Luxor's about page lists him first among its leadership team, with the title CEO, and dates the company to 2017. The role is also on the public record outside Luxor's own site: a press release furnished to the US Securities and Exchange Commission on Form 6-K by HIVE Blockchain Technologies Ltd. on 27 June 2023 quotes "Nick Hansen, CEO and Founder of Luxor".
The company he runs sits across most of the layers a miner touches. Luxor operates a bitcoin mining pool paying out on a full-pay-per-share basis, publishes the LuxOS replacement firmware for mining machines, brokers and finances hardware, sells hashprice hedges and over-the-counter hashrate contracts, and runs Hashrate Index, a public data service for mining economics. Its own about page states the premise he built it on: "Luxor was the first to treat Bitcoin hashrate as a true digital commodity."
Luxor Technology Corporation is a Delaware corporation and is privately held, so no filing sets out his role in the terms a public company would.