Papers

Abstract Silicon-based electronics are hitting their limit. Graphene, since its discovery, was hoped to be a possible replacement that could allow us to continue to increase computing performance beyond where silicon will leave it. Graphene, however, is not semiconducting by default: a property that is key for transistor fabrication. In this paper, we explore three potential pathways to modify graphene to be semiconducting: quantum confinement, chemical modification, or by epitaxial growth. ...

Abstract Complex analysis has numerous applications in many fields. As an example of its use in probability, I show how complex analysis provides an elegant proof of one of the most important theorems in probability: the central limit theorem. 📄 Download PDF bibtex citation: @article{geraghty2025complex, author = {Geraghty, Noah}, title = {Complex Analysis and the Central Limit Theorem}, year = {2025}, }