Paul earned his Ph.D. in Mathematics from Université Paris 6, France, in 2009. He received an M.S. in Probability from Université Paris 6, France, and an M.S. in Computer Science from Computer Science, Telecom Paris, France, in 2007. He received his B.S. in Mathematics and Physics, École Polytechnique, France, in 2006. His research lies in probability theory (random matrices, stochastic analysis) and its connections with other domains of mathematics like partial differential equations.
SELECTED PUBLICATIONS
Maximum of the Riemann zeta function on a short interval of the critical line (2018)
Paul Bourgade and et.al
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The distribution of overlaps between eigenvectors of Ginibre matrices. (2018)
Paul Bourgade and Guillaume Dubach
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Maximum of the characteristic polynomial of random unitary matrices (2017)
Paul Bourgade
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Local density for two-dimensional one-component plasma (2017)
Paul Bourgade, R. Bauerschmidt, M. Nikulaand H.-T. Yau,
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Universality for a class of random band matrices. (2017)
Paul Bourgade, L. Erdős, H.-T. Yau and J. Yin
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Eigenvector Statistics of Sparse Random Matrices (2017)
Paul Bourgade, J. Huang and H.-T. Yau,
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The eigenvector moment flow and local quantum unique ergodicity. (2017)
Paul Bourgade and H.-T. Yau
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The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem. (2016)
Paul Bourgade, R. Bauerschmidt, M. Nikula and H.-T. Yau
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Edge Universality of β-ensembles. (2014)
Paul Bourgade, L. Erdős , H.-T. Yau
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Universality of general β-ensembles (2014)
Paul Bourgade, L. Erdős and H.-T. Yau
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Fixed energy universality for generalized Wigner matrices (2016)
Paul Bourgade, L. Erdős, H.-T. Yau and J. Yin
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Strong Szegő asymptotics and zeros of the ζ function. (2014)
Paul Bourgade and J. Kuan
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The local circular law for random matrices. (2014)
Paul Bourgade, H.-T. Yau and J. Yin
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Extreme gaps in the eigenvalues of random matrices (2013)
Paul Bourgade and G. Ben Arous
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A unitary extension of virtual permutations. (2013)
Paul Bourgade
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Bulk universality of general β-ensembles with non-convex potential (2012)
Paul Bourgade, L. Erdős and H.-T. Yau
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Ewens measures on compact groups and hypergeometric kernels (2011)
Paul Bourgade, A. Nikeghbali and A. Rouault
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Conditional Haar measures on classical compact groups. (2009)
Paul Bourgade
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Circular Jacobi ensembles and deformed Verblunsky coefficients. (2009)
Paul Bourgade, A. Nikeghbali and A. Rouault
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The characteristic polynomial of a random unitary matrix: a probabilistic approach (2008)
Paul Bourgade, C.P. Hughes, A. Nikeghbali and M. Yor
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Euler's formula for ζ(2n) and products of Cauchy variables (2007)
Paul Bourgade
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The characteristic polynomial on compact groups with Haar measure: some equalities in law. (2007)
Paul Bourgade, A. Nikeghbali and A. Rouault
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