AR

Unit: College of Arts and Sciences

Department: Department of Mathematics

##### Office location and address

141 Cabell Dr

Charlottesville,
Virginia
22904
##### Publications

##### Sponsored Awards

AS-MATH Zariski-dense subgroups and eigenvalue

Source: The Simons Foundation, Inc.

August 25, 2017 – May 24, 2018

AS-MATH Arithmetic and Zariski-dense Subgroups in Algebraic Groups

Source: U.S. NSF - Directorate Math. & Physical Sciences

September 15, 2013 – August 31, 2017

##### Courses

Credits: 3

This course will introduce students to the techniques and methods of mathematical research. Students will independently work with mathematical literature on a topic assigned by the instructor and present their findings in various formats (presentation, paper etc.).

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

This is the second semester of a two semester sequence for the purpose of the completion of a Distinguished Major Thesis. A faculty member guides the student through all phases of the process which culminates in an open presentation of the thesis to an audience including a faculty evaluation committee. Prerequisite: MATH 4900.

Credits: 3

Covers the representation theory of finite groups/other interactions between linear & abstract algebra. Topics include: bilinear & sesquilinear forms & inner product spaces/important classes of linear operators on inner product spaces/the notion of group representation/complete reducibility of complex representations of finite groups/character theory/some applications of representation theory. Prerequisite: MATH 3351 or 4651/MATH 3354 or 4652.

Credits: 3

Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.

Credits: 3

Studies selected topics in algebraic or analytic number theory

Credits: 3

Studies the foundations of algebraic geometry.

Credits: 3

Galois-Grothendieck Seminar

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.