User:Remco Havenaar

Remco Havenaar is an independent researcher at SYNTRIAD Research (The Netherlands), specializing in AI-driven discovery frameworks and semantic transformation architectures. His work on digit-operation dynamical systems demonstrates how structured AI orchestration pipelines can accelerate mathematical exploration — from conjecture generation through algebraic proof to exhaustive computational verification. Applied to fixed points in digit-operation compositions (reverse, complement, sort, digit-sum, Kaprekar, and 1089-trick maps across arbitrary bases), this approach yielded five proven infinite families with explicit counting formulas, exhaustive Kaprekar analysis through 7 digits, and tight upper bounds for narcissistic numbers. By background a senior infrastructure architect in Dutch healthcare IT (25+ years), Havenaar combines systems thinking with AI-assisted research methodologies. All theorems were independently verified by algebraic proof and exhaustive computation. Homepage: https://github.com/SYNTRIAD/digit-dynamics-discovery Keywords / Interests AI-assisted discovery, transformation frameworks, digit operations, fixed points, Kaprekar constants, narcissistic numbers, 1089-trick, dynamical systems, computational number theory