About

Becoming, always.

Banyuhay means metamorphosis or transformation in Filipino. The word has stayed with me because my path through mathematics has changed form several times while keeping the same underlying curiosity.

John Rick Manzanares

I am John Rick Manzanares, a Filipino mathematician and computational researcher from Baguio City in the northern Philippines. I studied mathematics at the University of the Philippines Baguio after attending Philippine Science High School, Cordillera Administrative Region Campus.

My early interests were closer to differential geometry. The direction changed when I encountered topological data analysis and began to see topology not only as an abstract language, but also as a way to ask quantitative questions about data and structure.

My master’s work studied centrality measures built from homology. Later projects brought topology into electrocardiogram classification, while other work moved toward computer vision and scientific data analysis. Each change added another way to think about the same broad question: what information about structure should be preserved when a complicated object is reduced to something we can compute with?

I am now a Marie Skłodowska-Curie doctoral fellow working in Poland. My doctoral research studies bone microstructure using topological data analysis, computational geometry, scientific computing, and machine learning.

Teaching and public software are also part of how I think about research. I prefer explanations that define their objects carefully, code that can be inspected rather than treated as a black box, and tools that remain useful after a single experiment is over.

  • ResearchTopology, geometry, scientific computing, machine learning
  • Current focusBone microstructure and computational descriptors
  • FromBaguio City, Philippines
  • Based inPoland
  • CodePython, Rust, Julia, R, and whatever else the problem genuinely requires

Why Banyuhay

Change is not a detour.

Research rarely develops as a straight line. A mathematical interest becomes a thesis, a thesis becomes software, a computational problem exposes a new theorem, and a scientific application changes the questions worth asking.

I want this website to show that process rather than flatten it into a list of positions and outputs. The finished papers matter, but so do the explanations, failed directions, reusable code, teaching material, and questions that are still open.