About the Author
My name is Andrea Esposito, and I am an independent mathematical researcher based in Como, Italy. My work focuses primarily on the study of numerical sequences, number theory, and the exploration of emerging patterns in counting systems and generative mathematical structures.
In 2026 I developed the model Progressive Cumulative Counting (PCC), a numerical generation method that combines an initial linear phase with a subsequent cumulative growth. This model produces sequences with a particular structure that makes it possible to study intersections between sequences generated from different bases, revealing mathematical properties that are not immediately evident.
The idea behind PCC emerged while I was studying variations of counting systems. Within approximately twenty days of intensive work, the structure of the model took shape, leading to the formal definition of the sequence and the first analyses of its properties.
I am a self-taught researcher, and I approach mathematics through the observation of numerical patterns, the formulation of generative models, and the exploration of structures that emerge from simple rules.
An important part of my research focuses on the analysis of intersections between PCC sequences generated with different bases, which can be described through relationships connected to triangular numbers and cumulative growth patterns. This line of investigation helps reveal how apparently simple growth systems can generate complex and interesting mathematical structures.
To make these ideas easier to explore and visualize, I have also developed an interactive online tool that allows users to analyze intersections between PCC sequences and observe how patterns emerge when the bases change.
My goal is to explore new numerical structures, develop tools that help analyze them, and encourage dialogue and collaboration with other researchers interested in generative systems, mathematical sequences, and number patterns.
For me, the study of numbers remains one of the most fascinating areas of mathematics. Even starting from very simple rules, numbers can lead us along unexpected and sometimes mysterious paths.
For contact or collaboration:
info@numblfluid.it
(In addition to the work already developed, I remain open to and actively interested in new ideas, insights, and directions within the field of mathematics.)
All my works and studies: