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\signature{Emma Carberry.}

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  \opening{Dear #2:}  % Prof. So-and-So, or Committee Members:
  
I am currently a graduate student at Princeton University, working under the supervision of Phillip Griffiths. I expect to obtain my Ph.D by June 2000. I am writing to apply for #3. #4 

My research interests are in the fields of both differential geometry and complex algebraic geometry. In my thesis I use algebro-geometric techniques to study questions arising in the theory of integrable systems. In particular, my work involves harmonic maps from a Riemann surface to a compact Lie group. 

%My research interests lie in the fields of differential geometry and complex algebraic geometry. I am particularly interested in integrable systems. In my thesis I use techniques from algebraic geometry to study harmonic maps. This involves viewing the harmonic map equations (for maps of a Riemann surface to a
compact Lie group) as an integrable system.

%My current research lies in the intersection of differential geometry and algebraic geometry. In my thesis I use techniques from algebraic geometry to study a question arising in the theory of integrable systems. More specifically, I study the moduli space of harmonic maps of tori into the 3-sphere. I am also interested in applications of differential geometry to control theory. For more details, please refer to my research statement, and c.v., which are enclosed. 

#5

I have extensive teaching experience, and have always received very positive feedback from students. I am currently teaching a course ``Mathematics for Economists'', for which I am the only lecturer, and for which I have designed the syllabus. %My teaching statement and c.v. contain further information. 

During my time at Princeton, I have also been active in service to the mathematical community. Most notably, in 1999 I founded a women-in-math group here, of which I am currently president. We host regular seminars and social events, both of which are well-attended. 

#6
 
Please find enclosed an AMS cover sheet, my curriculum vitae, a research statement and a teaching statement.
I have arranged for letters of reference to be sent to you from Phillip Griffiths, Peter Sarnak, Ivan Sterling, and Ingrid Daubechies. Professor Daubechies' letter addresses teaching, whilst the other three concern my research. 

I would be happy to send you any further information you may require, and will also be available at the January meetings in New Orleans. I will present a poster there on my thesis work, in the AWM poster session. The time and location of this are:\\
Sat, Jan 13th, 10:30am-12pm\\
Pontchartrain A, 3rd Floor, Sheraton Hotel.

 
My contact details are:
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  Emma Carberry \\
  Department of Mathematics \\
  Princeton University \\
  Fine Hall, Washington Road \\
  Princeton, NJ 08544-1000 \\
carberry@math.princeton.edu\\
ph: (609) 258-5794 (o), (609) 924-0995 (h)\\
fax: (609) 258-1367
  \end{verse}
 
  Thank you for your consideration.
  
  \closing{Sincerely,}
  
  \end{letter}
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