Arjun Ranganath Puranik
Illinois
Arjun Ranganath Puranik, 17, of Palatine, submitted a mathematics project to the
Intel Science Talent Search that classifies the representations of rational
Cherednik algebras, which have applications in quantum physics. Arjun's research
gives a deepened understanding of H_{3}, the group of symmetries of the regular
icosahedron (a polyhedron built of 20 equilateral triangles). He studies an
algebraic structure built from H_{3}, called the rational Cherednik algebra. His
classification of finite dimensional representations of this algebra provides
useful linear algebra information about this complicated structure. His result
contributes to the efforts to classify all rational Cherednik algebras. Arjun,
who was born in India, is the son of Ranganath and Parimala Puranik. He is first
in his class of 747 at William Fremd High School where he is managing editor of
the newspaper, lead member of the math team and captain of the scholastic and
science bowl teams. He has been recognized for his achievements in varsity
tennis and piano and is a weekly volunteer at the Alexian Brothers Medical
Center. His college choices include Stanford and MIT and he plans to work as a
researcher.
