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The Clay Mathematics Institute announced that Ryan Chen '19 and Anna Skorobogatova *24  have been awarded Clay Research Fellowships.

Chen received his PhD from MIT and will return to Princeton next year as a Clay Research Fellow. He focuses on themes surrounding the Gross–Zagier-type formula for high-dimensional Shimura varieties, where the main aim is to relate the arithmetic intersection numbers of algebraic cycles to the special values of L-functions and their derivatives.

Skorobogatova completed here PhD at Princeton last year under the supervision of Camillo De Lellis and is currently a ETH-ITS Junior Fellow at ETH Zürich. She has made fundamental contributions to the regularity theory of minimal surfaces and to the structural understanding of their singularities. She established the rectifiability of the top-dimensional part of the singular set of area-minimizing integral currents, and the uniqueness of the tangent cones at almost every singular point, solving a problem that had remained completely open in codimensions greater than one, despite great efforts following Almgren’s Big Regularity Paper. She has also proved that the singular set of area-minimizing currents mod an integer q is a regular C^1 hypersurface aside from a lower-dimensional exceptional set, in all dimensions and codimensions and for all moduli q.