Academic Presentations
Optimal Transport and Some Other Mathematical Models with Applications in Economics
For ADEEM Winter School
Summary | Slides
Seminar for the Winter School 2023 organized by the Association of Students and Alumni of Mathematics and the Association of Physics Students of PUCP.
Based on Alfred Galichon's book, Optimal Transport Methods in Economics, and his co-authored paper SISTA: Learning Optimal Transport Costs Under Sparsity Constraints.
On the Conference Paper Finding a Walrasian Equilibrium is Easy for a Fixed Number of Agents by F. Echenique and A. Wierman
For Numerical Analysis, Mathematics PUCP
Summary | Slides
As part of the midterm assignment for the course Numerical Analysis (2024-2), I presented the article Finding a Walrasian Equilibrium is Easy for a Finite Number of Agents by Federico Echenique and Adam Wierman.
The article introduces an algorithm that computes, in polynomial time with respect to the number of goods and a parameter epsilon, an epsilon-Walrasian equilibrium.
In my presentation, I delved into some of the technical details and provided a comprehensive introduction for those unfamiliar with general equilibrium theory.
I also proposed some insights on one of the lemmas discussed in the article.
Convergence of the Nelder–Mead Simplex Method in Low Dimensions and Applications in Economics
For Numerical Analysis, Mathematics PUCP
Summary | Slides
As part of the final assignment for the course Numerical Analysis (2024-2), I presented the article Convergence properties of the nelder-mead simplex method in low dimensions. Jeffrey Lagarias, James Reeds, M. W. and Wright, P. (1998).