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\centerline {\LARGE\bf Neil Lyall}
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University of Wisconsin \\ 
Department of Mathematics \\
480 Lincoln Drive \\
Madison, WI 53706 USA\\
\\
Home: (608) 358-6863 \\ 
Work: (608) 262-3600 \\
email: lyall\@math.wisc.edu
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{\bf {\underbar{Citizenship:}}} \ \ \ \ \ \ United Kingdom

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\noindent
{\bf \underbar{{Date of Birth:}}} \ \ \ March 4, 1977

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\noindent
{\bf {\underbar{Place of Birth:}}} \ \ Edinburgh, Scotland
\noindent
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\noindent
{\bf{\underbar{Education:}}}
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\begin{itemize}
\item Doctor of Philosophy in Mathematics, \newline
University of Wisconsin at Madison, expected May 2004.
begin{itemize}
\item[]Thesis title: {\it Strongly singular integral operators on the 
Heisenberg group.}
\item[] Advisor: Stephen Wainger.

\item Master of Arts in Mathematics, \newline
University of Wisconsin at Madison, December 2000.
\item  Bachelor of Science with First Class Honours in Mathematics, 
\newline
University of Edinburgh, Scotland, June 1999.
\end{itemize}

\noindent
{\bf{\underbar{Research Interests:}}}

\begin{itemize}
\item  analysis, analytic number theory.
\end{itemize}


\noindent
{\bf{\underbar{Preprints:}}}
\begin{itemize}
\item  singular integral operators on the Heisenberg group
\item  singular integral operators on the Heisenberg group II
\item  singular integral operators on $\mathbb{R}^n$: Non-Fourier transform method
\end{itemize}


\noindent
{\bf{\underbar{Presentations:}}}
\begin{itemize}
\item  {\it Regularity properties of Fourier integral operators.} \\
Specialty exam, University of Wisconsin at Madison, Spring 2002.
\end{itemize}


\noindent
{\bf{\underbar{Seminars:}}} Graduate analysis and Analysis teaching seminar talks, University of Wisconsin.

\begin{itemize}
\item {\it Strongly singular integral operators on $\mathbb{R}^n$}, Spring 2003.  
\item {\it Oscillatory integrals related to Bochner-Riesz and restriction}, Fall 2001.

\item {\it Introduction to the restriction conjecture}, Fall 2001.

\item {\it Ball multipier conjecture}, Fall 2000.  

\item {\it The Brunn-Minkowski inequality}, Spring 2000.  

\end{itemize}


\noindent
{\bf{\underbar{Teaching and Coordinating experience}:}}

\begin{itemize}
\item  Summer Collegiate Experience, Summer 2003.

\item  Math 101 (Intermediate Algebra) coordinator, Spring 2002 and 2003.

\item  International TA training coordinator, Summer 2001 and 2002.

\item  TA coordinator, Fall 2001.

\item  Grader for Math 521, Spring 2000 and 2001.
\end{itemize}


\noindent
{\bf{\underbar{Classes taught}:}}
\begin{itemize}
\item{Instructor:}
\begin{itemize}
\item[]Intermediate Algebra
\item[]Trigonometry
\item[]Calculus with Algebra and Trigonometry I
\end{itemize}
\item Teaching assistant:
\begin{itemize}
\item[] Algebra and Trigonometry
\item[] Calculus with Algebra and Trigonometry II
\item[] Calculus with Analytic Geometry
\item[] Topics in Calculus II
\item[] Topics in Multi-Variable Calculus and Linear Algebra
\end{itemize}
\end{itemize}


\noindent
{\bf{\underbar{Awards and Honors}:}}

\begin{itemize}
\item Excellence in Teaching, May 2002.
\item  UW-Madison Exceptional Service Award for Teaching Assistants \\
(nominated, decision expected December 2003).
\end{itemize}


\noindent
{\bf{\underbar{Commitee experience}:}}

\begin{itemize}
\item  Graduate Program Commitee, Fall 2003.
\item  Teaching Assistants' Association's Political Action Commitee, Fall 2002 - present.
\end{itemize}

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