# PRIMES: Areas of Research

2013 Research Areas

In 2013 PRIMES runs research projects in mathematics, computational and physical biology, and computer science.

Projects in Mathematics

This section includes 19 students working on 12 research projects (10
individual projects and 2 joint projects for 2 students) and
studying in 3 **reading groups** (1-2 students in each).
Mathematics research projects for PRIMES were suggested by
faculty from MIT, Harvard University, Brandeis University, the University of Massachusetts (Lowell),
and MathWorks. They include projects in
combinatorics, algebraic combinatorics, algebra, computer
algebra, graph theory, and
number theory.
For details, see project presentations at the
**2013 PRIMES Conference**.

For more detail, see

*
World-class research … in the 10th grade* (MIT News
article)

Computer Science

This section includes 16 students working on 12 projects (8
individual projects and 4 joint projects for 2 students).
Computer science research projects for PRIMES were suggested by
faculty from MIT Electrical Engineering and Computer Science
Department, the Harvard-MIT Health Sciences and
Technology Division, and Draper Laboratories. They include projects in
concurrent data structures, algorithmic game theory,
machine-checked mathematical theorem-proving, functional
programming for web apps, computational biology, and medical
informatics. For details, see project
presentations at the **2013
PRIMES Conference**.

Computational and Physical Biology

This section includes 4 students working on individual
projects. Computational and physical biology projects for PRIMES
are run by
the
Mirny Lab and
funded by the
MIT Physical Sciences-Oncology Center: Single-Cell Dynamics
in Cancer. Research topics include studying mutations that cause cancer,
studying the evolutionary origins of genes that cause cancer,
and studying how a long DNA or RNA molecule is packed inside a tiny virus particle.
For details, see project presentations at the
**2013 PRIMES Conference**.

On the work of the Mirny Lab, see MIT News articles:

Some cancer mutations slow tumor growth (2013)

*
Seeing cancer in three dimensions *
(2011)

2012 Research Areas

In 2012 PRIMES offered research projects in mathematics, computational and physical biology, and computer science.

Projects in Mathematics

This section included 16 students working on 12 projects (8
individual projects and 4 joint projects for 2 students).
Mathematics research projects for PRIMES were suggested by
faculty from MIT, Brandeis University, the University of Massachusetts (Lowell),
and MathWorks. They included projects in
combinatorics, graph theory, analysis, dynamical systems,
number theory, group theory and representation theory.
For details, see project presentations at the **
2012 PRIMES Conference**.

Computer Science

This section included 10 students working on 8 projects (6
individual projects and 2 joint projects for 2 students).
Computer science research projects for PRIMES were suggested by
faculty from MIT Electrical Engineering and Computer Science
Department and from the Harvard-MIT Health Sciences and
Technology Division. They included projects in distributed
algorithms, computational complexity, programming languages,
robotics, and medical informatics. For details, see project
presentations at the **2012
PRIMES Conference**.

Computational and Physical Biology

This section included 4 students. Computational biology projects for PRIMES were run by
the
Mirny Lab and
funded by the
MIT Physical Sciences-Oncology Center: Single-Cell Dynamics
in Cancer. Research topics included studying mutations that cause cancer,
studying the evolutionary origins of genes that cause cancer,
and studying how a long DNA or RNA molecule is packed inside a tiny virus particle.
For details, see project presentations at the **
2012 PRIMES Conference**.

2011 Research Areas

Projects in Mathematics

This section included 9 students working on 8 projects (7
individual projects and 1 joint project for 2 students).
Mathematics research projects for PRIMES were suggested by
faculty from MIT, the University of Massachusetts (Lowell),
and Microsoft Research New England. They included projects in
combinatorics, graph theory/dynamical systems, arithmetic of
finite fields, commutative algebra and algebraic geometry
over finite fields, number theory, convex geometry, and
representation theory. For details, see project
presentations at the **2011
PRIMES Conference **and the 2011
**research papers**.

Computer Algebra Lab

This was a workshop for 6 students. The goal of the Lab
was
to teach the students the basics of abstract algebra in a
hands-on way through the use of the advanced computer
algebra system SAGE. At the same time, the students learned
how to use SAGE to obtain experimental data in algebra
problems. The Lab students were working on 3 research
projects (1 individual and 2 group projects) on
representation theory. For details, see project
presentations at the **2011
PRIMES Conference** and the 2011
**research papers**.

Computational and Physical Biology

This section included 6 students. Computational biology
projects for PRIMES were run by the
Mirny Lab and
funded by the
MIT Physical Sciences-Oncology Center: Single-Cell Dynamics
in Cancer. The projects included a study of the role of
cell function in cancer progression by computer simulations
and the use of molecular dynamics simulations for 3-D DNA
data analysis. For details, see project presentations at the
**2011 PRIMES Conference**.

**Contact**

**With questions, contact PRIMES Program Director
Dr. Slava Gerovitch at****
primes@math.mit.edu **