Hello! 
I am Nic Fellini

I am a PhD student in the Algebra and Number Theory group at Queen's University working with Professor  Ram Murty.

My research interests broadly fall into two themes: the  analytic and arithmetic properties of L-functions and  obstructions that occur in Number Theory. Some specific problems I am interested in are:

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  Artin's holomorphy conjecture.
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  Applications of the class number formula.
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  p-adic methods in analytic number theory.
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  The Tate-Shafarevich group and failure of local​–global principles.
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  The parity problem in sieve theory.  In particular, how it arises and methods to overcome it.