Virtual Workshop II for Women in Commutative Algebra and Algebraic Geometry
Description
The overall goal of this series of 2 virtual (online) events is to gather a small community of approximately 15 women researchers who work in the areas of commutative algebra and algebraic geometry (broadly interpreted) to (1) form a close-knit research community and (2) to work on concrete projects which bridge these 2 areas, in smaller groups of 3 or 4 members each.
We are looking for women mathematicians with a mature, established research program within Commutative Algebra and/or Algebraic Geometry, who are also looking to develop new research connections and explore new avenues of research between and across these two areas. In particular, we expect the proposals for projects to reach across strict discipline boundaries.
In order to be considered for the program, applicants should be fully committed to the events described below, including (i) the proposal of a project, and (ii) active participation in their research (sub)group as well as in the meetings of the whole group.
The following is an overall description of the planned program activities:
- There will be a 2-day kick-off (virtual) workshop in early 2023. Each participant (excepting the organizers) will be expected to prepare, and be ready to present, a concrete research question which may be selected as one of the research problems to be worked on, long-term, by a subgroup of the participants. The workshop’s Day 1 will consist of presentations of these proposed research projects; each participant will present her problem to the group, and this will be followed by a brief, informal question-and-answer session. There will also be an informal networking session. Day 2 will consist of more focused discussions regarding the proposed problems. This will be followed by a series of informal votes to narrow down the list of projects to a list of ~3-5 projects. Finally, we will form the subgroups of 3 to 4 participants that are “assigned” to each of the selected projects; it is expected that these subgroups will each work independently on the group’s selected problem over the next year (and, if needed, beyond).
NOTE: There will be no “group leaders”. To put it another way, even if a person originally proposed a particular research problem, this does not mean that this person is the “group leader”. Moreover, we do not envision this as a “mentor-mentee” situation. It is expected that each team is a “team of equals” — we ask every member of each (sub)group to think of herself is an equal “peer” to the others, and to behave accordingly.
- The (sub)groups continue to meet frequently to work on these problems throughout the remainder of 2023, using whatever means they find most convenient.
- There will be 2 short (half-day maximum), informal, virtual meetings in the summer of 2023, during which each research team/subgroup can briefly report on progress in ~5-15 minute increments, and the entire group can network and have an overall discussion.
- Approximately one year after the initial (early 2023) workshop, there will be a more formal 1- or 2-day follow-up workshop. This will be an opportunity to fully report on progress on the research projects in ~20-30 minute presentations and for the entire group to have more fulsome discussions.
If you are interested in applying, please submit application materials through the MathJobs ad.
Application Due Date: November 15, 2022
Eligibility Requirements:
1) Applicants must have a Ph.D. in Mathematics by the due date of the application. (Under exceptional circumstances, candidates who will obtain a Ph.D. by Summer 2023 will be considered.)
2) Applicants should be women researchers with an established research program in Commutative Algebra and/or Algebraic Geometry (broadly interpreted).
More details on the application process and application materials are posted on Mathjobs: https://www.mathjobs.org/jobs/workshop/20124 .
Schedule
09:20 to 09:30 |
Welcome and introductory remarks by organizers
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09:30 to 09:45 |
The subadditivity of Syzygies
Sabine El Khoury, American University of Beirut |
09:45 to 10:00 |
The resolution of powers of quadratic monomial ideals
Mina Bigdeli, Institute for Research in Fundamental Sciences (IPM) |
10:00 to 10:15 |
Parametrizing algebraic surfaces
Elisa Lorenzo García, Université de Neuchâtel, Juliette Bruce, Brown University |
10:15 to 10:30 |
Cohomological rank functions and embeddings of Kummer Varieties
Sofia Tirabassi, Stockholm University |
10:30 to 10:45 |
Matroid varieties, their irreducible decompositions and their defining equations
Fatemeh Mohammadi, Katholieke Universiteit Leuven |
10:45 to 11:00 |
On the Waldschmidt constant and resurgence for ideals of finite point sets in projective and multiprojective spaces
Elena Guardo, Università di Catania |
11:00 to 11:15 |
Isotropic Quot Schemes
Minyoung Jeon, University of Georgia |
11:15 to 11:30 |
Break
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11:30 to 11:45 |
Existence of exact zero divisors for generic rings
Adela Vraciu, University of South Carolina |
11:45 to 12:00 |
Fat Points and Coding Theory
Susan Cooper, University of Manitoba |
12:00 to 12:15 |
Non-finitely generated symbolic Rees algebras
Janet Page, North Dakota State University |
12:15 to 12:30 |
Multigraded Monomial Ideals with Extremal Betti Numbers
Juliette Bruce, Brown University |
12:30 to 12:45 |
Projective Abelian McKay Correspondence in Dimension Three
Jesse Huang, University of Alberta |
12:45 to 13:00 |
Bridging Differential Geometry and Enumerative Algebraic Geometry
Madeleine Weinstein, Stanford University |
09:30 to 10:45 |
Discussion/ questions about all the problems proposed in Day 1.
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10:45 to 11:15 |
Initial vote on problem preferences
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11:15 to 12:00 |
Break for participants; organizers will determine narrowed-down list of problems.
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12:00 to 13:30 |
Announcement of narrowed list of problems, more discussion/ questions on list, communal decisions on breakdown into teams.
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13:30 |
Small-group team discussions on logistics/next-steps, if desired
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