Research
OEIS sequences and research work.
Independent work in mathematics and AI systems.
3Sequences
4Papers
1Experiment
OEIS sequence research
OEIS profile →01OEIS revision · Published · 2026A193996 — characterizing the eight-iteration caseA structural characterization of A193996 identifies it as the eight elements of the nontrivial 8-cycle under the sum-of-squares-of-digits map, together with the happy numbers of height 7. The revision was reviewed and published by OEIS.02OEIS algorithm note · Published · 2026A086183 — exact computation with a suffix automatonA C++20 implementation and complexity analysis were contributed for exact computation of A086183 using a suffix automaton and suffix ranks, with the cost of generating the digits of Pi explicitly separated from the stated bounds. The contribution was reviewed and published by OEIS.03OEIS revision · Published · 2026A193995 — clarifying happy-number iteration countsA clarification to A193995 was accepted and published by OEIS, resolving ambiguity between terms, iterations, and the stopping rule used to determine whether a number is happy.
Papers and mathematical notes
ArXiv profile →01arXiv preprint · Co-author · 2026Repetition Avoidance in Curling-Number TransformsJoint work on repetition avoidance in words and their curling-number transforms, combining morphic constructions, Walnut verification, and exhaustive finite searches.02arXiv preprint · Acknowledged contribution · 2026The arc chromatic number for Galois projective planes, affine planes and Euclidean gridsA study of arc chromatic numbers in finite planes and Euclidean grids that records my five-colouring of the 9×9 grid, establishing χ_A(G9) = 5.03Research manuscript · Journal submission · Sole author · 2026Quarter-Turn Functional Equation and Squared LengthA research manuscript exploring how a quarter-turn functional equation singles out a quadratic quantity that is later identified with squared Euclidean length through rotation compatibility and a bounded-scaling argument.04Geometry · proof writingIncircle–Excircle Pythagorean ProofsTwo geometric proof variants organized around the incircle and A-excircle, with their claim boundaries stated explicitly.