Michael Huang is an independent STEM learning content developer with a B.A. in Pure Mathematics, awarded the Arthur Sard Award for Excellence in Mathematics (2014). His work centers on structural analysis across both abstract and applied systems, with an emphasis on rigorous derivation, interpretive precision, and the computational verification of analytic results.

Independent STEM Learning Content Developer

His current research focuses on extending classical mathematical problems into generalized and non-standard analytic domains.

Higher Analysis & Special Functions

Recent work concerns the evaluation and structural generalization of advanced integral classes, including identities involving Meijer G-functions and generalized hypergeometric functions ${}_pF_q$, closed-form analysis of polylogarithmic integrals, and structural treatment of integrals involving floor, fractional-part, and nearest-integer functions. These require careful analytic partitioning and rigorous treatment of discontinuous domains.

Geometry & Structural Invariants

Earlier work explored triangle center loci and geometric invariants under constrained configurations — specifically, right triangles inscribed in a fixed circle. Centers investigated include the Nine-Point Center $X_5$, Symmedian Point $X_6$, Nagel Point $X_8$ and Feuerbach Point $X_{11}$. Derivations combine coordinate parametrization with barycentric and trilinear methods, drawing on Clark Kimberling’s Encyclopedia of Triangle Centers as a coordinate foundation.

A recurring structural interest is the transition between smooth and non-smooth analytic behavior — visible in both the self-intersecting locus of $X_{11}$ and the discontinuous partitioning required in integer-part integral evaluation.

Computational Integration

Analytical work is routinely accompanied by numerical verification and computational exploration using Python and Mathematica. This integration is not supplementary — it is part of the methodology: symbolic derivation proceeds alongside computational cross-checking, and interactive constructions in GeoGebra, Desmos and Jupyter support structural intuition before formalization.

Applied Analytical Experience

In parallel with independent mathematical research, Michael held dual roles at AiCure as a Fulfillment Associate and Interim Programmer Analyst.

Operational responsibilities included quantitative inventory modeling for patient-facing mobile devices — tracking state transitions across active, malfunctioning, and retired assets, and forecasting allocation needs through statistical modeling. Applied analysis of lithium-ion battery behavior in Android devices provided practical documentation on charging specifications and device longevity, grounded in electrochemical fundamentals.

As an Interim Programmer Analyst, responsibilities included structured biostatistical review of application-derived datasets, data validation, anomaly detection, and interpretive scrutiny — with particular attention to preventing statistical misrepresentation in clinical reporting pipelines.

Languages

Mathematical contributions have been produced in English, Spanish, Japanese, and Chinese — reflecting both multilingual engagement with STEM communities and a sustained commitment to accessibility across audiences.