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Biographical Sketch
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\head{William Stein}
\begin{itemize}\setlength{\itemsep}{-0.5ex}
\item Email: {\tt wstein@gmail.com}
\item Web: {\tt http://wstein.org}
\item Phone: 206-419-0925
\end{itemize}

\head{Professional Preparation}%
\begin{center}
\begin{tabular}{lll}
  % after \\: \hline or \cline{col1-col2} \cline{col3-col4} ...
\mbox{}\hspace{4.2ex}&   Northern Arizona University\hspace{1.03in}\mbox{}& Mathematics, B.S. 1994 \\
&  University of California at \textbf{Berkeley} & Mathematics, Ph.D. 2000 \\
&  \textbf{Harvard University} & Postdoc, 2000--2005 \\
\end{tabular}
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\head{Appointments}
\begin{itemize}\setlength{\itemsep}{-0.5ex}
\item Associate Professor of Mathematics (with tenure),
University of Washington, September 2006--present.
\item Associate Professor of Mathematics (with tenure),
UC San Diego, July 2005--June 2006.
\item Benjamin Peirce Assistant  Professor  of Mathematics, 
Harvard University, July 2001--May 2005.
\item NSF Postdoctoral Research Fellowship 
under Barry Mazur at Harvard University, August 2000--May 2004.
\item Clay Mathematics Institute Liftoff Fellow, Summer 2000.
\end{itemize}


\head{Most Relevant Publications}%
\begin{itemize}\setlength{\itemsep}{-0.5ex}
 \item \emph{Explicitly {C}omputing {M}odular {F}orms} (284 page),
 Graduate Studies in Mathematics (AMS), 
 2007, with an appendix by Paul Gunnells.

 \item {\ptitle Verification of the Birch and Swinnerton-Dyer
      Conjecture for Specific Elliptic Curves}, with G. Grigorov, A.
    Jorza, S. Patrikis, and C. Patrascu (26 pages), 2005, 
    to appear in Mathematics of Computation.
    
\item {\ptitle Computation of $p$-Adic Heights and Log Convergence},
with B. Mazur and J. Tate (36 pages), 2006, to appear in Documenta
Mathematica. 

\item {\ptitle Average {R}anks of
  {E}lliptic {C}urves: {T}ension {B}etween {D}ata and {C}onjecture},
  with  B.~Bektemirov, B.~Mazur, W.~Stein, and 
  M.~Watkins, to appear in Bulletins of the AMS (2006).
  
\item {\ptitle Visible Evidence for the Birch and Swinnerton-Dyer
Conjecture for Rank 0 Modular Abelian Varieties} (31 pages), with
A.~Agashe, to appear in Mathematics of Computation.%


\end{itemize}

\newpage
\head{Other Publications}%
\begin{itemize}\setlength{\itemsep}{-0.5ex}
\item {\ptitle The Modular Degree, Congruence Primes and Multiplicity One},
with A. Agashe and K. Ribet (16 pages), 2005, to appear in Documenta
Math.


  \item {\ptitle Studying the Birch and Swinnerton-Dyer Conjecture
for Modular Abelian Varieties Using Magma} (22 pages), to appear
as a chapter in the Springer-Verlag book ``Computational Experiments
in Algebra and Geometry''.%


  \item {\ptitle Shafarevich-Tate Groups of Nonsquare Order},
  Progress in Math., {\bf 224} (2004), 277--289, Birkhauser.
  
\item {\ptitle Constructing Elements in Shafarevich-Tate Groups of
Modular Motives}, (19 pages) with N.~Dummigan and M.~Watkins, 
``Number theory and algebraic geometry---to Peter
Swinnerton-Dyer on his 75th birthday'', Ed.
 by   M. Reid and A. Skorobogatov.%

  \item {\ptitle $J_1(p)$ has connected fibers}, with B.~Conrad and
    B.~Edixhoven, Documenta Math., {\bf 8} (2003), 331--408.
  


\end{itemize}

\head{Synergistic Activities}
\begin{itemize}\setlength{\itemsep}{-0.5ex}

\item {\bf Research Tools:} Principal author of Sage, which is a major
  new piece of software.  Author of the modular forms, modular symbols
  and modular abelian varieties parts of the Magma computer algebra
  system (425 pages (26000 lines) of code plus documentation). These
  are tools used by mathematicians who do computations with modular
  forms.%

\item {\bf Databases:} Created and maintain the Modular Forms
Database. This contains continually expanding data about
elliptic curves and modular forms: 
{\tt http://wstein.org/Tables/}.

\item {\bf Outside Service:} IDA/CCR consultant.  Also,
Defense Science Study Group member
2002--2003:
 DSSG is a DARPA funded program administered by the Institute for
Defense Analysis; paper on GPS vulnerabilities.
\item {\bf Outreach:} SIMUW 2007; SIMUW 2006; Canada/USA MathCamp
  mentor (2002); Several Math Circles talks in Boston.
\end{itemize}

\head{Collaborators and Other Affiliations}
\newcommand{\hl}[1]{#1}%
\begin{itemize}\setlength{\itemsep}{-0.5ex}
\item \textbf{Coauthors:} A.~\hl{Agashe} (Florida State U.),
K.~\hl{Buzzard} (Imperial College, London), R.~\hl{Coleman} (UC
Berkeley), B.~\hl{Conrad} (Univ.~of Michigan), N.~\hl{Dummigan}
(Sheffield, UK), S.~\hl{Edixhoven} (Leiden, Netherlands),
F.~\hl{Lepr\'evost} (Univ.\ Joseph Fourier, Technische Univ.\
Berlin), E.\thinspace{}V. Flynn (Liverpool, UK), D.~\hl{Kohel}
(Univ.~of Sydney), B.~\hl{Mazur} (Harvard),
L.~\hl{Merel} (Paris 6), K.~\hl{Ribet} (UC
Berkeley), E.\thinspace{}F.~\hl{Schaefer} (Santa Clara Univ.),
M.~\hl{Stoll} (Inter.~Univ.~Bremen, Germany),
J.~\hl{Tate}, 
H.\thinspace{}A.~\hl{Verrill} (Louisiana State), M.~\hl{Watkins} (Bristol.), J.\thinspace{}L.~\hl{Wetherell} (CCR, San Diego)%
\item \textbf{Graduate and Postdoctoral Advisors:}
\begin{itemize}
\item {\bf Ph.D. adviser:} Hendrik Lenstra, University of Leiden,
Netherlands.%
\item {\bf NSF Postdoctoral adviser:} Barry Mazur, Harvard
University.
\end{itemize}
\item \textbf{Thesis Students:}  2 Ph.D. students:  Robert Bradshaw's Ph.D. thesis at Univ. of Washington and Ifti Burhanuddin's at Univ. of
Southern California. Advised eight undergraduate senior theses at
Harvard. 
\end{itemize}

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% \begin{center}
% \head{Biographical Statement}
% \end{center}

% \noindent{}William Stein will contribute to this project in both a
% research and managerial role.  Stein has been a driving force over the
% last 10 years in applications of computation to research on modular
% forms, $L$-functions, and associated arithmetic objects.  As director
% of the Sage project (http://sagemath.org), he has experience managing
% working groups and working with undergraduates on a wide range of
% projects.

% \vspace{2ex}


% \noindent{}{\bf Support Statement:}
% The proposed project naturally fits in with my other
% NSF-funded research on the Birch and Swinnerton-Dyer conjecture, from
% which I will receive 2 months summer support during the next 2 years
% and funding for travel and materials (DMS-0653968).  I have also
% received an NSF grant (DMS-0703583) to support one postdoc for three
% years, who will work on developing exact linear algebra algorithms and
% implementations for Sage.  I am a co-PI on the Arizona Winter School
% grant (DMS-0602287); this is a yearly 1-week 120-person graduate
% student workshop in arithmetic geometry, whose upcoming topics mesh
% well with the themes of the current proposal (e.g., the next theme is
% quadratic forms, and theta series of quadratic forms are modular
% forms).  I will also be directing graduate and undergraduate research
% that is related to this project during the academic year, not just
% during the summer.  Finally, I am also applying to the NSF FRG program
% for additional money to support a postdoc and workshops.

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