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The Mathematics Department's Ph.D. program boasts a strong reputation across diverse fields, including pure mathematics areas like algebraic geometry, commutative algebra, differential geometry, geometric topology, group and representation theory, and number theory, as well as applied disciplines such as materials and fluids, mathematical biology, mathematical finance, numerical analysis, partial differential equations, probability, and statistics. The University of Utah's Mathematics Department is dedicated to maintaining outstanding research and teaching standards for both graduate and undergraduate students. Its core objectives are: To deliver a thorough and impactful mathematics education to every University of Utah student, whether they are general learners, professionals utilizing mathematics, aspiring engineers or scientists, or future mathematicians. To make substantial contributions to advancing mathematical concepts and methodologies, both within the field itself and for those applying mathematics in other disciplines or industries. To enhance public awareness of mathematics and its vital role in scientific and technological advancements.