Richard Schwartz

Richard Evan Schwartz (Los Angeles, 11 de agosto de 1966) é um matemático estadunidense, que trabalha com teoria geométrica de grupos, geometria e sistemas dinâmicos.

Schwartz estudou na Universidade da Califórnia em Los Angeles (bacharelado em 1987) e obteve um doutorado em 1991 na Universidade de Princeton, orientado por William Thurston, com a tese The limit sets of some infinitely generated Schottky groups.^[1] Lecionou na Universidade de Maryland e é professor da Universidade Brown.

Foi palestrante convidado do Congresso Internacional de Matemáticos em Pequim (2002: Complex hyperbolic triangle groups). É fellow da American Mathematical Society.

• Spherical CR Geometry and Dehn Surgery, Annals of Mathematics Studies 165, Princeton University Press 2007
• Outer Billiards on Kites, Annals of Mathematics Studies, 171, Princeton University Press 2009
• You Can Count on Monsters A.K. Peters Ltd., 2010 (mathematisches Kinderbuch)
• Really Big Numbers, American Math Society, 2014 (mathematisches Kinderbuch)
• Mostly Surfaces, American Math Society, 2011 unformatiertes pdf
• Elementary surprises in projective geometry, Mathematical Intelligencer 2010
• Pappus' theorem and the modular group. Inst. Hautes Études Sci. Publ. Math. No. 78 (1993), 187–206 (1994).
• The quasi-isometry classification of rank one lattices. Inst. Hautes Études Sci. Publ. Math. No. 82 (1995), 133–168 (1996).
• Quasi-isometric rigidity and Diophantine approximation. Acta Math. 177 (1996), no. 1, 75–112.
• com Benson Farb: The large-scale geometry of Hilbert modular groups. J. Differential Geom. 44 (1996), no. 3, 435–478.
• Symmetric patterns of geodesics and automorphisms of surface groups. Invent. Math. 128 (1997), no. 1, 177–199.
• Degenerating the complex hyperbolic ideal triangle groups. Acta Math. 186 (2001), no. 1, 105–154.
• Ideal triangle groups, dented tori, and numerical analysis. Ann. of Math. (2) 153 (2001), no. 3, 533–598.
• Complex hyperbolic triangle groups. Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 339–349, Higher Ed. Press, Beijing, 2002.
• Unbounded orbits for outer billiards. I. J. Mod. Dyn. 1 (2007), no. 3, 371–424.
• com Valentin Ovsienko, Serge Tabachnikov: The pentagram map: A discrete integrable system. Comm. Math. Phys. 299 (2010), no. 2, 409–446.
• com Valentin Ovsienko, Serge Tabachnikov: Liouville-Arnold integrability of the pentagram map on closed polygons. Duke Math. J. 162 (2013), no. 12, 2149–2196.

• Marcel Berger: Dynamiser la géométrie élémentaire: introduction à des travaux de Richard Schwartz. Rend. Mat. Appl.(7) 25 (2005), no. 2, 127–153. pdf

Referências

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