The Arithmetics Statistic graduate seminar, organized by Gagan Sekhon and Jamie Weigandt , meets Mondays from 2 to 2:50 p.m.
The current tentative schedule is below.
Date 
Speaker 
Title 
February 7th 


February 14th 
Daniel Kane 
A problem related to the ABC conjecture 
February 21st 
NO MEETING 
Washington's Birthday 
February 28th 


March 7th 
Jamie Weigandt 
Emperical Evidence for an Arithmetic Analog of Nevanlinna's Five Value Theorem 
March 14th 
Kevin Wilson 
Elliptic curves of arbitrarily large rank( Over Function Fields) 
March 21st 


March 28th 
Rishikesh 
Lfunctions in SAGE 
April 4th 
Shuntaro Yamagishi 

April 11th 
NO MEETING 
Workshop 
April 18th 
Matthew Alderson 

April 25th 


May 2nd 


May 9th 


May 16th 


Abstracts
 February 14th, Daniel Kane: "A problem related to the ABC conjecture "
 Abstract: The ABC conjecture says roughly that the equation A+B=C has no solutions among highly divisible relatively prime positive integers A,B,C. If we weaken what is meant by "highly divisible", there are solutions and we instead find conjectures on the asymptotic number of such solutions. In this talk we discuss techniques for extending the range in which these conjectures are known to be true.
 March 7th, Jamie Weigandt: "Empirical Evidence for an Arithmetic Analogue of Nevanlinna's Five Value Theorem"
 Abstract: Nevanlinna's five value theorem says that two meromorphic functions which take on five values at the same places must be identical. We discuss the ErdosWoods conjecture, an arithmetic analogue of this theorem which arose from questions about divisibility asked by P. Erdos and questions about definability asked by J. Robinson. We discuss Langevin's proof that this conjecture would follow from the ABC conjecture and its connections with the arithmetic of elliptic curves. Using the arithmetic data gathered by the [email protected] project, we give effective versions of Langevin's results and extend the related sequence A087914 on the OEIS.
 March 14th, Kevin Wilson: "Elliptic curves of arbitrarily large rank"
 Subtitle: Over Function Fields
 Abstract: Ulrich constructed a family of elliptic curves over function fields which (provably!) attain arbitrarily large rank. I'll go over his construction and the facts about function fields which make proving such statements "easier".
 March 28, Rishikesh: "Computing Lfunctions in SAGE"
 Abstract: I will introduce a new LFunction class in SAGE, and give several examples on how to use it to compute Lfunctions.
 April 4, Shuntaro Yamagishi: "Moment Polynomials for the Riemann Zeta Function".
 Abstract: I will explain how we calculated the coefficients of moment polynomials for the Riemann zeta function for k = 4,5.., 13 and numerically tested them against the moment polynomial conjecture.