Hi Anon! This is a really good question, and I'll do my best to answer it as both a history student and a university professional.
(First, I'll note that my interest personally is not primarily in the American revolution, but rather in the 18th century more broadly. That includes lots of angles that I can pursue in Europe, not least looking at relations in the Atlantic world, the "republic of letters" and the enlightenment, and thematically I'm interested in queer history, which can be studied everywhere. I also have no desire to live in the US. But, yes, let's assume AmRev is the focus.)
There are different considerations for undergrad vs postgrad.
Undergraduate
At undergraduate level, it doesn't matter too much where you study. At this point in your journey, broadly speaking, the focus is on developing your academic skills, learning established content about your topic, and exploring a range of scholarly interests (not just the topic itself, but how to research that topic – i.e. methodologies). As long as your university has a department for American history, or even better a major, you're fine.
While you're busy with your degree, you can supplement your learning about the period in a lot of ways, including:
- Using your own library to access books, journal articles and databases (and getting materials through inter-library loans if need be)
- Using the vast and ever-growing online resources on American history provided by institutions like the Library of Congress, American universities and libraries (e.g. NYPL)
- Where something isn't already available online, contacting the archive that has it and seeing if you can get a copy (I wrote a post about that)
Talk to your history prof about your interest, and they will probably be able to suggest some avenues to pursue. One very useful tool is to look up the AmRev curriculum or syllabus from other univerisities and see what readings and topics they cover (just google: "american revolution" syllabus). Here's one that came up.
And then – and I'll put this point in bold because it's the most important thing I'll say here:
👉✨Attend conferences✨👈
Conferences are where you make invaluable connections with like-minded scholars, hear about new research, find out about opportunities (scholarships, programs, funding, etc.), discover what a career in academia actually looks like, get advice from people already doing the job you want to do, and so on. There are even conferences specifically for undergrad students, or there might be a track at a generalist conference that allows emerging researchers to present on a topic. Lots of these take place online (hence, cheaper), or you might be able to apply for funding from your university to attend (or idk you have a fabulously wealthy great-aunt).
Postgraduate
While undergrad is more about learning, postgrad is more about finding out. The higher up the ladder you go, the narrower your focus becomes, and you start to need more specialised guidance. To get the most out of your learning, you need to go where the experts are, and naturally, many of the most cutting-edge scholars on American history are, well, in America. You'll want to be surrounded by a community of like-minded scholars. And yeah, "being there" can be important not just for better access to primary materials, but also for insights that come from physical, social and cultural proximity.
That said, I don't think it's impossible (or inadvisable) to study the American revolution outside of America; it's just trickier. Doing that successfully comes down to 1) finding the right advisor and 2) choosing the right topic.
By this point, you should know who the leading scholars are in your particular niche of interest. Nobody really studies "the American revolution" writ large; rather, they (and you) will focus on the political or racial or sociocultural or regional or culinary or-- whatever aspect of it. It might just happen that the people in your field are located near you.
You can also approach the topic from a different angle – start from a local point of interest that you can to relate to the AmRev. (Maybe you're Italian, and you know about Italian History Blorbo who went to fight in the war, and there's a story to tell there. Maybe you're Dutch and you have things to say about the intricacies of the financial and political support the Netherlands gave to America. And so on.) This might, in fact, lead to novel insights and perspectives that haven't been explored yet.
If anyone wants to share their own experiences, please feel free!