For undergraduate research opportunities, we usually refer students to the AMS website, the SIAM website, our headline, and our SMALL webpage on other programs. Prof. Vélez has put together the following excellent list of programs with special features. Comments are most welcome either below or by emailing Frank Morgan.
Summer REU programs (updated 21 January 2014)
by William Yslas Vélez, University Distinguished Professor of Mathematics, The University of Arizona, Tucson, Arizona
Most of these programs are for students in their junior year who have completed at least one proof-intensive course and at least some upper division course work in algebra, analysis or linear algebra.
I have read over the descriptions of the proposed activities for the REU sites. I have commented on programs that fit certain needs of undergraduates. In particular, I looked for those programs that students who had not started upper division courses could apply to. Many REU sites do not list the minimum prerequisites or I may have overlooked some so please look carefully at both websites.
Most of the summer REU programs require some computing background, so I will not list it separately as a requirement. This computing requirement may consist of either programming skills in some language or facility with some computational package.
Some summer programs that do not appear on the NSF website
1. Brown University, ICERM
4. USC Viterbi
Assist High School students
PROMYS. This is a program for gifted high school students and math majors apply to be counselors to work with these high school students.
Illinois State University will recruit eight undergraduate mathematics education majors.
For students who have completed two semesters of calculus
1. Arizona State University, Mathematical and Theoretical Biology Institute. The site says that students who have completed at least their sophomore year and have completed two semesters of calculus can apply.
2. Michigan State University. Students should have completed the first course in calculus.
For students who have completed calculus and linear algebra
3. Rice University?
For students who have completed three semesters of calculus, differential equations, and linear algebra
Kansas State University. They will accept some students early in their careers.
For most of these summer REU programs, students do not receive undergraduate college credit. However, for some students, obtaining such credit can be useful. There are a few programs that offer such credit.
Programs where students earn undergraduate credit for participating.
1. Boise State. Three units of undergraduate credit.
2. University of Wisconsin, Summer Institute for Training in Biostatistics (SIBS). Six units of credit, no mention of stipends.
3. University of Maryland, Baltimore County. Fully transferable three-credit course Math 447 Introduction to Parallel Computing using C with MPI.
2. Institute for Pure and Applied Mathematics. Research in Industrial Projects. Students who graduate in May can apply. International students can apply.
3. Institute for Mathematics and its Applications. Problems will be posed in fields outside of mathematics.
4. Brown University, Integrating Dynamics and Stochastics
International Opportunities or Programs Open to International Students.
1. DIMACS. “A small number of REU participants are selected to participate in an extension of the research experience. These students will travel to DIMATIA, at Charles University in Prague, Czech Republic, and will participate in the Midsummer Combinatorial Workshop as well as additional REU program activities.”
2. Institute for Pure and Applied Mathematics. There is an international component in Hong King. Students who graduate in May can apply. International students can apply.
3. Arizona State University, Mathematical and Theoretical Biology Institute: The site leads me to believe that they do accept international students but I am not sure about the details.
6. PROMYS. This is a program for gifted high school students and math majors apply to be counselors to work with these high school students. International students can apply to be counselors as long as they have permission to work in the U.S.
3. Emory University. Biostatistics.
4. University of Pittsburgh, School of Medicine. Computational Biology.
5. Boise State. Genome Biology.
6. Winthrop University. Mathematical Biology
Programs for Women
1. The Carleton College Summer Mathematics Program for Women. This program requires second semester calculus and linear algebra.
2. Summer EDGE program. For women who have graduated and plan to pursue graduate studies in mathematics.
Programs with a focus on under-represented students
Almost all REU programs are for students who are undergraduates. I did find some for students who graduate in May 2013.
Programs where graduates can apply
1. Summer EDGE program. For women who have graduated and plan to pursue graduate studies in mathematics.
2. Institute for Pure and Applied Mathematics.There is an international component in Hong King. Students who graduate in May can apply. International students can apply.
Many of the national labs have internship programs. These internship programs can be for the summer or for a semester. Here are some examples.