| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 21, 2022 |
| Latest Amendment Date: | April 21, 2022 |
| Award Number: | 2220824 |
| Award Instrument: | Standard Grant |
| Program Manager: |
Andrew Pollington
adpollin@nsf.gov (703)292-4878 DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | June 1, 2022 |
| End Date: | May 31, 2023 (Estimated) |
| Total Intended Award Amount: | $11,900.00 |
| Total Awarded Amount to Date: | $11,900.00 |
| Funds Obligated to Date: |
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| History of Investigator: |
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| Recipient Sponsored Research Office: |
1050 STEWART ST. LAS CRUCES NM US 88003 (575)646-1590 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
1290 Frenger Mall Las Cruces NM US 88003-8002 |
| 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 |
| Primary Program Source: |
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| 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 Pan-American School on Commutative Algebra is a two week long summer school focusing on a range of topics of current interest in the field. The school will take place on the premises of Centro de Investigación en Matemáticas in Guanajuato, Mexico, which has a long tradition of successful international events. In addition to introducing active research topics to the participants, another major goal of the school is to foster international connections among the participants. This grant will fund the participation of US-based graduate students to the school.
A number of significant breakthroughs have occurred in Commutative Algebra in recent years. These results arrived by integrating various techniques in Commutative Algebra and methods from other areas such as number theory, convex geometry, and representation theory. The basic scientific purpose of this school is to connect students with a range of questions and techniques of current interest in Commutative Algebra. Topics for the school include lectures on toric varieties, algebra structures on free resolutions, methods in positive characteristic, and differentials and derivations with applications. For more information on the summer school, see https://www.jack-jeffries.github.io/PASCA.html.
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.
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 Pan-American School on Commutative Algebra (PASCA 2022) took place at the Centro de Investigacion en Matematicas in Guanajuato, Mexico, from June 20 to July 1, 2022. This grant partially covered travel and local expenses of 21 US-based students and 1 US-based teaching assistant. The school had a total of 22 US-based students, 3 US-based teaching assistants, 26 students from Mexican and other universities, and a Mexican teaching assistant.
The summer school PASCA 2022 consisted of four mini-courses on active topics within commutative algebra and its interactions with algebraic geometry and combinatorics. The speakers of the school were: Jose Gonzalez (University of California, Riverside), Luis Nunez Betancourt (CIMAT, Mexico), Claudia Polini (University of Notre Dame), and Claudia Miller (Syracuse University). Each mini-course was accompanied by several problem sessions where the students were able to collaboratively explore in more depth and apply the concepts introduced in the lectures. The school also included two poster sessions where the participants were able to present their research and a panel on job applications.
This school connected students with a range of questions and techniques of current interest in commutative algebra. In addition, the summer school provided a valuable opportunity for students to make connections with peers and mentors. Students spent two weeks with a group of peers and established researchers with common research interests. This allowed the students to form long-term personal and professional connections with possible collaborators. In addition to meeting other US-based students, the participants had the opportunity to meet students based in South and Central America.
A year after the school ended, a survey was distributed among the participants and we received twenty responses. Among these, seven students reported having started a research collaboration during the school. Moreover, several of them expressed that they developed or strengthened a mentor/mentee relationship following PASCA and that the school had positive professional impacts on their career.
Last Modified: 09/27/2023
Modified by: Jonathan Montano
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