University of Calgary

For elliptic curves, the Mordell-Weil Theorem allows to relate bisections (pre-images of the multiplication by 2) in the group of points of a curve defined over F_q and the quadratic reciprocity of some elements in the field F_q, which can be used to...

Mathematics pervades all the sciences, but it also lies at the heart of a number of fields in the humanities. Two such important subjects which go back to ancient times are linguistics and music. In fact, many of the modern mathematical tools used in...

Let F be a number field. The Arakelov class group Pic_0 F of F is an analog to the Picard group of a curve. This group provides us the information of F such as the class number h_F, the class group Cl(F) and the regulator R_F. In this talk, we will...

Hyperelliptic curves of low genus are good candidates for curve-based cryptography. Hyperelliptic curves comes in two models: imaginary and real. The existence of two points at infinity in real models makes them more complicated than their imaginary...

The use of integer variables naturally occurs in Second Order Conic Optimization (SOCO) problems, just as in linear and nonlinear optimization, thus the need for dedicated Mixed Integer SOCO (MISOCO) algorithms and software is evident. This talk...

This talk discusses work of a multidisciplinary collaboration between the Department of Industrial and Operations Engineering and the Kellogg Eye Institute at the University of Michigan to develop a forecasting tool that assists eye doctors by (a)...

How does mathematical knowledge grow? According to an influential formulation due to philosopher Ernest Nagel, when a scientific theory "reduces" another, the reduced theory is deductively subsumed under the reducing theory: thus for example...

In this talk I will explain basic ideas concerning fractional Laplacians (in particular, their relation with Lévy flights in Probability) and I will present the essential tools to treat nonlinear equations involving fractional Laplacians and other...

We apply a general framework to analyze the influence of system load on service times in queueing systems to EMS systems. The framework unifies previous results and ties them to possible future studies to help empirical and analytical researchers to...