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A list of all the posts and pages found on the site. For you robots out there, there is an XML version available for digesting as well.
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Posts
Poems I
Published:
Preface
These poems were originally written in Spanish, and then translated to Spanish. Despite Goethe known remark that
poetry is what is lost in translation,
Why do I write instead of… nothing?
Published:
Language limitations
Humans often struggle to communicate their aesthetic impressions of something they have read, seen, heard, or played. This difficulty is a manifestation of the limitations of language itself: as a system that reflects real-world events, language frequently lacks the means to express feelings, or even more elevated forms of contemplative experience that have no widely recognized name in any language.
Rebellion against language
This goes in line with Ludwig Wittgenstein’s ideas of language, which I mostly share. Nevertheless, where Wittgenstein stated that
whereof one cannot speak, thereof one must be silent,
publications
About the Restricted Three-Body Problem with the Schwarzschild–de Sitter Potential
Published in Nonlinear Dynamics and Systems Theory, 2021
We analyze the restricted three-body problem in Schwarzschild–de Sitter spacetime. Equations of motion are derived from the metric, equilibrium points are characterized, and orbital stability is established through eigenvalue analysis.
Recommended citation: Arredondo, J. A., & Jimenez-Cardenas, J. (2021). "About the Restricted Three-Body Problem with the Schwarzschild–de Sitter Potential." Nonlinear Dynamics and Systems Theory, 21(2).
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Elements of Sub-Riemannian Geometry and Its Applications
Published in Master’s Thesis, Universidad de los Andes, 2022
This master’s thesis studies fundamental aspects of sub-Riemannian geometry and explores its applications to geometric control and dynamical systems. The work develops theoretical tools and illustrates how constrained geometric structures arise in applied mathematical settings.
Recommended citation: Jimenez-Cardenas, J. (2022). Elements of Sub-Riemannian Geometry and Its Applications. Master’s thesis, Universidad de los Andes.
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Dynamic Competition for Customer Memberships
Published in Journal of Economics & Management Strategy, 2024
We study a two-period membership market in which firms choose between short-term and long-term contracts. Short-term memberships emerge in equilibrium under general conditions, even when firms can price discriminate or offer switching incentives.
Recommended citation: Chica, C., Jimenez-Cardenas, J., & Tamayo, J. (2024). "Dynamic Competition for Customer Memberships." Journal of Economics & Management Strategy.
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Generalists: On the Organizational Benefits of Broad Skilling
Published in Working Paper, 2025
We study optimal task allocation when task importance is stochastic. High uncertainty favors generalized skill allocation, while specialization is reserved for tasks with the highest expected productivity.
Recommended citation: Adhvaryu, A., Jimenez-Cardenas, J., Nyshadham, A., & Tamayo, J. (2025). "Generalists: On the Organizational Benefits of Broad Skilling." Working paper.
AI, Knowledge Hierarchies, and the Future of Organizational Design
Published in Working Paper, 2025
We study how artificial intelligence reshapes hierarchical organizations by altering delegation, expertise distribution, and decision authority. AI may complement or substitute human problem-solving depending on task structure.
Recommended citation: Ramos, A., Jimenez-Cardenas, J., & Tamayo, J. (2025). "AI, Knowledge Hierarchies, and the Future of Organizational Design." Working paper.
The Endogenous Formation of Corporate Boundaries: Alignment, Heterogeneity, and Synergies in Multibusiness Firms
Published in Working Paper, 2026
We develop a formal model of multibusiness firms operating across heterogeneous environments. Integration is optimal when alignment benefits outweigh heterogeneity costs; otherwise, organizational separation emerges.
Recommended citation: Jimenez-Cardenas, J., & Tamayo, J. (2026). "The Endogenous Formation of Corporate Boundaries: Alignment, Heterogeneity, and Synergies in Multibusiness Firms." Working paper.
Strategy for Multiunit Organizations
Published in Working Paper, 2026
We analyze strategic decision-making in multiunit organizations under informational asymmetries. Optimal communication balances misalignment costs and managerial autonomy, favoring decentralization under high uncertainty.
Recommended citation: Jimenez-Cardenas, J., & Tamayo, J. (2026). "Strategy for Multiunit Organizations." Working paper.
teaching
Álgebra Lineal
Undergraduate course, Fundación Universitaria Konrad Lorenz, 2024
Course description
Álgebra Lineal is an undergraduate course offered to students in Mathematics, Industrial Engineering, and Systems Engineering. According to the official analytical plan, the course provides a mathematical language to model and solve multivariate problems arising in science and engineering, with applications to optimization, statistics, and computer science.
Computación Científica I
Undergraduate course, Fundación Universitaria Konrad Lorenz, 2024
Course materials can be found here.
Course description
Computación Científica I is an undergraduate course in the Mathematics program aimed at introducing scientific computing techniques for solving computationally intensive problems in science. The course focuses on the use of Python as a programming language for scientific applications and emphasizes good programming practices.
Computación Científica II
Undergraduate course, Fundación Universitaria Konrad Lorenz, 2025
Course materials can be found here.
Course description
Computación Científica II is an undergraduate course focused on high-performance scientific computing. The course addresses parallel programming models, computational architectures, and software tools for solving data-intensive and computationally complex scientific problems.