Get history of builds executed in an agent using RESTAPI Follow

You can use the locator feature in your request like this:

http://<teamcity:8111>/app/rest/builds?locator=agent(name:<agent_name>)

It is also possible to include the fields feature to further customize your request like this:

http://<teamcity:8111>/app/rest/builds?locator=agent(name:<agent_name>)&fields=count,build(number,status,statusText,finishDate)

We do have some additional information available to help get you started in our documentation here:

https://www.jetbrains.com/help/teamcity/rest-api.html#RESTAPI-BuildRequests