Ernest S. Croot III

{{short description|American mathematician}}

{{Infobox scientist

| name = Ernest S. Croot III

| image = Ernest S. Croot III.jpg

| caption =

| birth_date = {{birth-date and age|30 July 1972}}

| birth_place =

| death_date =

| death_place =

| nationality = American

| field = Mathematics

| work_institution = Georgia Institute of Technology

| alma_mater = University of Georgia
Centre College

| doctoral_advisor =

}}

Ernest S. Croot III is a mathematician and professor at the School of Mathematics, Georgia Institute of Technology. He is known for his solution of the Erdős–Graham conjecture,{{cite news|first=Phil|last=Williams|url=http://www.uga.edu/columns/991011/campnews4.html|title=Grad student rewarded for solving well-known mathematics problem|work=The Red and Black|date=1999-10-11|access-date=2007-10-11}}{{cite journal | journal = Mathematical Notes | year = 2006 | volume = 79 | issue = 3 | pages = 356–365 | title = Combinational properties of sets of residues modulo a prime and the Erdős–Graham problem | last1 = Glibichuk | first1 = A.A. | doi = 10.1007/s11006-006-0040-8 | s2cid = 121545265 }} and for contributing to the solution of the cap set problem.{{citation|title=Simple Set Game Proof Stuns Mathematicians|magazine=Quanta|first=Erica|last=Klarreich|date=May 31, 2016|url=https://www.quantamagazine.org/20160531-set-proof-stuns-mathematicians/}}.