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MSRI-UP

MSRI-UP 2009: Coding Theory June 15, 2009 - July 24, 2009
Parent Program: --
Organizers Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), John Little (College of the Holy Cross), LEAD Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)
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Description

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. The academic portion of the program will be led by John B. Little, Professor of Mathematics at College of the Holy Cross. Dr. Little has done research in many mathematical fields including computational algebra and coding theory and has extensive experience with directing undergraduate research. Indeed, he has worked in Research Experience for Undergraduates (REUs) in both the U.S. and Puerto Rico. 

MSRI-UP 2009: Coding Theory‚Äč

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General Description:

During the summer, each of the 18 student participants will:

  • participate in the mathematics research program under the direction of Dr. Little
  • complete a research project done in collaboration with other MSRI-UP students
  • give a presentation and write a technical report on his/her research project
  • attend a series of colloquium talks given by leading researches in their fields
  • attend workshops aimed at developing skills and techniques needed for research careers in the mathematical sciences and
  • learn techniques that will maximize a student's likelihood of admissions to graduate programs as well as the likelihood of winning fellowships
  • receive a $3000 stipend, lodging, meals and roundtrip travel to Berkeley, CA.

After the summer, each student will:

  • have an opportunity to attend a national mathematics or science conference where students will present their research
  • be part of a network of mentors that will provide continuous advice in the long term as the student makes progress in his/her studies
  • be contacted regarding future research opportunities

The main objective of the MSRI-UP is to identify talented students, especially those from underrepresented groups, who are interested in mathematics and make available to them meaningful research opportunities, the necessary skills and knowledge to participate in successful collaborations, and a community of academic peers and mentors who can advise, encourage and support them through a successful graduate program. The objective is designed to contribute significantly toward meeting the program goal of increasing the number of graduate degrees in the mathematical sciences, especially doctorates, earned by U.S. citizens and permanent residents by cultivating heretofore untapped mathematical talent within the U.S. Black, Hispanic/Latino and Native American communities.

The directors of MSRI-UP are:

Previous Years:

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
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Jul 24, 2009
Friday
09:00 AM - 10:00 AM
  Algebraic structure of (generalized) toric codes
Warren Chancellor, Jonathon Henry, Ellen Le
10:00 AM - 11:00 AM
  A Systematic Census of Generalized Toric Codes over F4, F5 and F16
James Amaya, April Harry, Brian Vega
11:00 AM - 12:00 PM
  A census of two-dimensional toric codes over Galois fields of sizes 7, 8 and 9
Alejandro Carbonara, Juan Murillo pacheco, Abner Ortiz Camacho
02:30 PM - 03:30 PM
  Indecomposable polyhedra and toric codes
Aileen Gaudinez, Cheryl Outing, Rachel Vega
03:30 PM - 04:30 PM
  Multivariate Vandermonde determinants and toric codes
Leyda Almodovar, Eugene Cody, Lourdes Morales
04:30 PM - 05:30 PM
  List Decoding algorithms for Reed-Solomon codes and their maximum decoding radii
Kimberly Heu, Caytlin Parmelee