Edgar A. Duéñez-Guzmán

Bs. Sc.

Bio

I have a Bachelors in Mathematics from the University of Guanajuato, with a minor in Computer Science and Physics.

Most of the courses I took were in Basic Mathematics, such as Logic and Sets, Set Theory, Analysis, Complex Variable and Differential Topology. Some other courses I took range from Modern Algebra and Modern Geometry to Calculus, Linear Algebra and Game Theory.

In my Physics minor I took classes in Waves, Newtonian Mechanic, Thermodynamics and Relativity, while in Computer Science I had Design of Web Applications, Data Bases, Data Structures, Numerical Methods and Optimization.

My thesis was in Game Theory, with the title Modelos y métodos para realizar particiones justas (Models and methods to achieve Fair Division) and under the supervision of Francisco Sánchez. And as its name implies, is in the field of Fair division. The main result is concerned with the division of an arbitrary set among a finite set of agents.

The main Theorem says that if certain regularity conditions hold, then there is a (constructed) maximal (Pareto optimal) division of the set into N subsets, all with the same measure.

Cool!, If people are willing to state their preferences, then we can cut the cake in a fair way. ;)