Weiqiang Wang headshot

Weiqiang Wang

Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
323 Kerchof Hall
141 Cabell Dr
Charlottesville, Virginia 22904
AS-MATH Canonical bases, categorification, and modular representations
Source: U.S. NSF - Directorate Math. & Physical Sciences
June 01, 2017 – May 31, 2020
AS-MATH Representation theory and quantum symmetric pairs
Source: U.S. NSF - Directorate Math. & Physical Sciences
June 15, 2014 – May 31, 2017
Representations of Lie Superalgebras, Hecke Algebras and Affine Algebras
Source: U.S. NSF - Directorate Math. & Physical Sciences
August 15, 2011 – July 31, 2014
MATH 3000: Transition to Higher Mathematics
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.
MATH 3354: Survey of Algebra
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.
MATH 4040: Discrete Mathematics
Credits: 3
Includes combinatorial principles, the binomial and multinomial theorems, partitions, discrete probability, algebraic structures, trees, graphs, symmetry groups, Polya's enumeration formula, linear recursions, generating functions and introduction to cryptography, time permitting. Prerequisite: MATH 1320 and a proof-based course (MATH 3000, MATH 3310 or MATH 3354) or instructor permission.
MATH 4651: Advanced Linear Algebra
Credits: 3
Review of topics from Math 3351 including vector spaces, bases, dimension, matrices and linear transformations, diagonalization; however, the material is covered in greater depth with emphasis on theoretical aspects. The course continues with more advanced topics including Jordan and rational canonical forms of matrices and introduction to bilinear forms. Additional topics such as modules and tensor products may be included. Prerequisite: MATH 3351
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 4993: Independent Study
Credits: 1–3
Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.
MATH 7754: Algebra IV
Credits: 3
Further topics in algebra.
MATH 8700: Lie Groups
Credits: 3
Studies basic results concerning Lie groups, Lie algebras, and the correspondence between them.
MATH 8852: Representation Theory
Credits: 3
Studies the foundations of representation and character theory of finite groups.
MATH 9995: Independent Research
Credits: 3–9
Independent Research
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.