Andrei Rapinchuk

Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
141 Cabell Dr
Charlottesville, Virginia 22904
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
MATH 4840: Introduction to Mathematical Research
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.).
MATH 4900: Distinguished Major Thesis
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.
MATH 4901: Distinguished Major Thesis
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.
MATH 5657: Bilinear Forms and Group Representations
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.
MATH 7751: Algebra I
Credits: 3
Studies groups, rings, fields, modules, tensor products, and multilinear functions. Prerequisite: MATH 5651, 5652, or equivalent.
MATH 8510: Topics in Number Theory
Credits: 3
Studies selected topics in algebraic or analytic number theory
MATH 8620: Algebraic Geometry
Credits: 3
Studies the foundations of algebraic geometry.
MATH 9410: Galois-Grothendieck Seminar
Credits: 3
Galois-Grothendieck Seminar
MATH 9999: Non-Topical 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.