Alex Newcombe

Alex Newcombe serves as a Lecturer in the College of Science and Engineering at Flinders University, where he also holds a Research Staff position with the Centre for Defence Engineering Research and Training. His academic profile shows strong connections between theoretical mathematics and practical defense applications.

His educational background includes:

• PhD in Mathematics from Flinders University (2019)
• Bachelor of Science with First Class Honours in Mathematics from Flinders University (2015)

Newcombe's research centers on graph theory and combinatorics, with particular expertise in domination problems, crossing numbers, and Cartesian graph products. His work bridges theoretical mathematics with practical applications in defense and geolocation systems through collaborations with the Centre for Defence Research and Training. His publications demonstrate sophisticated approaches to complex graph structures using methods like cross-entropy optimization and binary programming formulations.

Analysis of his recent publications reveals a consistent research trajectory focused on domination variants and graph product structures. His work shows increasing sophistication in handling complex graph problems with applications to network security and optimization. The publications span specialized mathematics journals including Entropy, Journal of Combinatorial Mathematics and Combinatorial Computing, and Ars Mathematica Contemporanea.

His notable achievements include:

• Vice Chancellor's Award for Doctoral Thesis Excellence (2019)
• Participation in the Artificial Intelligence for Decision Making Initiative through the Defence Innovation Partnership (2020-2022)

Newcombe teaches several engineering mathematics courses including ENGR2711 Engineering Mathematics, MATH3703 Optimisation, and ENGR8761 Engineering Mathematics. His research grants indicate strong institutional support for his work at the intersection of theoretical mathematics and defense applications. The Centre for Defence Engineering Research and Training serves as his primary research hub, facilitating collaborations between academic mathematics and practical defense challenges.

His research activities are centered at the Tonsley campus of Flinders University, working within the College of Science and Engineering's research ecosystem. The Centre for Defence Engineering Research and Training provides the institutional framework for his defense-related collaborations, connecting mathematical theory with real-world security applications.