This National Science Foundation Project Grant of $240,000 will support research using sheaf-theoretic methods in modular representation theory from September 1, 2022 to August 31, 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the principal investigator at Louisiana State University will conduct research on three topics: the topology of global Schubert varieties, Kazhdan-Lusztig cells and tilting modules, and siltting complexes of coherent sheaves. This work aims to advance modular representation theory through geometric methods, building on recent developments in applying such techniques to representation theory over finite fields. The grant will also support research training activities for PhD students and early-career researchers. The anticipated results have connections to number theory, classical representation theory questions, and new avenues in K-theory and categorification.