# Award-winning RSI Projects Supervised by PRIMES staff

*This page lists past high school student research projects at
Research Science
Institute (RSI) suggested and supervised by our staff (the mentors were
MIT graduate students).*

**Prof. Pavel Etingof has proposed and supervised the following projects:**

1.

**Travis Schedler**(1997). Mentor: Alexander Soloviev. Travis won the 5th place in the Westinghouse competition for this project (the 2nd place among mathematics projects). This project gave rise to the research paper:

P. Etingof, T. Schedler, A. Soloviev, "Set-theoretical solutions of the quantum Yang-Baxter equation,"

*Duke Math. J.,*Volume 100, Number 2 (1999), 169-209, arXiv:math/9801047

Travis went on to get a B.A. in math at Harvard and Ph.D. in math at the University of Chicago and was the only recipient of the 5-year AIM (American Institute of Mathematics) fellowship in 2008. He is currently an AIM fellow and a Moore Instructor in the MIT Math Department.

2. **Dmitry Vaintrob** (2006). Mentor: Aaron Tievsky. Dmitry
won the top prize in the Siemens competition in 2006 and the
3rd place in the Intel
STS in 2007. He was also a
top winner for ISEF in 2007. The project gave rise to the paper:

D. Vaintrob, "The string topology BV algebra, Hochschild cohomology and the
Goldman bracket on surfaces,"
arXiv:math/0702859

Dmitry became a math major at Harvard.

3. **Eric Larson** (2008). Mentor: David Jordan. Eric won the
2nd prize in the Siemens Competition and the
top prize in the Intel STS. He also won a
top prize at ISEF. His project gave rise to the paper:

David Jordan, Eric Larson, "On the classification of certain fusion
categories," *Journal of Noncommutative Geometry*, Volume 3, Issue 3
(2009): 481-499, arXiv:0812.1603

Eric became a math major at Harvard.

4. **Akhil Mathew** (2009). Mentor: Dustin Clausen. Akhil won the
3rd prize in the Intel STS and also ranked 3rd in mathematics at ISEF.

His project gave rise to the paper:

Akhil Mathew, "Categories parametrized by schemes and representation theory
in complex rank," arXiv:1006.1381

Akhil became an undergraduate at Harvard.

5. **Noah Arbesfeld** (2008). Mentor: David Jordan. Noah became a
national finalist and then won the
6th prize in the Intel STS. His project gave rise to the paper:

Noah Arbesfeld, David Jordan, "New results on the lower central series
quotients of a free associative algebra," *Journal of Algebra*, Volume 323,
Issue 6 (2010): 1813-1825,
arXiv:0902.4899

Noah became a math major at MIT and a member of the
PRIMES Advisory Board.

6. **Arjun Puranik** (2009). Mentor: Martina Balagovic. Arjun became
an Intel finalist and a
regional finalist for Siemens.
His project gave rise to the paper:

Martina Balagovic, Arjun Puranik, "Irreducible representations of the
rational Cherednik algebra associated to the Coxeter group H_3,"
arXiv:1004.2108

Arjun became an undergraduate at Stanford.

7. **Maxim Rabinovich** (2008). Mentors: David Jerison, Emanuel Stoica.
Maxim
worked on a project
in mathematical physics
suggested jointly by Pavel Etingof and David Jerison. He became an
Intel finalist
and a Siemens semifinalist. Maxim became a math major at Princeton.

8. **Anirudha Balasubramanian** (2009). Mentor: Martina Balagovic.
Anirudha's project
won him the status of semifinalist
in both the Siemens competition and the Intel STS. He also ranked 2nd in
math in ISEF and got
a special prize which comes with a small planet named after him.
His research led to the paper:

Martina Balagovic, Anirudha Balasubramanian, "On the Lower Central Series Quotients of a Graded Associative Algebra,"
arXiv:1004.3735 (accepted to *
Journal of Algebra*)

Anirudha became an undergraduate at Harvard.

9. **George Kerchev** (2009) Mentor: Bhairav Singh.
George did a project on representation theory. He could not compete in Intel and Siemens, because he is not a U.S. citizen.
His project, however, has resulted in a paper, joint with B. Singh, which
will soon be released and submitted to a research journal. George became
an undergraduate at Princeton.

10. **Katrina Evtimova** (2008). Mentor: Emanuel Stoica. Katrina did a
project on representation theory. She became a math concentrator at Harvard.

**Prof. Leonid Mirny will supervise bioinformatics projects at PRIMES.
He has previously supervised the following project:**

1. **Alex Chernyakhovsky** (2008).
Supervisor: Leonid Mirny. Alex performed a bioinformatics study of influenza
viruses. He wrote a computer code, collected and analyzed sequences of
hemagglutinin proteins of influenza viruses and studied their evolution. He
was a
national first-place winner in the 2008-2009 Young Epidemiology Scholars
Competition, won the 2nd place in teams at the 2008 ISEF, won a number of
Special Organization Awards at the 2009 ISEF, and was a 2007-2008 Siemens
Competition Regional Finalist and a 2008-2009 Semifinalist. Alex
became an undergraduate at MIT.

**Dr. Tanya Khovanova has supervised the following project:**

1. **Lynnelle Ye**
(2009). Mentor: Tirasan Khandhawit. Lynnelle won the
2nd prize in the Siemens
Competition 2009 and the
4th
prize in the Intel STS 2010. Lynnelle became an undergraduate at Stanford.

## Contact

With questions, contact PRIMES Program Director Dr. Slava Gerovitch at