Author: ADMIN

Academic Class Schedule — January 2024 The class schedule is subject to changes. Below is the version of the schedule as of November 26, 2023. The document has several pages. If the frame below does not scroll on your device click here.

Read More

The Algebraic Structures in Topology is a conference series that meets every two years in San Juan, Puerto Rico and is partially supported by the National Science Foundation, Purdue University, and the Institute of the Mathematical Sciences of the Americas at the University of Miami. The conferences will feature a variety of events focusing on recent developments in algebraic topology and their applications to geometry, physics, and data science. The next iteration of the series will occur on June 5 – June 14, 2024. This event will have three parts. From June 5th to June 7th it will feature three…

Read More

The world of statistics and data analysis is teeming with models designed to make sense of complex phenomena. Bayesian Model Selection, a powerful paradigm in statistical modeling, offers a principled approach to choosing the most appropriate model among a set of alternatives. In this introductory talk, we will embark on a journey into the introduction of Bayesian Model Selection, exploring its key concepts and principles. We will delve into the foundational notions of Bayes theorem and model comparison using simple examples. If you’re a seasoned a curious beginner, this presentation will provide valuable insights into the art and science of…

Read More

In this talk we introduce different concepts of fractional derivatives. We also present the definition of Mittag-Leffler functions and several of their properties. In addition, we will analyze qualitative properties of the solutions to the fractional (abstract) Cauchy problem for the linear and nonlinear case.

Read More

Historically originated as a sub-field of topology, knot theory is currently an active area of mathematical investigation. Besides having a high independence, the theory also enjoys strong connections with other areas such as combinatorics, statistical mechanics, and algebra. In this talk we are going to introduce the first ideas of the theory focusing on the notion of invariants of links. First, we quickly take a look at the historical origins of the theory. Then, we explore the bracket polynomial. Finally, we see how from the bracket polynomial a homology theory can be constructed.

Read More