Amol Aggarwal, 17, of Saratoga, submitted a project in mathematics investigating the comparison and measurement of distances in a convex polygon to Intel Science Talent Search, a program of Society for Science & the Public. Amol’s interest in combinatorial geometry was sparked by a contest problem involving the possible number of isosceles triangles formed by the vertices of a certain polygon. This led him to open the problems of ErdÖs and others concerning various counts involving vertex distances for the general class of convex polygons with n sides. Amol obtained improvements of known upper bounds for several such counts. His work has implications in computer vision and pattern recognition, optimization theory, computational and algebraic geometry, and music theory. Amol is a student at Saratoga High School, where he competes as a member of the award-winning chess team. He enjoys sharing his mathematical skills with fellow students as a participant in several local math clubs and volunteers at a local homeless shelter, where he helps students with their homework and tutors in all academic areas. Amol plans to pursue a career as a professor and researcher, combining his interests in mathematics and economics. He is the son of Alok and Sangeeta Aggarwal.

Tags: Amol Aggarwal, education, Intel Inspire, Intel Science Talent Search, Society for Science & the Public

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