Research
Research Area: Discrete Mathematics,
Algebra and Number Theory
Research Interests: combinatorics; finite
fields and applications in cryptography and coding theory; number theory;
semigroups and semigroup algebras; universal algebra. In particular,
· polynomials/functions over finite
fields, for exmaple, irreducible polynomials, permutation polynomials, planar functions, Boolean functions,
etc.
· sequences over finite fields, for
example, FSR sequences, generalized Lucas sequences, linear complexity, correlations, etc.
· applications of finite fields in Coding
theory and Cryptography; for example, nonlinearity of functions over finite
fields, S-boxes, etc.
· combinatorial designs, for example,
Latin squares, Costas arrays, Tuscan arrays, orthogonal arrays, etc.
· arithmetic properties of group rings,
semigroup rings, and semigroups.
· special classes of semigroups and
algebras.
Publications
Ottawa-Carleton Combinatorics and Optimization
Seminar
A link to some interesting conferences
Teaching
Fall 2011
Math3809A Introduction to Number Theory and CryptographyFall 2011. See here for more detail.
Math2108B Abstract Algebra I
/Math3101B Algebraic Structures with Computer Applications,
Fall 2011. See here for more detail.
Courses taught in previous terms
- Math4109A/Math6101W Fields and Coding Theory, Winter 2011.
- Math2108B Abstract Algebra I
/Math3101B Algebraic Structures with Computer Applications,
Winter 2011.
- Math1104A Linear Algebra for Engineering or Science, Fall 2009. See here for more detail.
- Math3101A Algebraic Structures with Computer Applications, Fall 2009. See here for more detail.
- Math3101B Algebraic Structures with Computer Applications, Winter 2009. See here for more detail.
- Math3801A Linear Programming, Winter 2009. See here for more detail.
- Math3809A Introduction Number Theory and Cryptography , Fall 2008. See WebCT for more details.
- Math5609 Topics in combinatorial mathematics , Fall 2008.
- MATH 1102A Algebra. More detailed information will be found here.
Winter 2008
- MATH 3825A, Discrete Structures and Applications, More detailed information will be
found here.
Winter 2008
- Math1102A Algebra , Fall 2007.
- Math4109A/6101F Fields and coding theory , Fall 2007.
- MATH 3825A Discrete Structures and applications
More detailed information will be found here. Winter 2007
- MATH 2107C Linear Algebra II More
detailed information can be found here. Winter 2007.
- MATH 3809A Introduction to number theory and
cryptography Fall 2006.
- MATH 4109A/6101F Fields and Coding Theory Fall
2006.
- MATH 3805B Discrete Structures and Applications.
Winter 2006.
- MATH 5900Y Sequence Analysis Winter
2006.
- MATH 3101A Algebraic Structures with Computer Applications.
Fall 2005
- MATH 4109A/MATH 6101A Fields and Coding Theory, Fall
2005
- MATH 3802 Combinatorial Optimization ,
Winter 2005
- MATH 5801 Linear Optimization,
Winter 2005
- MATH 3805 Discrete Structures and Applications,
Fall 2004
- MATH 3805 Discrete Structures and Applications,
Summer 2004
- MATH 3801 Linear Programming,
Winter 2004
- MATH 5801 Linear Optimization,
Winter 2004
Address
Qiang (Steven) Wang
Associate Professor
School of Mathematics and Statistics
Carleton University
1125 Colonel By Drive, Ottawa, Ontario
K1S 5B6
Office: HP4368
Tel: (613)520-2600 ext 2139
e-mail: wang at math dot carleton dot ca