Greetings! I am Jesus Sanchez Jr, a mathematician mainly working in the fields of index theory, supersymmetry, equivariant geometry of loop spaces, cyclic homology, and noncommutative geometry. In my spare time I enjoy keeping up with the subjects of gauge theory and quantum field theory as well as fiddling around on the guitar. I completed my PhD in December 2022 at Penn State under the supervision of Nigel Higson and was a postdoctoral research associate at Washington University in St Louis from Fall 2022-Spring 2025. I am currently a visiting scholar at Texas A&M University.