Your employer brand is not what you say it is. It is how other's feel about your organisation and its employees, and it is somewhat different to all and everyone who encounter your organisation, its employees, products, services or news at any platform or location. That said, it's still manageable. Those who build employer brand for an expert organisation have an especially good tool at hand - thought leadership. It works for almost any kind of organisation at any field of expertise, but significantly easier for industries, companies and skillset that related to highly specialized knowledge and skills. Here's how to approach thought leadership as an employer branding opportunity.
Tom Laine wrote an article on this topic at his blog, which was then summarized with an AI tool and produced as a podcast discussion.