Home /  MSRI-UP 2016: Sandpile Groups


MSRI-UP 2016: Sandpile Groups June 11, 2016 - July 24, 2016
Parent Program: --
Location: SLMath: Baker Board Room, Atrium
Organizers Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Luis David Garcia Puente (Colorado College), Herbert Medina (University of Portland), LEAD Suzanne Weekes (SIAM - Society of Industrial and Applied Mathematics)

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The MSRI Undergraduate Program (MSRI-UP) is a comprehensive summer program 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 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.

MSRI-UP 2016: Sandpile Groups

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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. Luis Garcia-Puente of Sam Houston State University, a post-doc and two graduate students
  • 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 $3100 stipend, lodging, meals and round trip 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

Application Materials

Applications for MSRI-UP 2016 should be submitted via the MathPrograms listing, which lists the required application materials.  Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply, and the proram cannot accept foreign students regardless of funding.  In addition, students who have already graduated or will have graduated with a bachelor's degree by June 11, 2016 are not eligible to apply.  The application link will be available on this page starting November 29, 2015. Applications submitted by February 15, 2016 will receive full consideration. (Applications submitted after February 15, 2016 but by March 1, 2016 may still be considered in a second round of acceptances.) We hope to begin making offers for participation in late February or early March.

For additional information, please contact the on-site director for the 2016 MSRI-UP.

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 22, 2016
All Day
  Sandpile Group Presentations
09:20 AM - 10:05 AM
  On the Accessibility Numbers in the Sandpile Monoid of a Graph
Ernest Castorena (University of California, Berkeley), Dominika Palinko (University of California, Berkeley), Cecily Santiago (Art of Problem Solving Initiative, Inc.)
10:05 AM - 10:50 AM
  The Sandpile Group of a Thick Cycle Graph
Diane Christine Alar (University of California, Santa Barbara), Jonathan Celaya (Rice University), Micah Henson (Spelman College)
11:00 AM - 11:45 AM
  On the Sandpile Group of a Circulant Graph
Anna Comito (Wesleyan University), Jennifer Garcia (University of California, Berkeley), Justin Rivera (Wentworth Institute of Technology)
01:00 PM - 01:45 PM
  Combinatorial and Algebraic Properties of Generalized Crown Graphs
Carlos Agrinsoni Santiago (University of Puerto Rico, Cayey), Angel Burr (University of Washington), Ruben Hurtado (California State Polytechnic University, Pomona)
01:45 PM - 02:30 PM
  The Avalanche Polynomial of the Complete Bipartite Graph
Karlie Elliott (Humboldt State University), Drisana Mosaphir (Harvard University), Maleek Richardson (North Carolina Agricultural and Technical State University)
02:40 PM - 03:25 PM
  Bijections Between the Recurrent Sandpiles of an Eulerian Digraph and Its Reverse
Tafari James (University of Washington), Casandra Monroe (University of Texas, Austin), Ricardo Rojas-Echenique (Reed College)