Columbia University

What you'll study

The programme builds a core of classical and modern physics, applied mathematics and astronomy. Early years emphasise calculus, differential equations, introductory and intermediate physics (mechanics, electromagnetism, quantum concepts) and introductory astronomy. As you progress you move into specialised astronomy and astrophysics topics, practical observational techniques and computational methods.

• Core physics and maths: multivariable calculus, linear algebra, differential equations, classical mechanics, electromagnetism, statistical mechanics and quantum mechanics.
• Foundation astronomy: stellar structure and evolution, planetary science, radiative processes, galactic and extragalactic astronomy, and observational astronomy.
• Advanced and elective topics: cosmology, high-energy astrophysics, black holes and compact objects, star and planet formation, spectral line diagnostics and astrochemistry.
• Computational and instrumental skills: scientific programming (Python/Fortran/IDL), numerical methods, data analysis, signal processing, and laboratory-based observational projects.
• Laboratory and observing experience: hands-on labs, telescope observing projects (instrumentation and data reduction), and use of archival survey data and simulations.
• Independent research: opportunities to undertake senior thesis or directed research with faculty in theoretical, observational or instrumental astrophysics.

The curriculum balances lectures, problem-solving seminars, laboratory sessions and supervised research. Students typically mix department-specific requirements with the broader liberal arts curriculum administered by Columbia College or the School of General Studies.

Entry requirements

Admission to Columbia is competitive and based on academic record, letters of recommendation, personal statement and demonstrated preparation for a demanding STEM programme. Successful applicants usually present strong performance in mathematics (including calculus) and physics at secondary level. Prospective students should highlight prior coursework, independent projects or research experience where applicable.

• Typical academic background: high school curriculum with advanced mathematics (calculus preferred) and physics. For international applicants, the equivalent rigorous secondary qualifications are expected.
• Standardised tests: Columbia evaluates applications holistically; submission of standardised test scores may be optional depending on current university policy, but competitive applicants often have strong scores if submitted.
• Recommendations and personal statement: at least one science teacher or mentor who can attest to quantitative ability and intellectual potential; a statement that conveys enthusiasm for astrophysics and any relevant experience (research projects, programming, observatory work).
• Preparation for transfer or advanced standing: students seeking credit for prior university coursework should provide official transcripts and course descriptions; calculus and introductory physics courses are commonly considered for placement.

Career prospects

Graduates leave with a rigorous quantitative toolkit applicable to both research and industry. Many continue to graduate study in astronomy, astrophysics, physics or closely related fields; others move directly into technical roles.

• Academic and research careers: PhD programmes, postdoctoral research and positions at observatories, space agencies or national laboratories.
• Technical and data roles: data scientist, software engineer, quantitative analyst, or roles in machine learning and computational modelling where strong numerical skills are valued.
• Industry and government: aerospace and satellite engineering firms, science policy, instrumentation and remote sensing, and technology companies requiring rigorous problem-solving ability.
• Education and communication: teaching, museum or planetarium work, and science communication and outreach roles.

Why study at Columbia University

Columbia offers access to active research groups in observational, theoretical and instrumental astrophysics, enabling undergraduates to work alongside faculty on current projects. The department's connections with major observatories and space-science laboratories provide pathways to hands-on observing, instrumentation development and exposure to large survey datasets.

• Research opportunities: readily available faculty-led research projects and the possibility of a senior thesis or summer research placements.
• Interdisciplinary environment: proximity to strong departments in physics, applied mathematics and engineering fosters interdisciplinary projects in computational astrophysics and instrumentation.
• Resources and location: access to university computing resources, seminars by visiting scientists, and the broader scientific community in New York City for internships and collaborations.
• Student support: departmental advising, peer study groups, and student societies focused on astronomy that connect students with observing nights, outreach and career development.