Mathematical Economics -

: Critiques "bad" mathematical economics, specifically models that ignore real-world phenomena like economic polarization and instability. Specific Applications

These papers explore how mathematics became the dominant language of economics and the challenges this shift created. Mathematical Economics

: Modeled as a graduate-level lecture, this paper explains how mathematical concepts like utility functions , fixed-point theorems , and Arrow's impossibility theorem are used to provide a logical framework for economic intuition. : Focuses on the Lagrange multiplier method for

: Focuses on the Lagrange multiplier method for optimizing functions under constraints and explains the importance of Brouwer's and Kakutani's fixed-point theorems in supply and demand theory. including the Solow–Swan

Critical Mathematical Economics and Progressive Data Science

(2025): Explores how consumer choices are not independent but are influenced by firm supply and information about the state of the economy.

(2024): Reviews the progression of growth models, including the Solow–Swan , Lucas , and Mankiw–Romer–Weil models, highlighting how mathematical precision drives economic theory.