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Hannah Kerner Larson, 18, of Eugene, submitted an Intel Science Talent Search mathematics project about fusion categories — a type of abstract mathematical structure that appears in many areas of math, theoretical physics and computer science. One way to approach these categories is to study related objects called fusion rings and determine which rings are associated with fusion categories. In the case with two self-dual elements, Hannah gave a complete classification of the rank four fusion rings that give rise to fusion categories. Hannah attends South Eugene High School and is the winner of multiple math honors. She is principal cellist of the Eugene-Springfield Youth Symphony, a member of the Top Chamber Ensemble at the University of Oregon, and received two summer cello scholarships to the Kinhaven Music School in Vermont. In addition, she has studied piano since second grade and now coaches and plays piano duets for fun. After college, she plans to teach and conduct research in mathematics. The daughter of Steven Larson and Winifred Kerner, Hannah organizes math competitions for her school and speaks Spanish with ease.
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