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Cambridge, MA  02138}
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        \hfill Curriculum Vitae\vspace{-.2ex}\\}
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\begin{document}

\begin{MainList}{110pt}

\item [Employment]
\begin{bulletlist}
\item {\bf Harvard University}, Benjamin Peirce Assistant Professor,
  2001--present.
\item {\bf NSF} Postdoctoral Fellowship, 2000--2001, 2003--2004.
\item Defense consulting (see {\sf http://dssg.ida.org}), 2002--2003.
\end{bulletlist}

\item [Education]
\begin{bulletlist}
\item {\bf University of California at Berkeley},
      Ph.D., May 2000,\\
%\item Northern Arizona University, Flagstaff, Arizona\\
%M.S. student, mathematics, 1994--1995.\\
%B.S., mathematics, computer science minor, 1991--1994.
{\ptitle Explicit approaches to modular abelian varieties}.
%Committee: Hendrik W.~Lenstra (chair), Bjorn Poonen, Bin Yu.
\end{bulletlist}


\item[Publications]
\begin{enumlist}
   \item {\ptitle Constructing Elements in Shafarevich-Tate Groups of Modular Motives} (19 pages),
   with N.~Dummigan and M.~Watkins, to appear in ``Number theory and algebraic geometry---to Peter Swinnerton-Dyer on his 75th birthday'', Ed.
   M. Reid and A. Skorobogatov.
   \item {\ptitle Approximation of Infinite-Slope Modular Eigenforms
   By Finite-Slope Eigenforms} (13 pages), with R.~Coleman, to appear in the
   Dwork Proceedings.
  \item {\ptitle $J_1(p)$ has connected fibers}, with B.~Conrad and
   B.~Edifxhoven (70 pages), to appear in Documenta Mathematica.
  \item {\ptitle Shafarevich-Tate Groups of Nonsquare Order} (12 pages),
  to appear in the 2002 MCAV proceedings.
  \item {\ptitle Visible Evidence for the Birch and Swinnerton-Dyer
Conjecture for Rank $0$ Modular Abelian Varieties} (30 pages),
with A.~Agashe, to appear in Mathematics of Computation.
  \item {\ptitle A Database of Elliptic Curves--First Report}
(10 pages), in ANTS V proceedings, Sydney, Australia, 2002.
  \item {\ptitle Visibility of Shafarevich-Tate  Groups
    of Abelian Varieties} (19 pages), with A.~Agashe,  J. Number Theory,  {\bf 97}
  (2002),  no. 1, 171--185.
  \item {\ptitle Transportable modular symbols} (12 pages), with H.~Verrill,
   LMS J.\ Comput.\ Math., {\bf 4} (2001), 170--181.
\item Appendix to Lario and Schoof's {\ptitle Some computations
    with Hecke rings and deformation rings} (1 page), with A.~Agashe,
     to appear in Experiment. Math.
  \item {\ptitle There are genus one curves over $\mathbf{Q}$
         of every odd index} (9 pages), J. Reine Angew. Math. (Crelle's Journal).
  \item {\ptitle Component groups of optimal quotients of
Jacobians} (20 pages), with B.~Conrad, , Math. Res. Lett.,  {\bf
8}  (2001),  no. 5-6, 745--766.
  \item {\ptitle The field generated by the points of small prime
       order on an elliptic curve} (7 pages), with L.~Merel,
       Internat.\ Math.\ Res.\ Notices,  2001, no.~20, 1075--1082.
  \item {\ptitle An introduction to computing modular forms using
modular symbols} (10 pages), to appear in an MSRI proceedings volume.
  \item {\ptitle Mod~$5$ approaches to modularity of icosahedral Galois
         representations} (18 pages), with K.~Buzzard, Pacific J.
Math,  {\bf 203}  (2002),  no. 2, 265--282.%
  \item {\ptitle Lectures on Serre's conjectures} (95 pages),
     with K.\thinspace{}A.~Ribet,
     in Arithmetic Algebraic Geometry, IAS/Park City Math.
     Inst. Series, Vol.~9, 143--232.
  \item {\ptitle Component groups of quotients of $J_0(N)$} (9 pages),
     with D.~Kohel,   Proceedings of the 4th International
     Symposium (ANTS-IV), Leiden, Netherlands, July 2--7, 2000,
     Springer, 2000.
 \item {\ptitle Empirical evidence for
     the Birch and Swinnerton-Dyer conjectures for modular Jacobians of
     genus 2 curves} (22 pages),
     with E.\thinspace{}V.~Flynn, F.~Lep-r\'{e}vost,
     E.\thinspace{}F.~Schaefer,
     M.~Stoll, J.\thinspace{}L.~Wetherell,
     Math.\  of Comp. {\bf 70} (2001), no. 236, 1675--1697.


%  \item {\ptitle Fallacies, Flaws, and
%         Flimflam \#92:   An Inductive Fallacy} (1 page),
%     with A.~Riskin,  College Math.\ J.\ 26:5 (1995), 382.
 \end{enumlist}


\item [Books in progress]
\begin{bulletlist}
%  \item {\ptitle The generalized Manin constant and congruence primes}, with A.~Agashe.
  \item {\ptitle Elementary Number Theory and Elliptic Curves}
   (250 page book), under contract
for Springer-Verlag's UTM series.

  \item {\ptitle Lectures on Modular Forms and Galois Representations}
(200 page book), with K.\thinspace{}A. Ribet,
  intended for Springer-Verlag's Universitext series.
\end{bulletlist}


\item [Computation]
\begin{bulletlist}
  \item Author of the modular forms and modular symbols parts of {\sc Magma}
  (Three visits to Sydney, Australia to work with the {\sc Magma} group.)
  \item The Modular Forms Database:\\
      \mbox{}\hspace{3em}
         {\sf http://modular.fas.harvard.edu/Tables/.}
  %\item C++, HTML, \LaTeX, {\sc Magma}, PARI, Python, SQL, {\sc Matlab}.
\end{bulletlist}

\item [Equipment Grants]
Each of the following grants provided substantial computing resources
to many members of the department:
\begin{bulletlist}
\item Sun Education Grant (\$70K Sun Fire V480 server), 2003.
\item 12 Processor Cluster (\$20K from W.\thinspace{}R. Hearst
 III and Harvard), 2002.
\item Vice Chancellor Research Grant (six-processor cluster), 1999.
\end{bulletlist}

\item [Fellowships]
\begin{bulletlist}
\item NSF Postdoctoral Research Fellowship, 2000--2001, 2003-2004.
\item Clay Mathematics Institute Liftoff Fellowship, Summer 2000.
\item Two years support from competitive fellowships at Berkeley.
%\item Cal@SiliconValley University Fellowship, 1999--2000.
%\item Sarah M.\ Hallam Department Fellowship, Spring 1999.
%\item Graduate Student Researcher, Fall 1998.
%\item Outstanding Mathematics Senior, 1994.
%\item Applied math modeling contest, meritorious ranking, 1994.
\end{bulletlist}


\comment{\item [Recent Talks]
{\bf Fall 2001}
\begin{bulletlist}
\item Boston University.
\end{bulletlist}

{\bf Spring 2001}
\begin{bulletlist}
\item National University of Singapore, University of Sydney.
\item Brown,  Penn State, Boston College, Arizona.
\item Harvard-MIT math tournament guest speaker.
\item Europe: MPI, London, Dusseldorf, Bordeaux, and Leuven.
\end{bulletlist}
{\bf Fall 2000}
\begin{bulletlist}
\item %{\ptitle Visibility of Shafarevich-Tate groups},
    Brandeis, Columbia, Harvard,
    McGill, Michigan, MSRI, Princeton.
\item %{\ptitle Getting your hands on modular forms using modular symbols},
    Expository talks at IDA/CCR Princeton and MSRI.
\end{bulletlist}
{\bf Summer 2000}
\begin{bulletlist}
  \item %{\ptitle Visibility of Shafarevich-Tate groups},
    Durham, Utrecht,  Copenhagen, Essen,  Leiden.
%   \item %{\ptitle Modularity of icosahedral Galois representations},
%    Copenhagen, Essen,  Leiden.
%    \item %{\ptitle Three curves: A story of congruences, multiplicity one, and visibility of Shafarevich-Tate groups},

\end{bulletlist}
}
%{\bf Spring 2000}
%\begin{bulletlist}
%   \item UC Berkeley ``Mentor Lecture''.
%{\ptitle Computing with modular forms},
%   \item {\ptitle Evidence for Tate's generalization of the Birch and
%        Swinnerton-Dyer Conjecture}, University of Texas, Austin.
%   \item Austin, University of Georgia
%\end{bulletlist}
%\item {\bf Fall 2000}
%\begin{bulletlist}
%   \item {\em The Manin index of optimal quotients of $J_0(N)$}, Berkeley.
%   \item {\em A modular icosahedral Galois representation of conductor
%    $2^5\cdot 43$}, Berkeley, Fall 1999.
%   \item {\em Shafarevich-Tate groups of modular abelian varieties},
%     IAS/Park City Math.\ Inst. and at
%     Advances in Number Theory, Leiden, Netherlands, April, 1999.
%\item {\em The BSD conjecture}, Graduate Student Colloquium, Spring 1999.
%\item A series of talks on {\em Ramakrishna's deformation theory of
%Galois representations}, Ribet's Fall 1998 seminar.
%\item {\em Finite flat groups schemes of
%type $(p,p,\ldots)$}, Spring 1998.
%\item {\em Kolyvagin's Euler system of Heegner points}, Buzzard's Seminar,
%Berkeley,  Spring 1997.



\item [Teaching]
{\bf Harvard University}
\begin{bulletlist}
\item {\em Modular Abelian Varieties}, graduate course, Fall 2003.
\item {\em Freshman Seminar on Elliptic Curves},  Spring 2003.
\item {\em Elementary Number Theory}, Fall 2001 and 2002.
\item {\em Linear Algebra}, Fall 2001 and Spring 2002.
\end{bulletlist}
{\bf Recent Seminar organization}
\begin{bulletlist}
\item {\em Harvard Modular Curves Seminar}, 2000--2003.
%\item {\em Graduate student number theory seminar}, Berkeley, 1999.
%\item {\em Abelian varieties seminar}, Berkeley, 1996.
\end{bulletlist}
{\bf NSF Sponsored IAS/Park City Mathematics Institute}
\begin{bulletlist}
\item {\em Teaching Assistant}, Summer 1999. Led problem sessions
and prepared notes for Ken Ribet's course on Serre's
conjectures for advanced number theory graduate students.
%\item Panel discussion on the use of technology
%in the classroom.
%\item Led workshops on
%the number theory software PARI and {\sc Hecke}.
\end{bulletlist}


{\bf University of California at Berkeley}
\begin{bulletlist}
 \item {\em Curriculum Development}, Fall 1997--Summer 1998.  Developed
 curriculum materials and {\sc Matlab} software for workshop-based
calculus and linear algebra courses at UC Berkeley.
 \item {\em Instructor}, Summer 1997. Discrete Mathematics.\\
% to
%a class of over 20 undergraduates. Duties included preparing and delivering
%lectures, writing and grading exams, and conducting office hours.
{\bf \nobreak{Evaluation} average: 6.1 out of 7.}
 \item {\em Teaching Assistant}, Fall 1995--Spring 1997.
%  Led discussion sections for
%  linear algebra and second and third semester calculus courses.
\end{bulletlist}
{\bf Northern Arizona University}
\begin{bulletlist}
 \item {\em Teaching}, 1994--1995. Taught complete undergraduate
courses on elementary combinatorics and algebra.
%Duties included all aspects of organizing each course, including
%preparing and delivering lectures, grading examinations,
%and conducting office hours.


\end{bulletlist}

%{\bf Referee}
%\begin{bulletlist}
%\item Refereed papers for {\sl Mathematics of Computation},
% {\sl Mathematische Annalen}, and {\sl The Journal of Symbolic Computation}.
%\end{bulletlist}



%\item [Memberships]
%\begin{bulletlist}
%\item American Mathematical Society, 1995--present.
%\item Mathematical Association of America, 1998--present.
%\end{bulletlist}

\item [Personal]
\address{}\\
US Citizen, born in Santa Barbara, California on February 21, 1974.\\
Phone: \phone

\item [References]\mbox{}\\

\newcommand{\tw}{.4\textwidth}
\hspace{-4em}\begin{tabular}{ll}
\begin{minipage}[b]{\tw}
{\bf Professor Robert F.~Coleman}\\
Department of Mathematics \#3840\\
University of California\\
Berkeley, CA 94720-3840\\
(510) 642-5101\\
{\sf coleman@math.berkeley.edu}\\
\end{minipage}
&\begin{minipage}[b]{\tw}
{\bf Professor Benedict Gross}\\
Department of Mathematics\\
Harvard University\\
Cambridge, MA  02138\\
(617) 495-2172\\
{\sf gross@math.harvard.edu}\\
\end{minipage}

\\
\begin{minipage}[b]{\tw}
{\bf Professor Barry C.~Mazur}\\
Department of Mathematics\\
Harvard University\\
Cambridge, MA  02138\\
(617) 495-2171 ext.~512\\
{\sf mazur@abel.math.harvard.edu}\\
\end{minipage}
&
\begin{minipage}[b]{\tw}
{\bf Professor Kenneth A.~Ribet}\\
Department of Mathematics \#3840\\
University of California\\
Berkeley, CA 94720-3840\\
(510) 642-0648\\
{\sf ribet@math.berkeley.edu}\\
\end{minipage}

\\

\end{tabular}




\comment{
%\begin{minipage}[b]{\tw}
%{\bf Professor Hendrik W.~Lenstra}\\
%Department of Mathematics \#3840\\
%University of California\\
%Berkeley, CA 94720-3840\\
%(510) 643-7857\\
%{\sf hwl@math.berkeley.edu}
%\mbox{}\\
%\end{minipage}
\newpage
\item [References]\mbox{}\vspace{2ex}\\

\newcommand{\tw}{.4\textwidth}
\hspace{-4em}\begin{tabular}{ll}
\begin{minipage}[b]{\tw}
{\bf Doctor Kevin M.~Buzzard}\\
Department of Mathematics\\
Huxley Building\\
Imperial College\\
180 Queen's Gate\\
London, SW7 2BZ\\
England\\
+44 207 594 8523\\
{\sf buzzard@ic.ac.uk}
\end{minipage}
&
\begin{minipage}[b]{\tw}
{\bf Professor Robert F.~Coleman}\\
Department of Mathematics \#3840\\
University of California\\
Berkeley, CA 94720-3840\\
(510) 642-5101\\
{\sf coleman@math.berkeley.edu}\\
\mbox{}\\
\mbox{}\\
\end{minipage}
\\
&\\
\begin{minipage}[b]{\tw}
{\bf Professor Benedict Gross}\\
Department of Mathematics\\
Harvard University\\
One Oxford Street\\
Cambridge, MA  02138\\
(617) 495-2172\\
{\sf gross@math.harvard.edu}
\end{minipage}\\
&
&
\begin{minipage}[b]{\tw}
{\bf Professor Hendrik W.~Lenstra}\\
Department of Mathematics \#3840\\
University of California\\
Berkeley, CA 94720-3840\\
(510) 643-7857\\
{\sf hwl@math.berkeley.edu}
\mbox{}\\
\end{minipage}
&\\
\begin{minipage}[b]{\tw}
{\bf Professor Barry C.~Mazur}\\
Department of Mathematics\\
Harvard University\\
One Oxford Street\\
Cambridge, MA  02138\\
(617) 495-2171 ext.~512\\
{\sf mazur@math.harvard.edu}
\end{minipage}\\

\begin{minipage}[b]{\tw}
{\bf Professor Lo\"\i{}c Merel}\\
Paris\\
France\\
{\sf merel@math.jussieu.fr}\\
\mbox{}\\
\end{minipage}
&
\begin{minipage}[b]{\tw}
{\bf Professor Kenneth A.~Ribet}\\
Department of Mathematics \#3840\\
University of California\\
Berkeley, CA 94720-3840\\
(510) 642-0648\\
{\sf ribet@math.berkeley.edu}
\end{minipage}
\end{tabular}
}
\end{MainList}
\end{document}