Organizing Committee
Abstract

The faculty advisers will present a variety of interdisciplinary research topics utilizing large-scale linear algebra, model reduction, randomized algorithms, and deep learning. Participants will have the opportunity to learn the theoretical underpinnings of these research topics in applied and computational mathematics and will help develop open-source software tools that accomplish data-driven scientific predictions.

The faculty will begin the program with brief introductory talks. Throughout the eight-week program, students will work on assigned 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, practice coding, version control, and Tex typesetting. Students will learn how to collaborate mathematically, and they will work closely in their teams to write up their research into a poster and/or paper by the end of the program.

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Program Details

2020 Proposed Research Project Topics
  • Iterative methods for electromagnetic problems
  • Randomized singular value decomposition and its applications
  • Efficient eigensolvers and their applications
  • Theoretical and computational aspects of expressive power of deep neural networks
  • Graph spectral clustering and sparsification
  • Random projections and dimension reduction
Important Notes
  • Applicants must be matriculating undergraduate students at the time of the start of Summer@ICERM 2020.
  • Funding is available for 2-3 students who are not US citizens or permanent residents.
Funding Includes*
  • $3,570 stipend
  • Dormitory housing
  • Meal plan
  • Travel support within the U.S.
  • Fun events
  • *Brown students who choose not to live in the dorm will waive the dorm, meal, and travel funding.
Deadline
February 14, 2020

All students must apply via MathPrograms.org by this date to receive full consideration. ICERM will begin making offers to students between late February and early March 2020.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Rishi Advani
    Cornell University
  • William Barton
    University of Massachusetts
  • Yanlai Chen
    University of Massachusetts, Dartmouth
  • Madison Crim
    Salisbury University
  • Trevor Crupi
    Purdue University
  • Max Daniels
    Northeastern University
  • Jordan Fox
    Western Carolina University
  • Catherine Huang
    Berkeley
  • Ryan Jeong
    University of Pennsylvania
  • Katie Keegan
    Mary Baldwin University
  • Yuqing Liu
    University of Michigan
  • Chloe Makdad
    Butler University
  • Shubham Makharia
    1999
  • David Melendez
    University of Central Florida
  • Yonah Moise
    Yeshiva University
  • Akil Narayan
    University of Utah
  • Sean O'Hagan
    University of Connecticut
  • Hannah Odom
    University of Texas at Austin
  • Minah Oh
    James Madison University
  • Maricela Ramirez
    University of Mary Hardin-Baylor
  • Kelly Rivera
    St. Thomas University
  • Jennifer Zheng
    Emory University

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
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