Vishal Arul is a PhD student in the Mathematics department at MIT. He received his B.S. in mathematics from Stanford University. His research interests are in number theory and algebraic geometry. He has served as a PRIMES mentor (2016) and MathROOTS mentor (2016) and academic coordinator (since 2017). His PRIMES student Dhruv Rohatgi is a 2016 Siemens semifinalist and a 2017 Regeneron STS scholar. He is a recipient of the Charles and Holly Housman Award for Excellence in Teaching.

Yongyi Chen, a PRIMES alumnus (2011), is a graduate of MIT and a Ph.D. student in the Mathematics department at MIT. His research interests lie in algebraic number theory. He has served as a PRIMES, SPUR, and UROP+ mentor since 2017. His PRIMES student Kaan Dokmeci is a 2018 Regeneron STS scholar and a 2017 Siemens regional finalist.

Kaavya Valiveti is a PhD student in the Mathematics department at MIT. She received her B.A. in Mathematics from the University of California, Berkeley. Her research interests are in the analysis of loop spaces. She has served as a PRIMES mentor since 2019.

Christian Gaetz is a PhD student in the Mathematics department at MIT. He was an undergraduate at the University of Minnesota. Christian is interested in algebraic and enumerative combinatorics, representation theory, graph theory, and connections between these areas and computation. He has served as a PRIMES, DRP, and UROP+ mentor since 2017. His PRIMES student Ayush Agarwal is a 2018 Regeneron STS scholar.

Zhulin Li is a Ph.D. student in the Mathematics department at MIT. She received her B.Eng. from Yao Class of Tsinghua University. She is working in algebraic topology. Zhulin has served as a PRIMES, RSI, and DRP mentor since 2017.

Chris Ryba is a PhD student in the Mathematics department at MIT. His primary research interests are representation theory and algebraic combinatorics. He has served as a PRIMES and UROP+ mentor since 2017. His PRIMES student Mihir Singhal is a 2018 Regeneron STS scholar.

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 RSI-2016 student Dona-Maria 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 (2016-2017), 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.

Lucas Mason-Brown 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.

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 PRIMES-2013 student, Junho Won, became 2014 Intel STS semifinalist and won Outstanding Presentation award at 2014 MAA Undergraduate Student Poster Session. His RSI-2013 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 RSI-2014 student David Stoner won IMO-2015 with a gold medal. His RSI-2014 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 2014-2015.

Seth Shelley-Abrahamson 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 SPUR-2015 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 2013-2014 and has served as PRIMES Circle Coordinator since the fall of 2014. She represented PRIMES at the NSF-supported 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.

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 2011-2014 and a PRIMES mentor in 2012-2014. 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 PRIMES-USA 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 2012-2014. In 2012 he co-mentored 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 PRIMES-USA 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 2013-2014, 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.