## Academic Profile

Dr Gary Royden Watson Greaves

Senior Lecturer, School of Physical & Mathematical Sciences - Division of Mathematical Sciences

- spectral graph theory

- frame theory

- algebraic combinatorics

- algebraic number theory

- Algebraic structural constraints for distance regular graphs
- On The Algebraic Degree Of The Eigenvalues Of A Graph

- G.R.W. Greaves and J. Syatriadi. (2019). Reed-Solomon codes over small fields with constrained generator matrices.
*IEEE Transactions on Information Theory, 65*(8), 4764--4770. - G.R.W. Greaves and P. Yatsyna. (2019). On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix.
*Mathematics of Computation, 88*, 3041--3061. - Xi-Ming Cheng, Gary R.W. Greaves, and Jack H.Koolen. (2018). Graphs with three eigenvalues and second largest eigenvalue at most 1.
*Journal of Combinatorial Theory, Series B, 129*, 55--78. - Gary Greaves, Jack Koolen, Akihiro Munemasa, and Ferenc Szollosi. (2016). Equiangular lines in Euclidean spaces..
*Journal of Combinatorial Theory, Series A,*. - Gary Greaves. (2015). Small-span hermitian matrices over quadratic integer rings..
*Mathematics of Computation, 84*(291), 409-424.