The Southwest Center for Arithmetic Geometry

Anderson, AWS 2000 course description: html.

Anderson, “Notes on fermionic Fock space for number theorists” (snapshot at the time of the Winter School): dvi, ps, pdf

Anderson, AWS 2000 project description: dvi, ps, pdf

Anderson, fragment of Maple code for calculating the tau functions appearing in his AWS 2000 lectures: text

Anderson, web site
 Anderson, “Interpolation of numbers of Catalan type in a local field of positive characteristic”: pdf
 Anderson, “A twovariable refinement of the Stark conjecture in the function field case”: pdf
 Baker, AWS 2007: Potential theory on Berkovich spaces

Barbu, slides for AWS 1999 talk: dvi, ps, pdf
 Batyrev, AWS 2004 course description: pdf
 Batyrev, AWS 2004 course notes: pdf
 Bernstein, AWS 2006 course description: pdf
 Bernstein, AWS 2006 course notes: pdf
 Bernstein, AWS 2006 project report: pdf
 Bernstein, AWS 2006 slides from lectures:

Borisov, AWS 1998 abstract of contributed talk: html

Buium, AWS 1998 course abstract: html

Buium, AWS 1998 reading list: html

Buium, AWS 1998 lecture notes: dvi, ps, pdf

Buzzard, AWS 2001 Lecture 1: dvi, ps, pdf

Buzzard, AWS 2001 Lecture 2: dvi, ps, pdf

Buzzard, AWS 2001 Lecture 3: dvi, ps, pdf

Buzzard, AWS 2001 Lecture 4: dvi, ps, pdf

Buzzard, AWS 2001 project description: dvi, ps, pdf

Buzzard, AWS 2001 students' writeup of their lecture: dvi, ps, pdf
 Candelas, AWS 2004 course description: pdf

Carlson, notes by Sharifi, “An introduction to Hodge theory and its applications”: dvi, ps, pdf

Clozel, AWS 2001 project description: html
 Cohen, AWS 2006 course description: pdf
 Cohen, AWS 2006 course notes: pdf
 Cohen, AWS 2006, extract from a forthcoming book relevant to the course: pdf
 Cohen, AWS 2006, references for the book: pdf
 Cohen, AWS 2006 lecture slides: pdf

ColliotThélène, AWS 1999 project description: dvi, ps, pdf

ColliotThélène, “Algebraic families of nonzero elements of ShafarevichTate groups” (with Poonen): pdf
 ColliotThélène, AWS 1999 references: dvi, ps, pdf
 Conrad, AWS 2007: Several approaches to nonarchimedean geometry

Cremona, AWS 1999 project description: html

Cremona, AWS 1999 reading list:html

Cremona, web site

Cremona, (with Mazur), “Visualizing elements in the ShafarevichTate group,” (to appear in the Journal of Experimental Math): dvi, ps, pdf)

Darmon, AWS 1998 course abstract: html

Darmon, AWS 1998 reading list: html

Darmon, AWS 1998, “Rigid local systems, Hilbert modular forms, and Fermat’s last theorem”: dvi, ps, pdf

Darmon, web site

deJong, AWS 2002 course and project description: html
 deJong, AWS 2002 course notes:
 Lecture 1 in pdf
 Lecture 2 in pdf
 Lecture 3 in pdf
 Lecture 4 in pdf
 deJong students, write up of deJong's project: dvi, ps, pdf. The participants on the
project were Jim Brown, Kirsten Eisentrager, Krzysztof Klosin, Jorge
Pineiro, Mak Trifkovic, and Oliver Watson. The write up was done by
Jim, Kirsten, Krzysztof, Jorge, and Oliver.

Deligne, AWS 2002 course description: dvi, ps, pdf

Deligne, AWS 2002 project description: dvi, ps, pdf

Deninger, May 2005 Distinguished Lecture Series on “Arithmetic geometry and analysis on foliated spaces”: pdf

Frankenhuysen, AWS 1998 abstract of contributed talk: html

Frankenhuysen, “The abc conjecture implies Roth's theorem and Mordell's conjecture”: dvi, ps, pdf

Goncharov, “Multiple zetavalues, Galois groups, and geometry of modular varieties”: link to ArXive

Goncharov, “Multiple polylogarithms and mixed Tate motives”: link to ArXive

Goncharov, “The dihedral Lie algebras and Galois symmetries of [a fundamental group]”: link to ArXive
 Hain, AWS 2005 course description: text
 Hain, AWS 2005 course notes: pdf

Hughes Hallet, “Mathematics for the Reluctant”: ppt

Hughes Hallet, AWS 2002 PD component spreadsheet on medical testing and Bayes' theorem: xls

Katz, “Lfunctions and monodromy: four lectures on Weil II.”: pdf

Katz, AWS 2000 project description: html

Kedlaya, Preliminary notes on Deligne's AWS 2002 lectures: pdf
 Kedlaya, AWS 2007: padic cohomology: from theory to practice

Kessel, AWS 1998 course abstract: html

Kessel, “Teaching Mathematical Problem Solving”: ps, pdf

Kessel, AWS 1998 references: ps, pdf

Kim, with Ribet, “Torsion points on modular curves and Galois theory”: dvi, ps, pdf

Kimura, “Chow groups can be finite dimensional, in some sense”: ps

Lakatos, notes of a lecture series by Pillay, “Model theory and diophantine geometry”. These notes contain a few inaccuracies and should be considered as a preliminary draft: ps, pdf

Lauter, with Schoof and Zieve, AWS 2000 course description: html

Lauter, with Zieve, AWS 2000 project description: dvi, ps, pdf

Lauter, “DeligneLusztig curves as ray class fields”: ps pdf

Lauter, “A formula for constructing curves over finite fields with many rational points”: ps pdf

Levy, AWS 2001 course description: html

Loeser, AWS 2003 course and project description: pdf

Loeser, AWS 2003 course notes (revised 9/03): pdf

Luca, AWS 1998 abstract of contributed talk: html

Macintyre, AWS 2003 course and project description: pdf

Macintyre, AWS 2003 course notes: pdf

Marshall, AWS 1999 talk slides: dvi, ps, pdf

Masser, AWS 1998 reading list: html
 Matsumoto, AWS 2005 course description: pdf
 Matsumoto, AWS 2005 course notes: pdf

Mazur, AWS 1998 course abstract: html

Mazur, AWS 1998 reading list: html

Mazur, “Three lectures about the arithmetic of elliptic curves”: dvi, ps, pdf

Mazur, AWS 1999 bibliography: dvi, ps, pdf

Mazur, comments on “visualizing elements in the ShafarevichTate group,”: dvi, ps, pdf

Mazur, (with Cremona), “Visualizing elements in the ShafarevichTate group,” (to appear in the Journal of Experimental Math): dvi, ps, pdf

Mazur, “Visualizing elements of order three in the ShafarevichTate group,” (to appear in the Journal of Asian Mathematics): dvi, ps, pdf

Mazur, AWS 2001 preliminary lecture notes: dvi, ps, pdf

Mazur, AWS 2001, More detailed notes by Mazur's students: dvi, ps, pdf

Mazur, AWS 2001 project description: dvi, ps, pdf

Mazur's AWS 2001 students, “Notes on KatoSiegel functions,”: dvi, ps, pdf

Mazur, A repository at Harvard of documents related to Mazur's lectures and project

McCallum's AWS 1999 student group, web site on Jacobians of genus 1 curves
 Morrison, AWS 2004 course description: pdf

O'Neil, thesis: dvi, ps, pdf
 Papikian, write up of Ulmer’s AWS 2000 project: ps, pdf

Pillay, notes by Lakatos, “Model theory and diophantine geometry”. These notes contain a few inaccuracies and should be considered as a preliminary draft: ps, pdf

Pillay and Scanlon, AWS 2003 course and project description: pdf

Pillay, Notes for AWS 2003 course: pdf

Poonen, “Algebraic families of nonzero elements of ShafarevichTate groups” (with ColliotThélène): pdf

Poonen, “Computational aspects of curves of genus at least 2”: ps, pdf

Poonen, AWS 1999 project description: html

Poonen, web site

Poonen, AWS 2003 course and project description: pdf

Poonen, AWS 2003 course notes: pdf and gzipped dvi

Pop, AWS 2003 course and project description: pdf

Pop, AWS 2003 course notes: pdf
 Pop, AWS 2005 course description: pdf
 Pop, AWS 2005 course notes: pdf

Ramakrishnan, AWS 2001 course outline and project description: dvi, ps, pdf

Ribet, with Kim, “Torsion points on modular curves and Galois theory”: dvi, ps, pdf

Rohrlich, “False division towers of elliptic curves”: link to the Journal of Algebra

Rohrlich, “A deformation of the Tate module”: link to the Journal of Algebra

Rubin, “Elliptic curves with complex multiplication”: dvi, ps, pdf

Rubin, “Euler systems and modular elliptic curves”: dvi, ps, pdf

Rubin, “General Euler systems” (large: 840K dvi file, 9MB pdf file!): dvi, ps, pdf

Rubin, AWS 1999 project description: html

Rubin, web site

Sarnak, AWS 2001 course and project description: html

Sarnak, AWS 2001 references: dvi, ps, pdf

Scanlon and Pillay, AWS 2003 course and project description: pdf

Scanlon, AWS 2003 course notes: pdf

Scanlon, AWS 2003 Slides: pdf
 Schneps, AWS 2005 course description: pdf
 Schneps, AWS 2005 course notes: pdf

Schoof, with Lauter and Zieve, AWS 2000 course description: html

Schoof, “Algebraic curves and coding theory”: dvi, ps, pdf

Sharifi, notes of a lecture series by Carlson, “An introduction to Hodge theory and its applications”: dvi, ps, pdf

Stein, “Some Abelian Varieties with Visible ShafarevichTate Groups”: dvi, ps, pdf

Stein, Number Theory Tables

Stein, SAGE: Open Source Mathematics Software
 Stillman, AWS 2006 course description: pdf
 Stillman, AWS 2006 course notes: pdf
 Stillman, AWS 2006 slides from lectures:
 Stillman, AWS 2006 Macaulay code: tar
 Sturmfels, AWS 2006 course description: pdf
 Sturmfels, AWS 2006 lecture notes: pdf by Silvia Adduci
 Sturmfels, AWS 2006 slides from lectures:

SwinnertonDyer, “Diophantine
Equations: Progress and Problems”: pdf

SwinnertonDyer, “A new method for certain Diophantine equations”: pdf

Szpiro, AWS 1998 reading list: html

Takahashi, “Spreadsheet Software as a Teaching Tool for Introductory
Mathematics Courses”: ppt

Takahashi, Zip archive of 7 spreadsheets and a Powerpoint file to accompany his lecture: zip (2.6MB)
 Teitelbaum, AWS 2007: The padic upper half plane

Tsuji, “Explicit reciprocity law for LubinTate groups”: dvi, ps, pdf

Tsuji, “Crystalline sheaves, syntomic cohomology, and padic polylogarithms”: dvi, ps, pdf

Tzermias, “The ManinMumford Conjecture: A Brief Survey”: dvi, ps, pdf

Ulmer, AWS 2000 course description: html

Ulmer, AWS 2000 course outline: dvi, ps, pdf

Ulmer, AWS 2000 project description: dvi, ps, pdf
 Ulmer, AWS 2000 project, writeup by Papikian: ps, pdf

Ulmer, “Elliptic curves over function fields with large rank”: arXiv link

Ulmer, “A simple simulation to value stock options”: ppt

Ulmer, Zip archive of 3 spreadsheets on option valuation models: zip

Ulmer, “A note on ‘riskneutral valuation’”: pdf

Villegas, AWS 2002 course and project description: dvi, ps, pdf

Voisin, AWS 2002 course and project description: html

Voisin, Extract from a book on Hodge theory: ps

Vojta, AWS 1998 course abstract: html

Vojta, AWS 1998 reading list: html

Vojta, “A more general abc conjecture”: dvi, ps, pdf

Vojta: “Chapter 0” of preliminary material on number theory and algebraic geometry: dvi, ps, pdf

Voloch, AWS 1998 course abstract: html

Voloch, AWS 1998 reading list: html

Voloch, AWS 1998 lecture notes: dvi, ps, pdf
 Wan, AWS 2004 course description: pdf
 Wan, AWS 2004 course notes: pdf

Wang, “A note on Wronskians and the abc theorem in function fields of prime characteristic”: dvi, ps, pdf

Wang, “ABC estimate, integral points, and geometry of Pn minus hyperplanes”: dvi, ps, pdf

Wang, AWS 1998 abstract of contributed talk: html

Weston, “The modular curves X_{0}(11) and X_{1}(11)”: ps, pdf

Weston, “The Euler system of Heegner points”: dvi, ps, pdf

Wetherell, AWS 1999 project description: html

Wetherell, thesis: dvi, ps, pdf

J. Yu, AWS 1998 abstract of contributed talk: html

J. Yu, “On arithmetic of hyperelliptic curves”: dvi, ps, pdf

K. Yu, AWS 1998 abstract of contributed talk: html

Zieve, with Lauter and Schoof, AWS 2000 course description: html

Zieve, with Lauter, AWS 2000 project description: dvi, ps, pdf