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\author{William Stein}
\title{Collected Works}
\date{April 2010}

\begin{document}
\maketitle
\tableofcontents

\newpage

\section{Empirical Evidence for the Birch and Swinnerton-Dyer
Conjecture for Modular Jacobians of Genus 2 Curves, with E.V. Flynn,
F. Lepr\'evost, E.F. Schafer, M. Stoll, and J.L. Wetherell}

\includepdf[pages=-]{01.pdf}

\section{Component Groups of Quotients of $J_0(N)$, with D. Kohel}
\includepdf[pages=-]{02.pdf}

\section{Explicit approaches to modular abelian varieties (Ph.D. Thesis)}
\includepdf[pages=-]{03.pdf}

\section{A Mod Five Approach To Modularity Of
Icosahedral Galois Representations, with K. Buzzard}
\includepdf[pages=-]{04.pdf}

\section{There are genus one curves over $\mathbf{Q}$ of
every odd index}
\includepdf[pages=-]{05.pdf}

\section{Cuspidal Modular Symbols Are Transportable, with H. Verrill}
\includepdf[pages=-]{06.pdf}

\section{Lectures on Serre’s conjectures, with K. Ribet}
\includepdf[pages=-]{07.pdf}

\section{An introduction to computing
modular forms using modular symbols}
\includepdf[pages=-]{08.pdf}

\section{The field generated by the points of small
prime order on an elliptic curve, with L. Merel}
\includepdf[pages=-]{09.pdf}

\section{Appendex on Generating the Hecke algebra, with A. Agashe}
\includepdf[pages=-]{10.pdf}

\section{Component Groups of Purely Toric Quotients, with B. Conrad}
\includepdf[pages=-]{11.pdf}

\section{Visibility of Shafarevich–Tate Groups of AbelianVarieties, 
with A. Agashe}
\includepdf[pages=-]{12.pdf}

\section{Visible Evidence For The Birch And
Swinnerton-Dyer Conjecture For Modular Abelian
Varieties Of Analytic Rank Zero, with A. Agashe}
\includepdf[pages=-]{13.pdf}

\section{$J_1(p)$ Has Connected Fibers, with 
B. Conrad and B. Edixhoven}
\includepdf[pages=-]{14.pdf}

\section{Approximation of Eigenforms of Infinite
Slope by Eigenforms of Finite Slope, with R. Coleman}
\includepdf[pages=-]{15.pdf}

\section{Shafarevich–Tate Groups of Nonsquare Order}
\includepdf[pages=-]{16.pdf}

\section{Constructing Elements In Shafarevich-Tate
Groups Of Modular Motives, with N. Dummigan and M. Watkins}
\includepdf[pages=-]{17.pdf}

\section{A Database of Elliptic Curves—First Report,
with M. Watkins}
\includepdf[pages=-]{18.pdf}

\section{Studying the Birch and Swinnerton-Dyer
Conjecture for Modular Abelian Varieties
Using Magma}
\includepdf[pages=-]{19.pdf}

\section{Modular Parametrizations Of Neumann–Setzer
Elliptic Curves, with M. Watkins}
\includepdf[pages=-]{20.pdf}

\section{Conjectures About Discriminants of Hecke
Algebras of Prime Level, with F. Calegari}
\includepdf[pages=-]{21.pdf}

\section{Book -- A Brief Introduction to
Classical and Adelic
Algebraic Number Theory}
\includepdf[pages=-]{22.pdf}

\section{Visibility of Mordell-Weil Groups}
\includepdf[pages=-]{23.pdf}

\section{Visibility of the Shafarevich-Tate Group at Higher Level, with
D. Jetchev}
\includepdf[pages=-]{24.pdf}

\section{Computation of $p$-Adic Heights and Log Convergence,
with B. Mazur and J. Tate}
\includepdf[pages=-]{25.pdf}

\section{Computational Verification Of The Birch And
Swinnerton-Dyer Conjecture For Individual
Elliptic Curves, with G. Grigorov, A. Jorza, S. Patrikis, and 
Corina Tarnita}
\includepdf[pages=-]{26.pdf}

\section{The Manin Constant, with A. Agashe and K. Ribet}
\includepdf[pages=-]{27.pdf}

\section{Average Ranks Of Elliptic Curves: Tension
Between Data And Conjecture, with B. Bektemirov, B. Mazur,
and M. Watkins}
\includepdf[pages=-]{28.pdf}

\section{Book -- Modular Forms: A Computational Approach, with
an appendix by Paul Gunnels}
This book is published by the American Mathematical Society:
\begin{center}
  \url{http://www.ams.org/bookstore-getitem/item=gsm-79}
\end{center}
You can show your support by buying a copy. See also the Amazon.com page:
\begin{center}
\url{http://www.amazon.com/gp/product/0821839608/ref=pd_lpo_k2_dp_sr_1?pf_rd_p=486539851&pf_rd_s=lpo-top-stripe-1&pf_rd_t=201&pf_rd_i=1848162138&pf_rd_m=ATVPDKIKX0DER&pf_rd_r=1H4GENWMXXAJH2F1FQ6H}
\end{center}


\includepdf[pages=-]{29.pdf}

\section{Explicit Heegner points: Kolyvagin’s conjecture and
non-trivial elements in the Shafarevich-Tate group, with
D. Jetchev and K. Lauter}
\includepdf[pages=-]{30.pdf}

\section{Book -- The Birch and Swinnerton-Dyer
Conjecture, a Computational Approach}
\includepdf[pages=-]{31.pdf}

\section{Open Source Mathematical Software, with
David Joyner}
\includepdf[pages=-]{32.pdf}

\section{On the generation of the coefficient field of a
newform by a single Hecke eigenvalue, with K. Koo and
G. Wiese}
\includepdf[pages=-]{33.pdf}

\section{Three Lectures about Explicit Methods in
Number Theory Using Sage}
\includepdf[pages=-]{34.pdf}

\section{Book -- Elementary Number Theory: Primes, Congruences, and Secrets}

This book is published by Springer-Verlag: 
\begin{center}
  \url{http://www.springer.com/math/numbers/book/978-0-387-85524-0}  
\end{center}
You can show your support by buying a copy. See also the Amazon.com page:
\begin{center}
\url{http://www.amazon.com/Elementary-Number-Theory-Computational-Undergraduate/dp/0387855246/ref=sr_1_1?ie=UTF8&s=books&qid=1227154537&sr=8-1}
\end{center}

\includepdf[pages=-]{35.pdf}

\section{Fast computation of Hermite normal forms of random
integer matrices, with C. Pernet}
\includepdf[pages=-]{36.pdf}

\section{Toward a Generalization of the Gross-Zagier Conjecture}
\includepdf[pages=-]{37.pdf}

\section{The Modular Degree, Congruence Primes and Multiplicity One, 
with A. Agashe and K. Ribet}
\includepdf[pages=-]{38.pdf}


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