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Prize: David P. Robbins Prize

David P. Robbins Prize 2022 Alin Bostan; Irina Kurkova; Kilian Raschel

Alin Bostan, Irina Kurkova, and Kilian Raschel will receive the 2022 AMS David P. Robbins Prize for their paper “A human proof of Gessel's lattice path conjecture,” published in *Transactions of the American Mathematical Society* in 2017. The paper proves highly nontrivial enumeration results on a family of lattice paths known as Gessel walks. These simple-to-describe walks have a surprisingly beautiful enumeration that withstands standard combinatorial techniques. The proof makes an inspired use of experimentation to connect the problem with a remarkable identity involving elliptic functions. Unlike previous arguments, this novel proof method avoids any reference to large-scale computation.

Prize announcement as seen in the news release.

David P. Robbins Prize 2019 Roger E. Behrend; Ilse Fischer; Matjaz Konvalinka

The 2019 David P. Robbins Prize was awarded to **Roger Behrend**, **Ilse Fischer** and **Matjaž Konvalinka **for their paper "Diagonally and antidiagonally symmetric alternating sign matrices of odd order," published in 2017 in *Advances in Mathematics* (Vol. 315, pp. 324-365).

Prize announcement as seen in *Notices of the AMS* and in the news release.

David P. Robbins Prize 2016 Christoph Koutschan; Manuel Kauers; Doron Zeilberger

Fourth award: to Christoph Koutschan, Manuel Kauers, and Doron Zeilberger for their paper, "Proof of George Andrews's and David Robbins's q-TSPP conjecture," Proceedings of the National Academy of Sciences (USA) (2011).

Prize announcement as seen in *Notices of the AMS* and in the news release.

David P. Robbins Prize 2013 Alexander Razborov

Third award: to Alexander Razborov "for his paper, "On the minimal density of triangles in graphs" (Combinatorics, Probability and Computing 17 (2008), no. 4, 603-618), and for introducing a new powerful method, flag algebras, to solve problems in extremal combinatorics."

Prize announcement as seen in *Notices of the AMS*.

David P. Robbins Prize 2010 Ileana Streinu

Second award: to Ileana Streinu of Smith College for her paper "Pseudo-triangulations, rigidity and motion planning", Discrete Comput. Geom. 34 (2005), no. 4, 587-635.

Prize announcement as seen in *Notices of the AMS*.

David P. Robbins Prize 2007 Samuel P. Ferguson; Thomas C. Hales

First award: to Samuel P. Ferguson and Thomas C. Hales, for the paper "A proof of the Kepler conjecture," by Thomas C. Hales, Annals of Mathematics, 162 (2005), 1065-1185 (Section 5 of this paper is jointly authored with Ferguson).

Prize announcement as seen in *Notices of the AMS*.