Mathematics Research Communities - 2018
The 2018 Mathematics Research Communities (MRC) summer conferences were held, for the first time, at Whispering Pines Conference Center in West Greenwich, Rhode Island. The three week-long conferences drew 123 early-career mathematicians. These conferences, funded in part by the National Science Foundation, are part of the AMS program that includes special sessions at the Joint Mathematics Meetings, a longitudinal study, and continued connections and collaborations.
We hope you enjoy the photos, video and comments from some who participated in the June 2018 MRC.
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Week 1, June 3 – 9, 2018
The Mathematics of Gravity and Light
- Organizers:
- Charles Keeton, Rutgers University;
- Arlie Petters, Duke University;
- Marcus Werner, Kyoto University
Our interdisciplinary summer conference was aimed at newcomers to the field and there was a strong focus on team-based collaborative work. Pedagogically, the expressway into the subject was to use the thin-screen, weak-field limit of gravitational lensing, which is rich with examples that carry many of the key ideas and theorems in the field.
View a list of those who participated.
Harmonic Analysis: New Developments on Oscillatory Integrals
- Organizers:
- Philip T. Gressman, University of Pennsylvania;
- Larry Guth, Massachusetts Institute of Technology;
- Lillian B. Pierce, Duke University
The workshop focused on two closely related topics within harmonic analysis that have undergone important new developments. First, the solution of the $l^2$-decoupling conjecture. Second, we explores ideas from a broad program in multilinear oscillatory and singular integrals. Second, we explored ideas from a broad program in multilinear oscillatory and singular integrals.
View a list of those who participated.
Below are comments, made by participants, describing their thoughts on what would they considered to be the highlight of the conference.
Being able to work on a well-thought out, tractable research project in a group.
Working through our research problem with people I hadn't met before . . .
Week 2, June 10 – 16, 2018
Quantum Symmetries: Subfactors and Fusion Categories
- Organizers:
- David Penneys, The Ohio State University;
- Julia Plavnik, Texas A & M University;
- Noah Snyder, Indiana University
The program brought together graduate students, postdocs, and early career researchers from operator algebras, representation theory, category theory, topology, and quantum information theory to work together on problems on classifying, understanding, and applying quantum symmetries.
View a list of those who participated.
Number Theoretic Methods in Hyperbolic Geometry
- Organizers:
- Benjamin Linowitz, Oberlin College;
- David Ben McReynolds, Purdue University;
- Matthew Stover, Temple University
The primary focus during the workshop was to introduce the participants to problems at the interface of geometry and number theory that are currently attracting significant interest, and provide them with the tools necessary to make progress on some open questions.
View a list of those who participated.
Overall this was a wonderful conference and I'm very glad that I had a chance to participate . . . this has been my most productive workshop to date.
Week 3, June 17 – 23, 2018
Agent-based Modeling in Biological and Social Systems
- Organizers:
- Andrew Bernoff, Harvey Mudd College;
- Maria R. D'Orsogna, California State University at Northridge;
- Alan Lindsay, University of Notre Dame;
- Chad Topaz, Williams College;
- Alexandria Volkening, Mathematical Biosciences Institute at Ohio State;
- Lori Ziegelmeier, Macalester College
The workshop goal was to cross-train and foster the formation of collaborations between the participants so that they can formulate effective but tractable agent-based models, numerically simulate these systems efficiently (notably via parallel and cloud computing), characterize and classify the data produced by these simulations (leveraging modern ideas such as topological data analysis), and analytically describe the observed behaviors. The goal of this MRC was to develop new connections in our community and provide our colleagues with a broad portfolio of tools to attack problems and a wider network of collaborators in this highly interdisciplinary area of research.
View a list of those who participated.
The . . . opportunity to work on a new field and develop new collaborations.
The location made it feel like 'math camp' and encouraged camaraderie.
It was thoroughly pleasant! I had such a great time, both mathematically and socially! Everything was harmonious, the people, the location, the site, the rooms, the food, the outings! Simply marvelous!