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Special Program:

IMA Interdisciplinary Research Experience for Undergraduates

June 29-July 31, 2009
Organizers:
Daniel E. Flath Mathematics and Computer Science, Macalester College
Fadil Santosa Institute for Mathematics and its Applications

Schedule Participants Maps
IMA Live Streaming and Webcasting
Abstracts and Talk Materials Dining Guide

General description about the program:

The IMA summer REU gives students an experience in working on an interdisciplinary project involving mathematics. Students will work in teams of three with a faculty advisor and a postdoctoral mentor. This is a hands-on experience. There will be a few formal lectures. However, students will spend most of their time doing actual research. Students are expected to produce a poster and a publication-quality written report, and to give an oral presentation by the end of the 5-week period.

Description of projects:

  1. Objective structures – We will investigate naturally occurring discrete structures more general than crystals. The focus will be on self-assembling structures such as those observed in the tail sheaths of some viruses. Part of the project will consist of computer aided visualization of the structures. Objective structures team webpage
  2. Modeling solar cells – Polymer solar cells are laminated structures that convert photons into electron-hole pairs by dissociation. Current is then created by diffusion of the holes and electrons We will study the propagation of light in solar cells and model how excitons generated by light dissociate into electron-hole pairs which are collected at the electrodes. Performance of solar cells will be simulated by solving differential equations. Solar team webpage
  3. Data analysis – The problem of clustering is ubiquitous in the analysis of data, however, determining the number of existing clusters is not an obvious question (and sometimes not well-defined). We will review the many strategies for addressing this question and carefully compare them on artificial and real data, while explaining their successes and failures. We will try to suggest a combined strategy based on the findings of the comparative study.

    Data clustering team webpage

Reading and supporting material will be provided to successful applicants prior to the start of the program.

Application: [Application deadline has passed]

Stipend and allowance:

$3,500 stipend, campus housing and meals, travel allowance of up to $300. Participants also have a $300 allowance for travel to a national meeting during the 2009-2010 academic year to present results of their REU work.

Requirements:

Must be full-time undergraduate mathematics major and must devote full time to the program and may not engage in other course work or employment during the 5 week period.

  Sunday June 28. Students arrive, move in to housing.

Schedule

Week 1: Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday
Week 2:  | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday
Week 3:  | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday
Week 4:  | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday
Week 5:  | Monday | Tuesday | Wednesday | Thursday | Friday
  Monday, June 29
8:15am-9:00am Registration and coffee   Lind Hall 400
9:00am-9:15am Welcome to the IMA Fadil Santosa (University of Minnesota) Lind Hall 409
9:15am-10:00am Intro to objective structures (for all groups)   Lind Hall 400
10:00am-10:45am Intro to solar cells (for all groups)   Lind Hall 409
10:45am-11:15am Break   Lind Hall 400
11:15am-12:00pm Intro to data clustering (for all groups)   Lind Hall 409
12:00pm-1:30pm Lunch break, getting acquainted    
1:30pm-2:15pm First day business: assignment of desks, computers, paperwork, keys, …   Lind Hall 409
2:30pm-4:30pm Groups meet separately with mentors and advisors   Lind Hall 400
  Tuesday, June 30
Work all day on projects. Lind Hall 400
  Wednesday, July 1
Work on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
3:00pm-4:00pm Organic semiconductors for flexible solar cells Russell J. Holmes (University of Minnesota) Lind Hall 409
  Thursday, July 2
Work on projects till afternoon. Lind Hall 400
3:00pm-6:00pm Mississippi history walk (lecturer: Pat Nunnally)   Mississippi River 
  Friday, July 3
Work on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
  Saturday, July 4
No events scheduled.
  Sunday, July 5
No events scheduled.
  Monday, July 6
9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
  Tuesday, July 7
Work all day on projects. Lind Hall 400
  Wednesday, July 8
Work on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
3:00pm-4:00pm Toward a second order description of neuronal networks Duane Nykamp (University of Minnesota) Lind Hall 409
  Thursday, July 9
Work on projects till afternoon. Lind Hall 400
3:00pm-6:00pm Trip to the Minneapolis Institute of Arts   Minneapolis Institute of Arts
2400 3rd Ave S
Minneapolis, MN 55404
(612) 870-3131 
  Friday, July 10
Work on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
  Saturday, July 11
No events scheduled.
  Sunday, July 12
No events scheduled.
  Monday, July 13
9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
  Tuesday, July 14
Work all day on projects. Lind Hall 400
  Wednesday, July 15
Work on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
3:00pm-4:00pm Sparse signal representations and applications Ahmed H. Tewfik (University of Minnesota) Lind Hall 409
  Thursday, July 16
Work on projects till afternoon. Lind Hall 400
3:00pm-6:00pm Canoeing trip on Lake Calhoun (in case of rain Mill City Museum)   Lake Calhoun or Mill City Museum  
  Friday, July 17
Work on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
  Saturday, July 18
No events scheduled.
  Sunday, July 19
No events scheduled.
  Monday, July 20
9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
  Tuesday, July 21
Work all day on projects. Lind Hall 400
  Wednesday, July 22
Work on projects till afternoon. Lind Hall 400
2:00pm-3:00pm The development of a similarity solution for a Stefan like problem, with two moving boundaries, related to the growth of a sediment ocean basin Vaughan R. Voller (University of Minnesota) Lind Hall 409
  Thursday, July 23
Work on projects till afternoon. Lind Hall 400
1:30pm-5:00pm Trip to the State Capitol/Downtown St. Paul   State Capitol/Downtown St. Paul 
  Friday, July 24
Work on projects till afternoon. Lind Hall 400
3:00pm All groups meet together. Each group gives presentation on progress and results.
Lind Hall 409
  Saturday, July 25
No events scheduled.
  Sunday, July 26
No events scheduled.
  Monday, July 27
9:00am Separate group meetings.
Work all day on projects.
Lind Hall 400
  Tuesday, July 28
Work all day on projects. Lind Hall 400
2:50pm-6:00pm Trip to St. Anthony Falls Laboratory   St. Anthony Falls Laboratory 
  Wednesday, July 29
Work on projects till afternoon. Lind Hall 400
2:00pm Separate group meetings. Lind Hall 400
3:00pm-4:00pm Modeling the earth's glacial cycles Richard P. McGehee (University of Minnesota) Lind Hall 409
  Thursday, July 30
Work on projects. Lind Hall 400
Evaluations solicited. Lind Hall 400
4:30 pm Final written report (LaTeX) and high quality poster due. Lind Hall 409
  Friday, July 31
10:00am-11:00am Poster Session, Lind Hall 400
11:00am-11:30am Closing, Lind Hall 409

LIST OF CONFIRMED PARTICIPANTS

Name Department Affiliation
Team 1: Daniel E. Flath, faculty advisor (Department of Mathematics and Computer Science, Macalester College)
Hannah Callender, postdoctoral mentor Institute for Mathematics and its Applications University of Minnesota
Milka Nikolaeva Doktorova   Mount Holyoke College
Dhruv Goel Department of Computer Science University of Minnesota
Michael Meaden Department of Mathematics Elmhurst College
Team 2: Fadil Santosa, faculty advisor (IMA, University of Minnesota)
Tsvetanka Sendova, postdoctoral mentor Institute for Mathematics and its Applications University of Minnesota
Amelia Ahlers McNamara   Macalester College
Jordan Richard Seering   University of Minnesota
Yi Zeng   University of Illinois at Urbana-Champaign
Team 3: Gilad Lerman, faculty advisor (School of Mathematic, University of Minnesota)
Mark Iwen, postdoctoral mentor Institute for Mathematics and its Applications University of Minnesota
Brian Bies   Washington University
Kathryn Dabbs   University of Tennessee
Hao Zou   Macalester College