Mathematical - Economics

Critical Mathematical Economics and Progressive Data Science

: Investigates the "watershed moment" between the 1940s and 1960s when mathematics was formally integrated into the economics curriculum in the United States.

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

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

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

(2025): A more advanced look at how fractional calculus —which handles "non-local" properties—can be applied to financial models and complex economic processes. Historical & Critical Perspectives including the Solow–Swan

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