Embersilk

# Embersilk - AI Engineering Portfolio

> Embersilk is the professional portfolio of Mike Breault, an AI engineer specializing in building production LLM applications, autonomous agents, and intelligent systems. The site showcases expertise in multi-agent architectures, real-time AI integrations, and modern AI frameworks with a focus on practical, robust AI solutions.

## Professional Focus

- **LLM Applications**: Building production systems with OpenAI, Anthropic Claude, Google Gemini, and other LLM APIs
- **Autonomous Agents**: Multi-agent architectures, tool use, memory systems, and autonomous decision-making
- **Real-Time AI**: Live data processing with OpenAI TTS, streaming APIs, and websocket-based monitoring systems
- **AI Frameworks**: Expertise in LangChain, LangGraph, and emerging AI development tools

## Key Pages

- [Home / Professional Summary](https://embersilk.com): Overview of AI engineering expertise and key projects
- [Projects Portfolio](https://embersilk.com/projects): Showcase of AI projects including autonomous gaming agents, multi-agent systems, and real-time AI integrations
- [Contact](https://embersilk.com#contact): Email: [email protected] - Available for consulting and technical discussions

## Generators

- [Generators Index](https://embersilk.com/generators): Overview of all available generators
- [Color Generator](https://embersilk.com/generators/color): Random color generation
- [Integer Generator](https://embersilk.com/generators/integer): Random integer generation
- [Lorem Ipsum Generator](https://embersilk.com/generators/lorem-ipsum): Placeholder text generation
- [Password Generator](https://embersilk.com/generators/password): Secure random password generation
- [UUID4 Generator](https://embersilk.com/generators/uuid4): UUID version 4 generation
- [UUID5 Generator](https://embersilk.com/generators/uuid5): UUID version 5 generation

## Mathematical Tools

- [Math Tools Index](https://embersilk.com/math): Overview of all available mathematical tools
- [Base Converter](https://embersilk.com/math/base-converter): Convert numbers between different bases
- [Bezier Curve](https://embersilk.com/math/bezier-curve): Visualize and calculate Bezier curves
- [Binomial Expansion](https://embersilk.com/math/binomial-expansion): Expand (a + b)^n using the binomial theorem
- [Buffon's Needle](https://embersilk.com/math/buffon-needle): Monte Carlo simulation for estimating π
- [Chinese Remainder Theorem](https://embersilk.com/math/chinese-remainder-theorem): Solve systems of linear congruences
- [Collatz Conjecture](https://embersilk.com/math/collatz-conjecture): Explore the 3n+1 problem
- [Continued Fractions](https://embersilk.com/math/continued-fractions): Convert numbers to continued fraction representation
- [Divisor Function](https://embersilk.com/math/divisor-function): Calculate τ(n) and σ(n) divisor functions
- [Dyck Paths](https://embersilk.com/math/dyck-paths): Generate and visualize Dyck paths
- [Euler's Totient](https://embersilk.com/math/eulers-totient): Calculate φ(n) coprime count
- [Extended Euclidean Algorithm](https://embersilk.com/math/extended-euclidean): Calculate GCD and Bézout coefficients
- [Fibonacci](https://embersilk.com/math/fibonacci): Calculate Fibonacci numbers and golden ratio
- [Integer Partition](https://embersilk.com/math/integer-partition): Count ways to partition integers
- [Matrix Multiplication](https://embersilk.com/math/matrix-multiplication): Multiply matrices
- [Modular Exponentiation](https://embersilk.com/math/modular-exponentiation): Calculate a^b mod m efficiently
- [Numerical Integration](https://embersilk.com/math/numerical-integration): Numerical integration methods
- [Permutations & Combinations](https://embersilk.com/math/permutations-combinations): Calculate nPr and nCr
- [Polygon Area](https://embersilk.com/math/polygon-area): Calculate polygon area using Shoelace formula
- [Prime Factorization](https://embersilk.com/math/prime-factorization): Decompose integers into prime factors
- [Prime Number](https://embersilk.com/math/prime-number): Check if a number is prime
- [Quadratic Equation](https://embersilk.com/math/quadratic-equation): Solve quadratic equations
- [Sum of Five Squares](https://embersilk.com/math/sum-of-five-squares): Calculate r₅(n) representations

## Podcast

- [Intellectually Curious](https://embersilk.com/podcast/intellectually-curious): Over 1,400 AI-powered podcast episodes exploring science, mathematics, philosophy, and personal growth. Each episode features full transcripts and covers topics from quantum physics to combinatorics, generated and refined using large language models.