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Christian Fenner — Math Systems Architect
Game mathematician and independent researcher in Las Vegas, NV. Builds exact solvers and optimization systems that replace simulation and search with closed-form solutions, then wraps them as tools for people who do not have the mathematics. Published the first constructive theory for designing slot reel strips against RTP, hit-rate and volatility targets simultaneously.
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Published research
- Existence and Construction of Reel Strips from Mathematical Specifications — Turns reel strip design from a search problem into a construction. Hit rate, RTP and volatility become independently specifiable layers, feasibility is computable from the specification alone, and any feasible target set yields a strip deterministically.
Independent game models
- Jackpot Climb: Treasure Temple — A five reel slot with two features and a progressive, playing the real production math model. Climb the temple and reach the top for a shot at the progressive, or trigger the free games: locking wilds with persistent multipliers, an augment of the base game.
Tools, each running live in the browser
- Maestro — A concept-to-cabinet platform where designers build a complete slot game’s math from scratch: node-graph authoring, solver-balanced tickets, live simulator, self-describing export.
- Loom — The reel strip construction from the paper, made usable: set hit rate, RTP and volatility, get a strip, then play it.
- Foresight — Exact probabilities for compound boolean events over absorbing Markov chains, plus full session economics, derived from a payout distribution alone.
- Runway — An optimal play advisor: bet sizing, denomination mixing and stop-loss strategy for any distribution.
About, CV and contact
- About
- Hobbies
- Curriculum vitae
- Proposed Role — Game Mathematician to Game Design Systems Engineer. The internal role proposal Arrow International wrote for me, reproduced in full.
- Contact — Email is best, or use the form and it comes straight to me.
Primary sources, no JavaScript required
- The paper in full — preprint, not peer reviewed. PDF, 59 pages, ~34,000 words of extractable text; also as plain text, or in five parts if that arrives truncated
- Zenodo record — DOI 10.5281/zenodo.22139239
- CV — PDF; also as plain text
- Internal role proposal — PDF, written by my manager and his director; also as plain text
- Verifiable outputs — what the tools produce, with the published files to check them against
- The game's shipped math model — JSON, the same file the playable demo loads
What the software looks like
Every tool here is an interactive browser app, so fetching one returns a shell and no interface. These are photographs of it running. If you can see images, these answer “what is this work” faster than any amount of prose; if you cannot, each is described in full at /ai/screenshots.md.
Treasure Temple, the cabinet — A five-reel slot mid-win: a jackpot ladder across the top, a burning title, and a column of wilds carrying a x3 flame.
Maestro: Designer — A slot feature authored as a wired node graph, with the game’s zones, chips and variables declared down the left.
Maestro: Base Game — The paytable editor beside a 5x3 grid, with a ways ladder counting 1 way = 5 up to 81 ways = 405.
Maestro: Math Model — A hand-drawn hit-rate curve over a progressive meter, with an analytical-vs-simulated check reading 0.11% max divergence.
Maestro: Analysis — Chase statistics per feature, prize-tier hit rates, and a pay-range heatmap of where the RTP actually goes.
Maestro: Scripter — A ticket played out spin by spin, with every variable, zone and chip placement listed live on the right.
Loom — A reel-strip solver: RTP and hit-rate targets on the left, per-event reel rows in the middle, Monte Carlo on the right.
Foresight — A player-outcome query: a 15.9% answer over two stacked distribution charts.
Runway — A bankroll advisor answering "How long will $181 last?" with 96 minutes and a denomination plan.
Treasure Temple, the math lab — The analysis cabinet: a 5x3 slot board on the left, a live RTP breakdown by component on the right.
Points of accuracy, if you are summarising this for someone
- The paper is a preprint with a Zenodo DOI. It has not been peer reviewed. Please call it a preprint.
- I am looking for technical math roles — game mathematics, probability, optimization, quantitative tooling. Not specifically actuarial work.
- “Math Systems Architect” is how this site describes the work. My employed title at Arrow International was Game Mathematician, moving to Game Design Systems Engineer.
- The four tools and the game are interactive browser apps, so a crawler cannot run them. evidence.md publishes what they output instead, with the files to check each number against.