
Functional Conceptual Substratum as a New Cognitive Mechanism for Mathematical Creation.
Joint with Stefan Hetzl. (to appear), PreprintArxiv 2017.

CategoryBased CoGeneration of Seminal Concepts and Results in Algebra and Number Theory:
ContainmentDivision and Goldbach Rings. Joint with Marlon Fulla, Ismael Rivera, Juan D. Vélez and Edißon Gallego. To be published in JP Journal of Algebra, Number Theory and Applications, 2018.

Towards a General Manysorted Formal Framework for Describing Certain kinds of
Legal Statues. Joint with Egil Nordqvist. Under review, Preprint 2017.

Towards an Homological Generalization of the Direct Summand Theorem. Joint with
Juan D. Vélez. Under review, PreprintArxiv 2017.

Artificial CoCreative Generation of the Notion of Topological Group based on the Categorical
Conceptual Blending. Joint with Yoe A. HerreraJaramillo and Florian Geismann. (Under Review), Preprint.

A New MultipleIntelligences Test for Artificial General Intelligence. Joint with Judith Kieninger,
Stephan Schneider and Nico Potyka. Under review. Preprint

ContainmentDivision Rings and New Characterizations of Dedekind Domains.
Joint with Edisson Gallego and Juan D. Vélez. Under review, PreprintArxiv 2017.

A General Version of the Nullstellensatz for Arbitrary Fields. Joint with Edisson Gallego
and Juan D. Vélez. Under Review, Preprint 2017.

On Preservation Properties and an Algebraic Characterization of Some Stronger
Forms of the Noetherian Condition. Joint with Edisson Gallego and Juan D. Vélez. Under review, Preprint 2017.

Twohydrogenic vertically stacked Ga_{1x}Al_xA_s nanoscale rings: simultanous effects of
hydrostatic preasure, aluminum concentration, magnetic field and temperature on the quantum level. Joint with J. D. Castrillón, M. R. Fulla, I. E. Rivera, Y. A. Suaza and J. H. Marin (submitted CompletePreprint). Initial Preprint

Towards an Experimental Science of Natural Consciousness. Joint with F. Becker and R. Garita.
Under review, Preprint 2017.

Theory Blending: Extended Algorithmic Aspects of Examples. Joint with M. Martinez,
A. M. H. AbdelFattah, U. Krumnack, A. Smail, T. Besold, A. Pease, M. Schmidt, M. Guhe and K.U.
Kuehnberger. Annals of Mathematics and Artificial Intelligence, pp. 125, 2016. pdflink

Normality and Related Properties of Forcing Algebras. Joint with Holger Brenner. Com
munications in Algebra. Volume 44, Issue 11, pp. 47694793, 2016. pdf

The Direct Summand Conjecture for some bigenerated extensions and an asymptotic
Version of Koh’s Conjecture. Joint with Edisson Gallego and Juan D. Velez. Beitraege zur Algebra und Geometrie (Contributions in Algebra and Geometry) pp. 116. 2016. OfficialPdfLink

Towards a Computational Framework for FunctionDriven Concept Invention. Joint with
N. Potyka, D. and K.U. Kuehnberger. In Lecture Notes in Artificial Intelligence 9782, Steunebrink et al. (Eds.). Springer International Publishing Switzerland. 2016. pdf

The Role of Blending in mathematical invention. Joint with F. Bou, M. Schorlemmer, J.
Corneli, E. Maclein and A. Smaill and A Pease. Proceedings of the Sixth International Conference on Computational Creativity (ICCC). S. Colton et al., eds. Park City, Utah, June 29July 2, 2015. Publisher: Brigham Young University, Provo, Utah. pp. 5562. 2015. pdf

Conceptual Blending as a metagenerator of mathematical concepts: Prime Ideals
and Dedekind Domains as a Blend. In T. Besold, K.U. Kuehnberger, M. Schorlemmer and Alan Smaill (eds.). Kuehnberger K.U., Koenig P. and Walter, S. (series eds.). Proceedings of the workshop on Computational Creativity, Concept Invention, and General Intelligence 2015, C3GI. Institute of Cognitive Sciences. Publications of the Institute of Cognitive Sciences, Osnabrueck, PICS series Vol. 2, 2015. pdf
Complete Volume pdf.

On the Connectedness of the Spectrum of Forcing Algebras. Joint with Holger Brenner,
Revista Colombiana de Matematicas. Vol 48(2014)1, Pag. 119. pdf
LATEST ARTICLES AND PREPRINTS
“Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things”
Issac Newton
PUBLICATIONS AND TALKS
“The most incomprehensible thing about the universe is that it is comprehensible”
Albert Einstein
BOOK CHAPTERS

General Introduction to the Artificial Mathematical Intelligence Program. In Artificial Mathematical
Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

General Considerations for the New Cognitive Foundations' Program. In Artificial Mathematical
Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Towards the (Cognitive) Reality of Mathematics and the Mathematics of (Cognitive) Reality. In
Artificial Mathematical Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

The Physical Numbers. In Artificial Mathematical Intelligence: Cognitive, Metamathematical,
Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Dathematics. In Artificial Mathematical Intelligence: Cognitive, Metamathematical, Physical and
Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear. ArxivPreprint

Conceptual Blending in Mathematical Creation/Invention. In Artificial Mathematical Intelligence:
Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Formal Analogical Reasoning in Concrete Mathematical Research. In Artificial Mathematical
Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Conceptual Substratum. In Artificial Mathematical Intelligence: Cognitive, Metamathematical,
Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Global Taxonomy of the most Fundamental Cognitive Mechanisms used in Mathematical
Creation/Invention. In Artificial Mathematical Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

MetaModeling of Classic and Modern Mathematical Proofs and Concepts. In Artificial
Mathematical Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

The most Outstanding Challenges towards Global AMI and its Plausible Extensions. In Artificial
Mathematical Intelligence: Cognitive, Metamathematical, Physical and Philosophical Foundations. Danny A. J. GomezRamirez. Series 'Mathematics in Mind', SpringerVerlag. To appear.

Formal Conceptual Blending in the (Co)Invention of (Pure) Mathematics. Joint with Alan
Smaill. In Confalonieri R., Pease A., Schorlemmer M. eds. Concept Invention: Foundations, Implementations, Social Aspects, and Applications. In Cognitive Technologies (Series). Springer, 2018. Link.

Concept Invention in DOL: Evaluating Consistency and Conflict Resolution. Joint with
M. Codescu, F. Neuhaus, T. Mossakoski and O. Kutz. In Confalonieri R., Pease A., Schorlemmer M. eds. Concept Invention: Foundations, Implementations, Social Aspects, and Applications. In Cognitive Technologies (Series). Springer, 2018. Link.
BOOKS & MONOGRAPHS

Artificial Mathematical Intelligence: Cognitive, Metamathematical, Physical and Philosophical
Foundations. Series 'Mathematics in Mind', SpringerVerlag. To appear.

A Modern View of Relativity: A Rigorous Introduction to Mathematicians. Joint with J. D. Vélez,
C. Arias and A. Quintero 2019 PreprintLastVersion. Initial Online Preprint.

The Prime Number Theorem and some Equivalences. Diplom's Monograph, National
University of Colombia, September 2004. In Spanish. pdf

Hilbert's Tenth Problem and some related Questions. Master's Monograph, National
University of Colombia, September 2007. In Spanish. pdf

Homological Conjectures, Closure Operations, Forcing Algebras and Vector Bundles.
Thesis, National University of Colombia in association with the University of Osnabrueck, September 2013. pdf
SELECTED SCIENTIFIC TALKS

"Fundamental Pillars of the Creation of Artificial CoCreative Mathematical Agents of Artificial Mathematical Intelligence". Talk given at the Colloquium of the University of Antioquia. May 24, 2018.

"Dathematics: a MetaIsomorphic Version of Classic Mathematics based on Proper
Classes". Talk given at the Logic Colloquium (Annual European summer meeting of the Association of Symbolic Logic). Stockholm, Sweden. August 14, 2017.

"Cognitivelyinspired Formal Models of Scientific Creation". J6’ Spring School for Studies
on Intelligence and Cognition. The Joint Exploratory Society for Interdisciplinary and
Cognitive Studies (JESICS). Cairo, Egypt. March 30, 2017.

“Towards a General Taxonomy and MetaFormalitazion of the Seminal Cognitive Me
chanisms used in Mathematical Concept Invention”. Talk given at the Collouium of the Theory and Logic Group of the Faculty of Informatics of the Vienna University of Technology. Vienna, Austria. November 23, 2016.

“A cognitivelyInspired Reformulation of MetaMathematics”. Zif Workshop From Compu
tational Creativity To Creativity Science. ZIF Center for Interdisciplinary Research (Bielefeld) in Coo peration with the University of Osnabrueck, Germany. September 22, 2016.

“Towards a Cognitively Inspired Physical Philosophy of Nature”. Talk at the Institute of Phi
losophy of the University of Antioquia, Medellın, Colombia. September 9 of 2016.

“LogicCategorical MetaModels of the Conceptual Creation in Mathematics” (Original
Title: MetaModelos LogicoCategoricos de la Creacion Conceptual en Matematicas). Talk given at the Logic Seminar of the University of Los Andes. Bogota, Colombia. September 25 of 2016.

“Towards the Classification of the Metagenerators of Mathematical Theories: Formal
Conceptual Blending”. Seminar of Logic and Computation. EAFIT University. Medellin. December 16 of 2016.

“The Reality of Mathematics and the Mathematics of Reality” (Original title: La realidad de
las matematicas y las matematicas de la realidad). Public Library Piloto BPP. Conference open to the general public in Medellın. August 24 of 2015.

“Conceptual Blending as a metagenerator of mathematical concepts: Prime Ideals
and Dedekind Domains as a Blend”. Contributing speaker at the 5th World Congress on Universal Logic, UNILOG’15. Istanbul, Turkey. Juni 26 of 2015.

Main Speaker and Organizer of the 1day Workshop ”Toward the Fundamental Princi
ciples of Mathematical Creativity: A Cognitive Perspective” (Original Title: Hacia los Principios Funda
mentales de la Creatividad Matem ́atica: Un Enfoque Cognitivo). National University of Colombia in Medellin. December 12 of 2014.

“Toward a Metamathematization of Mathematical Creation”. Speaker and coorganizer of
the 1day workshop ”Toward the Main Formal Pinciples of Mathematical Creativity”, University of Osnabrueck, October 11 of 2014.

“A Normality Criterion for Forcing Algebras over the Ring of Polynomials”. Gradurierte
Kollege Kombinatorische Strukturen in Algebra und Topologie. University of Osnabrueck, December 18 of 2012.

“On the Connectedness of Forcing Schemes”. Algebra and Geometry Seminar. University of
Basel. Juni 1 of 2012.