Danny Arlen de Jesús Gómez Ramírez

Publicaciones/Publications

Research) Book Chapters:  

“A Structural and Constructive Cognitive-ontological Critique of Certain Seminal Aspects of the Scientific Endeavor during the early 21st Century” (original in Spanish). In Materiales y ensayos de filosofía de la ciencia y del conocimiento. López-López A. ed. Editorial Bonaventuriana, (2024). To appear.

Public Transport Passenger's Density Estimation Tool for Supporting Policy Responses for Covid-19. Joint work with Nilton A. Henao-Calle, Mateo Arroyave-Quintero and Semaria Ruiz- Alvarez. In Decisions Sciences for Covid-19. In International Series in Operations Research & Management Science. Springer, (2022). https://link.springer.com/chapter/10.1007/978-3-030-87019-5_16 

A Hybrid Therapeutic Framework based on Chat bots and Classic Psychotherapy for Mental Issues raised by the Extended Pandemic originated by COVID-19. Joint work with Estefanía Hernandez-Carvajal. In Studies in Systems, Decisions and Control: Special Version: Artificial Intelligence for COVID-19. Springer, (2021). https://rd.springer.com/chapter/10.1007/978-3-030-69744-0_27 

Some Pragmatic Prevention's Guidelines regarding SARS-CoV-2 and COVID-19 in Latin America inspired by Mixed Machine Learning Techniques and Artificial Mathematical Intelligence. Case Study: Colombia. Joint work with Yoe Herrera, Alex Ardila-Garcia and Johanna Ortega. In Technological and Industrial Applications Associated with Intelligent Logistics. In Lecture Notes in Intelligent Transportation and Logistics series. Springer. (2021). Arxiv Preprint: https://arxiv.org/pdf/2105.12213.pdf. Official Version: https://rd.springer.com/chapter/10.1007/978-3-030-68655-0_26 

Semantic and Morpho-syntactic Prevention Guidelines for COVID-19 based on Cognitively Inspired Artificial Intelligence and Data Mining. Joint work with Yoe Herrera, Alex Ardila- Garcia and Johanna Ortega. In Studies in Systems, Decisions and Control: Special Version: Artificial Intelligence for COVID-19. Springer, (2021). https://rd.springer.com/chapter/10.1007/978-3-030-69744-0_28 

On the Anti-pragmatism of Pure Mathematics at the beginning of the 21st Century in the light of Mathematical Artificial Intelligence (translation, original chapter in Spanish) In A. F. Suarez & Cesar A. Guerra, Ed. Mathesis y Logoi: Contribuciones a la filosofía de la lógica y la filosofía de las matemáticas. Editorial Bonaventuriana, (2022). https://www.libreriadelau.com/bw-mathesis-y-logoi-contribuciones-a-la-filosofia-de-la-logica- y-la-filosofia-de-la-matematica-editorial-bonaventuriano-matematica/p   

General Introduction to the Artificial Mathematical Intelligence Program. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foun- dations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_1 

Some Basic Technical (Meta)Mathematical Considerations for Cognitive Metamathematics. In Artificial Math-ematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_2 

General Considerations for the New Cognitive Foundations' Program. In Artificial Math- ematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_3 

Towards the (Cognitive) Reality of Mathematics and the Mathematics of (Cognitive) Reality. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_4 

The Physical Numbers. In Artificial Mathematical Intelligence: Philosophical, Metamathe- matical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_5 

Dathematics: A Meta-Isomorphic Version of "Standard" Mathematics based of Proper Classes. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_6. Preprint of an initial version: https://arxiv.org/pdf/1804.02439.pdf 

Conceptual Blending in Mathematical Creation/Invention. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A.
J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_7 
o    Formal Analogical Reasoning in Concrete Mathematical Research. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A.
J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_8 
o    Conceptual Substratum. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_9 

(Initial)    Global    Taxonomy    of   the   most   Fundamental   Cognitive    (Metamathematical) Mechanisms used in Mathematical Creation/Invention. In Artificial Mathematical Intelligence: Philosophical, Metamathematical, Physical and Cognitive Foundations. Danny A. J. Gomez- Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_10 

Meta-Modeling of Classic and Modern Mathematical Proofs and Concepts. In Artificial Mathematical    Intelligence:    Philosophical,    Metamathematical,    Physical    and   Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_11 

The most Outstanding Challenges towards Global AMI and its Plausible Extensions. In Artificial Mathematical    Intelligence:    Philosophical,    Metamathematical,    Physical    and   Cognitive Foundations. Danny A. J. Gomez-Ramirez. Springer International Publishing, Cham (2020). https://link.springer.com/chapter/10.1007/978-3-030-50273-7_12 

A Multidisciplinary Approach towards the Formalization of the Local Ontological-Natural Substratum of Mathematical Structures (translation, original chapter in Spanish). Together with J. P. Cardona-Buitrago. In A. F. Suarez, Ed. Logos y Filosofía: Temas y Debates Contemporaneos. In Series Señales, Editorial Bonaventuriana, (2020). http://www.editorialbonaventuriana.usb.edu.co/index.php/libros/inv/item/12-filosofia/532- logos-y-filosofia 

Formal Conceptual Blending in the (Co-)Invention of Pure Mathematics. Joint paper with Alan Smaill. In Confalonieri R., Pease A., Schorlemmer M. eds. Concept Invention: Foundations, Implementations. In Series: Social Aspects and Applications. In Cognitive Technologies. Springer (2018). https://rd.springer.com/book/10.1007%2F978-3-319-65602-1 

Conceptual Blending in DOL, Evaluating Consistency, Conflict Resolution. Joint work with Michael Codescu, Fabian Neubaus, Till Mossakowski and Oliver Kutz. In Confalonieri R., Pease A., Schorlemmer M. eds. Concept Invention: Foundations, Implementations, Social Aspects and Applications. In Series: Cognitive Technologies. Springer (2018). https://rd.springer.com/book/10.1007%2F978-3-319-65602-1 

Towards a Computational Framework for Function-Driven Concept Invention. Joint with Nico Potyka, D. and Kai-Uwe. Kühnberger. In Lecture Notes in Artificial Intelligence 9782, Steunebrink et al. (Eds.). Springer, Cham (2016).
https://link.springer.com/chapter/10.1007/978-3-319-41649-6_21 

Articles in specialized Journals: 

​On the Infinitely Generated Locus of Frobenius Algebras of Rings of Prime Characteristic. Joint work with Alberto F. Boix and Santiago Zarzuela. Acta Mathematica Vietnamica. (2023). https://link.springer.com/article/10.1007/s40306-023-00515-3. Arxiv Preprint: https://arxiv.org/pdf/2203.08511.pdf 

Robust Control Approach for a Decision-Making System of a Shared EVs Aggregator. Joint work with Semaria Ruiz and Manuel Ospina-Alarcón. International Journal of Renewable Energy Research 13, 4, December (2023), https://www.ijrer.org/ijrer/index.php/ijrer/article/view/14238 

Optimal Management Strategy for a shared EVs Aggregator participating in Electricity and Frequency Regulation Reserve Markets. Joint work with Semaria Ruíz-Álvarez. Technology and Economics of Smart Grids and Sustainable Energies 7, 29 (2022). https://link.springer.com/article/10.1007/s40866-022-00153-y 

On the Topological Structure of the (Non-)Finitely-Generated Locus of Frobenius Algebras emerging from Stanley-Reisner Rings. Joint work with Edisson Gallego, Juan P. Hernandez and Sergio Molina, (2022). DOI: 10.1080/00927872.2022. https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2099885. Arxiv Preprint: https://arxiv.org/pdf/2105.04782.pdf 

Conceptual Computation as a Paradigm-Shifting Technique in (Theoretical) Physics and (Computational) Mathematics. Together with Yoe A. Herrera. Journal of Physics: Conference Series, Vol. 1672, 012015, (2020). https://iopscience.iop.org/article/10.1088/1742-6596/1672/1/012015/pdf 

On the Elementary Preservation of the Noetherian Condition and its Potential Applications on Computational Physics. Together with Edisson Gallego and Juan D. Vélez, Journal of Physics: Conference Series. Vol. 1645, 012005, (2020). Online Version: https://iopscience.iop.org/article/10.1088/1742-6596/1645/1/012005/pdf 

Towards a Homological Generalization of the Direct Summand Theorem, together with Juan D. Vélez. Open Mathematics, 18, 1352-1364 (2020). Preprint at Arxiv.org https://arxiv.org/pdf/1707.09936.pdf    

Artificially Hydrogen Molecule in vertically stacked Ga1- xAlxAs Nanoscale Rings: Structural and External Probes Effects in their Quantum Levels. Joint work with J. D. Castrillón, J. L. Palacio, I. E. Rivera, Y. A. Suaza, M. R. Fulla and J. H. Marín. Physica E: Low-Dimensional Systems and Nanostructures, 117, 113765 (2020). https://www.sciencedirect.com/science/article/abs/pii/S1386947719311798 

Category-based Co-Generation of Basic Results and Concepts in Algebra and Number Theory: Containment-Division and Goldbach Rings. Joint work with Marlon Fulla, Ismael Rivera, Juan D. Vélez and Edisson Gallego, JP Journal of Algebra, Number Theory and Applica- tions Vol 40(5) pp. 887-901 (2018). http://www.pphmj.com/abstract/12149.htm 
A General Version of the Nullstellensatz for Arbitrary Fields. Joint work with Juan D. Vélez and Edisson Gallego, Open Mathematics 17, 556-558 (2018). Arxiv preprint https://arxiv.org/pdf/1708.04463.pdf   

On Positive-Characteristic Semi-parametric Local Uniform Reductions of Varieties over Finitely Generated $Q$-algebras. Joint work with Edisson Gallego and Juan D. Vélez, Results in Mathematics, Vol. 72(1), Pages 937-945, (2017). https://link.springer.com/content/pdf/10.1007%2Fs00025-017-0691-7.pdf 

Theory Blending: Extended Algorithmic Aspects and Examples. Joint work with M. Martinez, A. M. H. Abdel-Fattah, U. Krumnack, A. Smaill, T. Besold, A. Pease, M. Guhe and K.-U. Kühnberger. Annals of Mathematics and Artificial Intelligence, Vol. 80(1), pages 65-89, (2016).

http://link.springer.com/article/10.1007/s10472-016-9505-y 
Normality and Related Properties of Forcing Algebras. Joint paper with Holger Brenner, Communications in Algebra Vol. 44 (11) pp. 4769-4793, (2016). 

http://www.tandfonline.com/eprint/jp4prBdiQykbGbhrc4FE/full  Arxiv version: https://arxiv.org/pdf/1707.08605.pdf 

The Direct Summand Conjecture for some bi-generated extensions and a non-standard Version of Koh's Conjecture. Joint work with E. Gallego and J. D. Vélez, Beiträge in Algebra und Geometrie, (Communications in Algebra and Geometry), (2016).  http://link.springer.com/article/10.1007/s13366-015-0277-z. Arxiv version: https://arxiv.org/pdf/1708.03393.pdf   

On the connectedness of the Spectrum of Forcing Algebras. Joint work with Holger Brenner, Revista Colombiana de Matemáticas, Vol 48-1, Pag. 1-19, (2014).  http://www.scielo.org.co/pdf/rcm/v48n1/v48n1a01.pdf   
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