The National Science Foundation (NSF) awarded a $274,996 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Massachusetts (UMass). The grant period runs from June 1, 2024 to May 31, 2027.
The primary focus of the research is to advance the study of derived categories of moduli spaces and Fano varieties, with the goal of further developing the interconnections between algebraic geometry, non-commutative geometry, and mathematical physics. Key activities include delivering graduate-level training, providing thesis topics for graduate students, and engaging undergraduate researchers. The research program also aims to continue investigating the categorical Milnor fiber for singular algebraic variety deformations and explore applications to moduli of algebraic surfaces. No sub-awards are planned under this grant.