Andrew Sutherland - Massachusetts Institute of Technology - November 7th 2019
Principal Research Scientist, Department of Mathematics
3:15 p.m. refreshments | 3:30 p.m. talk
Sum of Three Cubes
In 1953 the British mathematician Louis Mordell famously asked if one can write the number 3 as a sum of three cubes in any way other than the obvious two solutions 1^3+1^3+1^3 and 4^3+4^3 -5^3. Over the next sixty-six years many mathematicians attempted to answer Mordell's question, and while they failed to find any new solutions for 3, they were eventually able to determine all positive integers k ≤ 100 that can be expressed as a sum of three cubes, except for k = 42.
In this talk I will present joint work with Andrew Booker that used Charity Engine's crowd-sourced compute grid to affirmatively answer Mordell's question:
569936821221962380720^3 - 569936821113563493509^3 -472715493453327032^3 = 3;
as well as settling the case k = 42. I will also discuss a conjecture of Heath-Brown that predicts the existence of infinitely many more solutions and explains why they are so difficult to find.
Lin Wang - University of Jinan - October 28th 2019
Associate Professor, Shandong Provincial Key Laboratory of Network Based Intelligent Computing
2:45 p.m. refreshments | 3:00 p.m. talk
Evolutionary Computation and Evolving Reverse Engineering-based Scientific ModelingModeling enables scientists to compare observations with theory, extract physical parameters, and predict the behaviors of system. Currently, for modeling many systems, traditional first-principle methods are not satisfactory in comparison with the observations. For example, current models of cement material fall short of explaining its hydration process. The evolving reverse engineering-based scientific modeling brings hope for discovering knowledge, and distilling natural laws. In this talk, we will introduce evolutionary computation and some theoretical contributions. Then, we will exhibit some real-world examples of evolving reverse modeling.
Anita Layton - University of Waterloo - September 24th 2019
Associate Dean, Research and International, Mathematics
Professor of Applied Mathematics, Pharmacy, and Biology
Chair, Research Equity, Diversity, and Inclusion Council
2:20 p.m. refreshments | 2:30 p.m. talk
Mathematical Models and Their Applications in Diabetes, Hypertension, and Autism
Computational modelling can be used to reveal insights into the mechanisms of new drugs and to develop new diagnostic tools. Here I will discuss three major diseases: diabetes, hypertension, and autism. I will talk about how we construct models to simulate new diabetes drugs, to understand sex differences in hypertension, and to develop a new approach for diagnosing autism in children.
Leland McInnes - Tutte Institute - March 21st 2019
Research Mathematician and Data Scientist at Tutte Institute for Mathematics and Computing
Topological Data Analysis is a relatively new field of research that seeks to bring powerful tools from algebraic topology to bear on practical problems in data science (where statistics has been the more traditional toolset). This talk, by Dr. Leland McInnes from the Tutte Institute for Mathematics and Computing, will begin by using topological methods to construct a new approach to dimension reduction, and then build out the theory to provide new approaches to clustering and anomaly detection. Our goal is to provide a unified topological approach to unsupervised learning.
Tim Merlis - McGill University - Febuary 25th 2019
Associate Professor in Atmospheric and Oceanic Sciences at McGill University
Canadian Research Chair (Tier 2) in Atmospheric and Climate Dynamics.
Member of the McGill Space Institute
Monday 25th February, 2019
3:30pm in MC 5417
refreshments at 3:15pm
High-resolution climate simulations to understand how global warming affects hurricanes
In the last decade, global climate models have achieved sufficiently high resolution that they can simulate hurricanes, one of the most destructive forms of extreme weather. This new capability has been deployed to assess how human-caused global warming affects hurricanes. In this seminar, I will provide an overview of the technique and highlight results of my research that use simplified boundary conditions to understand the sensitivities of hurricanes to climate change.