About 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 teachers, undergraduate faculty, and researchers in mathematics education.  One of PCMI's main goals is to make all of the participants aware of the total spectrum of activities that occur in mathematics education and research:  we wish to involve professional mathematicians in education and to bring modern concepts in mathematics to the attention of educators.  To that end the summer institute features general sessions designed to encourage interaction among the various groups.  In-year activities at the sites around the country form an integral part of the High School Teachers Program.

Each summer a different topic is chosen as the focus of the Research Program and Graduate Summer School.  Activities in the Undergraduate Summer School deal with this topic as well.  Lecture notes from the Graduate Summer School are being published each year in this series. (The first twelve volumes can be found below.) 

More volumes are in production, including:

• Volume 13: Harmonic Analysis and Partial Differential Equations (2003)
• Volume 14: Geometric Combinatorics (2004)
• Proceedings from subsequent years are in preparation.

Some material from the Undergraduate Summer School is published as part of the Student Mathematical Library series of the American Mathematical Society.  We hope to publish material from other parts of the IAS/PCMI in the future.  This will include material from the Secondary School Teachers Program and publications documenting the interactive activities which are a primary focus of the PCMI.  At the summer institute late afternoons are devoted to seminars of common interest to all participants.  Many deal with current issues in education: others treat mathematical topics at a level which encourages broad participation.  The PCMI has also spawned interactions between universities and high schools at a local level.  We hope to share these activities with a wider audience in future volumes.

John C. Polking
Series Editor
April 2007

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

Each single volume in this subseries 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
  by Gregory F. Lawler and Lester N. Coyle
  
• An Introduction to the Mathematical Theory of Waves
  by Roger Knobel
• Codes and Curves
  by Judy L. Walker
• Lectures in Geometric Combinatorics
  Rekha R. Thomas
  STML/33
• Enumerative Geometry and String Theory
  Sheldon Katz
  STML/32

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

If you have any technical problems with these files, please email series editor John Polking at polking@rice.edu. If you are interested, more information is available about the AMS Book Publishing Program.

Once you submit the completed file to PCMI you will not be able to make further corrections directly to the TeX files. Someone connected with PCMI will check your document for proper formatting and return page proofs to you. You can make written corrections at this stage, but we hope they will be kept to a minimum.

1. You first need to collate and compress your files using a program called uufiles. Information and a copy of the program for unix, mac, and dos is available on the uufaq. Put all of the relevant files in one directory. It should include all TeX files, graphics files, and any special instructions or comments in a README file. Then run uufiles to obtain a file your_name.uu.
    
2. Email John Polking at polking@rice.edu including the file your_name.uu as text. Please send another email to Catherine Giesbrecht at giesbrec@ias.edu with a message saying that you submitted your manuscript.
    
3. Finally, send a hard copy of the completed manuscript to:
    
   IAS/PCMI
   24 South 600 East
   Suite 4
   Salt Lake City, UT 84102

Your manuscript will be checked for correct formatting and a hardcopy corrected version will be sent back to you for final corrections.

If you have any questions about these procedures, or about your manuscript, please contact John Polking at polking@rice.edu.