Project Grant 2626713
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $300,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support geometric methods in the representation theory of reductive groups. The project applies geometric and topological tools alongside category theory to advance modular representation theory—the study of how matrix groups with entries in finite fields act on vector spaces over those fields. The...
- This three-year, $207,196 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research into the representation theory of finite reductive groups at the Massachusetts Institute of Technology. Specifically, the principal investigator will investigate new approaches to representations of Weyl groups and unipotent representations using a novel basis for the Grothendieck group. Additionally, the investigator will develop a new...
- The National Science Foundation (NSF) awarded a $155,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) Federal Grant Program to the University of Georgia Research Foundation, Inc. This funding supports research related to the representation theory of groups, which is the study of symmetry and its applications in various mathematical fields. The project aims to construct and classify pre-Tannakian categories, which are algebraic structures generalizing the...
- This $123,410 National Science Foundation project grant supports research into finite group actions on free resolutions at Cleveland State University from August 2022 through July 2025. The principal investigator will describe Betti numbers of polynomial equation systems with inherent symmetries, relying on computational algorithms. Graduate students will be involved in collecting and analyzing data to gain research experience alongside advanced mathematics learning. The goal is to describe...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $103,300 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study asymptotic group theory and dynamics. The project investigates infinite groups of symmetries and their large-scale properties, with emphasis on group growth rates—polynomial, exponential, or intermediate. A core aim is constructing new groups exhibiting intermediate growth using symbolic...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) totaling $249,648 supports research on the relation between geometric and algebraic structures of groups. The award will fund the principal investigator's (PI) investigations into groups with geometric structures, focusing on situations where such groups have subgroups that exhibit undesirable geometric properties. Additionally, the PI will undertake efforts to broaden...
- This three-year National Science Foundation Project Grant of $181,513 will support research in combinatorial representation theory at Dartmouth College from July 2022 through June 2025. The grantee aims to develop algorithms using diagram algebras and symmetric functions to advance understanding of the Kronecker problem in decomposing tensor products of representations into simpler representations. This work relates abstract algebraic objects like groups to combinatorial objects such as graphs...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $325,855 to the University of Houston from June 2022 through May 2025. The funding supports research and training opportunities for graduate students in the theory of operator algebras generated by unitary group representations and their connections to discrete group structure. Specifically, the principal investigator will investigate new operator algebraic rigidity phenomena for...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program ($160,000) will support research at Michigan State University exploring the connections between cluster algebras, quantum groups, and decorated character varieties. The principal investigator will investigate the quantum geometry of moduli spaces within the framework of cluster algebras, examining relationships between decorated character varieties, quantum groups, and Legendrian...
- This Project Grant award in the amount of $340,001 was provided by the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research at the University of Notre Dame DU Lac on the topological aspects of infinite group theory, with a focus on the topology of mapping class groups, automorphism groups of free groups, and arithmetic groups. The research aims to build connections between geometric...
CONFERENCE: GROUP THEORY AND REPRESENTATION THEORY: RECENT DEVELOPMENTS AND INTERACTIONS -THE CONFERENCE GROUP THEORY AND REPRESENTATION THEORY: RECENT DEVELOPMENTS AND INTERACTIONS WILL BE HELD ON APRIL 9-11, 2027, AT KENT STATE UNIVERSITY. THE CONFERENCE WILL BRING TOGETHER RESEARCHERS WORKING IN GROUP THEORY, REPRESENTATION THEORY, AND CLOSELY RELATED AREAS OF MATHEMATICS. GROUP THEORY IS THE MATHEMATICAL STUDY OF SYMMETRY AND HAS BECOME AN ESSENTIAL TOOL NOT ONLY IN MATHEMATICS BUT ALSO IN FIELDS SUCH AS PHYSICS, CHEMISTRY, COMPUTER SCIENCE, AND CRYPTOGRAPHY. ONE OF THE MAIN GOALS OF THE MEETING IS TO ENCOURAGE INTERACTION AMONG RESEARCHERS WHOSE WORK IS CONNECTED THROUGH GROUP THEORY BUT HAS DEVELOPED IN DIFFERENT DIRECTIONS OVER TIME. BY SUPPORTING TRAVEL FOR INVITED SPEAKERS, GRADUATE STUDENTS, POSTDOCTORAL RESEARCHERS, EARLY CAREER FACULTY, AND PARTICIPANTS WITH LIMITED ACCESS TO OTHER FUNDING, THE CONFERENCE WILL MAKE IT POSSIBLE FOR A BROAD RANGE OF RESEARCHERS TO EXCHANGE IDEAS, ESTABLISH NEW COLLABORATIONS, AND STRENGTHEN THE MATHEMATICAL COMMUNITY. IN MORE DETAIL, THE CONFERENCE WILL FEATURE RECENT DEVELOPMENTS IN GROUP THEORY AND ITS INTERACTIONS WITH REPRESENTATION THEORY, ALGEBRAIC GROUPS AND FINITE GROUPS OF LIE TYPE, CHARACTER AND BLOCK THEORY, GROUP COHOMOLOGY, COMPUTATIONAL GROUP THEORY, AND QUANTUM FIELD THEORY. BEYOND PRESENTING NEW RESULTS, A CENTRAL OBJECTIVE OF THE MEETING IS TO EXPLORE THE CONNECTIONS AMONG THESE AREAS AND TO ENCOURAGE INTERACTION BETWEEN RESEARCHERS WHO OFTEN APPROACH RELATED PROBLEMS FROM DIFFERENT PERSPECTIVES. BY BRINGING TOGETHER COMMUNITIES THAT DO NOT OFTEN MEET IN A SINGLE EVENT, THE CONFERENCE AIMS TO INSPIRE NEW DIRECTIONS IN THE STUDY OF GROUP THEORY AND ITS NEIGHBORING DISCIPLINES. THE CONFERENCE WEBSITE IS HTTPS://SITES.GOOGLE.COM/VIEW/KELLERLEWIS60CONFERENCE. THIS AWARD REFLECTS NSF'S STATUTORY MISSION AND HAS BEEN DEEMED WORTHY OF SUPPORT THROUGH EVALUATION USING THE FOUNDATION'S INTELLECTUAL MERIT AND BROADER IMPACTS REVIEW CRITERIA.- SUBAWARDS ARE NOT PLANNED FOR THIS AWARD.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $19.9k | 8/7/26 |