-
Adjusting Environmental Performance Index Scores toAccount for Gross National Income
By Rory Black Faculty mentor: Dr. Debra Hydorn I examined the Environmental Performance Index (EPI) report assembled by Yale University to address the need for environmental action. In this report, Yale University ranks countries across the globe on their environmental performance based on various indicators. I was interested in determining if all countries were ranked…
-
Electromagnetism, Maxwell’s Equation Reformulations and DeRham Theory in Electromagnetism
By Zoe Rafter Faculty mentor: Dr. Yuan Jen Chiang 10:00-10:50am, HCC 329 Maxwell’s equations showed that two different forces, Electricity and Magnetism, are two different aspects of the same Electromagnetic field. Maxwell’s theory also predicted the relativity of light in inertial frames, and the symmetries that connect the Electric and Magnetic forces, space, time, energy,…
-
Lie Groups, Manifolds, Gauge Fields, and Yang-Mills Equations
By Matthew O’Cadiz Faculty mentor: Dr. Yuan-Jen Chiang 10:00-10:50am, HCC 329 We begin by amalgamating Differential Geometry and Group theory and discuss the importance of symmetry in Mathematical Physics. Moreover, we generalize differentiation in the tangent space of a Manifold into the Connection of the Vector Bundle of tangent spaces. We then discuss the Gauge…
