Research
Research Area: Finite Fields and Applications, Discrete Mathematics, Algebra and Number Theory
Research Interests: finite
fields and applications in cryptography and coding theory; combinatorics; 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.
Editorial Work:
·
Editorial board member of the journal Finite Fields and their Applications, Elsevier.
· Editorial board member of the journal Cryptography, MDPI.
Publications
Students and Visitors
Ottawa-Carleton Combinatorics and Optimization
Seminar
Awards and Grants
Teaching
Winter 2018
Math3802A Combinatorial Optimization, Winter 2018. See CUlearn for more details. See here for topics actually covered in the class.
Courses taught in previous terms
- Math4907A Advance Honours Seminar, Fall 2016.
- Math3107A Linear Algebra III, Winter 2016. See here for more detail.
- Math3825A/Math3855A/Comp3805A Discrete Structures and Applications, Winter 2016. See here for more detail.
- Math3801A Linear Programming, Fall 2015. See here for more detail.
- Math4109A/Math6101F Fields and Coding Theory, Fall 2015. See here for more detail.
- Math3802A Combinatorial Optimization, Winter 2015. See CUlearn for more details. See here for topics actually covered in the class.
- Math3825A/3855A Discrete Structures and Applications , Winter 2015. See CUlearn for more details. See here for topics actually covered in the class.
- Math1104E Linear Algebra for Engineering or Science, Fall 2014.
- Math3809AIntroduction to Number Theory and Cryptography, Fall 2014.
- Math3802A Combinatorial Optimization, Winter 2015. See CUlearn for more details. See here for topics actually covered in the class.
- Math3825A/3855A Discrete Structures and Applications , Winter 2015. See CUlearn for more details. See here for topics actually covered in the class.
- Math1104F Linear Algebra for Engineering or Science, Winter 2014.
See here for more detail.
- Math3158ARings and Fields, Winter 2014.
See here for more detail.
- Math4109A/Math6101F Fields and Coding Theory, Fall 2013. See here for more detail.
- Math4805/Math5605F Theory of Automata, Fall 2013. See here for more detail.
- Math1104F Linear Algebra for Engineering or Science, Winter 2013.
See here for more detail.
- Math3825A/Math3855A Discrete Structures and Applications, Winter 2013.
See here for more detail.
- Math2108A Abstract Algebra I /Math3101A Algebraic Structures with Computer Applications, Fall 2012.
See here for more detail.
- Math4109A/Math6101F Fields and Coding Theory, Fall 2012. See here for more detail.
- 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.
- 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
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