I am an engineering student in Türkiye and I have a research project. For this, I attended a lunch at a lab at one of the best universities in America and gave a short presentation. Afterwards, I had a few conversations with the lab director, a professor, and he referred me to an associate professor. I want to do visiting research and join the research team, but I don't want to be impatient. How should I approach this? I would appreciate advice from people who have done research in America before.