The National Science Foundation (NSF) awarded a Project Grant totaling $199,927 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Texas at Austin. The award is entitled "FACTORIZATION AND DEGENERATION OF CHIRAL HOMOLOGY" and runs from August 15, 2024 to July 31, 2027. The project aims to study chiral homology, a mathematical construct related to vertex operator algebras and conformal field theory, with applications in theoretical physics, geometry, and algebra. Key objectives include describing how chiral homology behaves under surface deformations, providing a geometric realization of chiral homology, and extending this concept to curves with singularities. The grant will also support research training opportunities for students. No subgrants are planned under this award.
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