Curriculum Vitae

CURRENT AND PAST EMPLOYMENT
  • Instructor (tenure-track), University of Calgary, September 2013 - present.

EDUCATION

RESEARCH AND SCHOLARLY INTERESTS
  •  Mathematics education: student-weighted multiple-choice tests; use of humour in the classroom.
  •  Discrete mathematics; discrete geometry; graph theory; combinatorics; optimization.
  •  Linear algebra; matrix theory; inverse eigenvalue problems.
  •  Applications in biology (matrix patterns; graph partitioning problems); chemistry (spectral graph theory); geophysics (Markov chains; directed graphs); neuroscience (neural networks; dynamical systems).

SELECTED AWARDS AND FELLOWSHIPS
  •  NSERC Postdoctoral Fellowship - University of Calgary (May 2010 - August 2012).
  •  NSERC Post Graduate Scholarship (Doctorate) - University of Regina (May 2008 - April 2010).

TEACHING EXPERIENCE AND CURRICULUM DEVELOPMENT
  •  Instructor (2013 - present), Sessional/T.A. (2010 - 2013) - University of Calgary, September 2010 - present .
  •  Consultant - Lyryx Learning Inc., Calgary, October 2012 - April 2014 .
  •  Teacher - Yufeng Chinese School, Calgary, September 2012 - June 2013.

STUDENT SUPERVISION
Graduate Students
  •  Peter Dixon (MSc Course-based) - Co-supervised with R. Woodrow, September 2015 - present.
Undergraduate Summer Research Students
  •  Edward Moon - Co-supervised with Karen Seyffarth; financial support from M. Cavers, May 2015 - present.
  •  Ethan White (USRA) - Co-supervised with K. Seyffarth; financial support from K. Bezdek, May 2015 - present.
  •  Nolan Shaw (USRA) - Co-supervised with K. Seyffarth; financial support from M. Lamoureux, May 2015 - present.
Examining Committees
  •  Maximiliano Liprandi (Ph.D. Program) - Supervisory Committee Member (supervisors: C. Laflamme and R. Woodrow), March 2015 - present.

SERVICE - ACADEMIC COMMITTEES, ORGANIZED EVENTS, OUTREACH ACTIVITIES
Current and Ongoing (University of Calgary)
  •  Course Development Lead - Dual Credit Pilot Program, Feb 2015 - present.
  •  Board Member - Alberta High School Mathematics Competition, Sept 2013 - present.
  •  Local Organizer - Tournament of the Towns Contest, Sept 2013 - present.
  •  Leader - Math Nite, Jan 2012 - present.
  •  Contributor and Grader - Junior Math Contest, Feb 2011 - present.
Recent (University of Calgary)
  •  Member - Department representative on search committee for SSC Math Support Coordinator, Aug 2015.
  •  Member - CMS Math Camp Organizing Committee, Sept 2014 - Aug 2015.
  •  Co-organizer (with K. Vasudevan) - PIMS Distinguished Visitor: Steve Kirkland, March 11 - 13, 2015.
  •  Grader - Asian Pacific Mathematics Olympiad, March 2014.
  •  Member - Faculty representative on search committee for Chemistry Instructor (tenure-track), Feb 2015 - May 2015.
  •  Member - Teaching Award Adjudication Committee, Feb 2015.
  •  Grader - Canadian Open Mathematics Challenge, Nov 2013, Nov 2014.
  •  Leader - IMO Training Camp (BIRS, Banff), July 1 - 3, 2014.
  •  Organizer - Discrete Math Seminar, Sept 2010 - April 2013.
  •  Member - Research Development and Policy Committee, Sept 2010 - Aug 2012.
  •  Co-organizer (with K. Seyffarth) - Prairie Discrete Mathematics Workshop IX, University of Calgary, May 2012.
  •  Executive Member -  Postdoctoral Association,  Sept 2010 - April 2012.

EDITORIAL ACTIVITIES
  •  Contributing Editor - IMAGE (Bulletin of the International Linear Algebra Society),   February 2012 - present.
  •  Assistant Managing Editor - Electronic Journal of Linear Algebra,   September 2010 - present.
  •  Language Editor - Central European Journal of Mathematics,   December 2008 - present.
  •  Referee and Reviewer - January 2007 - present.
  •  Refereed 34 manuscripts (to date) for 12 different journals in discrete mathematics and matrix theory.
  •  Reviewed five proposals submitted to the UC Postsecondary Conference on Learning and Teaching (2015).
  •  Reviewed paper for the Latin-American Algorithms, Graphs and Optimization Symposium (January 2015).
  •  Reviewed funding application for the Fondecyt National Research Competition (November 2013).

PROFESSIONAL MEMBERSHIPS
  •  Member - European Geosciences Union, 2015 - present.
  •  Member - Canadian Mathematical Society,   September 2014 - present.
  •  Member - International Linear Algebra Society,   July 2009 - present.
  •  Member - American Mathematical Society,   September 2006 - present.

ARTICLES PUBLISHED IN REFEREED JOURNALS
  •  M. Cavers and K. Vasudevan, Spatio-Temporal Complex Markov Chain (SCMC) Model using directed graphs: Earthquake sequencing, Pure and Applied Geophysics, Vol 172, Issue 2, (2014), 225-241.
  •  B. Ahmadi, F. Alinagipour, M. Cavers, S. Fallat, K. Meagher, and S. Nasserasr, Minimum number of distinct eigenvalues of graphs, Electronic Journal of Linear Algebra, Vol. 26 (2013), 673-691.
  •  M. Cavers and K. Seyffarth, Graphs with large distinguishing chromatic number, Electronic Journal of Combinatorics, Vol. 20(1) (2013) #P19.
  •  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), 71-89.
  •  M. Cavers and S. Fallat, Allow problems concerning spectral properties of patterns, Electronic Journal of Linear Algebra, Vol. 23 (2012), 731-754.
  •  M. Cavers, S. Cioaba, S. Fallat, D. Gregory, W. Haemers, S. Kirkland, J. McDonald and M. Tsatsomeros, Skew-adjacency matrices of graphs, Linear Algebra and its Applications, Vol. 436 (2012), 4512-4529.
  •  R. Bailey, A. Burgess, M. Cavers and K. Meagher, Generalized covering designs and clique coverings, Journal of Combinatorial Designs, Vol. 19, Issue 5 (2011), 378-406.
  •  M. Cavers, S. Fallat and S. Kirkland, On the normalized Laplacian energy and general Randic index R-1 of graphs, Linear Algebra and its Applications, Vol. 433, Issue 1 (2010), 172-190.
  •  M. Cavers, On reducible matrix patterns, Linear and Multilinear Algebra, Vol. 58, Issue 2 (2010), 257-267.
  •  M. Cavers, K. Vander Meulen and L. Vanderspek, Sparse inertially arbitrary patterns, Linear Algebra and its Applications, Vol. 431, Issue 11 (2009), 2024-2034.
  •  M. Cavers, R. Elzinga, D. Gregory, S. Vanderlinde and K. Vander Meulen, Clique partitions of distance multigraphs, Discrete Mathematics, Vol. 308, Issue 15 (2008), 3230-3240.
  •  M. Cavers and J. Verstraëte, Clique partitions of complements of forests and bounded degree graphs, Discrete Mathematics, Vol. 308, Issue 10 (2008), 2011-2017.
  •  M. Cavers and K. Vander Meulen, Inertially arbitrary nonzero patterns of order 4, Electronic Journal of Linear Algebra, Vol. 16 (2007), 30-43.
  •  M. Cavers, I-J Kim, B. Shader and K. Vander Meulen, On determining minimal spectrally arbitrary patterns, Electronic Journal of Linear Algebra, Vol. 13 (2005), 240-248.
  •  M. Cavers and K. Vander Meulen, Spectrally and inertially arbitrary sign patterns, Linear Algebra and its Applications, Vol. 394 (2005), 53-72.

OTHER ARTICLES / CONTRIBUTIONS
  •  J. Ling and M. Cavers, Student-weighted multiple choice tests, Proceedings of the 2015 UC Postsecondary Conference on Learning and Teaching, May 2015. Published in PRISM: University of Calgary Digital Repository.
  •  Book chapters/contributions: Calculus: Early Transcendentals (David Guichard with contributions from various authors), Creative Commons License, April 2014. Edited chapters 1 to 9 with the creation of new content and images.
  •  M. Cavers and K. Vasudevan, An Application of Markov Chains in Seismology, IMAGE - The Bulletin of the International Linear Algebra Society (ILAS),  Issue 51 (Fall 2013), 13-18.
PREPRINTS
  •  K. Vasudevan, M. Cavers, and A. Ware, Earthquake sequencing: Chimera states with Kuramoto model dynamics on directed graphs, accepted for publication in the journal Nonlinear Processes in Geophysics (NPG).
  •  M. Cavers and K. Seyffarth, Gray code numbers of 2-trees, 38 pages.
  •  M. Cavers and K. Vasudevan, Earthquake sequencing: Analysis of time series constructed from the Markov chain model, accepted for publication in the journal Nonlinear Processes in Geophysics (NPG).
CONFERENCE AND MEETING PRESENTATIONS
Oral Presentations
  •  Confidence weighting procedures for multiple choice tests (with J. Ling), ICSA-Canada Chapter 2015 Symposium, Calgary, Aug 5, 2015.
  •  Student-weighted multiple choice tests (with J. Ling), Conference on Postsecondary Learning and Teaching, Calgary, May 12, 2015.
  •  Multiple-choice tests and the student-weighted model (with J. Ling), Alberta Mathematics Dialogue, Lethbridge, May 9, 2015.
  •  Rewiring dynamics on directed graphs, CMS Winter Meeting, Hamilton, Dec 6, 2014.
  •  Graphs with large distinguishing chromatic number, CMS Summer Meeting, Regina, June 2, 2012.
  •  Matrix patterns that allow arbitrary inertia, Western Canada Linear Algebra Meeting, Lethbridge, May 12, 2012.
  •  Allow problems concerning spectral properties of patterns, CMS Summer Meeting, Edmonton, June 3, 2011.
  •  The normalized Laplacian energy of graphs, Western Canada Linear Algebra Meeting, BIRS, Banff, May 8, 2010.
  •  Preliminary Report on Sets of Inertias for Matrix Patterns, AMS Spring Central Section Meeting - Matrices and Graphs III, St. Paul, MN, April 11, 2010.
  •  Connect the Dots, Graduate and Undergraduate Research Conference, Regina, March 12, 2010.
  •  On the energy of graphs, Workshop on Theory and Applications of Matrices Described by Patterns, BIRS, Banff, Feb 3 2010.
  •  On the normalized Laplacian energy of a graph, CMS Winter Meeting, Windsor, Ontario, Dec 6, 2009.
  •  Recent Developments on the Inertias of Patterns, SIAM Conference on Applied Linear Algebra, Monterey, California, Oct 26, 2009.
  •  Reducible Inertially Arbitrary Matrix Patterns, CMS Winter Meeting, London, Ontario, Dec 8, 2007.
  •  On the Addressing Problem for Networks, Graduate Research Conference, Regina, April 14, 2007.
Posters
  •  Epileptic seizures and brain network studies: A tutorial (with K. Vasudevan and D. Coombe), poster presented by co-author at the Workshop on "Dynamics of Coupled Oscillators: 40 years of the Kuramoto Model", Dresden, Germany, July 27-31, 2015.
  •  Chimera states in earthquake sequencing: Preliminary results (with K. Vasudevan), poster presented by colleague at the European Geosciences Union General Assembly, Austria, April 2015.
  •  Earthquake sequencing: Significance of Kuramoto model on directed graphs (with K. Vasudevan), poster presented by co-author at the American Geophysical Union's Fall Meeting, California, Dec 15-19, 2014.
  •  Synchronization on directed graphs: Kuramoto model (with K. Vasudevan), poster presented by co-author at the Workshop on "Causality, Information Transfer and Dynamical Networks", Dresden, Germany, June 16-20, 2014.
  •  Insight into earthquake sequencing: A graph theoretic approach to modified Markov chain model (with K. Vasudevan), poster presented by co-author at the Workshop on "Causality, Information Transfer and Dynamical Networks", Dresden, Germany, June 16-20, 2014.
  •  Kuramoto model on undirected and directed graphs (with K. Vasudevan), Western Canada Linear Algebra Meeting, Regina, May 9-11, 2014.
  •  Insight into earthquake sequencing: Analysis and interpretation of time-series of the Markov chain model (with K. Vasudevan), poster presented by colleague at the American Geophysical Union's Fall Meeting, California, Dec 9-13, 2013.
  •  A graph theoretic approach to global earthquake sequencing: A Markov chain model (with K. Vasudevan), poster displayed at the American Geophysical Union's Fall Meeting, California, Dec 3-7, 2012.
  •  On reducible matrix patterns, Western Canada Linear Algebra Meeting, Manitoba, May 30-31, 2008.
  •  Clique partitions of distance graphs, Prairie Discrete Math Meeting, Manitoba, May 28-29, 2008.
  •  Partitions of distance graphs by cliques, C&O@40 Conference, Waterloo, June 18-23, 2007.
  •  Sign pattern matrices, CMS-MITACS Joint Annual Conference, Winnipeg, June 1-3, 2007.
  •  Inertially arbitrary sign patterns, Prairie Network for Research, Regina, May 3-4, 2007.
  •  Spectrally and inertially arbitrary sign patterns, USRA Student Conference, McMaster, Hamilton, Feb 2004.
Seminars, Colloquia, Special Lectures and Other Talks
  •  Discrete Mathematics (mini-course), CMS Math Camp, University of Calgary, June 2015.
  •  Student-weighted multiple-choice (seminar joint with J. Ling), University of Calgary, April 2015.
  •  Graph theory application: Neuronal communication dynamics (seminar), University of Calgary, Nov 14, 2014.
  •  Graph theory to the rescue (lecture/activity), CMS Math Camp, University of Calgary, July 20, 2013.
  •  Forecasting earthquakes: A graph theoretic application (seminar), University of Calgary, April 9, 2013.
  •  Distinguishing colourings of graphs (seminar), University of Calgary, Nov 9, 2012.
  •  The seven bridges of Königsberg, (Guest speaker for the Junior Math Contest Banquet), Calgary, June 6, 2012.
  •  Pi - history, facts, world records, and more!, (PIMS/Shell Lunchbox Lecture), Calgary, Nov 1, 2011.
  •  Graphs and eigenvalues (seminar), University of Calgary, Oct 24, 2011.
  •  The Randic index of a graph (seminar), University of Calgary, Oct 17, 2011.
  •  A graph theoretic approach to combinatorial designs (part 2) (seminar), University of Calgary, Oct 6, 2010.
  •  Combinatorial designs and clique coverings of graphs (part 1) (seminar), University of Calgary, Sept 29, 2010.
  •  Memorizing Pi (short talk -  MASS Presents: Pi Day!), University of Regina, March 15, 2010.
  •  Partitions and Coverings of Graphs (colloquium), University of Calgary, Jan 28, 2010.
  •  On a problem about covering and partitioning graphs (colloquium), University of Regina, Jan 22, 2010.
  •  On the Energy of Graphs (seminar), University of Regina, Dec 1, 2009.
  •  Mental Mathematics (seminar), University of Regina, Jan 26, 2009.
  •  Planar graphs and applications of graph theory (lecture/activity), Regina Math Enrichment Camp, Sept 2008.
  •  Reducible Inertially Arbitrary Patterns (seminar), University of Regina, Dec 3, 2007.
  •  Covering chessboard-type configurations with dominos (lecture/activity), Regina Math Enrichment Camp, Sept 2007.
  •  Clique Partitions and Coverings of Graphs (seminar), University of Waterloo, Dec 14, 2005.
  •  The Clique Covering Number of a Graph (seminar), University of Waterloo, March 2, 2005.
Workshops and Research Groups
  •  Prairie Discrete Math Workshop, BIRS, Aug 8-9, 2015.
  •  Integer Sequences K-12, BIRS, Feb 27 - March 1, 2015.
  •  Workshop on Theoretical and Applied Aspects of Nonnegative Matrices, BIRS, July 27-29, 2012.
  •  PIMS Mathematical and Statistical Graduate Education Roundtable, BIRS, May 21-23, 2010.
  •  Workshop on Theory and Applications of Matrices Described by Patterns, BIRS, Feb 1-5, 2010.
  •  Discrete Math Research Group, University of Regina, Sept 2009 - Aug 2010.
  •  13th PIMS Industrial Problem Solving Workshop, University of Calgary, May 25-29, 2009.
  • o    Final Report: B. Alspach, M. Cavers, C. Selinger, M. Shaikh, and T. Sherk, Determining drug combinations for various types of cancers, Report of the 13th PIMS IPSW, May 25-29, 2009.
  •  12th Graduate Industrial Math Modelling Camp, University of Calgary, May 19-23, 2009.
  •  12th PIMS Industrial Problem Solving Workshop, University of Regina, June 16-20, 2008.
  • o    Final Report: H. Bermudez, M. Cavers, Y. Joshi, M. Kaur, Z. Kavazovic, D. Kim, N. Krislock, A. Nazari, F. Oloude, and R. Robertson, Supply Chain Optimization for the North American Operations of the Evraz Group, Proceedings of the 12th PIMS IPSW, June 16-20, 2008.
  •  11th Graduate Industrial Math Modelling Camp, University of Regina, June 9-13, 2008.
  •  Workshop on Cycle Decompositions of Graphs, University of Regina, Mar 17-22, 2007.