ABOUT ME
The study of the mind is one of the most fascinating and multifaceted concerns of mankind. So, in order to obtain effective and useful models explaining and describing its essential features a fully interdisciplinary approach is needed. Besides, mathematics is, among many others, the language in which the laws of nature seem to be written with maximum precision. Therefore, a strong and mature formation in pure and applied mathematics represents a huge advantage for starting this enhancing scientific journey through global laws of the mind.
My current research ranges from commutative algebra, algebraic geometry, model theory, Artificial Mathematical Intelligence (AMI), i.e., the theoretical and practical foundations of software able to solve mathematical conjectures with a human-style output;
the interdisciplinary study on the foundations of mathematics, quantum mechanics (and its relation with ZFC), the philosophical and formal foundations of an experimental science of natural consciousness, the design of global intelligence tests, to the design and formalization of a general theory of mind with a sound mathematical framework.
Moreover, the development of solid and highly effective learning/teaching techniques with a sound cognitive and multidisciplinary background.
Finally, I love to to multi-, trans-, inter- and intradisciplinary science involving and blending topics in pure and applied mathematics, cognitive science, artificial (mathematical) intelligence, computer science, philosophy of mind and AI. I enjoy as well to propose new solutions to fundamental problems in philosophy from a multidisciplinary manner.
LAST ACADEMICAL AFFILIATIONS
GLOBAL RESEARCH INTERESTS
2024 - present
Professor and Multidisciplinary Scientist
Area of Fundamental Sciences
EAFIT University
Medellín, Colombia.
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2019 - 2020; 2022 - 2023
Professor and Scientific Advisor
Research and Innovation Park Parque Tech
University Institution Pascual Bravo
Medellín, Colombia.
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2021 - 2022
General Leader and Researcher
Research and Innovation Park Parque Tech
University Institution Pascual Bravo
Medellín, Colombia.
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2021
General Leader and Researcher
Research and Innovation Park Parque I
University Institution ITM
Medellín, Colombia.
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2017 - 2019
Associated Researcher
Researc18h Groups
Computational Logic and Algebra
Vienna University of Technology
Vienna, Austria.
Commutative Algebra (e.g. The Homological Conjectures, Closure Operations and Forcing Algebras), Algebraic Geometry and its connection with Model theory
Number Theory from an Intra-, Inter and Multidisciplinary Perspective
Cognitively-inspired Foundations for Mathematics
Quantum Mechanics (and its Connections with Zermelo-Fraenkel Set Theory with Choice)
The Interdisciplinary Study of a Global and Mathematically-sound Theory of Mind
General Taxonomy of the Fundamental Cognitive Mechanisms used in Scientific Invention
General Foundations of an Experimental Science of Natural Conciousness
2013 - 2017
Associated Researcher
Artificial Intelligence Group
Institute of Cognitive Sciences
University of Osnabrueck.
Member of the Consorsium
COINVENT (Concept Invention Theory)
European Research Project
2010 - 2013
Affiliated Researcher
Institute of Mathematics
University of Osnabrueck