The National Science Foundation (NSF) awarded Vanderbilt University a $330,901 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to support research on singular solutions to hyperbolic partial differential equations in physics. The Principal Investigator (PI) will study evolution equations from models in general relativity, electromagnetism, fluid mechanics, and quark-gluon plasma/neutron star physics. The project aims to derive new theoretical results on singularity formation in these systems, with a focus on shock waves, big bangs, and other physical phenomena with infinities. The work will integrate education and training for undergraduates, graduate students, and postdocs. No subawards are planned for this 3-year grant, which runs from June 2024 to May 2027.