Michael Huang

Independent STEM Learning Content Developer & Analytical Systems Thinker

My work spans two domains that are, at their core, the same discipline — the study of structure.

In pure mathematics, I investigate geometric invariants and higher analytic phenomena: loci of triangle centers under constrained configurations, special functions and their generalizations, polylogarithmic integrals, and the structural behavior of discontinuous systems involving integer-part functions.

In applied contexts, I bring the same disposition — careful derivation, interpretive scrutiny, resistance to premature conclusions — to operational modeling, biostatistical review, and device systems analysis within healthcare technology environments.

Whether computing the locus of a Feuerbach point or scrutinizing datasets for statistical misrepresentation, the underlying posture is identical: follow structure, verify conclusions, remain precise.

Current Mathematical Focus

  • Loci of selected Kimberling triangle centers under right-triangle-inscribed-in-circle configurations
  • Generalized hypergeometric functions and Meijer G-function identities
  • Closed-form evaluation of polylogarithmic integrals
  • Structural analysis of integrals involving floor, fractional-part, and nearest-integer functions
  • About — Research identity and analytical background
  • Mathematics — Formal derivations, expository notes, and PDF manuscripts
  • Projects — Interactive constructions and exploratory models
  • CV — Academic and professional background
  • Contact — Correspondence

Notes and manuscripts are added progressively as work matures.