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).

Analysis and PDE. Vol. 11 (6), p. 1343-1380

Journal article

American Journal of Mathematics. Vol. 140 (3), p. 789-820

Journal article

Trends in Mathematics (9,78332E+12), p. 111-120

Book chapter

Journal of the American Mathematical Society. Vol. 30 (4), p. 1165-1196

Journal article

Communications in Mathematical Physics. Vol. 354 (3), p. 1133-1172

Journal article

Journal für die Reine und Angewandte Mathematik. Vol. 2017 (723), p. 127-152

Journal article

Geometry and Topology. Vol. 21 (5), p. 2945-2988

Journal article

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

Journal article

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

Journal article

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

Journal article

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

Journal article

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

Journal article

Analysis and PDE. Vol. 6 (1), p. 131-180

Journal article

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

Journal article

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

Journal article

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

Journal article

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

Paper in proceedings

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

Journal article

Lecture Notes in Mathematics. Vol. 2038, p. 283-302

Journal article

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

Magazine article

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

Journal article

Preprint

Magazine article

Preprint

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

Journal article

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

Journal article

Magazine article

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

Journal article

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

Journal article

Magazine article

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

Journal article

Preprint

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

Journal article

Preprint

Journal article

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

Journal article

Annales de lInstitut Fourier. Vol. 55 (4), p. 1055-

Journal article

There might be more projects where Robert Berman participates, but you have to be logged in as a Chalmers employee to see them.