Welcome to the Homepage for

Kevin N. Vander Meulen
Professor of Mathematics
Department of Mathematics
Redeemer University College
905.648.2131 x4238

[ Education | Teaching | Research | Publications | Presentations | Editorship]
  • 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"
During the academic year 2017/18, I am scheduled to teach/supervise:
Fall semester
  • MAT 126: Introductory Linear Algebra
  • MAT 321: Modern Geometry
  • MAT 490: Honours Research Project
Winter Semester
  • MAT 122: Calculus II
  • MAT 217: Discrete Mathematics
  • MAT 318: Mathematical Biology
  • MAT 385: Independent Study: Advanced Linear Algebra
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.
Names in bold are students who have participated in summer undergraduate student research projects sponsored by NSERC's Undergraduate Student Research Awards program.
Some Presentations
  • "Nonsparse companion matrix constructions," AMS special session on emerging topics in matrices and graphs, AMS-MAA Joint Mathematics Meetings, San Diego, CA, Jan. 13, 2018.
  • "Recursive constructions for spectrally arbitrary patterns," 21st ILAS Conference, Iowa State University, IA, July 27, 2017.
  • "On the addressing problem for triangular graphs," AMS special session on graphs and matrices, AMS-MAA Joint Meetings, Atlanta, GA, Jan. 7, 2017
  • "Polynomial root bounds using intercyclic companion matrices," Special session on Matrix Theory, CMS Winter Meeting, Niagara Falls, ON, Dec. 3, 2016.
  • "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, BC, 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 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," 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 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, Banff AB, May 8, 2011.
  • "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.
  • "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 16-20, 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.
  • Editor-in-Chief, IMAGE, the Bulletin of ILAS (International Linear Algebra Society), 2012 - 2014, 2015 - 2017
  • Advisory Editor, Special Matrices, 2013 -
  • Co-editor, 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.

Last Updated: May 2018