Dr. Kevin Vander Meulen

Professor of Mathematics

Director of Research

Phone: (905) 648-2139   Ext:4238

Email: kvanderm@redeemer.ca

Office: 221G

Programs: Mathematics


Ph.D. (1995), Mathematics and Statistics, Queen’s University

M.Sc. (1991), Mathematics and Statistics, Queen’s University

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


  • Introductory Linear Algebra (MAT-126)
  • Discrete Mathematics (MAT-217)
  • Mathematical Biology (MAT-318)
  • Modern Geometry (MAT-321)
  • Linear Algebra (MAT-336/436)
  • Graph Theory (MAT-317/417 )

Research Interests

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

Recent Research Funding

  • Combinatorial matrix analysis and algebra, NSERC Discovery Grant 2016-2021

Recent Publications

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.

Recent Presentations

“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.

Professional Memberships and Associations

Cross Appointments

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

Relevant Links

Professor Vander Meulen’s homepage