Sergiu Klainerman, Eugene Higgins Professor of Mathematics at Princeton University, has made seminal contributions to nonlinear partial differential equations, analysis, differential geometry, and mathematical general relativity. He pioneered the vector field method for nonlinear wave equations, developed multilinear techniques for low-regularity analysis, and established landmark results on the stability of Minkowski space and Kerr black holes. His work has reshaped PDE, analysis, geometry, and relativity, training and inspiring generations of mathematicians. Throughout his career, Sergiu Klainerman has received many distinctions, including: Sloan Fellowship (1983–1985) MacArthur Fellowship (1991–1996) Guggenheim Fellowship (1997–1998) Bôcher Memorial Prize, American Mathematical Society (1999) Fellow of the American Academy of Arts and Sciences (1996) Foreign Member of the French Academy of Sciences (2002) Member of the U.S. National Academy of Sciences (2005) Israel Gelfand Chair, IHÉS (2017–2019) The conference will celebrate Sergiu Klainerman’s 75th birthday by bringing together experts to present recent advances in analysis, PDE, geometry, and general relativity, with the aim of fostering interaction across fields and engaging early-career researchers in these exciting developments.ts.