University of Calgary

Diophantine equations are one of the oldest, frequently celebrated and most abstract objects in mathematics. They crop up in areas ranging from recreational mathematics and puzzles, to cryptography, error correcting codes, and even in studying the...

We will introduce the Dynamical Mordell-Lang problem by Ghioca and Tucker. After that, we explain the “orbit intersection problem” for linear spaces and semi-abelian varieties. This is joint work with Ghioca. A video of this event is available on...

Over $Q$ there do not exist any non-zero abelian varieties with good reduction everywhere. However, over all but six real quadratic fields they actually do exist. In this talk we determine, for certain small real quadratic fields $F$, the set of...

Machine learning is a powerful computer science technique that can derive knowledge from big data and make predictions/decisions. Since nanometer VLSI design and manufacturing have extremely high complexity and gigantic data, there is great...

Real stable polynomials define real hypersurfaces with special topological structure. These polynomials bound the feasible regions of semidefinite programs and appear in many areas of mathematics, including optimization, combinatorics and...

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...

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...

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...

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)...