### Education

### Courses

- Calculus II (MAT-122)
- Introductory Linear Algebra (MAT-126)
- Discrete Mathematics (MAT-217)
- Mathematical Biology (MAT-318)
- Modern Geometry (MAT-321)

*Professor of Mathematics*

Director of Research

Chair of Computer Science, Mathematics and Physics Departments

Phone: 9056482139 Ext:4238

Email: kvanderm@redeemer.ca

Office: 221G

Department: Mathematics

Ph.D. (1995), Mathematics and Statistics, Queen’s University
Dissertation: Covers and Decompositions of Graphs by Complete Multipartite Subgraphs

M.Sc. (1991), Mathematics and Statistics, Queen’s University
Thesis: Induced Subgraphs of Kneser Graphs

B.Sc. Hon (1989), Mathematics, Calvin College

- Calculus II (MAT-122)
- Introductory Linear Algebra (MAT-126)
- Discrete Mathematics (MAT-217)
- Mathematical Biology (MAT-318)
- Modern Geometry (MAT-321)

- Linear algebra: combinatorial matrix analysis, sign patterns, inertia
- Graph theory: decomposition problems, eigenvalue problems
- History/philosophy of mathematics

- Combinatorial and Spectral Analysis of Matrix Patterns, NSERC Discovery Grant 2011-2016
- Combinatorial Matrix Theory, NSERC Discovery Grant 2006-2011

B. Eastman, I. J. Kim, B. Shader, and K Vander Meulen, “Companion Matrix Patterns,” *Linear Algebra and its Applications*, Vol. 463 (2014) pp. 255-272.

K. Vander Meulen, A. van Tuyl, and Catriona Watt, “Cohen-Macaulay Circulant Graphs,”*Communications in Algebra*, Vol. 42 (2014), 1896-1920.

M. Cavers, C. Garnett, I.-J. Kim, D. Olesky, P. van den Driessche, and K. Vander Meulen, “Techniques for Identifying Inertially Arbitrary Patterns,” *Electronic Journal of Linear Algebra*, Vol. 26 (2013), pp. 71-89.

Natalie Campbell, K. Vander Meulen, and A. van Tuyl, “Structure of nilpotent matrices over fields,” *Electronic Journal of Linear Algebra*, Vol. 22 (2011), pp. 931-958.

Hannah Bergsma, K. Vander Meulen, and A. van Tuyl, “Potentially nilpotent patterns and the nilpotent-Jacobian method,” *Linear Algebra and its Applications,* Volume 436, Issue 12, 15 June 2012, pp. 4433–4445.

J. Bradley, R. Howell, and K. Vander Meulen, “Ontology” in J. Bradley and R. Howell (eds.) *Mathematics Through the Eyes of Faith*, HarperOne, 2011.

K. Vander Meulen and A. van Tuyl, “Zero-nonzero patterns for nilpotent matrices over finite fields,” *Electronic Journal of Linear Algebra*, Vol. 18 (2009), pp. 628-648.

M.S. Cavers, K. Vander Meulen and Loretta Vanderspek, “Sparse inertially arbitrary patterns,” *Linear Algebra and its Applications*, Vol. 431 (2009), pp. 2024–2034.

I.-J. Kim, B. Shader, P. van den Driessche, H. van der Holst, and K. Vander Meulen, “Generating potentially nilpotent full sign patterns,” *Electronic Journal of Linear Algebra*, Vol. 18 (2009), pp. 162-175.

AIM minimum rank – special graphs work group, “Zero forcing sets and the minimum rank of graphs.” *Linear Algebra and its Applications*, Vol. 428(7) (2008), pp. 1628-1648. Special graphs work group members: F. Barioli, W. Barrett, S. Butler, S. Cioaba, D. Cvetkovic, S. Fallat, C. Godsil, W. Haemers, L. Hogben, R. Mikkelson, S. Narayan, O. Pryporova, I. Sciriha, W. So, D. Stevanovic, H. van der Holst, K. Vander Meulen and A. Wangsness.

M.S. Cavers, R.J. Elzinga, D.A. Gregory, Sarah Vanderlinde, K. Vander Meulen, “Clique partitions of distance multigraphs,” *Discrete Mathematics*, Vol. 308(15) (2008), pp. 3230-3240.

“Mathematics as cultural activity,” Hamilton Area Science and Religion Forum, McMaster University, Feb. 27, 2015.

“Companion matrix developments,” 2015 Joint Mathematics Meetings, San Antonio, Texas, Jan. 13, 2015.

“Spectrally arbitrary pattern extensions,” 19th International Linear Algebra Society Conference, Sungkyunkwan University, Seoul, Korea, Aug. 9, 2014.

“A neo-Kuyperian approach to mathematics; mathematics as culture-making,” ASA/CSCA/CiS Annual Convention, McMaster University, July 28, 2014.

“Companion matrix patterns,” Graph Theory, Matrix Theory and Interactions, Queen’s University, Kingston, ON, June 21, 2014.

“Companion matrices and spectrally arbitrary patterns,” ILAS (International Linear Algebra Society) 2013 Meeting, minisymposium on Advances in Combinatorial Matrix Theory and its Applications, Providence, Rhode Island, June 3, 2013.

“Nilpotent and spectrally arbitrary patterns over C,”AMS Special Session on Matrices and Graphs II, 2012 Joint Mathematics Meetings, Boston, MA, January 7, 2012.

“Index of nilpotent matrices and the nilpotent-Jacobian method,” Session on Combinatorial Matrix Theory, *Canadian Mathematical Society Summer Meeting*, Edmonton, AB, June 3, 2011.

“Mathematics as a Language,” inaugural address, Redeemer University College, March 11, 2011.

“Structure of Nilpotent Matrices,” Western Canada Linear Algebra Meeting, AB, May 8, 2010.

“Nilpotent zero-nonzero patterns over finite fields,” Minisymposium on Spectral Properties of Sign and Zero-Nonzero Patterns, SIAM Conference on Applied Linear Algebra, Monterey CA, October 28, 2009.

“Historical Perspectives on Probability,” 17th Biennial Conference of the ACMS, Wheaton College, Wheaton, Il, May 27-30, 2009.

“Potentially Nilpotent Full Sign Patterns,” AMS Special Session on Spectra of Matrix Patterns and Applications to Dynamical Systems, 2009 Joint Mathematics Meetings, Washington D.C., January 6-8, 2009.

- Association for Christians in the Mathematical Sciences
- Canadian Mathematical Society
- International Linear Algebra Society
- Society for Industrial and Applied Mathematics

Adjunct Professor of Mathematics, Department of Mathematics and Statistics, McMaster University