Explore the intricacies of celestial operator product expansions and w1+infinity symmetry for all spins in this advanced theoretical physics seminar. Delve into the investigation of massless celestial primary operators of arbitrary spin, examining how Poincare symmetry leads to recursion relations on operator product expansion coefficients. Discover how symmetry-derived coefficients match those from momentum-space tree-level collinear limits and obey infinite symmetry transformations respecting the w1+infinity algebra. Learn about celestial currents in tree-level minimally-coupled gravitational theories and their role in generating w1+infinity action on massless celestial primaries. Gain insights into operator product expansion coefficients for fermions and those arising from higher-derivative non-minimal couplings of gluons and gravitons.