Research Interests
Algebraic combinatorics is my research area, with the focus on Jones pairs, typeII matrices and their relations to association schemes. Association schemes encode combinatorial objects such as distance regular graphs and symmetric designs. They can also be viewed as a generalization of finite abelian groups. Two families of association schemes, the Johnson schemes and the Hamming schemes, have applications in the study of designs, codes and orthogonal arrays. My interest lies in the connections of association schemes with coding theory, design theory, graph theory and knot theory.
I am also interested in algebraic graph theory, quantum walks on graphs and complex Hadamard matrices.
Publications/Preprints
 Ada Chan, Chris Godsil, Christino Tamon, Weichen Xie,
Of shadows and gaps in spatial search, arXiv:2204.04355.
 Ada Chan, Gabriel Coutinho, Whitney Drazen, Or Eisenberg, Chris Godsil, Mark Kempton, Gabor Lippner, Christino Tamon, Hanmeng Zhan,
Fundamentals of fractional revival in graphs, arXiv:2004.01129, submitted.
 Ada Chan, Complex Hadamard matrices and strongly regular graphs,
arXiv:1102.5601.

Ada Chan and Hanmeng Zhan,
Pretty good state transfer in discretetime quantum walk, arXiv:2105.03762.

Ada Chan, Bobae Johnson, Mengzhen Liu, Malena Schmidt, Zhanghan Yin, Hanmeng Zhan,
Laplacian pretty good fractional revival, Discrete Math. 345 (2022), no. 10, Paper No. 112971.

Ada Chan, Bobae Johnson, Mengzhen Liu, Malena Schmidt, Zhanghan Yin, Hanmeng Zhan,
Laplacian fractional revival, Electronic Journal of Combinatorics 28 (2021), no.3, Paper No. 3.22.

Ada Chan, Whitney Drazen, Or Eisenberg, Mark Kempton, Gabor Lippner,
Pretty good quantum fractional revival in paths and cycles,
Algebraic Combinatorics 4 (2021), no.6, 9891004.
 Ada Chan, Shaun Fallat, Jephian Lin, Steve Kirkland, Shahla Nasserasr, Sarah Plosker, Complex Hadamard diagonalizable graphs. Linear Algebra and its Applications 605 (2020), 158179.
 Ada Chan, Complex Hadamard matrices, instantaneous uniform mixing, and cubes, Algebraic Combinatorics 3 (2020), no.3, 757774.
 Ada Chan, Gabriel Coutinho, Christino Tamon, Luc Vinet, Harmony Zhan, Fractional revival and association schemes, Discrete Math. 343 (2020), no. 11.
 Ada Chan, Gabriel Coutinho, Christino Tamon, Luc Vinet, Harmony Zhan,
Quantum fractional revival on graphs, Discrete Applied Mathematics 269 (2019), 8698.
 Pierre Antoine Bernard, Ada Chan, Erika Loranger, Christino Tamon, Luc Vinet, A graph with fractional revival. Physics Letters A, 382 (2018) Issue 5, 259264.
 Ethan Ackelsberg, Zachary Brehm, Ada Chan, Joshua Mundinger and Christino Tamon, Adjacency State Transfer in Coronas, Electronic Journal of Combinatorics, 24 (2017), 224.
 Ethan Ackelsberg, Zachary Brehm, Ada Chan, Joshua Mundinger and Christino Tamon, Laplacian State Transfer in Coronas, Linear Algebra and its Applications, 506 (2016), 154167.
 Ada Chan and A. Munemasa, Hamming graph in Nomura algebra, Linear algebra and its applications 435 (2011), no. 2, 330341.
 Ada Chan and C. D. Godsil, TypeII matrices and combinatorial structures, Combinatorica 30(2010), no. 1, 124.
 Ada Chan and Rie Hosoya, On the association schemes of typeII matrices constructed on conference graphs, J. Algebraic Combinatorics 20 (2004), no. 3, 341351.
 Ada Chan and C. D. Godsil, BoseMesner algebras attached to invertible Jones pairs, J. Combin. Th. Ser. A 106 (2004), no. 2, 165191.
 Ada Chan, C. D. Godsil, and A. Munemasa, Fourweight spin models and Jones pairs, Trans. Amer. Math. Soc. 355 (2003), no. 6, 23052325 (electronic).
 Ada Chan and R. M. Wilson, Some consequences of the linear programming bounds for designs, University of Waterloo Research Report CORR 200136 , 2001
 Ada Chan, Jones pairs, Ph.D. Thesis, University of Waterloo, 2001
 Ada Chan, Bounds on designs derived from Delsarte's inequalities, Master Thesis, University of Waterloo, 1995
Seminars
 Mathematics and Statistics Colloquium
University of Regina, Canada, April 2022
 Western Canada Linear Algebra Meeting (online)
Brandon University, Canada, June 2021
 Algebraic graph theory seminar (online)
University of Waterloo, Canada, January 2021
 Virtual seminar
Winnipeg Institute of Theoretical Physics, Canada, August 2020
 Discrete Mathematics Seminar
Worcester Polytechnic Institute, USA, February 2020
 Joint Algebraic Combinatorics and Algebraic Graph Theory Seminar
University of Waterloo, Canada, February 2020
 Session on Special Functions and Orthogonal Polynomials
AMS 2019 Fall Central Sectional Meeting, University of WisconsinMadison, USA, September 2019
 Session on Association Schemes and Related Topics
AMS 2019 Fall Central Sectional Meeting, University of Wisconsin  Madison, USA, September 2019
 Prairie Discrete Mathematics Workshop
Brandon University, Canada, June 2018
 Algebraic Graph Theory and Quantum Walks Workshop
University of Waterloo, Canada, April 2018
 Session on Extremal Graph Theory and Quantum Walks on Graphs
AMS 2018 Spring Eastern Sectional Meeting, Northeastern University, USA, April 2018
 Session on Algebraic Graph Theory
CMS 2017 Winter Meeting, Waterloo, Canada, December 2017
 Session on Matrix Theory
CMS 2016 Winter Meeting, Niagara Falls, Canada, December 2016
 Systems of Lines: Application of Algebraic Combinatorics
Worcester Polytechnic Institute, USA, August 2015
 Discrete Math Day in the Northeast
Bard College, USA, March 2015
 Graphs at Ryerson Seminar
Department of Mathematics, Ryerson University, Canada, October 2014
 Potsdam Research Experience for Undergraduates in Mathematics
Department of Mathemtics, SUNY Potsdam, USA, July 2014
 Discrete Math Seminar
Department of Mathematics and Statistics, York University, Canada, February 2014
 Algebraic Combinatorics Seminar
Dept. of Combinatorics and Optimization, University of Waterloo, Canada, March 2013
 Session on Combinatorics
CMS 2012 Spring Meeting, Regina, Canada, June 2012
 OttawaCarleton Discrete Mathematics Day
Carleton University, March 2012
 Workshop on Algebraic Graph Theory
BIRS, Banff, Canada, April 2011
 Applied Algebra Seminar
Department of Mathematics and Statistics, York University, Canada, April 2010
 Session on Combinatorics
CMS 2008 Winter Meeting, Ottawa, Canada, December 2008
 Special Session on Association Schemes and related topics
AMS 2005 Fall Central Meeting, University of Nebraska  Lincoln, U.S.A., October 2005
 Algebraic Combinatorics Seminar, University of Waterloo, Canada, April 2005
 Algebraic Combinatorics Seminar, University of Waterloo, Canada, November 2005
 Information Mathematical Sciences Colloquium, Tohoku University, Japan, July 2004
 Combinatorics Seminar, University of WisconsinMadison, U.S.A., November 2003
 Special Session on Association Schemes: 19732003
2003 AMS Fall Southeastern Section Meeting, University of North Carolina at Chapel Hill, U.S.A., October 2003
 Special Session on Association Schemes and Distance Regular Graphs
2002 AMS Spring Western Section Meeting, Portland State University, U.S.A., June 2002
 Kyushu University, Japan, May 2002
 Applied Algebra Seminar, York University, Canada, April, 2002
 Combinatorics Seminar, California Institute of Technology, U.S.A., February 2001
 Faculty of Mathematics Graduate Student Conference, University of Waterloo, Canada, June 2000
 Management Science Seminar, Tilburg University, Netherlands, September 1998
 Algebraic Combinatorics Day, University of Toronto, Canada, July 1998
 Eleventh Ontario Combinatorics Workshop, Ryerson University, Canada, May 1997