LECTURES AND TALKS GIVEN/ORGANIZED AT NATIONAL AND INTERNATIONAL EVENTS
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"Hilbert's tenth problem and some related problems". ALTENCOA 02, Encuentro Álgebra, Teoría de Números, Combinatoria y Aplicaciones, Universidad del Cauca and Grupo Altenua, Popayan, July 10-14, 2006.
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"A Normality Criterion for Forcing Algebras over the Ring of Polynomials in a Perfect Field". Colloquium of the School of Mathematics of the Universidad Nacional de Colombia (Sede Medellín), March 4, 2011.
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"Basic Properties of Forcing Algebras". Seminar Graduiertenkolleg Kombinatorische Strukturen in Algebra und Topologie. University of Osnabrück, Germany, October 18, 2011. "On the Connectivity of the Prime Spectrum of certain Forcing Algebras". Colloquium of the School of Mathematics of the Universidad Nacional de Colombia (Sede Medellín), March 5, 2012.
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"Connectedness of Forcing Schemes: A Criterion on dip-s and on their local nature". CIMPA- UNESCO MESR Research School. MICINN-COLOMBIA Algebraic Structures, their Representations and applications in Geometry and non-associative models. Cartagena, March 11-16, 2012.
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"On the Connectedness of Forcing Schemes". Geometry and Algebra Seminar. University of Basilia, Switzerland, June 1, 2012.
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"A normality Criterion for Forcing Algebras over the ring of Polynomials over a Perfect Field". Seminar Graduiertenkolleg Kombinatorische Strukturen in Algebra und Topologie. University of Osnabrück, Germany, December 18, 2012.
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"Some Seminal Foundations on Computational Models for Cognitive Mechanisms". Inaugural Meeting, COINVENT Project, IIIA (Artificial Intelligence Research Institute), Barcelona, Spain, October 8, 2013.
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"Toward a Meta-mathematization of Mathematical Creation". Lecturer and co-organizer (together with junior professor Dr. Markus Spitzweck) of the Colloquium "Toward the Main Formal Pinciples of Mathematical Creativity", University of Osnabrück, October 11, 2014.
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Organizer and main speaker of the workshop "Towards the Fundamental Principles of Mathematical Creativity: A Cognitive Approach. National University of Colombia (Medellin campus). December 12, 2014.
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Participant and lecturer at the Falling Walls Lab Osnabrück with the talk "Falling the Walls of local Conceptualizations of Human Being". Event organized by the University of Osnabrück, the Falling Wall Foundation, AtKearney, FESTO and DIL (Deutsches Institut für Lebensmitteltechnick e. V.). Osnabrück, July 14, 2014.
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"How much pure mathematics is algorithmic? Towards the construction of an Essentially Universal 'Demonstrator' of Mathematical Conjectures."). Colloquium of the School of Mathematics. National University of Colombia (Medellín branch. December 19, 2014.
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"Conceptual Blending as a meta-generator of mathematical concepts: Prime Ideals and Dedekind Domains as a Blend". Lecturer at the Fifth World Congress on Universal Logic, UNILOG'15. Istanbul, Turkey. June 26, 2015.
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"How does our mind create new mathematical concepts? Towards a meta-formalization of mathematical creativity". Colloquium of the School of Mathematics of the National University of Colombia, Medellin. August 24, 2015.
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“Towards a Universal Modeling of Mathematical Creation.” Instituto Tecnológico Metropolitano ITM. Medellín, August 24, 2015.
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"The reality of mathematics and the mathematics of reality". Pilot Public Library. Conference addressed to the general public in the city of Medellín, August 24, 2015.
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"Towards the classification of meta-generators of mathematical theories: Formal Conceptual Fusion". Seminar on Logic and Computation. Eafit University. Medellín, December 16, 2015.
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"Creativity, Conceptual Fusion, mathematics, consciousness, human and artificial intelligence". Faculty of teaching in mathematics and physics of Unillanos University. Villavicencio, December 18, 2015.
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"Logical-Categorical Meta-models of Conceptual Creation in Mathematics." Talk given at the Logic Seminar of the Universidad de los Andes, Bogotá, Colombia, August 25, 2016.
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"Towards a Computational and Cognitively Inspired Metatheory for the Universal Logical Formalization of Decidable Mathematics" Institutional Colloquium in Mathematics at the University of Antioquia, August 29, 2016.
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"Meta-Mathematical Models of Basic Creative Mechanisms used in Mathematical Research." Department of Mathematics, Universidad Nacional de Colombia, Manizales, Colombia, September 8, 2016.
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" Towards Physical and Cognitively Inspired Natural Philosophy." Institute of Philosophy, University of Antioquia, Medellín, Colombia, September 9, 2016.
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"A Cognitively-Inspired Reformulation of Meta-mathematics." Zif Workshop "From Computational Creativity to Creativity Science." (Translation: A Cognitively-Inspired Reformulation of Meta-mathematics) Zif Interdisciplinary Research Center (in cooperation with the University of Osnabrück), Bielefeld, Germany, September 22, 2016.
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"Towards a General Taxonomy and Meta-Formalization of the Seminal Cognitive Mechanisms used in Mathematical Concept formation". Colloquium of the Research Group "Logic and Theory" of the Faculty of Informatics, Vienna University of Technology, Vienna, Austria, November 23, 2016.
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"Cognitively-inspired Formal Models of Scientific Creation". J6' Spring School in Intelligence and Cognition Studies, Cairo, Egypt, March 30, 2017.
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"Dathematics: a Meta-Isomorphic Version of Classic Mathematics based on Proper Classes. (Translation: Datemathematics: A Meta-Isomorphic Version of Classic Mathematics based on Proper Classes). Logic Colloquium: Annual Summer Meeting of the Association for Symbolic Logic, Stockholm, Sweden, August 14, 2017.
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"Towards Mathematical Artificial Intelligence". Seminar of the IMAGE Research Group of the Faculty of Computer Science, Universidad de Los Andes, Bogotá, Colombia, October 14, 2017.
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"Functional Conceptual Substratum as a New Cognitive Mechanism for Mathematical Creation/Invention: Towards Artificial Mathematical Intelligence". Institutional Colloquium of the School of Mathematics, Universidad de Antioquia, Medellín, Colombia, September 26, 2017.
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"Datematics and Mathematical Artificial Intelligence". Institutional Colloquium of the School of Mathematics of the National University of Colombia, Medellín, September 27, 2017.
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"Mathematical Artificial Intelligence." Plenary lecture given at the XIII International Symposium on Energies, at the Expotecnológica Conference, Medellín, Colombia, September 28, 2017.
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"Artificial Mathematical Intelligence and the Foundations of Cognitive Metamathematics." (Trad: Artificial Mathematical Intelligence and the Foundations of Cognitive Metamathematics). Lecture delivered at the regular seminar of the Vienna Institute for Complex Systems Science SCH, Vienna, Austria, August 24, 2018.
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"Fundamental Pillars for the creation of Co-creative Mathematical Agents or Mathematical Artificial Intelligence". Lecture given at the Colloquium of the School of Mathematics of the University of Antioquia, Colombia, May 24, 2019.
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Keynote Organizer and Moderator of the Podium 'Artificial Intelligence and the Future of Business', Vienna International Business Club, Expat Vienna Business Agency, February 12, 2019.
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"How the fulfillment of artificial mathematical intelligence will shift the working purpose of formal researchers: A meta-analysis by means of the Human Values and Control's (Asilomar) principles". 3th Curriculum Workshop of the (European) Human Brain Project, Graz, Austria. September 26-27, 2019.
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"Metamathematical Cognitively-inspired Modelling of highly Sophisticated Mathematical Notions based on Categorical Conceptual Blending: Topological Groups". Together with Yoe A. Herrera and F. Gaussman. 1st International Covalente Biennial, Universidad Francisco de Paula Santander. Cúcuta, Colombia. November 28-30, 2019.
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"On Preservation Properties and a Special Algebraic Characterization of Some Stronger Forms of the Noetherian Condition". Together with E. Gallego and J. D. Vélez. 1st International Covalent Biennial, University Francisco de Paula Santander. Cúcuta, Colombia. November 28- 30, 2019.
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"Fundamentals of Human and Artificial Intelligence with an Introduction to Machine Learning". Keynote speaker (with Alex Narvaes) intensive one-week Bootcamp. Co-organized by Universidad Católica del Norte, Cedalc and ARMAINTE, Santa Rosa de Osos, Antioquia, Colombia. December 9-13, 2019.
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"Empowerment and Cognitive Mentoring as a Fundamental Viral Tool to Renew the Pedagogical Paradigm". Virtual Conference given at MOVA (El Centro de Innovación del Maestro), Medellín, May 29, 2020.
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"On the Multidisciplinary Foundations of Mathematical Artificial Intelligence". Cycle of 12 Virtual Conferences dictated with the Cooperation of Continuing Education and Extension of the I. U. Pascual Bravo, Medellin, May-July 2020.
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"Some Fundamental Principles of Mentoring and Cognitive Empowerment for a Total Improvement of Mental Performance". Cycle of 7 Virtual Conferences dictated with the Cooperation of Continuing Education and Extension of the I. U. Pascual Bravo, Medellin, May- July 2020.
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"Cognitive Guidelines to achieve Inspiring Levels of Teaching and Learning". Conference given to 512 teachers of the Institución Universitaria Pascual Bravo as part of the Teaching Qualification Course "Teaching Sequences integrated to the CT". June 9, 2020.
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"Mental Laws and Fundamental Cognitive Pillars to Inspire in the Teaching-Learning Process". Conference given in the Official Virtual Channel of the Secretary of Education of Medellin. August 26, 2020.
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"The Being Component in the Being+STEM Approach". Invited panelist at the academic podium of the Secretary of Education of Medellín (Facebook Live). Together with Gianny Rozo. May 18, 2021.
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"New Global Trends in Cognitively Inspired Artificial Intelligence and its Optimal Ethical Guidelines: Mathematical Artificial Intelligence." II Virtual International Congress on Education, Plenary Conference, September 10, 2021.
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"A New Holistic Test for General Artificial Intelligence based on Multiple Intelligences." II Virtual International Congress on Education, Conference, September 11, 2021.
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"The Role of ICT to respond to the Challenges of the Educational System in Pandemic Times." XIII National Congress on Research Training for Preschool, Elementary and Middle School Teachers and Students. October 28 and 29, 2021.
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"On the Surprising Connections between (Percussive) Music, Cognitive Science and (Meta)Mathematics." Ser + STEM International Forum. November 4, 2021. Secretary of Education of Medellín.
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"On the New Cognitive-Computational Foundations of Mathematics and Physics Program in the Context of Mathematical Artificial Intelligence." Talk given at the Research Semillero de Investigación en Física de Parículas Elementales y Cosmología of the Universidad del Atlántico, Barranquilla, May 23, 2022.
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"Conceptual Computing as a New Research Paradigm for Mathematical Artificial Intelligence". Second Conference on Applied and Industrial Mathematics (MAPI 2), Colombian Mathematical Society. Medellín, June 8-10, 2022.
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"The (Qualitative) Potential Applications of Artificial Mathematical Intelligence to the Deep Underground Neutrino Experiment." Neutrinos in Colombia NUCO 2022. CONHEP, Medellín, July 27-29, 2022.
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"On The Multidisciplinary Foundations of Artificial Mathematical Intelligence." Lecture delivered at the Machine Learning Club of the University (RWTH) of Aachen, Germany. November 10, 2022.
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"On The Global Foundational Framework of Cognitive-Computational Metamathematics." Lecture delivered for the Computational Vision Group of the Institute for Cognitive Science, University of Osnabrueck, Germany. November 14, 2022.
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"On The Multidisciplinary Foundations of Cognitive-Computational Metamathematics." Lecture delivered for the Neuro-Robotics Group of the University of Chemnitz, Germany. November 17, 2022.
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"What is ChatGPT: Truths, Myths, Curiosities and Risks of this type of technology". Invited panelist of the Science Outreach Initiative "Ciencia Café Pa' Sumercé". Bogotá, Colombia. March 2, 2023.
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“On the Foundational Pillars of Cognitive-Computational Metamathematics or Artificial Mathematical Intelligence. Mathematical Colloquium Los Andes University. May 8, 2023.