## REU 2014

*Lie Groups and Lie Algebras*

Instructor: Viorel Nitica, Professor of Mathematics

## REU 2013

*Functional Analysis and Representation Theory*

Instructor: Viorel Nitica, Professor of Mathematics

## REU 2012

*Topics in convexity*

Instructor: Viorel Nitica, Professor of Mathematics

## REU 2011

*Curved manifolds: from soap bubbles to crumpled paper*

Instructor: Andrew Belmonte, Associate Professor of Mathematics*From linear algebra to functional analysis: an introduction*

Instructor: Nate Brown, Associate Professor of Mathematics

## REU 2010

*Geometry of Polynomials*

Instructor: Sergei Tabachnikov, Professor of Mathematics and MASS Director*Elements of Fractal Geometry and Dynamics*

Instructor: Yakov Pesin, Distinguished Professor of Mathematics

## REU 2009

*Invitation to knot theory*

Instructor: Sergei Tabachnikov, Professor of Mathematics*Degree theory and its applications*

Instructor: Kris Wysocki, Associate Professor of Mathematics

## REU 2008

*Algebraic Geometry*

Instructor: Yuri Zarhin, Professor of Mathematics*Weekly seminar*

Sergei Tabachnikov, Professor of Mathematics

## REU 2007

*Groups and their connections to geometry*

Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics- Non-Euclidean geometry, modular surface, and coding of geodesics

Instructor: Svetlana Katok, Professor of Mathematics *Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2006

*Regular solids and symmetry in three and four dimensions*

Instructor: Adrian Ocneanu, Professor of Mathematics*Latin Squares*

Instructor: Gary Mullen, Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2005

*Topics in Algebra*

Instructor: Yuri Zarhin, Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2004

*Mathematical Billiards*

Instructor: Sergei Tabachnikov, Professor of Mathematics, Director of the MASS Program*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2003

*Elliptic Curves and Elliptic Functions*

Instructor: Yuri Zarhin, Professor of Mathematics*Introduction to Complex Dynamics*

Instructor: Bryna Kra, Assistant Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2002

*Partitions and the Omega Package*

Instructor: George Andrews, Evan Pugh Professor of Mathematics*Differential Equations as Dynamical Systems*

Instructor: Yakov Pesin, Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2001

*Continued Fractions, Hyperbolic Geometry, and Quadratic Forms*

Instructor: Svetlana Katok, Professor of Mathematics*Galois Theory*

Instructor: Victor Nistor, Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 2000

*Dynamical Systems and Applications*

Instructor: Mark Levi, Professor of Mathematics*The Prime Numbers and Their Properties*

Instructor: Robert Vaughan, Professor of Mathematics*Weekly seminar*

Misha Guysinsky, Assistant Professor of Mathematics, Penn State University

## REU 1999

*Symmetry and Representations of Finite Groups*

Instructor: Adrian Ocneanu, Professor of Mathematics*The Theory of Partitions*

Instructor: George Andrews, Evan Pugh Professor of Mathematics*Weekly Seminar*

Instructor: Misha Guysinsky