14 Math Programs for High School Students in New Mexico
- Stephen Turban
- Jun 17
- 11 min read
If you’re interested in mathematics, participating in a structured program can help you explore ideas and applications that extend beyond the standard high school curriculum. These opportunities introduce you to areas such as mathematical research, data analysis, computational modeling, problem-solving, and quantitative reasoning while helping you strengthen analytical and logical thinking skills. They also provide opportunities to learn from researchers, university faculty, and peers who share an interest in mathematics and STEM.
In New Mexico, math programs are offered through national laboratories, universities, research organizations, and academic enrichment initiatives across the state. These opportunities range from research internships and residential summer experiences to college-level courses, mathematics camps, and competition-focused programs, allowing students to engage with mathematics in a variety of academic and applied settings.
Why should I do a math program in high school?
Math programs allow you to explore how mathematical ideas are used to solve problems in fields such as physics, computer science, engineering, data science, and economics. Depending on the program, you might conduct research, analyze datasets, study advanced mathematical concepts, work with programming tools, participate in competitions, or collaborate on challenging projects with mentors and peers. These experiences can help you deepen your understanding of mathematics, develop stronger problem-solving skills, and prepare for future study in quantitative disciplines.
With that, here are 14 math programs for high school students in New Mexico!
If you’re looking for medical programs in New Mexico, check out our blog here.
Key takeaways
Several programs are free or paid, including Los Alamos National Laboratory internship (~$17/hr), Sandia National Laboratories internship (paid), QCaMP (free with a learning stipend), UNM Summer Programs (free), and NMSU STEM Camps (free), making New Mexico a strong state for no-cost math and STEM opportunities.
Programs span a wide range of mathematics sub-fields, including quantum computing and linear algebra (QCaMP), astrophysics and computational math (Summer Science Program), number theory and topology (SUMaC, Campersand), applied data science and machine learning (Lumiere, HARP), research mathematics (MIT PRIMES-style independent work), and foundational reasoning through original texts (St. John's College).
Several programs are tied to nationally significant research institutions in New Mexico, including Los Alamos National Laboratory and Sandia National Laboratories, giving students rare access to professional research environments where mathematics is applied to physics, engineering, and national security.
Students looking for residential experiences can apply to New Mexico Tech Summer STEM Experience, St. John's College Summer Academy, Campersand at UNM, and the Summer Science Program at NMSU, all of which include on-campus housing alongside structured academic programming.
Deadlines vary widely, with Summer Science Program closing in January and February, SUMaC closing February 2, and LANL internships closing April 15, so students should begin identifying programs in the fall and apply to early-deadline programs first.
Location: Los Alamos National Laboratory
Cost: Paid internship (Approx $17 per hour)
Acceptance Rate: Competitive
Dates: Summer (10 weeks)
Deadline: April 15
Eligibility: High school juniors/seniors (≥16 years old, GPA ≥ 2.75, NM students)
Los Alamos National Laboratory’s internship places you in a research environment where mathematics is used in areas such as modeling, simulation, and data analysis. You work on a project under the guidance of a mentor, where your tasks may include interpreting data, running calculations, or supporting technical research. The program follows a professional schedule, with expectations around consistency and output. You also interact with scientists who use mathematics in advanced research settings. The work often connects math with physics, engineering, or computational science. Over time, you begin to see how mathematical methods are applied to real research problems.
Location: Remote , you can participate in this program from anywhere in the world!
Cost: Varies depending on program type. Full financial aid available.
Application Deadline: Varies by cohort.
Program Dates: Varies by cohort: summer, fall, winter, or spring. Options range from 12 weeks to 1 year.
Eligibility: You must be currently enrolled in high school and demonstrate a high level of academic achievement.
The Lumiere Research Scholar Program is a rigorous research program tailored for high school students. The program offers extensive 1-on-1 research opportunities for high school students across a broad range of subject areas. The program pairs high school students with Ph.D. mentors to work 1-on-1 on an independent research project. At the end of the 12-week program, you’ll have developed an independent research paper! You can choose research topics from subjects such as psychology, physics, economics, data science, computer science, engineering, chemistry, international relations, and more. You can find more details about the application here, and check out students’ reviews of the program here and here.
Location: Sandia National Laboratories, Albuquerque, NM
Cost: Paid (hourly rate varies by position type)
Acceptance Rate: Competitive
Dates: Summer (10–12 weeks, May–August); year-round option available (up to 25 hrs/week during school year)
Deadline: Rolling
Eligibility: Full-time high school student; age ≥ 16; GPA ≥ 3.0 for R&D or technical/business positions; GPA ≥ 2.5 for other positions; U.S. citizenship required for clearance-based roles
Sandia National Laboratories offers paid internships in a research or technical environment on problems related to national security, energy research, and engineering. You are paired with a mentor who guides you through tasks such as data analysis, computational work, programming, or technical documentation. Multiple formats are available, including a 10–12 week summer option and a year-round part-time option that fits around your school schedule, so you can choose a structure that works for you. You also participate in intern events such as technical symposia, laboratory tours, and career panels, which help you see how mathematical and scientific methods are applied to real research problems.
Location: Virtual
Cost: Varies depending on program type. Financial aid is available.
Application Date: Multiple deadlines throughout the year for the Spring, Summer, and Fall cohorts.
Program Dates: The spring and fall cohorts run 15 weeks, while the summer cohort runs 10 weeks (June-September).
Eligibility: High school students with good academic standing (>3.67/4.0 GPA) can apply. Most accepted students are 10th- or 11th-graders! A few tracks require prerequisites.
Horizon offers trimester-long research programs for high school students across subject areas such as data science, machine learning, political theory, and more. Once you select a particular subject track, Horizon pairs you with a professor/PhD scholar who acts as a mentor throughout your research journey. As a participant, you will be expected to develop a 20-page research paper that you can send to prestigious journals for publication as a high school student. The program also provides a letter of recommendation for each student and detailed project feedback that you can use to work on future projects.
Location: Albuquerque, NM
Cost: Free; learning stipend provided
Acceptance Rate: Competitive (limited to specific NM and CA regions)
Dates: 4 weeks in summer (typically July)
Deadline: Spring (varies by year)
Eligibility: High school students (≥16 years old) from Albuquerque, Santa Fe, or Gallup, NM, or the Navajo Nation, AZ; basic algebra required
QCaMP is a free four-week program that introduces you to quantum computing through a curriculum grounded in mathematics. You begin with computing fundamentals before progressing into linear algebra, probability, and statistics as the core tools for understanding quantum systems. The program includes hands-on sessions where you build and run circuits on actual quantum computers, connecting mathematical ideas directly to physical problems such as superposition, entanglement, and quantum gates. Career presentations and Q&A sessions with working scientists are built into the schedule.
Location: University of New Mexico
Cost: Free
Acceptance Rate: Not specified
Dates: Summer (varies by year)
Deadline: Not specified
Eligibility: High school juniors and seniors
The University of New Mexico’s summer programs focus on strengthening core mathematical skills, including algebra, equations, and quantitative reasoning. You work through problems that are directly connected to college-level STEM courses, especially chemistry and related fields. The program offers dual credit options, allowing you to earn college credit while completing coursework. Instruction focuses on applying math to real scientific problems rather than isolated exercises. You are expected to engage actively with problem sets and guided sessions. The structure follows a classroom format with consistent academic expectations. This helps you prepare for the mathematical demands of introductory STEM courses in college.
Location: New Mexico State University
Cost: Free
Acceptance Rate: Not specified
Dates: June 1–12
Deadline: Not specified
Eligibility: Students exiting grades 9–11
New Mexico State University’s STEM camps include sessions where mathematics is applied through hands-on projects such as robotics and engineering challenges. You work in groups to solve problems that require measurement, estimation, and logical reasoning. Activities are designed around practical tasks, where math is used as a tool rather than taught separately. The program emphasizes participation and experimentation, especially in applied settings. You interact with instructors as you work through structured activities. The environment is less formal but still focused on building problem-solving skills, helping you see how mathematical thinking is used in practical situations.
Location: New Mexico Institute of Mining and Technology
Cost: $675 per session (all-inclusive)
Acceptance Rate: Not specified
Dates: June 7–12 & July 12–17
Deadline: Not specified
Eligibility: High school students entering sophomore, junior, or senior year; GPA ≥ 2.75; Algebra 1 required
New Mexico Tech’s Summer STEM Experience is a one-week residential program in which you take part in structured sessions that include mathematical problem-solving within broader STEM contexts. You work on projects that require algebraic reasoning, measurements, and quantitative analysis as part of engineering or science tasks. The program places you in small groups where you solve problems and test ideas using guided instruction. Faculty members introduce concepts that connect mathematics to real applications, especially in technical fields. Since the program is residential, you follow a full-day academic schedule similar to a short college session. You also earn college credit for your participation.
Location: St. John's College, Santa Fe, NM
Cost: $1,400 per session (financial aid available)
Acceptance Rate: Not specified
Dates: July 5 – 24 (multiple sessions)
Deadline: June 1
Eligibility: High school students aged 15–18
St. John’s College Summer Academy approaches mathematics through original texts such as Euclid’s Elements, studied in seminar-style discussions. You read and analyze mathematical arguments in their original form, focusing on how ideas are constructed. The program emphasizes reasoning and interpretation rather than calculation. Discussions take place in small groups where you examine proofs step by step. Mathematics is connected to philosophy and logic through the material. You are expected to engage actively in conversations rather than complete problem sets.
Location: New Mexico State University
Cost: Up to $8,400 (need-based; financial aid available)
Acceptance Rate: Highly selective (10% or lower, estimated)
Dates: Mid-June start (39 days)
Deadline: January 24 (international), February 21 (domestic)
Eligibility: High school juniors (ages 15–19)
The Summer Science Program uses mathematics as a core tool in studying astrophysics, especially in calculating asteroid orbits. You work in small teams to collect observational data and use programming, often Python, to process and analyze results. The program requires applying concepts from algebra, calculus, and physics in a structured research setting. You follow a fixed schedule with both theoretical and practical components. Collaboration is central, as you work through calculations and refine results together. The work builds toward a final set of computed orbital data. This shows how mathematics is used in scientific research.
Location: Albuquerque Academy, NM
Cost: Varies by course
Acceptance Rate: Not specified
Dates: June 10 – July 19
Deadline: Registration opens in February
Eligibility: High school students
The Albuquerque Academy Think Summer program provides high school students with a flexible academic environment to continue learning during the summer months. With a dedicated math track, the program allows you to deepen your understanding of mathematical concepts through structured coursework. You can select from a variety of classes tailored to different interests and skill levels, ranging from introductory topics to more advanced material. Courses are designed to build on prior knowledge while encouraging analytical thinking and problem-solving. The program offers both part-day and full-day options, allowing you to customize your learning experience.
Location: University of New Mexico, Albuquerque, NM
Cost: Varies; check official website for current pricing
Acceptance Rate: Not specified
Dates: June 21–26
Deadline: Admissions details typically released in November
Eligibility: Ages 9–16 (high school students in 9th and 10th grade); parents/adults accompany students as part of the residential format
Campersand is a one-week residential math camp held on the UNM campus for students who enjoy exploring mathematical ideas deeply and without limits. The program is co-organized by faculty from UNM's Department of Mathematics and Statistics, including the director of the UNM-PNM Statewide Math Contest, and has grown from 47 participants to over 100. Unlike competition-prep programs, Campersand deliberately focuses on exploration rather than acceleration, introducing you to topics such as topology, number theory, elliptic curves, algorithmic thinking, and the foundations of computer science through sessions led by research mathematicians and graduate students. Classes are designed to begin from your intuition and build toward college-level material, so prior exposure to advanced topics is not required.
Location: Online (by Art of Problem Solving)
Cost: Paid (varies by course)
Acceptance Rate: Open enrollment (placement-based)
Dates: Year-round sessions
Deadline: Rolling
Eligibility: Grades 5–12
AoPS Online Programs focus on building strong problem-solving skills through courses that go beyond standard school mathematics. You work through topics such as number theory, combinatorics, and algebra at a level often used in math competitions. Classes are interactive, with discussions and problem sets that require detailed reasoning. You are expected to explain your thinking clearly, especially when solving multi-step problems. The program includes students from different backgrounds, which adds variety to discussions. The structure is consistent across sessions, with regular assignments and instructor feedback.
Location: Online
Cost: $3,750 (Online); financial aid offered
Acceptance rate/cohort size: Very selective; 40 students (Residential), 64 students (Online)
Dates: Online: June 16 - July 4, or July 7 - 25
Application Deadline: February 2
Eligibility: Grades 10-11 | Prior experience with proofs, geometry, and algebra required; exposure to number theory recommended | Algebraic Topology track suggests familiarity with group theory
SUMaC is a selective program designed for students interested in exploring advanced mathematics over the summer. As a participant, you will engage with mathematical concepts such as abstract algebra and number theory through lectures, group problem-solving sessions, and research. Your workload during the program will mirror college-level expectations. You will choose one of two structured academic tracks: one focused on algebra and number theory, and the other on algebraic topology. Both tracks will introduce you to ongoing areas of mathematical inquiry, the evolution of key mathematical theories, and applications of mathematics across STEM fields.
Frequently asked questions
What types of math programs are available for high school students in New Mexico?
Options include paid national laboratory internships (LANL, Sandia), quantum computing programs (QCaMP), university summer camps (NMSU STEM Camps, UNM Summer Programs, New Mexico Tech), residential academic intensives (St. John's College, Summer Science Program, Campersand), advanced mathematics competition-prep programs (AoPS, SUMaC), and independent research programs (Lumiere, HARP).
Are there free math programs for high school students in New Mexico?
Yes, several programs are free or paid. QCaMP is free and provides a learning stipend. UNM Summer Programs and NMSU STEM Camps are both free to attend. LANL internships pay approximately $17 per hour, and Sandia National Laboratories internships are also paid. Programs like Lumiere, HARP, and SUMaC charge tuition but offer financial aid for eligible students.
Which New Mexico math programs are best for students interested in research?
LANL and Sandia internships place students in professional research labs where mathematics is applied to real scientific problems. The Summer Science Program at NMSU uses mathematics and programming to calculate asteroid orbits as part of a structured astrophysics research experience. Lumiere Research Scholar Program and HARP both offer virtual mentor-guided research culminating in a formal paper.
Which programs are best for students interested in quantum computing or advanced applied math?
QCaMP is specifically designed around quantum computing, introducing linear algebra, probability, and statistics as tools for understanding quantum systems, with hands-on access to real quantum computers. The LANL and Sandia internships may also involve computational and modeling work, depending on placement.
Are there math programs in New Mexico specifically for students from underrepresented communities?
QCaMP specifically targets students from Albuquerque, Santa Fe, Gallup, and the Navajo Nation, prioritizing access for communities historically underrepresented in quantum computing and STEM fields. MIT MITES Semester, though not New Mexico-based, is a remote program that actively encourages applications from students from underrepresented racial and ethnic groups and first-generation college students.
When should I apply to math programs for high school students in New Mexico?
The Summer Science Program has the earliest deadlines, with international students closing January 24 and domestic applicants closing February 21. SUMaC closes February 2. LANL internships close April 15, and St. John's College Summer Academy closes June 1. QCaMP and Campersand post deadlines in the spring. Students should begin researching programs in the fall and prioritize January and February deadlines first.
Stephen is one of the founders of Lumiere and a graduate of Harvard College, where he earned an A.B. in Statistics. He founded Lumiere as a PhD student at Harvard Business School. Lumiere is a selective research program where students work 1-1 with a research mentor to develop an independent research paper.