Organizing Committee
Abstract

The Summer@ICERM faculty advisers will present a variety of research projects on the combinatorics of parking functions. This overarching theme will allow participants to study and analyze parking functions by leveraging computational techniques and theory. Faculty will also guide the development of open-source computational tools for analyzing parking functions and their statistics, with time devoted to creating a database of parking functions and their generalizations.

Throughout the eight-week program, 18-22 students will work on their projects in groups of two to four, supervised by faculty advisors and aided by teaching assistants. Students will meet daily, give regular talks about their findings, attend mini-courses, guest talks, and professional development seminars, and will acquire skills in free software development. Students will learn how to collaborate mathematically, working closely in their teams to write up their research into a paper.

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Program Details

2022 Proposed Research Topics
  • Invariant and Prime Parking Sequences
  • Statistics on parking functions and their generalizations
  • Connection to posets and graph theory, algebraic structures, and discrete geometry
Detailed Project Descriptions (PDF)
Important Notes
  • Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2022.
  • Funding is available for 2-3 students who are not US citizens or permanent residents.
Funding Includes*
  • $3,800 stipend
  • Providence, RI room, board, and travel funding provided for in-person programming, pandemic permitting. (Brown students who choose not to live in the dorm will waive ICERM provided housing and meal funding.)
To Apply

Applications accepted via MathPrograms.org. Applications submitted by February 14, 2022 will receive full consideration.

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Cara Bennett
    Georgia Institute of Technology
  • Steven Bradt
    Arizona State University
  • Josephine Brooks
    University of Toronto
  • Lucas Chaves Meyles
    University of California, Los Angeles
  • Douglas Chen
    Johns Hopkins University
  • Jennifer Elder
    Rockhurst University
  • Susanna Fishel
    Arizona State University
  • Pamela E. Harris
    Williams College
  • Max Hlavacek
    UC berkeley
  • Richter Jordaan
    MIT
  • Zoe Markman
    Swarthmore College
  • Lucy Martinez
    Rutgers University
  • Juan Carlos Martinez Mori
    Cornell University
  • Ava Mock
    Wellesley College
  • Eric Pabón-Cancel
    University of Puerto Rico, Mayagüez Campus
  • Eva Reutercrona
    Pacific Lutheran University
  • Gordon Rojas Kirby
    University of California, Santa Barbara
  • Sophie Rubenfeld
    Hamilton College
  • Gabriel Sargent
    University of Notre Dame
  • Sam Sehayek
    University of California, Santa Barbara
  • Ethan Spingarn
    Amherst College
  • Izah Tahir
    Georgia Institute of Technology
  • Bianca Teves
    Haverford College
  • Robin Truax
    Stanford University
  • Amanda Verga
    Trinity College
  • Susan Wang
    Mount Holyoke College
  • Juliet Whidden
    Vassar College

Other Summer@ICERM Events

Summer@ICERM 2012: Geometry and Dynamics
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Summer@ICERM 2013: Geometry and Dynamics
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Summer@ICERM 2014: Polygons and Polynomials
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Summer@ICERM 2015: Computational Dynamics and Topology
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Summer@ICERM 2016: Dynamics and Stochastics
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Summer@ICERM 2017: Topological Data Analysis
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Summer@ICERM 2018: Low Dimensional Topology and Geometry
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Summer@ICERM 2019: Computational Arithmetic Dynamics
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Summer@ICERM 2021: Computational Polygonal Billiards
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