## MASS 2015

[ Complete Outline ]

*Lie Groups in Two, Three and Four Dimensions*

Instructor: Nigel Higson, Evan Pugh Professor of Mathematics

TA: Qijun Tan*Classical Mechanics and Calculus of Variations*

Instructor: Mark Levi, Professor of Mathematics

TA: Oleg Rudenko*Introduction to Applied Algebraic Geometry*

Instructor: Jason Morton, Assistant Professor of Mathematics and Statistics

TA: Sara Jamshidi

## MASS 2014

[ Complete Outline ]

- Finite Fields and Applications

Instructor: Gary Mullen, Professor of Mathematics

TA: Daniel Droz - An Introduction to Dynamical Systems

Instructor: Victoria Sadovskaya, Associate Professor of Mathematics

TA: Kurt Vinhage - Affine and Projective Geometries

Instructor: Yakov Pesin, Distinguished Professor of Mathematics

TA: Alena Erchenko

## MASS 2013

[ Complete Outline ]

- Number Theory in the Spirit of Ramanujan

Instructor: George Andrews, Evan Pugh Professor of Mathematics

TA: Ayla Gafni - Elements of functional analysis

Instructor: Boris Kalinin, Associate Professor of Mathematics

TA: Shilpak Banerjee - Winding number in topology and geometry (and the rest of mathematics)

John Roe, Professor of Mathematics

TA: Dong Chen

## MASS 2012

[ Complete Outline ]

- Random walk and Brownian motion

Instructor: Alexei Novikov, Associate Professor of Mathematics

TA: Brian Nowakowski - Polynomials

Instructor: Sergei Tabachnikov, Professor of Mathematics and MASS Director

TA: Nick Early - An introduction to geometric topology in dynamics

Instructor: Federico Rodriguez-Hertz, Professor of Mathematics

TA: Kurt Vinhage

## MASS 2011

[ Complete Outline ]

- Spaces: from geometry to analysis and back

Instructor: Anatole Katok, Raymond. N. Shibley Professor of Mathematics

TA: Paul Siegel - Introduction to Ramsey Theory

Instructor: Jan Reimann, Assistant Professor of Mathematics

TA: Matt Katz - From Euclid to Alexandrov: a guided tour

Instructor: Anton Petrunin, Professor of Mathematics

TA: Allan Yashinski

## MASS 2010

[ Complete Outline ]

- Differential equations from an algebraic perspective

Instructor: Nigel Higson, Evan Pugh Professor of Mathematics

TA: Tyrone Crisp - Dynamics, mechanics and geometry

Instructor: Mark Levi, Professor of Mathematics

TA: Pavlo Tsytsura - Function field arithmetic

Instructor: Mihran Papikian, Assistant Professor of Mathematics

TA: Evgeny Mayanskiy

## MASS 2009

[ Complete Outline ]

- Complex analysis from a fluid dynamics perspective

Instructor: Andrew Belmonte, Associate Professor of Mathematics

TA: Andong He - Groups and their connections to geometry

Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics

TA: Vaughan Climenhaga - Explorations in convexity

Instructor: Sergei Tabachnikov, Professor of Mathematics and MASS Director

TA: Pavlo Tsytsura

## MASS 2008

[ Complete Outline ]

- Elliptic Curves and Applications to Cryptography

Instructor: Kirsten Eisentraeger, Assistant Professor of Mathematics

TA: Van Cyr - Elements of Fractal Geometry and Dynamics

Instructor: Yakov Pesin, Distinguished Professor of Mathematics

TA: Vaughan Climenhaga - Introduction to Symplectic Geometry

Instructor: Kris Wysocki, Associate Professor of Mathematics

TA: Vivek Srikrishnan

## MASS 2007

[ Complete Outline ]

- Computability, Unsolvability and Randomness

Instructor: Steve Simpson, Professor of Mathematicss

TA: Jonas Kibelbek - Surfaces: Everything You Wanted to Know About Them

Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics

TA: Vaughan Climenhaga - Topics in Probability Theory

Instructor: Omri Sarig, Associate Professor of Mathematics

TA: Arseny Egorov

## MASS 2006

[ Complete Outline ]

- Finite Fields and their Applications

Instructor: Gary Mullen, Professor of Mathematics

TA: Van Cyr - Aspects of Symmetry: from Representations to Quantum Field Theory

Instructor: Adrian Ocneanu, Professor of Mathematics

TA: Daniele Signori - Mathematical Theory of Waves

Instructor: Alberto Bressan, Professor of Mathematics

TA: Andriy Gogolev

## MASS 2005

[ Complete Outline ]

- Integer Partitions

Instructor: George Andrews, Evan Pugh Professor of Mathematics

TA: Uuye Otgonbayar - P-adic analysis in comparison with real

Instructor: Svetlana Katok, Professor of Mathematics

TA: Bryce Weaver - Geometry and Billiards

Instructor: Sergei Tabachnikov, Professor of Mathematics

TA: Gordana Stojanovic

## MASS 2004

[ Complete Outline ]

- Finite Fields and Applications

Instructor: Gary Mullen, Professor of Mathematics

TA: Carl Mummert - Introduction to Dynamical Systems

Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics

TA: Travis Fisher - Differential Geometry and Topology of Curves and Surfaces

Instructor: Mohammad Ghomi, Visiting Associate Professor of Mathematics

TA: Robert Yuncken

## MASS 2003

[ Complete Outline ]

- Number Theory with Applications to Communication Networks

Instructor: Winnie Li, Professor of Mathematics

TA: Kimberly Schneider - Topological Dynamics

Instructor: Bryna Kra, Professor of Mathematics

TA: Ilie Ugracovici - Geometry and Relativity: An Introduction

Instructor: John Roe, Professor of Mathematics

TA: Robert Yuncken - MASS Seminar

Instructor: Sergei Tabachnikov, Professor of Mathematics

## MASS 2002

[ Complete Outline ]

- Elements of Fractal Geometry and Dynamics

Instructor: Yakov Pesin, Professor of Mathematics

TA: Danijela Damjanovic - Number Theory with a Tilt at Elliptic Curves

Instructor: Dale Brownawell, Professor of Mathematics

TA: Arsen Elkin - Intuitive Topology

Instructor: Sergei Tabachnikov, Professor of Mathematics

TA: Dan Genin - MASS Seminar

Instructor: Sergei Tabachnikov, Professor of Mathematics, Director of MASS Program

## MASS 2001

[ Complete Outline ]

- Combinatorics

Instructor: George Andrews, Evan Pugh Professor of Mathematics

TA: Alexander Chindiapine - Geometry and Relativity: An Introduction

Instructor: Nigel Higson, Distinguished Professor of Mathematics

TA: David Shoenthal - Mathematical Analysis of Fluid Flow

Instructor: Andrew Belmonte, Assistant Professor of Mathematics

TA: Dmitri Matsnev - MASS Seminar

Instructor: Sergei Tabachnikov, Associate Professor of Mathematics, Director of MASS Program

## MASS 2000

[ Complete Outline ]

- Finite Groups, Symmetry and Elements of Group Representations

Instructor: Adrian Ocneanu, Professor of Mathematics

TA: Bob Yuncken - Projective and Non-Euclidean Geometry

Instructor: Victor Nistor, Professor of Mathematics

TA: Nick Wright - Real and p-Adic Analysis

Instructor: Svetlana Katok, Professor of Mathematics

TA: Travis Fisher - MASS Seminar

Instructor: Sergei Tabachnikov, Associate Professor of Mathematics, Director of MASS Program

## MASS 1999

[ Complete Outline ]

- Topics in Number Theory

Instructor: Robert Vaughan, Professor of Mathematics

TA: Victoria Sadovskaya - Geometric Structures, Symmetry and Elements of Lie Groups

Instructor: Anatole Katok, Raymond N Shibley Professor of Mathematics

TA: Alistair Windsor - Mathematical Methods in Mechanics

Instructor: Mark Levi, Professor of Mathematics

TA: Roland Gunesch - MASS Seminar

Instructor: Jeff Raven

## MASS 1998

[ Complete Outline ]

- Number Theory: From Fermat's Little Theorem to his Last Theorem

Instructor: Ken Ono, Assistant Professor of Mathematics

TA: Jeff Raven - The Exponential Universe

Instructor: John Roe, Professor of Mathematics

TA: Heath Emerson - Functions and Dynamics in One Complex Variable

Instructor: Greg Swiatek, Professor of Mathematics

TA: Boris Kalinin - MASS Seminar

Instructors: Anatole Katok and Alexander Mezhirov

## MASS 1997

[ Complete Outline ]

- Arithmetic and Geometry of the Unimodular Group

Instructor: Svetlana Katok, Professor of Mathematics

TA: Alexander Mezhirov - Real Analysis

Instructor: Nigel Higson, Professor of Mathematics

TA: Dorin Dumitrascu - Explorations in Geometry

Instructor: Dmitri Burago, Assistant Professor of Mathematics, 1997 Sloan Fellow

TA: Eric Johnson, a winner of the 1996-97 Penn State Teaching Assistant award - MASS Seminar

Instructor: Anatoli Kouchnirenko

## MASS 1996

[ Complete Outline ]

- Explorations in Number Theory

Instructor: George Andrews, Evan Pugh Professor of Mathematics

TA Lawrence Sze - Introduction to Dynamical Systems

Instructor: Anatole Katok, Shibley Professor of Mathematics

TA: Serge Ferleger, 1997-98 Sloan Dissertation Fellow - Linear Algebra in Geometry

Instructor: Victor Nistor, Professor of Mathematics

TA: Alexander Mezhirov - MASS Seminar

Instructor: Anatoli Kouchnirenko