The University of Arizona

External Internship and Research Opportunities for Undergraduates

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Pathways to Science is a portal website supporting pathways to the STEM fields: science, technology, engineering, and mathematics. Particular emphasis is placed on connecting traditionally underrepresented groups with STEM programs and resources, including funding and mentoring opportunities. Use this website to search for programs in STEM, including undergraduate summer research opportunities.


UA Career Services is the most up-to-date source for information on internships available to students. They can also help critique your resume, hone your interview skills, and more. Internships are a great way to gain work-related experience prior to graduation, earn some money, and in some cases, they have led to offers of permanent jobs for our students after they graduate.

Below is a selection of companies that offer internships for undergraduate students majoring in mathematics. Additional internship information can be found through the AMS and SIAM.

Aerospace and Defense


Computers and Technology




  • BIO5 Institute:  maintains listings of biology/biomedical/life science internships
  • Metron: scientific consulting.
  • Mitre: cybersecurity, emerging technologies, engineering, health transformation, global networking, and intelligence, surveillance, and reconnaissance.
  • Philips: healthcare and electronics.
  • SAIC: national security, health, energy and environment, and cybersecurity.


Semester programs away from the UA

The semester programs are run each year. For details about the programs and deadlines for application, click on the links to the program websites. For additional programs, see the U of A Study Abroad and National Student Exchange websites.

Argonne National Laboratory

Location: Argonne, IL Eligibility: 18 yrs or older; eligible to work in U.S.; cumulative GPA ≥ 2.5; health insurance. Spring or Fall Laboratory Undergraduate Programs available.

Budapest Semesters in Mathematics

Location: Budapest, Hungary Eligibility: students normally have at least sophomore status and are in good academic standing; students are expected to have completed one semester of advanced calculus or abstract algebra.

Math in Moscow

Location: Moscow, Russia Eligibility: good academic standing; completed at least one semester of both advanced analysis and linear algebra; no language requirement (classes are taught in English).

Oak Ridge Institute for Science and Education (ORISE) and Oak Ridge Associated Universities (ORAU)

Locations vary. Most programs are restricted based on citizenship/residency status. See website for details on specific programs.

Oxford Study Abroad Programme

Location: Oxford, United Kingdom Eligibility: GPA ≥ 3.0 after two years of university study

Penn State's Mathematics Advanced Study Semesters (MASS) Program

Location: University Park, PA Eligibility: students are typically juniors or seniors during the program; high level of mathematical ability and mastery of mathematical proof techniques. Background: full calculus sequence, basic linear algebra, a transition course with proofs and either advanced calculus or basic real analysis.

Smith College Center for Women in Mathematics Junior Program

The Junior Program is for undergraduate women mathematics majors who want a mathematically intense semester or year among other women. (While the program is intended to take place during the junior year, second-semester sophomores and rising seniors will also be considered.)

U.S. Department of Energy

Check the Scholarships & Internships link from the DoE website to see what's available and where (locations and eligibility restrictions vary). *Note: Some of the Contests & Competitions may also be of interest!

Washington International Studies Council (WISC) Study in Oxford

Location: Oxford, United Kingdom Eligibility: WISC has programs in a variety of subjects including Mathematics, Economics, Biological Sciences, etc. See program descriptions for more on expectations.

Summer programs away from the UA

Many university departments and government labs run summer research programs for undergraduate students, often under the acronym REU (Research Experience for Undergraduates). Since availability changes each year, it is best to learn about current offerings through the following listings:

Application deadlines are frequently flexible; therefore, if you are interested in applying for a program for which the deadline has passed, contact the program anyway. It is possible that they still have openings and would consider your application.

Dr. Velez has compiled a brief list of some of this year's REU programs that may have fewer prerequisites than most, or that may be open to specific populations (future teachers, international students, etc.).  

Select summer programs

To get a flavor of what might be available, information on select programs appears below.


IPAM Research in Industrial Projects for Students (RIPS)

(Los Angeles, CA, or Hong Kong) RIPS is a program for students who are enrolled in or have just completed an undergraduate (bachelors) degree. Students with a strong background in mathematics and an interest in seeing how mathematics is used in the real world are encouraged to apply.  RIPS is not exactly an REU - the projects come from industry rather than academia, so it is essentially a cross between an REU and an internship. RIPS students do not have regular interaction with the faculty or students of the math department, except for the academic mentors.  There are no classes during RIPS; the focus is entirely on the research projects, and ultimately presenting the results.  Most of the projects have a significant computational component, so that proficiency (or at least some experience) in computer science, data analysis or numerical computation is valuable, but not necessary for everyone.  


(Piscataway, NJ and Prague, Czech Republic) DIMACS, with National Science Foundation sponsorship, has offered an REU program since 1992. There are four associated REU programs:

  • The DIMACS REU program offers projects mentored by DIMACS members.
  • The DIMACS/DIMATIA REU program offers projects mentored by DIMACS members, the program is extended by two weeks, and the last two and a half weeks of the program are spent at our sister site DIMATIA at Charles University in Prague, Czech Republic. Students selected to participate in this program generally exhibit strong interests in combinatorics.
  • The Rutgers Math Department program offers projects mentored by members of the Rutgers Mathematics Department.
  • The DyDAn REU program offers projects related to homeland security mentored by DyDAn researchers.

EDGE Program

(Bryn Mawr, PA or Atlanta, GA) Enhancing Diversity in Graduate Education is a program funded by the National Security Agency and is designed to strengthen the ability of women and minority students to successfully complete graduate programs in the mathematical sciences. Applicants to the program should be women who are

  1. graduating seniors who have applied to graduate programs in the mathematical sciences,
  2. recent recipients of undergraduate degrees who are now entering graduate programs, or
  3. first-year graduate students.

Amgen Scholars Program

(Various locations) The Amgen Scholars U.S. Program provides hundreds of selected undergraduate students with the opportunity to engage in a hands-on research experience at some of the nation’s leading educational institutions. Currently, 10 universities in the U.S. host the summer research program. Research areas include Statistics, and many of the life sciences (applicants will be interested in pursuing a Ph.D. or M.D.-Ph.D.). Note that the European program is currently only open to students from European univerisities.

NASA Undergraduate Programs

(Various locations) Nasa offers a variety of internships and summer programs. See the website for descriptions.

National Nanotechnology Infrastructure Network (NNIN) REU

(Various locations) A ten week summer program where students are assigned to a specific research project and will make a meaningful research contribution to their research group. Each project involves hands-on nanotechnology research with state-of-the-art equipment. Each student will be working on an individual research project, with support from faculty, student mentors, and facility staff.

UROP Summer Research at RWTH AAchen

(Aachen, Germany)  The Undergraduate Research Opportunities Program (UROP) offered through the Rheinisch-Westfälische Technische Hochschule (RWTH-Aachen) is designed to give students hands-on experience with a research team in fundamental engineering projects at one of the top universities of science and technology worldwide. The program consists of two weeks of intensive language training and eight weeks of work on the assigned project. Scholarships and local excursions are offered. 

Northern Arizona University, Institute for Tribal Environmental Professionals

(Various locations) The Environmental Education Outreach Program offers a Summer Student Internship Program as well as two Short Internship Programs. Students gain hands-on experience with EPA or other government and tribal offices with regards to environmental issues.

ASU Mathematical And Theoretical Biology Institute REU

(Tempe, AZ) This intensive REU prepares promising young scientists interested in working at the interface of mathematics, statistics, and the natural and social sciences for the rigors of graduate studies.

Cal State University, Northridge: Preparing Undergraduates through Mentoring toward PhD's (PUMP) program

(Northridge, CA) The PUMP program offers two summer institutes, one for students who have completed two semesters of Calculus and another to help mathematics majors transition from lower to upper division courses.

REU in Mathematics at California State University, San Bernardino

(San Bernardino, CA) Students study knot theory and combinatorics at Cal State San Bernardino.

UC Santa Barbara Materials Research Laboratory Research Internships

(Santa Barbara, CA) Science and engineering students acquire research experience in a variety of exciting fields through these internships.

Stanford Linear Accelerator Center Summer Internships in Science & Engineering

(Stanford, CA) An 8-week program for undergraduate students traditionally under-represented in science careers (minorities, women, economically disadvantaged, and students from rural areas without access to major research facilities). Provides hands-on research experiences in a national laboratory setting.

University of Colorado Summer Multicultural Access to Research Training (SMART)

(Boulder, CO) The SMART program is intended for undergraduate students who are interested in preparing for graduate degrees in science, math and engineering. SMART offers students the opportunity to conduct research under the guidance of a faculty mentor, and participate in workshops designed to strengthen scientific writing and oral presentation skills.

The Physics Laboratory at the National Institute of Standards and Technology

(Washington, DC) 12-week Summer Undergraduate Research Fellowship program providing hands-on research experience in Atomic, Molecular, Optical, Radiation and Chemical Physics. Past research opportunities have included: Atomic and Molecular Spectroscopy Laser Cooling and Trapping Collisions of Atoms and Molecules Atoms and Molecules on Surfaces Quantum Optics QED Effects on Atomic Structure Optical/Infrared Detector Development UV Optics Optical Tweezers Industrial Radiation Dosimetry Physics of Radiation Therapy Environmental Radioactivity -- and many others.


Mathematics and Computing Research Experiences for Undergraduates at Iowa State University

(Ames, IA) Participants spend eight weeks working on research projects as part of active research groups at ISU. The projects are in a variety of mathematical areas, representing the diverse research interests of the ISU Mathematics Department, such as mathematical biology, linear algebra, dynamical systems, numerical analysis, and graph theory, all utilizing computational methods.


Boston University College of Engineering REU

(Boston, MA) This 10-week program provides unique opportunities to participate in cutting-edge biomedical or photonics research.

Harvard School of Public Health Summer Program in Quantitative Sciences

(Boston, MA) The HSPH Summer Program in Quantitative Sciences is a short introduction to biostatistics, epidemiology and public health research in June. It is designed as an intensive course to expose undergraduates to quantitative methods applied in biological, environmental and medical research and prepare them to apply to graduate school. Students collaborate on a research project with the direction of HSPH faculty and graduate students.

MIT Lincoln Laboratory Summer Research Program

(Lexington, MA) MIT Lincoln Laboratory applies advanced technology to problems critical to national security. Behind the Laboratory's solutions are researchers with excellent technical abilities and imagination working in cross-disciplinary collaborations to develop systems from the initial concept stage, through simulation and analysis, to design and prototyping, and finally to real-world demonstrations. Since 1975, Lincoln Laboratory has offered undergraduate and graduate students the unique opportunity to gain hands-on experience in a leading-edge research environment.

Williams College: SMALL Undergraduate Research Project

(Williamstown, MA) The SMALL Project is a 9-week summer program in which undergraduates investigate open research problems in Mathematics. Students work in small groups directed by individual faculty members.


Grand Valley State University

(Allendale, MI) The Department of Mathematics at Grand Valley State University (GVSU) near Grand Rapids, MI, invites eight students to participate in their REU program each summer. GVSU typically receives over 100 applications, so selection is competitive.

The Duluth Undergraduate Research Program

(Duluth, MN) This is a ten-week undergraduate research program in mathematics at the University of Minnesota Duluth. Graph theory, combinatorics and number theory provide the source of most of the problems. Weekly field trips are part of the program.

Princeton Summer Research Experience (PSURE)

(Princeton, NJ) The Office of Academic Affairs and Diversity offers an eight-week summer research experience for up to 20 undergraduates who express a serious interest in pursuing a Ph.D. and following a career in college or university teaching and research. The purpose of the program is to motivate and prepare students to make competitive applications to research doctoral programs, with a view toward completing the Ph.D. and going on to teach and conduct original research. PSURE is open to all qualified applicants. Undergraduates who are racial/ethnic minorities, who are from socioeconomically disadvantaged backgrounds, or who are from small liberal arts colleges are especially encouraged to apply.

University of New Mexico Nanoscience and Microsystems (NSMS) REU Program

(Albuquerque, NM) The NanoScience and MicroSystems REU held at the University of New Mexico is a 10-week summer research internship program for undergraduate students studying chemistry, chemical engineering, materials science, and physics.

Santa Fe Institute, Research Experiences for Undergraduates

(Santa Fe, NM) This program is highly individualized. Each student works with one or more faculty mentors on a self-selected project forcusing on some aspect of the computational properties of complex systems. Participants are expected to conduct research at the Santa Fe Institute for approx. 10 weeks, within a mid-May to mid-August window. Funded by the National Science Foundation, this program is open to U.S. citizens and permanent residents only. Women and minorities are especially encouraged to apply.


(Reno, NV) The underlying motivation for the Institute is the fundamental interest in attracting more underrepresented minority students into graduate work in the Mathematical and Statistical Sciences, and facilitating their transition into research work. RUSIS is a 10-week summer program. Students with a mathematical background that includes three semesters of calculus, and one semester of linear algebra or matrix analysis, should apply.

Cornell University Summer Program

(Ithaca, NY) The objectives of the program are to encourage undergraduates to pursue advanced degrees in math and sciences. It will expose the students to the atmosphere and the excitement of a major research institution and there will be weekly lectures by visiting scientists from around the world.

Columbia University Department of Earth and Environmental Sciences at Lamont-Doherty Earth Observatory

(Palisades, NY) 9-week summer internship program for undergraduates in science, math, or engineering who have completed their sophomore or junior year. The program offers the opportunity to experience scientific research as an undergraduate.

Clarkson University and SUNY Potsdam Mathematics Department REU

(Potsdam, NY) Applications are sought from undergraduates interested in spending their summer participating in mathematics research projects. Topics to be explored may include group theory, Algebra, graph theory, Knot Theory.

Miami University, Summer Undergraduate Mathematical Science Research Institute (SUMSRI)

(Oxford, OH) SUMSRI is seeking talented undergraduate mathematics students who are interested in pursuing advanced degrees to participate in a 7-week research experience. Because of the shortage of minorities and women mathematical scientists, we are especially interested in, but not limited to, African Americans and other underrepresented minorities and women.

REU Program at Oregon State University

(Corvallis, OR) This program will support 10 undergraduate students and will run for eight weeks. This site contains links to a more detailed description of the program, descriptions of potential projects, and instructions on applying either on line or via a printed application.

Texas A&M University REU

(College Station, TX) The Department of Mathematics at Texas A&M intends to host an eight-week Research Experience for Undergraduates (REU). Applicants must be US citizens or permanent residents. Participating students will be provided free on-campus housing, a meal allowance, subsidized travel (to and from College Station), and an additional weekly stipend.

The Lunar and Planetary Institute

(Houston, TX) The LPI invites undergraduates to experience cutting-edge research in the planetary sciences through the Summer Intern Program. As a summer intern you would complete a research project of current interest in planetary science, working one-on-one with a scientist at the LPI or at Johnson Space Center. The LPI is located near Johnson Space Center, on the south side of Houston, TX. The LPI provides, on NASA leadership in the scientific community for research in lunar, planetary, and solar system sciences, and linkage with related terrestrial programs.


IAS/Park City Mathematics Institute (PCMI)

(Park City, UT) The Undergraduate Summer School provides opportunities for talented undergraduate students to enhance their interest in mathematics. This program is open to undergraduates at all levels, from first-year students to those who have just completed their undergraduate education. There will be many organized activities, with some specifically targeted at students at the introductory level and others at more advanced students. There will also be time for study groups and individual projects guided by advisors, as well as other activities.

Minority Academic Opportunities Program (MAOP) at Virginia Polytechnic Institute and State University

(Blacksburg, VA) Minority students will interact with student researchers, faculty and graduate students in different areas of study, use state-of-the-art equipment, and attend seminars on the nature of graduate academic life. Students will also prepare to take the GRE, and receive counseling on gaining admission to graduate school and available funding opportunities.

University of Wisconsin-Madison Computational Biology and Biostatistics Summer Research Program

(Madison, WI) The Computational Biology and Biostatistics Summer Research Program (CBB), gives minority undergraduate students the opportunity to explore a career in biostatistics and bioinformatics by working closely with faculty and staff mentors.The general goal of CBB is to provide qual ified undergraduates with opportunities to: gain direct research experience in biostatistics and bioinformatics/computational biology, learn tools and skills that will promore successful admission to post-baccalaureate programs,and explore a career in biostatistics/bioinformatics/computational biology.

University of Wisconsin-Madison Summer Institute for Training in Biostatistics

(Madison, WI) The Summer Institute for Training in Biostatistics (SIBS) gives undergraduate students majoring in the quantitative sciences the opportunity to explore a career in biostatistics and bioinformatics emphasizing applications in both basic and clinical research. Learn how to develop new methods for experimental design and analyze the resulting data. Over a 6-week summer school session participants will be engaged in two 3-credit courses for a total of 6 credits that can transfer back to participants' undergraduate institutions.



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