Mark Raya
Mathematics and Computer Science Student
Welcome to my website! I’m a recent graduate with a Master’s degree in Information Technology, now on the lookout for PhD opportunities in the fields of mathematics and computer science. My research interests lie at the intersection of graph theory, combinatorics, and complexity theory, where I aim to explore the deeper structures and patterns that govern these areas. Growing up, I was always drawn to puzzles like French solitaire and sudoku, which fostered my love for problem-solving and logical thinking—skills that continue to drive my research today.
About Me.
Education
2022-2024
Master of Information Technology
University of New South Wales
Grade: 86.25 WAM
Thesis: "Rigidity of Random Geometric Graphs"
Supervisor: Dr. Katie Clinch
Co-Supervisor: Dr. Paul Hunter
2016-2021
Bachelor of Engineering Honours (Mechanical)
The University of Syndey
Grade: Honours Class II, Division 1
Thesis: "Using Numerical Reactors to Understand Autoignition"
Supervisor: Dr. Assaad Masri
2015
Higher School Certificate
Parramatta Marist High School
Graduated with an ATAR of 94.65
Research Interests
Throughout my research journey, I’ve explored a range of topics from the autoignition of fuels using numerical reactors to my current focus on the rigidity of random geometric graphs. These diverse areas of study have helped me develop a deep interest in mathematical structures and their properties. My primary research interests now lie in graph theory, with a specific focus on rigidity, as well as combinatorics and complexity theory. I’m particularly drawn to understanding the intricate patterns and behaviors that govern these fields, aiming to contribute to both theoretical advancements and practical applications.
Teaching
I have had the opportunity to teach several units, including "Foundations of Computer Science," "Algorithm Design and Analysis," "Algorithmic Verification," and "Theory of Computation." My responsibilities have ranged from running classes, tutorials, and laboratory sessions to actively maintaining forums by regularly answering student questions. I’ve also provided additional consultation, both one-on-one and in groups, to support students outside of class hours. Beyond teaching, I’ve been involved in grading assignments and exams and collaborating with course administrators and staff to refine and improve the course content and structure. For more details, check out the additional information here.