Education 
 B.Sc.(Hon.), Calvin College, Grand Rapids, Michigan
 M.Sc., Queen's University, Kingston, Ontario: "Induced Subgraphs of Kneser Graphs"
 Ph.D., Queen's University, Kingston, Ontario: "Covers and Decompositions of Graphs by Complete Multipartite Subgraphs"

Teaching 
During the academic year 2016/17, I am scheduled to teach/supervise:
Fall semester
 On Sabbatical
 MAT 341: Real Analysis (ind. study)
 MAT 417: Graph Theory (ind. study)

Winter Semester
 MAT 215: Statistics
 MAT 231: Differential Equations
 MAT 331: Abstract Algebra


Research 
I particularly enjoy having students participate in research with me. My research interests include:
 linear algebra: combinatorial matrix analysis, sign patterns, inertia
 graph theory: decomposition problems, eigenvalue problems.
I also like to explore
the history and philosophy of mathematics.

Publications 
Names in bold are students who
have participated in summer undergraduate student research projects
sponsored by NSERC's Undergraduate
Student Research Awards program.
 K. Vander Meulen and A. Van Tuyl,
"Shellability, vertex decomposability, and
lexicographical products of graphs,"
Contributions to Discrete Mathematics, to appear.
 B. Eastman, and K. Vander Meulen,
"Pentadiagonal companion matrices,"
Special Matrices, Vol. 4 (2016), 1326.
 Jonathan Earl, K. Vander Meulen, and A. Van Tuyl,
"Independence
complexes of wellcovered circulant graphs,"
Experimental Mathematics, Vol. 25 (2016), 441451.
 Brydon Eastman, B. Shader, and K. Vander Meulen,
"Sparse spectrally arbitrary patterns," Electronic Journal of Linear Algebra,
Vol. 28 (2015) pp. 8398.
 Brydon Eastman, I.J. Kim, B. Shader, and K. Vander Meulen,
"Companion matrix patterns,"
Linear Algebra and its Applications, Vol. 463 (2014) pp. 255272.
 K. Vander Meulen, A. Van Tuyl, and Catriona Watt,
"CohenMacaulay circulant graphs,"
Communications in Algebra,
Vol. 42 (2014) pp. 18961910.
 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. 7189.
 Hannah Bergsma, K. Vander Meulen, and A. van Tuyl,
"Potentially nilpotent patterns
and the nilpotentJacobian method,"
Linear Algebra and its Applications
Vol. 436 (2012), pp. 44334445.
 Natalie Campbell, K. Vander Meulen, and A. van Tuyl,
"Structure of nilpotent
matrices over fields,"
Electronic
Journal of Linear Algebra , Vol. 22 (2011), pp. 931958.
 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,
"Zerononzero
patterns for nilpotent matrices over finite
fields,"
Electronic Journal of Linear Algebra, Vol. 18 (2009), pp. 628648.
 M.S. Cavers, K. Vander Meulen and Loretta Vanderspek,
"Sparse
inertially arbitrary patterns,"
Linear Algebra and its Applications, Vol. 431 (2009), pp. 20242034.
 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.
162175.
 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. 16281648.
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. 32303240.
 Michael S. Cavers and K. Vander Meulen,
"Inertially arbitrary nonzero patterns
of order 4,"
Electronic Journal of Linear Algebra, Vol. 16 (2007), pp. 3043
 L. DeAlba, I.R. Hentzel, L. Hogben, J. McDonald, R. Mikkelson,
O. Pryporova, B. Shader, K. Vander Meulen,
"Spectrally
arbitrary patterns: reducibility and the
2n conjecture for n=5," Linear Algebra and its Applications,
Vol. 423 (2007), pp. 262276.
 Michael Cavers, InJae Kim, Bryan Shader, and K. Vander Meulen,
"On
determining minimal spectrally arbitrary patterns," Electronic
Journal of Linear Algebra, Vol. 13 (2005), 240248
 Michael S. Cavers and K. Vander Meulen,
"Spectrally and
inertially arbitrary sign patterns," Linear Algebra and its
Applications, Vol. 394 (2005), 5372.
 Randall J. Elzinga, D.A. Gregory, and K. Vander Meulen,
"Addressing
the Petersen graph,"
Discrete Mathematics, Vol. 286 (2004), 241244.
 Katrina J. Geertsema and K. Vander Meulen,
"Decompositions
of complete multigraphs derived from Hadamard matrices," Journal of
Combinatorial Theory A , Vol. 103 (2003), 1726.
 D.A. Gregory, Brenda Heyink, and K. Vander Meulen,
"Inertia and biclique decompositions
of joins of graphs," Journal
of Combinatorial Theory B , Vol. 88 (2003), 135151.
 D.A. Gregory and K. Vander Meulen,
"Decompositions of
complete multigraphs related to Hadamard matrices,"
Journal of Combinatorial Theory A, Vol 82, No.2 (1998), 158167.
 D.A. Gregory, B. Shader, and K. Vander Meulen,
"Skewrank
decompositions,"
Linear Algebra and its Applications Vol. 244 (1996), 123154.
 D.A. Gregory, and K. Vander Meulen,
"Sharp bounds for decompositions of graphs into complete rpartite subgraphs,"
Journal of Graph Theory, Vol.21, No.4 (1996), 393400.
 D.A. Gregory, B. Shader, and K. Vander Meulen,
"Rank decompositions and signed bigraphs," Linear and Multilinear
Algebra, Vol.40, No.4 (1996), 283302.
 S. Monson, R. Rees, and K. Vander Meulen, "Clique
coverings and maximalclique partitions: An example," Journal of
Combinatorial Mathematics and Combinatorial Computing Vol. 16 (1994),
6163.

Some Presentations

 "Refined inertially arbitrary patterns," Special Session on Combinatorial Matrix Theory, AMS Sectional Meeting,
U. of St. Thomas, Minneapolis, MN October 29, 2016.
 "Intercyclic companion bounds," University of Victoria, October 20, 2016.
 "Pentadiagonal and Fiedler companion matrices," 20th ILAS Conference, KU Leuven, Belgium, July 12, 2016.
 "Spectral analysis of matrix patterns," Western Canada Linear Algebra Meeting, University of
Manitoba, May 14, 2016.
 "Refined inertia of matrix patterns,"
5th International Conference on Matrix Analysis and Applications, Nova Southeastern University, Dec. 18, 2015.
 "Mathematics as cultural activity," Hamilton Area Science and Religion Forum, McMaster University, Feb. 27, 2015
 "Companion matrix developments," 2015 Joint Mathematics Meetings, MAA session on research in linear algebra, San Antonio, Texas, Jan. 13, 2015.
 "Spectrally arbitrary pattern extensions," 19th ILAS Conference,
Symposium on Sign Pattern Matrices, Sungkyunkwan University, Seoul, Korea, Aug. 9, 2014.
 "A neoKuyperian approach to mathematics; mathematics as culturemaking,"
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,"
Minisymposium on Advances in Combinatorial Matrix Theory and its Applications,
ILAS 2013 Meeting,
Providence, Rhode Island, June 3, 2013.
 "Techniques for verifying inertially arbitrary patterns,"
Special Session on Generalizations of Nonnegative Matrices and Their Sign Patterns,
AMS Spring Central Sectional Meeting, Iowa, April 27, 2013.
 "Nilpotent and spectrally arbitrary matrix patterns over C,"
AMS Special Session on Matrices and Graphs,
2012 Joint Mathematics Meetings, Boston, MA, Jan. 7, 2012.
 "Index of nilpotent matrices and the nilpotentJacobian 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, Banff AB, May 8, 2011.
 "Nilpotent zerononzero patterns over finite fields,"
Minisymposium on Spectral Properties of Sign
and ZeroNonzero 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 2730, 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 68, 2009.
 "Probability through the eyes of faith,"
OCSTA (Ontario Christian School Teachers Association)
Convention, Redeemer University College, October 24, 2008.
 "Sparse inertially arbitrary sign patterns,"
Minisymposium on Combinatorial Matrix Theory,
15th ILAS (International Linear Algebra Society)
Conference, Mexico, June 1620, 2008.
 "Sparse inertially arbitrary sign patterns,"
Quantum Information and Geometric Statistics Seminar, University of Guelph, ON, February 12, 2008.
 "Spectrally arbitrary sign patterns,"
Faculty Colloquium, Central Michigan University, Mount Pleasant, MI, April 26, 2007
 "Imaginary mathematics [History and application of complex numbers],"
OCSTA Annual Convention, Redeemer University College, Nov. 4, 2005.
 "Faithful mathematics [Implications of abstraction],"
OCSTA Annual Convention, Redeemer University College, Nov. 3,
2005.
 "On determining minimally spectrally arbitrary patterns,"
AMS (American Mathematical Society) Sectional Meeting, University of Nebraska, Oct. 21, 2005.

"Partitions of distance graphs by cliques," Linear Algebra,
Graph Theory and Combinatorics Conference,
University of Wisconsin  Madison, April 29, 2005.

"Clique partitions of distance graphs,"
Ottawa  Carleton Combinatorics and Optimization Seminar, Carleton University, Jan. 25, 2005.

"Inertially arbitrary matrices,"
Queen's  Royal Military College Discrete Mathematics Seminar, Queen's University, Aug. 12, 2004.
 "On biclique partitions and related matrices,"
Directions in Combinatorial
Matrix Theory Workshop,
Banff International Research Station, May 7, 2004.
 "Spectrally and Inertially Arbitrary Matrix Patterns,"
ILAS International
Conference on Matrix Analysis and Applications, Nova Southeastern University,
December, 2003.

"The amazing applicability of mathematics: Is God a mathematician?"
Brock Campus Ministries, Brock University, Nov. 21, 2003.

"Mathematics, stranger than it used to be: mathematical
contributions to postmodernity,"
14th Biennial Conference of the ACMS (Association for Christians
in the Mathematical Sciences),
Point Loma Nazerene University, May 30, 2003.
 "Neighbourly cubes, Hadamard matrices and graph decompositions,"
CMS (Canadian Mathematical Society) Summer
Meeting, Université Laval, June, 2002.

Editorship

 EditorinChief, IMAGE, the Bulletin of
ILAS
(International Linear Algebra Society), 2012  2014, 2015 
 Advisory Editor,
Special Matrices, 2013 
 Coeditor, Proceedings of the 20th ACMS conference, 2015.
 Guest Editor, Electronic Journal of Linear Algebra, special issue
on Graph Theory, Matrix Theory and Interactions, 2014/15.
 Contributing Editor, IMAGE, 2011.
