PhD in Mathematics

Tuition is 60,816 USD per year, and applications for the Sep 2027 intake close on Dec 15, 2026.

The PhD in Mathematics at California Institute of Technology is for students who have a Master's degree and want to study mathematics in depth. This 4-year PhD program helps students develop advanced knowledge in mathematics. The program's main advantages include studying at a top university and being part of a strong research community.

The curriculum includes subjects like algebra, geometry, and number theory. Students develop skills in problem-solving, mathematical modeling, and computational methods. They also get hands-on experience with mathematical software and programming languages.

Graduates can work as Mathematicians, Data Analysts, or Cryptographers. They can also find jobs as Professors or Researchers at universities and institutes. Top employers include tech companies, financial institutions, and government agencies.

California Institute of Technology (Caltech) in Pasadena is internationally renowned for its focus on science and engineering and for a research environment that emphasizes discovery and innovation. Founded in 1891, Caltech combines small class sizes with world-class faculty and a culture that encourages independent inquiry. The institute’s achievements in fundamental research and technology transfer make it a top choice for students seeking an intensive STEM education and close mentorship from leading scholars.

Caltech offers a compact, high-impact academic setting where undergraduates and graduate students participate directly in cutting-edge projects across physics, biology, engineering and computation. Research opportunities are abundant and accessible, with students contributing to labs, observatories and centers that address global challenges. The collaborative, interdisciplinary approach cultivates both deep technical expertise and the ability to work across fields.

As a relatively small campus community, Caltech provides strong academic support, mentorship and networking in the greater Los Angeles research ecosystem. For international students drawn to rigorous STEM training, Caltech delivers concentrated resources, hands-on research experiences and pathways to meaningful scientific contribution in industry, academia and public service.