I believe you may need the Typescript typings for JQuery. Since you said you're using Visual Studio, you could use Nuget to get them.
https://www.nuget.org/packages/jquery.TypeScript.DefinitelyTyped/
The command in Nuget Package Manager Console is
Install-Package jquery.TypeScript.DefinitelyTyped
Update: As noted in the comment this package hasn't been updated since 2016. But you can still visit their Github page at https://github.com/DefinitelyTyped/DefinitelyTyped and download the types. Navigate the folder for your library and then download the index.d.ts
file there. Pop it anywhere in your project directory and VS should use it right away.