Florida State University

What you'll study

The programme combines advanced coursework, qualifying examinations, and original research leading to a dissertation in computational mathematics. Core study areas typically include numerical analysis, scientific computing, partial differential equations, numerical linear algebra, approximation theory and optimisation. Students also study complementary topics such as high-performance computing, computational statistics, numerical methods for stochastic systems and software development for scientific applications.

Programme structure normally involves an initial phase of coursework and seminars to build a broad theoretical and computational foundation, followed by research under a faculty advisor. Typical activities include weekly research seminars, reading courses, computational labs, collaborative projects with applied departments, and teaching experience through graduate assistantships. Students develop both rigorous analysis skills (error estimates, convergence theory) and practical competencies (parallel programming, algorithm implementation, reproducibility and verification).

Entry requirements

Competitive applicants normally hold a strong undergraduate or master’s degree in mathematics, applied mathematics, computational science, physics, engineering or a closely related field, with substantial coursework in advanced calculus/real analysis, linear algebra, differential equations, and numerical methods. Experience with programming (for example Python, C/C++ or MATLAB) and familiarity with algorithms and scientific computing is expected.

Typical application materials required by the department include academic transcripts, a statement of purpose outlining research interests, a curriculum vitae, and at least three academic letters of recommendation. Applicants with a master’s thesis or significant research experience in relevant areas are strongly encouraged. Prospective students should consult the department’s graduate admissions page for details on required documents, funding opportunities and any standardised test policies.

Career prospects

Graduates of the PhD in Computational Mathematics pursue careers in a variety of sectors. Common paths include postdoctoral research and faculty positions in mathematics, applied mathematics and computational science; research scientist roles at national laboratories and government research centres; and technical leadership in industry areas such as computational engineering, quantitative finance, data science, machine learning, scientific software development and high-performance computing.

Graduates are prepared to design and analyse algorithms for large-scale simulations, develop reliable numerical solvers, apply mathematical modelling to interdisciplinary problems, and lead teams building scientific computing infrastructure or algorithmic products.

Why study at Florida State University

Florida State University offers a research-active mathematics department with faculty working across theoretical and applied aspects of computational mathematics. The university provides access to institutional high-performance computing resources and encourages interdisciplinary collaboration with neighbouring departments such as physics, engineering, statistics and computer science. Graduate students benefit from a range of funding mechanisms including graduate assistantships, opportunities to teach, and research support from faculty grants.

Students at FSU gain mentorship from faculty engaged in computational and numerical research, participate in a vibrant seminar and workshop culture, and can collaborate on projects that connect mathematical theory to real-world computational challenges. The department’s size and research breadth create an environment where students can pursue specialised research while maintaining connections to applied communities and career networks.