On some properties of Costas arrays generated via finite fields. - Konstantinos Drakakis; Rod Gow; Liam O'Carroll (CISS, 2006)

On the symmetry of Welch- and Golomb-constructed Costas arrays. - Konstantinos Drakakis; Rod Gow; Liam O'Carroll (Discret. Math., 2009)

Degree and Algebraic Properties of Lattice and Matrix Ideals. - Liam O'Carroll; Francesc Planas-Vilanova; Rafael H. Villarreal (SIAM J. Discret. Math., 2014)

The Burer-Monteiro SDP method can fail even above the Barvinok-Pataki bound. - Liam O'Carroll; Vaidehi Srinivas; Aravindan Vijayaraghavan (NeurIPS, 2022)

Extracting Dual Solutions via Primal Optimizers. - Yair Carmon; Arun Jambulapati; Liam O'Carroll; Aaron Sidford (ITCS, 2025)