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Unit: College of Arts and Sciences

Department: Department of Mathematics

##### Office location and address

141 Cabell Dr

Charlottesville,
Virginia
22904
##### Publications

##### Sponsored Awards

Spirit of Ramanujan STEM Talent Initiative

Source: Templeton World Charity Foundation

March 03, 2020 – September 30, 2023

Algebraic and Arithmetic Statistics

Source: National Security Agency

May 16, 2021 – May 15, 2022

REU Site: Algebra and Number Theory at the University of Virginia

Source: U.S. National Science Foundation (NSF)

October 01, 2019 – April 30, 2022

REU Site: Algebra and Number Theory at the University of Virginia

Source: National Security Agency

April 22, 2020 – April 21, 2021

##### Courses

Credits: 4

Covers basic concepts with an emphasis on writing mathematical proofs. Topics include logic, sets, functions and relations, equivalence relations and partitions, induction, and cardinality. Prerequisite: Math 1320; and students with a grade of B or better in Math 3310, 3354, or any 5000-level Math course are not eligible to enroll in Math 3000.

Credits: 3

Surveys major topics of modern algebra: groups, rings, and fields. Presents applications to areas such as geometry and number theory; explores rational, real, and complex number systems, and the algebra of polynomials. Students without prior experience constructing rigorous proofs are encouraged to take Math 3000 before or concurrently with Math 3354. Prerequisite: MATH 1320.

Credits: 3

This course provides a framework for the completion of a Distinguished Major Thesis, a treatise containing an exposition of a chosen mathematical topic. A faculty advisor guides a student through the beginning phases of the process of research and writing. Prerequisite: Acceptance into the Distinguished Major Program.

Credits: 3

The study of the integers and related number systems. Includes polynomial congruences, rings of congruence classes and their groups of units, quadratic reciprocity, diophantine equations, and number-theoretic functions. Additional topics such as the distribution of prime numbers may be included. Prerequisite: MATH 3354.

Credits: 3

Studies selected topics in algebraic or analytic number theory

Credits: 1–12

For master's thesis, taken under the supervision of a thesis director.

Credits: 1–3

Discusses topics from number theory.

Credits: 3–9

Independent Research

Credits: 1–12

The Mathematics Colloquium is held weekly, the sessions being devoted to research activities of students and faculty members, and to reports by visiting mathematicians on current work of interest. For doctoral dissertation, taken under the supervision of a dissertation director.