University of Lethbridge

We will discuss recent progress towards the twin prime conjecture as well as highlight some recent joint work with Akshaa Vatwani the connects the parity problem with the twin prime conjecture. The talk will be accessible to a wide audience.

Given an elliptic curve E over a number field K. The Frobenius field attached to E at a prime p is the splitting field of the characteristic polynomial of the Frobenius endomorphism acting on the ell-adic Tate module of E (ell a prime different from...

Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester.

We discuss the possibility that the Riemann zeta function has a zero s+iT to the left of the classical zero free region. We will show how the existence of this zero forces the function to have many more zeros in the vicinity of s+iT or/and s+2iT.

Place a checker in some square of an m x n rectangular checkerboard, and glue opposite edges of the checkerboard to make a projective plane. We determine whether the checker can visit all the squares of the checkerboard (without repeating any squares...

In this talk, I will discuss a characterization of linear isometries between certain subspaces of Banach-space valued spaces of continuous functions. The result is motivated by some prior results on isometries between some spaces of vector-valued di...

In this talk we will outline a large class of problems in Analysis (in particular, Matrix Analysis) called the Preserver Problems and then concentrate on a specific preserver problem: study the structure of isometries defined on the algebra A of...

A Cayley object over a finite group H is any relational structure R with point set H which is invariant under the group of right translations. The well-known examples of Cayley objects include Cayley graphs, Cayley maps, group codes etc. The...

An association scheme is a coloring of a complete graph satisfying certain regularity conditions. It is a generalization of groups and has many applications in algebraic combinatorics. Every association scheme yields a special matrix algebra called...

Hardy and Littlewood initiated the study of the 2k-th moments of the Riemann zeta function on the critical line. In 1918 Hardy and Littlewood established an asymptotic formula for the second moment and in 1926 Ingham established an asymptotic formula...