## Dr Santiago Barrera Acevedo

Lecturer

School of Mathematics - Monash University

9 Rainforest Walk, Victoria 3800

email: santiago.barrera.acevedo (at) monash.edu

phone: +61 9905 4480

Lecturer

School of Mathematics - Monash University

9 Rainforest Walk, Victoria 3800

email: santiago.barrera.acevedo (at) monash.edu

phone: +61 9905 4480

About me

I'm a lecturer in the School of Mathematics at Monash University, Melbourne - Australia, and a member of the school equity diversity and inclusion committee. My research interest is the interplay between algebra and combinatorics, particularly the emerging area of algebraic design theory. My current research focuses on the construction and classification of cocyclic Hadamard matrices and other orthogonal designs.

Interests

Areas of mathematics I'm interested in: algebra, algebraic design theory, category theory, combinatorial design theory, difference sets and relative difference sets, group cohomology, group theory, Hadamard matrices, orthogonal designs, representation theory of finite groups, sequences and arrays with good autocorrelation.

Teaching

I'm the chief examiner, coordinator, and lecturer for Foundation Mathematics for Engineering ENG1090. I'm the chief examinar, coordinator and lecturer for MTH3150 Rings and Fields. I'm regularly involved in the lecturing and tutoring of MTH2141/3141 Group Theory.

Publications

Sscroll down for publications.

13. Barrera Acevedo, O Cathain and Dietrich. Hadamard matrices in centraliser algebras of monomial representations, preprint (2023).

12. Barrera Acevedo, Dietrich and Lionis. New infinite families of mutually unbiased bases from quaternionic Hadamard matrices, preprint (2023).

11. Barrera Acevedo, O Cathain and Dietrich. Cocyclic two-circulant core Hadamard matrices. Journal of Algebraic Combinatorics (2022).

11. Barrera Acevedo, O Cathain and Dietrich. Cocyclic two-circulant core Hadamard matrices. Journal of Algebraic Combinatorics (2022).

10. Barrera Acevedo, O Cathain and Dietrich. Constructing cocyclic Hadamard matrices of order 4p. J. Comb. Des. (2019).

9. Barrera Acevedo and Dietrich. New infinite families of Williamson Hadamard matrices. Australas. J. Combin. (2019).

8. Barrera Acevedo and Dietrich. Relative difference sets and Hadamard matrices from perfect quaternionic arrays. Math. Comput. Sci. (2018).

7. Barrera Acevedo and Dietrich. Perfect Sequences over the Quaternions and (4n,2n,4n,2n)-Relative Difference sets in C_n x Q_8. Cryp. Comm. (2017).

6. Tan, Barrera Acevedo and Izgorodina. Generalized spin-ratio scaled MP2 method for accurate prediction of intermolecular interactions for neutral and ionic species J. Chem. Phys. (2017).

5. Halat, Seeger, Barrera Acevedo, and Izgorodina Trends in Two- and Three-Body Effects in Multi-Scale Clusters of Ionic Liquids J. Phy. Chem. B. (2016).

4. Rigby, Barrera Acevedo and Izgorodina Novel SCS-IL-MP2 and SOS-IL-MP2 Methods for Accurate Energetics of Large-Scale Ionic Liquid Clusters J. Chem. Theo. Comput. (2015).

3. Barrera Acevedo Inflation of perfect arrays over the basic quaternions size mn=(p+1)/2 Lec. Not. Comput. Sci. (2014).

2. Barrera Acevedo and Jolly Perfect Arrays of Unbounded Sizes over the Basic Quaternions Cryp. Comm. (2014).

1. Barrera Acevedo and Hall. Perfect Sequences of Unbounded Lengths over the Basic Quaternions Lec. Not. Comput. Sci. (2012).

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