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\begin{comment}  

This LaTeX document is a template to be used by Bates mathematics rising seniors to create a seminar proposal. 

As a guide, the document is already filled out to represent a fictitious proposal, and all you need to do is modify the entries below to represent your own proposal.

Once you have finished your proposal, export it to a PDF file. Give the file a USEFUL name, for example, RiemannSeminarProposal.PDF. Email the PDF file to Kelly Perreault, the Academic Administrative Assistant for Hathorn Hall, at kperrea2@bates.edu

                This LaTeX document was modified: Feb/Mar 2013 by Catherine Buell
						  Feb 2014 by Meredith Greer

\end{comment}






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\centerline{\textbf{\Large{Senior Seminar Proposal}}}

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\noindent \textbf{Name:} %Your name goes here.
Bernhard Riemann

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\noindent \textbf{Major Plus Two:} %Write your majors, minors or GECs.
Mathematics Major, German Minor, Latin GEC.

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\noindent \textbf{Seminar Choice:} %Just name the course that is your first preference.
MATH 495X: Advanced Topics in Number Theory

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\noindent \textbf{Have you taken Math 309 or do you plan to take it concurrently with seminar?} 
%List the courses which are relevant; you don't need to list every mathematics course you have ever taken. 

I have already taken Math 309.

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\section*{Proposal}

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%This is where you would explain, in detail, why you request this senior seminar as your math capstone experience. This should be 1 page in length.

\noindent\textbf{Why is this seminar your first choice?  Please discuss your mathematics interests, the course specifics, scheduling needs, and other reasons for your choice.}


The Advanced Topics in Number Theory course seems like the perfect capstone experience for me.  I took the Number Theory course in the fall of my junior year l and I am eager to learn more about topics like algebraic number theory, p-adic analysis, Diophantine equations, factoring algorithms, Fermat's Last Theorem and gaps between primes.  These topics are related to $\dots$  

$$\vdots$$

Some of these topics were explored in the number theory course; however, I can see how abstract algebra, s21, and even analysis are related to the topics in the seminar.  This course will complement the mathematics that I have seen before and let me use my skills from these courses to understand and work on advanced number theory topics.  I am particularly interested in the complex analysis applications to the distribution of primes $\dots$.

$$\vdots$$

Also, I travel for the skiing team every Friday, so it is not possible for me to take Professor Weber's course on Advances in Electromagnetism which meets on Mondays and Fridays.  





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