Richard Evan Schwartz (Los Angeles, ) é um matemático estadunidense, que trabalha com teoria geométrica de grupos, geometria e sistemas dinâmicos.
Vida 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. 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.
Obras 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.
Bibliografia Marcel Berger: Dynamiser la géométrie élémentaire: introduction à des travaux de Richard Schwartz. Rend. Mat. Appl.(7) 25 (2005), no. 2, 127–153. pdf
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