The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $252,262 Project Grant to the University of Illinois to advance research in motivic homotopy theory. The project aims to develop tools for studying normed motivic spectra and computations of equivariant motivic invariants, with a focus on geometric applications. Broader impacts include work with incarcerated individuals and training of undergraduate and graduate students. This award supports NSF's mission...
This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
This Project Grant award from the National Science Foundation provides $150,000 in funding to support a Mathematical and Physical Sciences postdoctoral research fellowship under the Mathematical Sciences Postdoctoral Research Fellowships program (CFDA 47.049). The fellowship recipient, Michael Klug, will conduct research on four dimensional topology, knotted surfaces, decompositions, and mapping class groups at the University of Chicago from September 1, 2022 through August 31, 2026 under the...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $190,000.00 to support a postdoctoral research and training project titled "Torelli Groups, Algebraic Geometry, and Low-Dimensional Topology". The fellowship, awarded to Daniel Minahan, will be hosted by the University of Chicago under the mentorship of sponsoring scientist Benson Farb. The project period runs from September 1, 2024 to August 31, 2028....
This federal Project Grant award of $190,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides funding for a postdoctoral research fellowship at McGill University. The project, titled "Non-positively Curved Aspects of Artin Groups and Related Families", will be conducted under the mentorship of Piotr Przytycki from June 1, 2024 to May 31, 2028. The fellowship supports research and training in the mathematical sciences,...
This $190,000 Project Grant award was made by the National Science Foundation (NSF) Division of Mathematical Sciences under the CFDA program titled "Mathematical and Physical Sciences." The award supports a postdoctoral research fellowship for Dylan Galt at Harvard University, under the mentorship of Clifford Taubes. The fellowship project is titled "Gauge Theory on Special Holonomy Manifolds and their Calibrated Submanifolds." This fellowship is part of the NSF's FY 2025...
This National Science Foundation Project Grant award of $150,000 provides funding for a Mathematical Sciences Postdoctoral Research Fellowship from July 1, 2022 to June 30, 2026. The fellowship supports Dr. Yujie Xu's research and training project at the Massachusetts Institute of Technology under the mentorship of Dr. Wei Zhang. The project investigates Shimura varieties and their integral models in the context of the Langlands program, motives, arithmetic intersection theory and algebraic...
The National Science Foundation awarded a $150,000 Project Grant to support a Postdoctoral Research Fellowship from July 1, 2021 through June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The Fellowship funding will advance the program's goals by promoting progress in the mathematical sciences and strengthening the Nation's scientific enterprise through increasing scientific knowledge and enhancing understanding of major problems. Over the four-year period of...
This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $290,813 to The Washington University in St. Louis to support a research project in noncommutative geometry and its applications. The primary objectives are to: Introduce new numerical invariants to distinguish noncommutative spaces and refine known invariants such as the Connes-Chern character. Apply cyclic theory to study an analytic version of the Milnor...