best SPUR paper. His students have published articles on arXiv.org and submitted to journals (http://arxiv.org/abs/1510.03086, http://arxiv.org/abs/1507.08365, and http://arxiv.org/abs/1506.05503). 

Isabel Vogt is a Ph.D. student at MIT focusing on algebraic geometry and number theory. Her research interests include elliptic curves and their associated Galois representations. She graduated from Harvard in 2014 with an AB in mathematics, and chemistry and physics. While at Harvard she was a course assistant for the math department and was a recipient of a Derek Bok Center teaching award three years in a row. She also mentors elementary and middle school girls in problem solving at Girl's Angle: A Math Club for Girls, and has taught math courses at Harvard and MIT's Educational Studies Program (ESP). In 2015 she was honored as one of MIT's Graduate Women of Excellence. She was a PRIMES Circle mentor in 20132014 and has served as PRIMES Circle Coordinator since the fall of 2014. She represented PRIMES at the NSFsupported Forum on Next Generation STEM Learning for All, with the participation of the White House Office of Science and Technology Policy, in Washington, D.C., in November 2015. 
2015 Lusztig Mentors
Jesse Geneson is a Ph.D. student in the MIT Math Department. His area of interest is discrete mathematics and graph theory. He was an RSI mentor in 20112014 and a PRIMES mentor in 20122014. His RSI student, Sitan Chen, won the 3rd Prize at 2011 Siemens Competition and became a national finalist at 2012 Intel STS; two other RSI students became Intel STS semifinalists, and one became a Siemens semifinalist. His PRIMES students, Jonathan Tidor and Rohil Prasad, won the 5th Prize at the 2012 Siemens Competition, and a PRIMESUSA student, Peter Tian, won the 1st Prize in the 2014 Siemens Competition ($100,000 scholarship). His students have published articles in The Electronic Journal of Combinatorics and on arXiv.org (http://arxiv.org/abs/1307.1169, http://arxiv.org/abs/1208.1814, http://arxiv.org/abs/1410.3147, http://arxiv.org/abs/1305.0505, http://arxiv.org/abs/1308.3810). 
Darij Grinberg is a Ph.D. student in the MIT Math Department. His field of interest is algebra, especially constructive algebra, representation theory and algebraic combinatorics. He was a PRIMES mentor in 20122014. In 2012 he comentored William Kuszmaul and Ziling Zhou, who became 2012 Siemens regional finalists; in 2013 he mentored William Kuszmaul, who became 2014 Intel STS finalist, 2013 Siemens semifinalist, and 2013 Davidson Fellow. His PRIMESUSA student Eric Neyman became a 2014 Siemens semifinalist. His students have published articles in The Electronic Journal of Combinatorics and on arXiv.org (http://arxiv.org/abs/1402.3881, http://arxiv.org/abs/1402.3839, http://arxiv.org/abs/1304.5669, http://arxiv.org/abs/1304.5667, http://arxiv.org/abs/1410.5039). 

Yufei Zhao is a Ph.D. student in the MIT Math Department. He was a PRIMES mentor in 20132014, first leading a reading group on the probabilistic method and then supervising a research project in combinatorics. His research interests include extremal and probabilistic combinatorics and graph theory. He is the recipient of the honorable mention for 2011 Frank and Brennie Morgan prize for outstanding research in mathematics for undergraduates, 2010 Gates Cambridge Scholarship, and 2010 Jon A. Bucsela Prize in Mathematics is given in recognition of distinguished scholastic achievement, professional promise and enthusiasm for mathematics. 
Email us: Primes@math.mit.edu