Events

Maseeh Mathematics + Statistics Colloquium: Representation of integers by binary forms
Friday, February 21, 2020 - 3:15pm

 

 The Maseeh Mathematics and Statistics Colloquium Series*

presents

 

 

 

 

 Shabnam Akhtari, Ph.D.

Department of Mathematics, University of Oregon

 

Representation of integers by binary forms

 

 

 

Abstract:

We will survey some classical facts in Number Theory on approximation of algebraic numbers by rationals. We will talk about how these wonderful results in the field of Diophantine approximation lead to interesting theorems about Diophantine equations. For example, we will see that if F(x,y) is an irreducible binary form with integer coefficients of degree at least 3, then the equation F(x,y) = 1 can have only finitely many solutions in integers x,y. We will conclude by stating more recent results about counting the number of integer solutions of such equations.

 

Bio:

Dr Akhtari’s research interests are in Number Theory, in particular, Diophantine Analysis and the Geometry of Numbers.  Her current research is funded partially by Simons Foundation Collaboration Grants for Mathematicians and partially by the National Science Foundation.    Some of her papers are available on the arXiv .

 

 

 

 

 

 

Friday, February 21, 2020 at 3:15pm

Fariborz Maseeh Hall room B128
1855 SW Broadway

Light refreshments served

 

The faculty host of this speaker is Dr. Derek Garton