About the Mathematics Research Communities: Mathematics Research Communities (MRC), a program of the
American Mathematical Society (AMS), nurtures early-career
mathematicians--those who are close to completing their doctorates or have
recently finished--and provides them with opportunities to build social and
collaborative networks through which they can inspire and sustain each other in
their work. The structured program is designed to engage and guide all participants
as they start their careers. For each topic, the program includes a one-week
summer conference; a Special Session at the next Joint Mathematics Meetings;
opportunities for support for collaborative travel; and guidance in career
building. The program provides for 40 funded participants. The 2023 summer conferences will be held at Beaver Hollow
Conference Center, Java Center, NY, where participants can enjoy a private,
distraction free environment conducive to research. Beaver Hollow is located in
Western New York, 45 minutes from the Buffalo Niagara International Airport,
one hour from Rochester or Niagara Falls. Those accepted into this program will receive travel support for
a summer conference, and will be partially supported for their participation in
the Joint Mathematics Meetings which follow in January 2024 in San Francisco,
CA. All participants are expected to be active
in the full MRC program.
For any program, fellowship, prize or award that has a maximum
period of eligibility after receipt of the doctoral degree, the selection
committee may use discretion in making exceptions to the limit on eligibility
for candidates whose careers have been interrupted for reasons such as family
or health. Therefore, applicants who have had to slow down or temporarily stop
their career for personal reasons may request to be considered for an extension
in the amount of time after the PhD degree. Please send exception requests
to ams-mrc@ams.org. REQUIREMENTS:
Applications
will close at 11:59 p.m. Eastern Time on Tuesday, February 15, 2023. Note
that all applicants will be notified of their status by May 1, 2023. Week 2b: June 4-10, 2023 -- Derived Categories, Arithmetic and Geometry Organizers: Matthew Ballard, University of South Carolina Since their
introduction by Grothendieck and Verdier, derived categories have become an
essential tool in the study of algebraic geometry. Their ability to bridge
within subfields and to other areas of mathematics is compelling. At the same
time, derived categories remain mysterious in many ways and our collective
understanding is still in its very early stages. Tantalizing conjectures
shimmer on the horizon and new paths branch every day. This MRC will equip the participants with a solid foundation in the modern tools for studying derived categories in algebraic geometry and provide them a greater vista across the field. Even if a participant's interests are not directly in derived categories, they will see how derived categories can be a useful tool for and an insightful perspective into their own work. Specific topics of focus include:
Those already interested in moduli problems, representation theory, non-commutative algebra, and birational geometry should find stimulating points of contact with these topics. We welcome all as participants and especially encourage those historically under-represented in the field. We aim to foster a welcoming environment. |