Noga Alon
Professor Noga Alon has been appointed as a Clay Senior Scholar to participate in the IAS/PCMI program Extremal and Probabilistic Combinatorics.
Home — Current
Professor Noga Alon has been appointed as a Clay Senior Scholar to participate in the IAS/PCMI program Extremal and Probabilistic Combinatorics.
Home — Current
Professor János Pach has been appointed as a Clay Senior Scholar to participate in the IAS/PCMI program Extremal and Probabilistic Combinatorics.
Home — Current
Anna Skorobogatova obtained her PhD from Princeton University in 2024, supervised by Camillo De Lellis. She is currently an ETH-ITS Junior Fellow at the ETH in Zürich.
Skorobogatova works in geometric measure theory. 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.
Anna Skorobogatova has been appointed as a Clay Research Fellow for four years beginning 1 July 2025.
Photo: Sameer Khan, IAS
Home — Current
Alex Cohen will receive his PhD from the Massachusetts Institute of Technology in 2025, under the supervision of Larry Guth.
Cohen is a broad and thoughtful researcher who has made innovative contributions to harmonic analysis, combinatorics, and microlocal analysis. His work on the higher dimensional fractal uncertainty principle is of particular note. It has important applications to the field of quantum chaos, generalizing the celebrated work of Bourgain and Dyatlov to arbitrary dimensions. In this context, he also developed a higher-dimensional version of the Beurling-Malliavin theorem, a deep theorem about one complex variable from the early 1960s.
Alex Cohen has been appointed as a Clay Research Fellow for five years beginning 1 July 2025. He will be based initially at New York University.
Home — Current
Ryan Chen will receive his PhD in 2025 from the Massachusetts Institute of Technology, where he works under the guidance of Wei Zhang.
Chen is an arithmetic geometer of exceptional creativity with great technical expertise. His research 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. He has established, in great generality, a new Arithmetic Siegel–Weil formula, linking the Faltings heights of Kudla–Rapoport 1-cycles on integral models of unitary Shimura varieties to the first derivatives, near the central point, of non-singular Fourier coefficients of Siegel–Eisenstein series. His work has opened up new directions in understanding the arithmetic-geometric meaning of the sub-leading terms of various L-functions, including notable examples such as the standard L-functions and the adjoint L-functions associated to cohomological automorphic representations of unitary groups over totally real number fields.
Ryan Chen has been appointed as a Clay Research Fellow for five years beginning 1 July 2025. He will be based initially at Princeton University.
Photo: Jieru Chen
Home — Current
Professor François Labourie has been appointed as a Clay Senior Scholar from January to May 2026 to participate in Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups at the Simons Laufer Mathematical Research Institute.
Home — Current
Professor David Gabai has been appointed as a Clay Senior Scholar from January to May 2026 to participate in Topological and Geometric Structure in Low Dimensions at the Simons Laufer Mathematical Research Institute.
Home — Current
Professor Hendrik Weber has been appointed as a Clay Senior Scholar from August to December 2025 to participate in Recent Trends in Stochastic Partial Differential Equations at the Simons Laufer Mathematical Research Institute.
Home — Current
Professor Eric Carlen has been appointed as a Clay Senior Scholar from August to December 2025 to participate in Kinetic Theory: Novel Statistical, Stochastic and Analytical Method at the Simons Laufer Mathematical Research Institute.
Home — Current
Mehtaab Sawhney will receive his PhD from the Massachusetts Institute of Technology in 2024, under the supervision of Yufei Zhao.
While still a graduate student, Sawhney has achieved a stunning number of breakthroughs on fundamental problems across extremal combinatorics, probability theory, and theoretical computer science. He is a highly collaborative researcher whose partnership with Ashwin Sah has been particularly fruitful. His remarkable body of work has already transformed swathes of combinatorics. For example, working with Kwan, Sah and Simkin, he proved a 1973 conjecture of Erdős on the existence of high-girth Steiner triple systems; with Keevash and Sah he established the existence of subspace designs; with Jain and Sah he established sharp estimates for the singularity probability in a wide class of discrete random matrices; with Sah and Sahasrabudhe he showed the existence of the spectral distribution of sparse directed Erdős–Rényi graphs; and with Kwan, Sah and Sauermann, he developed highly novel tools in anti-concentration in order to prove the Erdős- McKay conjecture concerning edge statistics in Ramsey graphs.
Mehtaab was appointed as a Clay Research Fellow for a term of five years from 1 July 2024.
Photo: Mehtaab Sawhney
Home — Current
Ishan Levy will receive his PhD from the Massachusetts Institute of Technology in 2024, under the supervision of Michael Hopkins.
Levy is known for his deep and ingenious contributions to homotopy theory. His new techniques in algebraic K-theory have led to solutions of many old problems. In joint work with Burklund he established the rational convergence of the “Waldhausen tower” interpolating between the K-theory of the integers and one of the most important moduli spaces in the study of high dimensional manifolds, A(pt). He is most renowned for his work Ravenel’s “Telescope Conjecture.”
In the late 1970s Ravenel made a series of deep conjectures outlining a rich conceptual vision of stable homotopy. By the mid 1980s all but the Telescope Conjecture had been proved. For over 40 years this remained the most important problem in this part of homotopy theory. Levy’s methods in K-theory led him, Burklund, Hahn and Schlank, to the construction of counterexamples, and, in joint work with Burklund, Carmeli, Hahn, Schlank and Yanovski, to an estimate of the growth rate of the stable homotopy groups of spheres that was completely untouchable by previous methods.
Ishan was appointed as a Clay Research Fellow for a term of five years from 1 July 2024.
Photo: Archives of the Mathematisches Forschungsinstitut Oberwolfach
Home — Current
Professor Gábor Tardos has been appointed as a Clay Senior Scholar from January to May 2025 to participate in Extremal Combinatorics at the Simons Laufer Mathematical Research Institute.