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I was born in Charlottetown, PEI, Canada and attended the , graduating in 1988 with a BSc in Mathematics. I then attended the , obtaining a MMath in Pure Mathematics in 1990 and a PhD in Combinatorics and Optimization in 1994. After that I kept moving west, first to beautiful Christchurch, New Zealand, where I worked as a postdoc at the , then to Southampton, U.K. where I worked at the before becoming a lecturer and senior lecturer at (now Solent University). In 2000, I came full circle to Waterloo, this time as an assistant professor in the Deparment of Physics and Computer Science at 51本色. I was promoted to associate professor in 2004 and to full professor in 2012, and was cross appointed to Mathematics in 2014.
My research area is combinatorics (also called discrete mathematics), which is the study of discrete structures such as networks, permutations and sequences of symbols (e.g. binary strings, DNA sequences). The main focus of my research is algebraic combinatorics, which applies the powerful techniques from algebra to problems in combinatorics, and also exploits combinatorial insight to discover new results in algebra. I have also collaborated on applied projects with other researchers on topics in algorithms, voting theory, and security.
David P. Robbins Prize, 2023, Mathematical Association of America (MAA)
I do not have any positions available for research students at the moment.
- Y. Dai, A.M. Foley, C.T. Hoang, “On coloring a class of claw-free and hole-twin-free graphs,” Disc. Appl. Math., 323, (2022), 162–170.
- N.M. Eagles, A.M. Foley, A. Huang, E. Karangozishvili, A. Yu, “H-chromatic symmetric functions,” Electronic J. of Combinatorics 29 (1), (2022), P1.28.
- A.M. Foley and R.C. King, “Factorial supersymmetric skew Schur functions and ninth variation determinantal identities,” Annals of Combinatorics, 25, (2021), 229–253.
- A.M. Foley and R.C. King, “Determinantal and Pfaffian Identities for ninth variation skew Schur functions and Q-functions,” European Journal of Combinatorics, 93, (2021), 103271.
- S. Dahlberg, A. Foley, S. van Willigenburg, “Resolving Stanley’s e-positivity of claw- contractible-free graphs,” J. European Math. Soc, 22 (2020), 2673–2696.
- A.M. Foley, D. Fraser, C.T. Hoang, K. Holmes, T. LaMantia, “The intersection of two vertex coloring problems,” Graphs and Combinatorics, 36 (2020), 125–138.
- D. Marc Kilgour, J.-Ch. Grégoire, A.M. Foley, “The prevalence and consequences of ballot truncation in ranked-choice elections,” Public Choice, 184 (2020), 197–218.
- CP214: Discrete Structures I
- CP312: Algorithm Design/Analysis I
- CP614: Applied Cryptography
- MA222: Linear Algebra
- MA238: Discrete Mathematics
Contact Info:
T: 548.889.3666
Office location: LH3051
Office hours:
Varies each term; please check course syllabus.
Languages spoken: English, French