Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics
Subscribe to RSS - Math Club

Math Club

Math Club - Ram Murty (Queen's University)

Thursday, February 14th, 2019

Time: 5:30 - 6:30 p.m Place: Jeffery Hall 118

Speaker: Ram Murty (Queen's University)

Title: The Basel Problem.

Abstract:  In 1650, Pietro Mengoli posed the problem of explicitly evaluating $$1 + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots $$ and this had come to be known as the Basel problem. The solution is $\pi^2/6$ and it was discovered by Euler almost a century later in 1734, when Euler was 28 years old.

Euler's proof, though correct, was far from rigorous and had to await further developments in complex analysis to put it on a sure footing. We will give a slick proof that uses only ideas from first year calculus.

Math Club - Emine Yildirim (Queen's University)

Thursday, February 7th, 2019

Time: 5:30 - 6:30 p.m Place: Jeffery Hall 118

Speaker: Emine Yildirim (Queen's University)

Title: Cluster Algebras.

Abstract:  We will talk about how a fundamental, simple, and old mathematical notion from the 2nd Century called the “Ptolemy relation” reappears in modern mathematics.

Cluster combinatorics is a very interesting, powerful, and one might even say miraculous technical tool studied in many different areas of mathematics, and even discovered in some areas of physics.

For this talk, we will only focus on cluster combinatorics coming from triangulations of polygons.

Math Club - Peter Taylor (Queen's University)

Thursday, January 31st, 2019

Time: 5:30 - 6:30 p.m Place: Jeffery Hall 118

Speaker: Peter Taylor (Queen's University)

Title: Is Bacon Shakespeare?

Abstract: We will look at a sampling of the cryptographic "proofs" that have been put forward for Francis Bacon's authorship of Shakespeare's plays, and then analyze these using Claude Shannon's fundamental ideas based on the information content of the English language.

Math Club - Mike Roth (Queen's University)

Thursday, January 24th, 2019

Time: 5:30 - 6:30 p.m Place: Jeffery Hall 118

Speaker: Mike Roth (Queen's University)

Title: The primes from analysis.

Abstract: The prime numbers are the multiplicative building blocks of the integers, and as such appear to be creatures of algebra. This talk will explain a way in which the prime numbers arise naturally out of a question in analysis.

Math Club - Jamie Mingo (Queen's University)

Thursday, March 29th, 2018

Time: 5:30 p.m.  Place: Jeffery Hall 118

Speaker: Jamie Mingo (Queen's University)

Title: Paradoxical Probabilities.

Abstract: Since the early days of probability theory there have been paradoxical statements, usually the result of implicit assumptions. The best known example is the Monty Hall problem. In this talk I discuss several examples, in particular the "bigger number paradox".

Math Club - Tianyuan Xu (Queen's University)

Thursday, March 22nd, 2018

Time: 5:30 p.m.  Place: Jeffery Hall 118

Speaker: Tianyuan Xu (Queen's University)

Title: Knot Invariants by Pulling Strings.

Abstract: A knot is a smooth closed curve in the 3-dimensional space, and two knots are equivalent if they can be distorted into each other without cutting or gluing. How can we tell whether two knots are equivalent? For example, is the trefoil equivalent to its mirror image? This turns out to be a highly non-trivial problem, and one approach to solving it is to study so-called knot invariants, quantities associated to knots that remain unchanged under equivalences.

We will discuss a knot invariant called the Kauffman bracket of knots. While knots are inherently 3-dimensional objects, in developing this invariant we will simplify their study to the study of 2-dimensional objects called non-crossing pairings. To achieve this, we will need to literally "pull some strings"!

Math Club - Greg Smith (Queen's University)

Thursday, March 15th, 2018

Time: 5:30 p.m.  Place: Jeffery Hall 118

Speaker: Greg Smith (Queen's University)

Title: Realistic Expectations.

Abstract: How many real roots should we expect a real polynomial to have? In this talk, we will convert this vague question into a well-posed mathematical problem. With the help of geometry, we will also provide the surprisingly beautiful solution.