Jack A. Thorne FRS (born 13 June 1987) is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory.
Jack Thorne | |
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Born | Jack A. Thorne 13 June 1987 Hereford, England |
Nationality | British |
Alma mater | University of Cambridge Harvard University |
Awards |
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Scientific career | |
Fields | Mathematics |
Institutions | |
Thesis | The Arithmetic of Simple Singularities (2012) |
Doctoral advisor | Richard Taylor, Benedict Gross |
Thorne read mathematics at Trinity Hall, Cambridge. He completed his PhD with Benedict Gross and Richard Taylor at Harvard University in 2012.
Thorne was a Clay Research Fellow.[1] Currently, he is a Professor of Mathematics at the University of Cambridge,[2] where he has been since 2015, and is also a fellow at Trinity Hall, Cambridge.
Thorne's paper on adequate representations[3] significantly extended the applicability of the Taylor–Wiles method. His paper on deformations of reducible representations[4] generalized previous results of Chris Skinner and Andrew Wiles from two-dimensional representations to n-dimensional representations. With Gebhard Böckle, Michael Harris, and Chandrashekhar Khare, he has applied techniques from modularity lifting to the Langlands conjectures over function fields. With Kai-Wen Lan, Harris, and Richard Taylor, Thorne constructed Galois representations associated to non-self dual regular algebraic cuspidal automorphic forms for GL(n) over CM fields.[5] Thorne's 2015 joint work with Khare on potential automorphy and Leopoldt's conjecture[6] has led to a proof of a potential version of the modularity conjecture[7] for elliptic curves over imaginary quadratic fields.[8]
In joint work with James Newton, Thorne has established symmetric power functoriality for all holomorphic modular forms.[9][10]
Thorne was awarded the Whitehead Prize in 2017.[11] In 2018, Thorne was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.[12][13] He was awarded the 2018 SASTRA Ramanujan Prize for his contributions to the field of mathematics. He shared the prize with Yifeng Liu.[14][15][16] In April 2020 he was elected a Fellow of the Royal Society.[17] In 2020 he received the EMS Prize of the European Mathematical Society,[18] in 2021 he was awarded a New Horizons in Mathematics Prize and in 2022 he was awarded the Adams Prize.[19] For 2023 he received the Cole Prize in Number Theory of the American Mathematical Society.[20]