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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