Home /  MSRI-UP 2019: Combinatorics and Discrete Mathematics


MSRI-UP 2019: Combinatorics and Discrete Mathematics June 15, 2019 - July 28, 2019
Parent Program: --
Location: SLMath: Baker Board Room
Organizers Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), LEAD Rebecca Garcia (Colorado College), Pamela Harris (University of Wisconsin-Milwaukee), 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.

The theme of the 2019 MSRI-UP is Applied Combinatorics and the research leader is Dr. Pamela E. Harris, Assistant Professor of Mathematics at Williams College. The research program will focus on the application of combinatorial arguments and techniques to enumerate, examine, and investigate the existence of discrete mathematical structures with certain properties. The areas of interest for these applications encompass a wide range of mathematical fields and will include algebra, number theory, and graph theory, through weight multiplicity computations, the study of vector partition functions, and graph domination problems, respectively. 

​Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Familiarity with programming will be helpful.


General Description

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

  • participate in the mathematics research program under the direction of Prof. Pamela E. Harris of Williams College, 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

MSRI-UP 2019: Combinatorics and Discrete Mathematics

Home Research Topic People Colloquia Research Projects Pictures


Application Materials

Applications for MSRI-UP 2019 will be submitted via the new Common Application for Research Experiences for Undergraduates, which will list the required application materials.  Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply, and the program cannot accept foreign students regardless of funding.  In addition, students who have already graduated or will have graduated with a bachelor's degree by August 31, 2019 are not eligible to apply.  Applications submitted by February 15, 2019 will receive full consideration. (Applications submitted after February 15, 2019 but by March 1, 2019 may still be considered in a second round of acceptances.) We expect to begin making offers for participation in late February or early March.

A complete application consists of five items, all of which should be submitted through the Common Application. These items are:

1. Transcripts.
Upload a copy of your transcripts showing courses and grades from all post-secondary institutions that you have attended. Initially, unofficial copies (as long as they are legible) of transcripts are acceptable, though we may request official transcripts upon acceptance to the program. Transcripts should contain Fall 2018 grades.

2. Statement of Interest.
Write a personal statement (300 - 500 words) addressing your interest in mathematics, science, and/or other disciplines, and why you would like to participate in the 2019 MSRI-UP. You may write in any style, but try to address the origins of your interest in mathematics and science, experiences (school-related and other) that have particularly stimulated you, obstacles you have faced along the way, and future educational and career plans and aspirations.  If you are currently attending a two-year institution, provide the name of the four-year institution to which you plan to transfer and the date when you plan to transfer in your statement.

3. List of Mathematics/Science Courses Taken with Grades.
Please list all mathematics and science courses taken, starting with the most recent.  State the Course Number, Course Title, Term Taken, Grade Received, and Institution where you took the course.
Example: MATH 201, Calculus 1, Spring 2015, B+, Carolina Community College 

4. Description of Previous Summer / Research Experiences.
Please list and give a brief description of all mathematics or science research or summer programs (high school or college), if any, in which you have participated. (Students who have not participated in any programs previously are encouraged to apply.)

5. Faculty Reference Letter of Recommendation. 
Please designate two Faculty References; these should be someone from whom you have taken a class or with whom you have done independent mathematical or scientific work. The people you identify as the Faculty Reference on the website will be notified to fill out an on-line form . Although the person will be notified automatically by email, it is the student's responsibility to make sure the letter is uploaded on time. 

For additional information, please contact the on-site director for the 2019 MSRI-UP.

The directors of MSRI-UP are:

Funding provided by:


Previous Years:

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
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Jul 25, 2019
09:00 AM - 09:05 AM
  Final Presentations: Opening Remarks
Pamela Harris (University of Wisconsin-Milwaukee)
09:05 AM - 09:50 AM
  On the (t,r) Broadcast Domination Numbers of Certain Grid Graphs
Natasha Crepeau (University of Washington), Sean Hays (University of South Florida), Alexandro Vasquez (Manhattan College)
09:55 AM - 10:40 AM
  Peaks in Parking Functions
Mayleen Cortez (Cornell University), Summar Ellis (Spelman College), Morgan Hobson (Spelman College)
10:45 AM - 11:30 PM
  Parking Functions: Naples and Beyond...
Alex Christensen (University of Arizona), Zakiya Jones (Pomona College), Andres Ramos (University of Puerto Rico)
11:35 AM - 12:20 PM
  The q-Analog of Konstant's Weight Multiplicity Formula for sl4 (C)
Lucy Martinez (Rutgers University), David Melendez (University of Central Florida)
12:20 PM - 01:20 PM
01:20 PM - 02:05 PM
  Weight q-Multiplicities for Representations of g2
Jerrell Cockerham (Colorado College), Melissa Gutiérrez González (Occidental College), Amaury Miniño (Colorado State University)
02:10 PM - 02:55 PM
  Visualizing the support of Konstant's weight multiplicity formula for the rank two Lie algebras
Juan Ramirez (University of Notre Dame), Eduardo Torres Davila (University of Minnesota), Fabrice Ulysse (University of Notre Dame)
02:55 PM - 03:00 PM
  Closing Remarks
Rebecca Garcia (Colorado College)
03:00 PM - 04:00 PM
  Afternoon Tea