Your GPA and SAT stats are good.
I can’t judge the value of published research without seeing it (are you from the Bay Area? Everyone there seems to be doing research these days so that dilutes the impact unless you have something truly notable and preferably referred to in one of your LORs)
Internship - probably not very valuable unless again you can show real value and impact because AOs usually assume you got this through your family connections.
Published app and AIME qual is helpful.
Overall, if applying ED I’d say it’s a high target for you but things change from year to year. Could become a low reach.
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Now, just out of curiosity…
Why is NYU your dream school? Have you visited the school?
What other schools are you applying to?