| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | July 20, 2017 |
| Latest Amendment Date: | June 1, 2021 |
| Award Number: | 1646385 |
| Award Instrument: | Continuing Grant |
| Program Manager: |
James Matthew Douglass
mdouglas@nsf.gov (703)292-2467 DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | July 15, 2017 |
| End Date: | June 30, 2024 (Estimated) |
| Total Intended Award Amount: | $2,397,237.00 |
| Total Awarded Amount to Date: | $2,397,237.00 |
| Funds Obligated to Date: |
FY 2018 = $239,724.00 FY 2019 = $479,448.00 FY 2020 = $479,447.00 FY 2021 = $479,447.00 |
| History of Investigator: |
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| Recipient Sponsored Research Office: |
1608 4TH ST STE 201 BERKELEY CA US 94710-1749 (510)643-3891 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
879 Evans Hall Berkeley CA US 94720-3840 |
| Primary Place of
Performance Congressional District: |
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| Unique Entity Identifier (UEI): |
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| Parent UEI: |
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| NSF Program(s): |
ALGEBRA,NUMBER THEORY,AND COM, WORKFORCE IN THE MATHEMAT SCI |
| Primary Program Source: |
01001819DB NSF RESEARCH & RELATED ACTIVIT 01001920DB NSF RESEARCH & RELATED ACTIVIT 01002021DB NSF RESEARCH & RELATED ACTIVIT 01002122DB NSF RESEARCH & RELATED ACTIVIT |
| Program Reference Code(s): |
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| Program Element Code(s): |
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| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
The Research Training Group (RTG) in Number Theory and Arithmetic Geometry at UC Berkeley will establish a number of activities involving researchers at all career stages ranging from undergraduates to senior faculty. The guiding aim is to create a research group based approach to the training of students and postdocs, enabling them to take full advantage of the wide expertise and experience of each other and the senior faculty, and to provide access for undergraduates to the research of the group and to mentor students planning to pursue related advanced degrees. The RTG will provide a unifying structure for the development of researchers and to foster collaborations. Activities of the RTG include research workshops, new research seminars, undergraduate conferences, and undergraduate mentoring.
The research expertise of the faculty affiliated with the RTG covers a wide range of topics in number theory and arithmetic geometry, as well as several related fields such as algebraic geometry, representation theory, and logic. The research conducted as part of this award will include work on automorphic forms, Arakelov geometry, Shimura varieties, Langlands correspondence, p-adic cohomology theories, motives, algebraic dynamics, and log geometry. The project activities will integrate the many research activities of the participants into a coherent research group fostering further collaborations and more extensive training.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH
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PROJECT OUTCOMES REPORT
Disclaimer
This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.
The Research Training Group (RTG) in Number Theory and Arithmetic Geometry at UC Berkeley successfully created a vibrant and integrated research group dedicated to the training of students and postdocs, benefiting from each other and the senior faculty. Over the grant period, we have witnessed increasing enthusiasm and attendance in the weekly research/training seminars and relevant graduate courses. Thanks to the continuing effort in recruitment, the faculty, postdoc and student population have visibly diversified.
The research expertise of our group centers around number theory and arithmetic geometry and interfaces with algebraic geometry, representation theory, and logic.We have produced excellent research products as can be seen from our publication list, on numerous topics including but not limited to automorphic forms, Arakelov geometry, Shimura varieties, Langlands correspondence, p-adic cohomology theories, motives, algebraic dynamics, log geometry, arithmetic statistics, and geometric representation theory. It is worth noting that a number of our papers resulted from collaboration within our research group.
We have accomplished our training goals through several RTG activities. The weekly RTG research seminar has been an effective training tool. It was particular effective to label the first half of the two-hour session as a pre-talk and make it accessible to young students. Regular student seminars further exposed students to well-curated research topics in depth. Moreover our annual RTG workshop provided a unique opportunity for students to immerse themselves for a full week in a research topic which may be outside their comfort zone. We also organized a two-day undegraduate conference three times during the grant terms, consisting of research talks by faculty/students, breakout sessions, and panel discussions. Thereby we reached out to underrprivileged local undergraduates and encouraged them to pursue higher education in mathematics.
Last Modified: 11/06/2024
Modified by: Martin C Olsson
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