For the research mathematics community, the American Mathematical Society publishes the IAS/Park City Mathematics Series and the IAS/Park City Mathematics Subseries of the Student Mathematical Library.

- About the IAS/Park City Mathematics Series
- Current List of Park City Mathematics Series
- AMS Student Mathematical Library: Park City Mathematics Subseries
- Resources for Mathematics Educators

**Background of the IAS/Park City Mathematics Series:**

The IAS/Park City Mathematics Institute (PCMI) was founded in 1991 as part of the Regional Geometry Institute initiative of the National Science Foundation. In mid-1993 the program found an institutional home at the Institute for Advanced Study (IAS) in Princeton, New Jersey.

The IAS/Park City Mathematics Institute encourages both research and education in mathematics and fosters interaction between the two. The three-week summer institute offers programs for researchers and postdoctoral scholars, graduate students, undergraduate students, high school students, undergraduate faculty, K-12 teachers, and international teachers and education researchers. The Teacher Leadership Program also includes weekend workshops and other activities during the academic year.

One of PCMI’s main goals is to make all of the participants aware of the full range of activities that occur in research, mathematics training and mathematics education: the intention is to involve professional mathematicians in education and to bring current concepts in mathematics to the attention of educators. To that end, late afternoons during the summer institute are devoted to seminars and discussions of common interest to all participants, meant to encourage interaction among the various groups. Many deal with current issues in education: others treat mathematical topics at a level which encourages broad participation.

Each year the Research Program and Graduate Summer School focuses on a different mathematical area, chosen to represent some major thread of current mathematical interest. Activities in the Undergraduate Summer School and Undergraduate Faculty Program are also linked to this topic, the better to encourage interaction between participants at all levels. Lecture notes from the Graduate Summer School are published each year in this series. The prior volumes are:

- Volume 1: Geometry and Quantum Field Theory (1991)
- Volume 2: Nonlinear Partial Differential Equations in Differential Geometry (1992)
- Volume 3: Complex Algebraic Geometry (1993)
- Volume 4: Gauge Theory and the Topology of Four-Manifolds (1994)
- Volume 5: Hyperbolic Equations and Frequency Interactions (1995)
- Volume 6: Probability Theory and Applications (1996)
- Volume 7: Symplectic Geometry and Topology (1997)
- Volume 8: Representation Theory of Lie Groups (1998)
- Volume 9: Arithmetic Algebraic Geometry (1999)
- Volume 10: Computational Complexity Theory (2000)
- Volume 11: Quantum Field Theory, Supersymmetry, and Enumerative Geometry (2001)
- Volume 12: Automorphic Forms and their Applications (2002)
- Volume 13: Geometric Combinatorics (2004)
- Volume 14: Mathematical Biology (2005)
- Volume 15: Low Dimensional Topology (2006)
- Volume 16: Statistical Mechanics (2007)
- Volume 17: Analytical and Algebraic Geometry (2008)
- Volume 18: Arthimetic of L-functions (2009)
- Volume 19: Mathematics in Image Processing (2010)
- Volume 20: Moduli Spaces of Riemann Surfaces (2011)
- Volume 21: Geometric Group Theory (2012)
- Volume 22: Geometric Analysis (2013)
- Volume 23: Mathematics and Materials (2014)
- Volume 24: Geometry of moduli spaces and representation theory (2015)
- Volume 25: The Mathematics of Data (2016)
- Volume 26: Random Matrices (2017)

The American Mathematical Society publishes material from the Undergraduate Summer School in their Student Mathematical Library and from the Teacher Leadership Program in the series IAS/PCMI—The Teacher Program Series. After more than 25 years, PCMI retains its intellectual vitality and continues to draw a remarkable group of participants each year from across the entire spectrum of mathematics, from Fields Medalists to elementary school teachers.

Rafe Mazzeo

PCMI Director

March 2017

**Current List of Publications – Park City Mathematics Series**

The Park City Mathematics Series is published by the American Mathematical Society. Each volume contains the lectures for that year from the PCMI Graduate Summer School and, in some cases, the Mentoring Program for Women in Mathematics (now known as Women and Mathematics, co-sponsored by the Institute for Advanced Study and Princeton University).

- Volume 1: Geometry and Quantum Field Theory (1991)

Karen Uhlenbeck and Daniel Freed, Editors - Volume 2: Nonlinear Partial Differential Equations in Differential Geometry (1992)

Robert Hardt and Michael Wolf, Editors - Volume 3: Complex Algebraic Geometry (1993)

János Kollár, Editor - Volume 4: Gauge Theory and the Topology of Four-Manifolds (1994)

Robert Friedman and John Morgan, Editors - Volume 5: Hyperbolic Equations and Frequency Interactions (1995)

Luis Caffarelli and Weinan E, Editors - Volume 6: Probability Theory and Applications (1996)

Elton P. Hsu and S.R.S. Varadhan, Editors - Volume 7: Symplectic Geometry and Topology (1997)

Yakov Eliashberg and Lisa M. Traynor, Editors - Volume 8: Representation Theory of Lie Groups (1998)

Jeffrey Adams and David Vogan, Editors - Volume 9: Arithmetic Algebraic Geometry (1999)

Karl Rubin and Brian Conrad, Editors - Volume 10: Computational Complexity Theory (2000)

Avi Wigderson and Stephen Rudich, Editors - Volume 11: Quantum Field Theory, Supersymmetry, and Enumerative Geometry (2001)

Daniel S. Freed, David R. Morrison, and Isadore Singer, Editors - Volume 12: Automorphic Forms and their Applications (2002)

Peter Sarnak and Freydoon Shahidi, Editors - Volume 13: Geometric Combinatorics (2004)

Ezra Miller, Victor Reiner, and Bernd Sturmfels - Volume 14: Mathematical Biology (2005)

Mark A. Lewis, Mark A. J. Chaplain, James P. Keener, and Philip K. Maini - Volume 15: Low Dimensional Topology (2006)

Tomasz Mrowka and Peter Osváth - Volume 16: Statistical Mechanics (2007)

Scott Sheffield and Thomas Spencer - Volume 17: Analytical and Algebraic Geometry (2008)

Jeffrey McNeal and Mircea Mustaţă - Volume 18: Arthimatic of
*L*-functions (2009)

Cristian Popescu, Karl Rubin and Alice Silverberg - Volume 19: Mathematics in Image Processing (2010)

Hongkai Zhao - Volume 20: Moduli Spaces of Riemann Surfaces (2011)

Benson Farb, Richard Hain, and Eduard Looijenga - Volume 21: Geometric Group Theory (2012)

Mladen Bestvina, Michah Sageev, and Karen Vogtmann

**AMS Student Mathematical Library: Park City Mathematics Subseries**

Each single volume in this subseries of the AMS Student Mathematical Library contains lectures from one of the PCMI Summer Session Undergraduate Program courses or the Mentoring Program for Women in Mathematics Undergraduate Course.

- Lectures on Contemporary Probability; Gregory F. Lawler and Lester N. Coyle

STML/2 - An Introduction to the Mathematical Theory of Waves; Roger Knobel

STML/3 - Codes and Curves; Judy L. Walker

STML/7 - Lectures in Geometric Combinatorics; Rekha R. Thomas

STML/33 - Enumerative Geometry and String Theory; Sheldon Katz

STML/32 - Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots; Francis Bonahon

STML/49 - Differential Equations, Mechanics, and Computation; Richard S. Palais and Robert A. Palais

STML/51 - Elliptic Curves, Modular Forms, and Their L-functions; Álvaro Lozano-Robledo

STML/58 - Harmonic Analysis: From Fourier to Wavelets; María Cristina Pereyra and Lesley A. Ward

STML/63 - Algebraic Geometry: A Problem Solving Approach; Thomas Garrity, Richard Belshoff, Lynette Boos, Ryan Brown, Carl Lienert, David Murphy, Junalyn Navarra-Madsen, Pedro Poitevin, Shawn Robinson, Brian Snyder, and Caryn Werner

STML/68

All AMS/PCMI volumes are available from the AMS Bookstore.

**Resources for Mathematics Educators**

Resources for educators (teachers and college faculty) are found on a special website created by the Math Forum at Drexel University: http://mathforum.org/pcmi/.

Specifically:

- PCMI’s teacher-created resources for educators may be found at:

http://mathforum.org/pcmi/hstp/resources.html - Proceedings and briefs from the International Seminar on Mathematics Education:

http://mathforum.org/pcmi/int2007.html

http://mathforum.org/pcmi/PCMI2006IntSeminar.pdf

http://mathforum.org/pcmi/PCMI2005IntSeminar.pdf