Revolutionary new concepts about elementary particles, space and time, and the structure of matter began to emerge in the mid-1970s. Physicists developed a theory called The Standard Model that explains what the world is made of and what holds it together. It is a comprehensive theory that explains all the hundreds of particles and their complex interactions. This study group is devoted to understanding the theoretical foundations of this theory and utilizes mathematics to develop the theories and to explain and apply the principles. Our studies are based on an online video lecture series "New Revolutions in Particle Physics," originally given by world renowned physicist Leonard Susskind, Director of the Stanford Institute for Theoretical Physics (SITP), in Stanford’s Continuing Education Program. The study group is of one-year duration. It began in the Fall 2018 semester and will continue through the spring 2019 semester.