Do I stand a chance?

Hello… I posted in the columbia thread as well. I really want to go to columbia for computer science/math and want to know if I have much of a chance. I plan on EDing to columbia’s engineering school. I live on long island btw.
I have a ~96% unweighted and 100+% weighted. I used collegeboards conversion for the gpas.
According to conversion chart on collegeboard:
Unweighted GPA - 4.0
Weighted GPA - 5.0

-AP/IB/honors courses
I am still taking the courses but am in IB chem, physics, english, spanish, and math. I took the AP calc BC test and will recieve my score soon. Will take AP comp sci next year.

No class ranking but am in top cohort for a class of 574.

SAT
1460 800 math, 660 reading/writing - Hoping to have improved this last test

800 Math II
Will take physics this june

-ECs

I have been on the math team since 8th grade and am on the county team. I was president when they had one in 9th grade. I have been in science bowl since 8th grade. Was captain and president in 8th and 11th grade. I am also Vice president of our Math Honors society. I have been on brainstormers team as well. This year I researched with a researcher at Columbia and this summer I am continuing the work as well as starting another project with a Professor at stony brook university.

-Accomplishments
USA Math Talent search HM
NY State Math League First Place
JSHS Long Island semifinalist
LISEF Science Fair- Third Place
A lot of county math awards
Minor local Science Fair awards
Hong to be published for this years and next years research projects
I do community service and tutor underprivileged children. I was on JV tennis and am a black belt in tae kwon do. I also am an all county vocalist and have gotten a 100 on level 6 NYSSMA.

-Recs
My mentor has written me recs for summer programs and I think he will write run for this. He is a cornell and columbia alumni and is a researcher at columbia. I also think he is a grad school admissions officer at columbia as well but I am not sure how much weight that has. The recs he wrote me for programs are very good though. My math teacher will write a rec and I think it will be good as I am the only junior in the class of seniors of IB HL Math 2 and she likes me. I am trying to figure out who else to ask. Probably will ask my US History teacher.

Do I stand a chance? Any help would be very appreciated.

Also, would a grad school admissions officer and researcher’s rec help very much?

Lastly, does living in NY hurt my chances?

For some reason Hoping to be published for this years and next years research projects was corrected to Hong to be published for this years and next years research projects.

Your GPA sounds great, and while your SAT isn’t bad, I think you will benefit from taking it again and getting an even higher score - the middle SAT range for Columbia is 1450-1590. Your extra curriculars are so awesome because they show how passionate you are about math! College admissions love applicants that express passions and specific interests in their extra curriculars (and it sounds like your recommendations and research will give you a boost as well!) You should definitely apply, but I can’t say whether you’ll get in with 100% certainty because all the Ivies have such low acceptance rates and thousands of qualified applicants get turned away every year. However, I’d say you have a solid chance, especially if you decide to apply early decision.