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The Department of Applied Physics focuses on solving technological and scientific challenges through the lens of physics. The department has a long tradition of building tools, from solid-state lasers to the atomic force microscope, with many advances becoming foundational in new fields of research and industries. Applied Physics has four main research areas: nano science and quantum engineering, lasers and particle accelerators, condensed matter physics, and experimental and theoretical biophysics.

Through collaboration and joint appointments with electrical engineering, biology, chemistry, and SLAC National Accelerator Laboratory, faculty and graduate students work on innovative concepts in foundational and applied physics that advance the boundaries of science.

Stanford’s undergraduate physics program offers a solid foundation in classical and modern physics in a top-ranked department. Courses in physics reveal the mathematical beauty of the universe at scales ranging from subatomic to cosmological. The program also includes labs in which students can develop their own experiments. Astronomy, astrophysics, and cosmology courses are also offered through the department.

Graduate students have opportunities to pursue research in astrophysics, cosmology, particle physics, atomic and laser physics, and condensed matter physics. In addition to working with leading faculty in both physics and applied physics, students collaborate with researchers in the schools of engineering and medicine and at SLAC National Accelerator Laboratory.

View highlights of the physics department's undergraduate offerings.

Graduate joint degree offered: MD/PhD

The undergraduate mathematics program encompasses the full range of pure and applied mathematics. The major is flexible at incorporating math-related coursework in nearby areas such as physics, machine learning, cryptography, and finance. The department provides students with opportunities for extensive experience with logical reasoning, generalization, and proofs to communicate sound arguments, as well as the creation and interpretation of mathematical models for reliable data analysis (such as in computer science and computational biology). Undergraduates can earn a major or minor in mathematics. Many mathematics majors earn a double major followed by either graduate school in mathematics or nearby fields, or a career in the corporate sector, tech industries, or government agencies.

The expertise among the faculty covers the traditional areas of pure mathematics (algebra, analysis, and geometry) along with fields nearer to computer science (such as probability and combinatorics) and applied mathematics. There are graduate courses in a wide array of areas at the introductory and advanced levels due to the breadth of the faculty, some of whom have a joint appointment in the statistics department. The department hosts many distinguished visitors throughout the year and there are numerous weekly seminars on topics related to contemporary research.

View highlights of the mathematics department's undergraduate offerings.

The Stanford Biophysics Program is an interdisciplinary, interdepartmental graduate training program that leads to a doctoral degree. It brings together faculty from more than a dozen departments in the Schools of Humanities and Sciences, Medicine, and Engineering, as well as the Stanford Synchrotron Radiation Laboratory. Research in Biophysics applies the principles of chemistry and physics to solving biological problems with the help of the latest methodologies, such as computational biology and molecular analysis.

The program trains students to approach biological problems quantitatively. With the benefit of advanced coursework and exceptional facilities—including the Lucas Center for Imaging, which houses multiple whole-body MRI systems—students develop the skills needed to direct their own research to address critical problems in the field.