Mathematics Research Communities


Mathematics Research Communities - 2019

The 2019 Mathematics Research Communities (MRC) summer conferences were held, at Whispering Pines Conference Center in West Greenwich, Rhode Island. The three week-long conferences drew 122 early-career mathematicians. Funded in part by the National Science Foundation, these conferences are part of the AMS MRC program, which also includes special sessions at the Joint Mathematics Meetings, a longitudinal study, and continued connections and collaborations.

 MRC19Highlights-4(wk1)

     "The focus on group work was unlike any other conference I've attended. But that was also the best part of the whole thing."

     "It (MRC) was the most worthwhile conference/workshop that I've been to. I was able to talk to people who I was previously too shy to talk to, and I learned a lot from everyone. . . ."

Week 1, June 2 – 8, 2019

Geometric Representation Theory and Equivariant Elliptic Cohomology

  • Organizers:  Dan Berwick-Evans, University of Illinois at Urbana-Champaign; Emily Cliff, University of Illinois at Urbana-Champaign; Nora Ganter, University of Melbourne; Arnav Tripathy, Harvard University; Joshua Jeishing Wen, University of Illinois at Urbana-Champaign

One of the tried-and-true techniques in representation theory is to apply topological invariants to spaces built out of Lie groups.  The workshop  focused on this paradigm where the invariant is equivariant elliptic cohomology. Elliptic cohomology has deep roots in homotopy theory, algebraic geometry, and mathematical physics.

View a list of those who participated.

"I really enjoyed the close atmosphere as well as the diverse group of expertise and interests that were represented at the MRC."

MRC19Highlights-2(wk1)

Week 2, June 9 – 15, 2019

Stochastic Spatial Models

  • Organizers:
  • Gerandy Brito, Georgia Institute of Technology; Michael Damron, Georgia Institute of Technology; Rick Durrett, Duke University; Matthew Junge, Duke University, David Sivakoff, Ohio State University

The goal was to better understand the global behavior of random systems driven by local interactions.

View a list of those who participated.

Read about the participants’ experience of doing math in the woods.

"I found it extremely valuable interacting with different groups and learning about aspects of their fields of expertise. The exposure to unfamiliar areas of mathematics as well as new perspectives on familiar ones was enlightening."MRC19Highlights-5

 

Week 3, June 16 – 22, 2019

Explicit Methods in Arithmetic Geometry in Characteristic p

  • Organizers:  Renee Bell, University of Pennsylvania; Julia Hartmann, University of Pennsylvania; Valentijn Karemaker, University of Pennsylvania; Padmavathi Srinivasan, Georgia Institute of Technology; Isabel Vogt, Massachusetts Institute of Technology

The focus was on problems in arithmetic geometry over fields of positive characteristic p that are amenable to an explicit approach, including the construction of examples, as well as computational exploration. Compared to algebraic geometry in characteristic 0, studying varieties over fields of characteristic p comes with new challenges (such as the failure of generic smoothness and classical vanishing theorems), but also with additional structure (such as the Frobenius morphism and point-counts over finite fields) that can be exploited.

View a list of those who participated.

"The program in general was an extremely rare and valuable experience as a young mathematician in the field - nice blend of senior and junior mathematicians."
 
 

 
 
 
       Participants enjoyed the location saying things like:
"The connection to nature made it easier to focus on the mathematics." and "Great location to focus on mathematics and meet new collaborators. Few distractions."
 
 
MRC18-Wk3-landscape