Oksana Sudoma

Oksana Sudoma

Technical Project Manager Specializing in AI Automation

Founder of ElasticPM Framework; CEO of SudomaConsulting

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Proprietary Methodology

The ElasticPM Framework

Traditional project management breaks under the uncertainty of AI R&D. ElasticPM is my specialized framework for "Operationalizing Chaos"—managing high-dimensional ambiguity through Wrapper Spaces, Agentic Stacking, and Bayesian Gating.

1

Macro-Stability

Rigorous compliance and budget guardrails (Waterfall-like) protecting the core.

2

Micro-Elasticity

Rapid, AI-driven parallel execution loops that expand to capture value.

3

The Wrapper

A container for managing authorized contradictions until data forces convergence.

Research Projects

Preprints and publications in mathematical physics, number theory, and complexity theory

Fractional Laplacians on Curved Backgrounds

O. Sudoma (2025) | DOI: 10.5281/zenodo.17585575

Explicit curvature correction formula with rigorous O(κ²ₐ) error bounds and computational validation achieving 0.59% accuracy on S²_R.

Piecewise-Constant Operator Families from Jones Index Rigidity

O. Sudoma (2025) | DOI: 10.5281/zenodo.17717905

Subfactor index rigidity forces operator families to be piecewise constant. Discrete jumps emerge from Jones index spectrum below 4, with computational validation (R²=0.98).

Circuit Depth Thresholds for Logical Triviality in QEC Codes

O. Sudoma (2025) | DOI: 10.5281/zenodo.17727423

Dimension-dependent depth bounds combining Knill-Laflamme conditions with circuit analysis. Explicit thresholds: D∼d (1D), D∼√d (2D), D∼∛d (3D).

κ

Geometric Incompleteness and Mixture Model Selection

O. Sudoma (2025) | DOI: 10.5281/zenodo.17727423

Geometric measure κ predicts when mixture models are needed (K≥2) vs point estimates (K=1). Existence theorem proven rigorously, validated with ρ=0.671, p=0.001.

⟨ψ|

Bounded Surjections to Quantum Error-Correcting Codes

O. Sudoma (2025) | DOI: 10.5281/zenodo.17585624

Functorial framework unifying QEC approaches via bounded surjections. Machine-precision validation with kernel geometry explaining code convergence.

Ω

Finite-Size Equidistribution of Ω(n) Modulo m

O. Sudoma (2025) | DOI: 10.5281/zenodo.17432403

Structured deviations in prime factor count distribution matching Selberg–Delange prediction. Decay |S(x)|/x ~ 1.708(log x)^{-3/2} verified to 6 decimals at x=10⁸.

F₃

A Surprising Discovery in Doubly Stochastic Matrices Over F₃

O. Sudoma (2025) | DOI: 10.5281/zenodo.17616884

The 432→54 cascade explains trace-2 impossibility. First computational enumeration revealing 54 doubly stochastic 3×3 matrices over F₃ with binary trace stratification—traces only in {0,1}, never 2.

Scalar Impossibility in Multi-Pillar Complexity Measures

O. Sudoma (2025) | DOI: 10.5281/zenodo.17562623

Impossibility theorem: no scalar can be simultaneously isomorphism-invariant and monotone across algorithmic, information-theoretic, dynamical, and geometric complexity. Faithful measurement requires 4D vectors.

Software Tools

AI-driven infrastructure for managing complex research programs at scale

🧮

Prime Factor Distribution Explorer

Live • Number Theory

Interactive tool for exploring how prime factors distribute across modular residue classes. Real-time computation with Fourier analysis.

Visualizes omega function patterns, decay laws, and theoretical predictions.

Tech Stack

JavaScript · Plotly.js · Number Theory · D3.js

🤖

Claude Code Research Orchestrator

Beta • Telegram Bot

Agent orchestration with state machine workflows, hook management, and Telegram monitoring.

Monitors progress, workflows, experiments launched in your IDE (like VS Code).

Knowledge/Document RAG for your project management and research.

Tech Stack

Python · Telegram Bot API · State Machines · Structured Logging · Async/Await

📊

Vector Complexity Interactive Demo

Live • Interactive Dashboard

Interactive dashboard demonstrating why you can't average system health into a single number. Proves the scalar impossibility theorem with live visualizations.

Explore DORA metrics, SPACE framework applications. See how scalar averaging hides critical trade-offs.

Tech Stack

Vanilla JS · Plotly.js · ES6 Modules · Observer Pattern

Skills & Expertise

Project and Program Management

  • Agile/Scrum
  • JIRA, Confluence
  • AI Agent Orchestration
  • Reproducibility
  • Adversarial Review
  • Compliance
  • Documentation
  • Strategic Leadership

Technical

  • Python (NumPy, SciPy, SymPy)
  • JavaScript, D3.js
  • LaTeX, Jupyter, Pandas
  • Git, GitHub, CI/CD
  • Docker

Research

  • Interpretability, Alignment, Socie tal Impacts
  • AI for Science
  • Mathematical Physics
  • Numerical Methods
  • Qualitative Methods

Certifications & Credentials

Project Management Professional (PMP)®

PMI Global
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AI in Agile Delivery

PMI
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PMI-CPMAI™ (Intro)

PMI Certified Professional in Managing AI
View Certificate

Jira Cloud Administration

LinkedIn Learning
Jira Cert
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Academic Research: Quantitative

LinkedIn Learning
Research Cert
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Salesforce for Sales Managers

LinkedIn Learning
Salesforce Cert
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Let's Connect

Interested in collaboration, research opportunities, or technical program management roles? Let's talk.