Abstract Let 𝐾 be a quadratic number field and let 𝐸 be a ℚ-curve without CM completely defined over 𝐾 and not isogenous to an elliptic curve over ℚ. In this setting, it is known that there exists ...

In this video, we derive the catenary curve using physics and calculus, explaining how a hanging cable reaches equilibrium under gravity. Step-by-step reasoning connects forces, differential equations ...

American Journal of Mathematics, Vol. 134, No. 5 (October 2012), pp. 1197-1246 (50 pages) The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric ...

Sarah never smiled in my classroom. At least not with her eyes. She spoke under her breath. Whispers of words I couldn’t usually hear. She is one of the many students who I remember because despite my ...