Robert Berman works mainly on analytical aspects of complex algebraic and differential geometry. His research focuses on connections between these fields and probability, statistical mechanics and mathematical physics and also arithmetic (Arakelov) geometry, as well as convex geometry and analysis. In broad terms his research concerns, among other things, the problem of describing the emergence of coherent structures in large scale complex systems from a geometric and analytic point of view. His work reveals that similar mathematical tools and structures can be used to understand seemingly unrelated areas, ranging from the geometric structure of the universe to signal processing and metrology, as well as the complexity of algebraic equations.He is (since 2013) a Knut and Alice Wallenberg Academy Fellow (see http://www.wallenbergacademyfellows.se/en/List-of-scientists/BermanRobert/ for a popular account of some of his work).

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Inventiones Mathematicae. Vol. 203 (3), p. 973-1025

journal fur de reine und angewandte mathematik. Vol. Epub ahead of print

Geometric and Functional Analysis. Vol. 24 (6), p. 1683-1730

Compositio Mathematica. Vol. 150 (10), p. 1703-1728

Indiana University Mathematics Journal. Vol. 63 (2), p. 345-365

Communications in Mathematical Physics. Vol. 327 (1), p. 1-47

Annales de la faculté des sciences de Toulouse. Vol. 22 (4), p. 649-711

Advances in Mathematics. Vol. 248, p. 1254-1297

Analysis & Pde. Vol. 6 (1), p. 131-180

Publications mathématiques. Vol. 117 (1), p. 179-245

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International Mathematics Research Notices (22), p. 5031-5062

Perspectives in Analysis, Geometry, and Topology: On the Occasion of the 60th Birthday of Oleg Viro. Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry and Topology. Stockholm, Sweden, May 19-25, 2008 . Vol. 296, p. 39-66

arxiv:1011.3976

preprint på arxiv.org

Journal of High Energy Physics (10), p. Art. no. 106

Acta Mathematica. Vol. 207 (1), p. 1-27

arXiv:1011.3976

preprint på arxiv.org

preprint på arxiv.org

Inventiones Mathematicae. Vol. 181 (2), p. 337-394

International Journal of Mathematics. Vol. 21 (1), p. 77-115

http://arxiv.org/abs/0905.1246

Indiana University Mathematics Journal. Vol. 58 (4), p. 1921-1946

American Journal of Mathematics. Vol. 131 (5), p. 1485-1524

Inventiones Mathematicae. Vol. 181 (2), p. 337-394

www.arxiv.org, artikelnr 0807.0035

Arkiv för Matematik. Vol. 46 (2), p. 197-217

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www.arxiv.org, artikel 0704.1640

Journal of Geometric Analysis. Vol. 16 (1), p. 1-22

Annales De L Institut Fourier. Vol. 55 (4), p. 1055-