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\head{Professional Preparation}%
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  % 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} & NSF postdoc, 2000--2004 \\
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\head{Appointments}
\begin{itemize}\setlength{\itemsep}{0ex}
\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}{0ex}
 \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}

\head{Other Publications}%
\begin{itemize}\setlength{\itemsep}{0ex}
\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}{0ex}

\item {\bf Research Tools:} 
Principal author of SAGE (over 100000 lines of new code), 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://modular.math.washington.edu/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 2006; Canada/USA MathCamp mentor (2002); Several Math Circles talks in Boston.
\end{itemize}

\head{Collaborators and Other Affiliations}
\newcommand{\hl}[1]{#1}%
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\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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