Program Description Detail

HTTP 200 OK
Allow: GET, PUT, PATCH, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "id": 291959,
    "description_type": {
        "id": 4,
        "name": "Source Catalog Description"
    },
    "description": "<p style=\"font-weight: 400;\">The Mathematics PhD program provides a comprehensive and rigorous foundation in both pure and applied mathematics, with a strong focus on research excellence. It aims to cultivate the next generation of mathematical thinkers, capable of discovering, integrating, and applying advanced knowledge to solve real-world problems.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">This program goes far beyond technical training, fostering the development of advanced mathematical expertise and deep analytical thinking. It equips students to tackle complex challenges with a critical and innovative mindset, empowering them to make meaningful contributions across a broad range of projects and disciplines. With a curriculum designed to address the technological challenges of the 21st century, graduates are exceptionally prepared for academic careers and leadership roles in industry, government, and beyond.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">The program offers high-quality instruction in several core mathematical areas, including Analysis, Geometry &amp; Topology, Algebra, Discrete Mathematics, Computational Mathematics, Probability and Financial Mathematics, and Applied Mathematics. Students can tailor their education by specializing in one or more cutting-edge research topics, such as:</p> <p style=\"font-weight: 400;\"> </p> <ul> <li>Big Data and Mathematical Statistics</li> <li>Cryptography</li> <li>Combinatorics and Graph Theory</li> <li>Commutative Algebra and Algebraic Geometry</li> <li>Control and Optimization</li> <li>Differential and Symplectic Geometry</li> <li>Financial Mathematics</li> <li>Fluid and Plasma Dynamics</li> <li>Free Boundary Problems</li> <li>Functional Analysis</li> <li>Harmonic Analysis</li> <li>Inverse Problems</li> <li>Machine Learning</li> <li>Mathematical Biology</li> <li>Nonlinear Waves and Dynamics</li> <li>Numerical Analysis</li> <li>Partial Differential Equations</li> <li>Probability and Stochastic Analysis</li> <li>Tomography and Medical Imaging</li> </ul> <p style=\"font-weight: 400;\">To accommodate this wide range of interests, the program offers flexibility in core course selection and candidacy examinations, ensuring students receive a tailored educational experience. With opportunities to engage in interdisciplinary research, the program equips students to thrive in both traditional and emerging fields.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">The Mathematics PhD program requires <strong>72 credit hours of coursework</strong> beyond the bachelor’s degree. In addition, the program offers a Financial Mathematics Track, providing specialized training for students interested in the intersection of mathematics and finance. Details about this track can be found at the bottom of this page.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">The program is structured into three key phases: (i) <strong>Foundational Training in Mathematics</strong>, (ii) <strong>Pathway to Specialized Expertise</strong>, and (iii) <strong>Dissertation</strong>. Successful completion of each phase marks significant milestones in the student’s academic journey: qualification, candidacy status, and graduation, respectively.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">In the first phase, students engage with a broad range of mathematical topics designed to establish a strong and comprehensive foundation in key concepts. These courses emphasize mathematical rigor and play a critical role in shaping students' analytical skills, ensuring they develop the intellectual framework needed for advanced study.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">The second phase focuses on advanced and specialized coursework tailored to deepen students' expertise in their chosen field. This stage is essential for facilitating research readiness and equipping students with the knowledge required for meaningful inquiry. Completion of this phase signals the transition to <strong>Ph.D. candidacy</strong>, after which students begin accumulating dissertation hours.</p> <p style=\"font-weight: 400;\">The third and final phase is the dissertation, during which students collaborate closely with their Ph.D. advisor(s) and committee to develop a substantial and original research project, that makes a meaningful contribution to their field of study.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\">Master <em>en route</em> is permitted and encouraged.</p> <p style=\"font-weight: 400;\"> </p> <p style=\"font-weight: 400;\"><strong>Total Credit Hours Required: 72 Credit Hours Minimum beyond the Bachelor's Degree</strong></p>",
    "primary": false,
    "program": 1311
}