In 2014, he became a Fellow of the American Mathematical Society "for contributions to analysis, geometry, and applied mathematics including medical imaging, as well as for service to the profession".
C L Epstein, The spectral theory of geometrically periodic hyperbolic 3-manifolds. Mem. Amer. Math. Soc. 58, no. 335, ix+161 pp.
Publications
C L Epstein, R B Melrose, G A Mendoza, Resolvent of the Laplacian on strictly pseudoconvex domains. Acta Mathematica 167, no. 1–2, 1–106.
C L Epstein, The hyperbolic Gauss map and quasiconformal reflections. Journal für die Reine und Angewandte Mathematik 372, 96–135.
C L Epstein, R Melrose, Contact degree and the index of Fourier integral operators. Math. Res. Lett. 5, no. 3, 363–381.
C L Epstein, Embeddable CR-structures and deformations of pseudoconvex surfaces. I. Formal deformations. J. Algebraic Geom. 5, no. 2, 277–368.
C L Epstein, CR-structures on three-dimensional circle bundles. Invent. Math. 109, no. 2, 351–403.
D M Burns, C L Epstein, Embeddability for three-dimensional CR-manifolds. J. Amer. Math. Soc. 3, no. 4, 809–841.
C L Epstein A relative index on the space of embeddable CR-structures. I. Annals of Mathematics 147, no. 1, 1–59.
C L Epstein, Asymptotics for closed geodesics in a homology class, the finite volume case. Duke Math. J. 55, no. 4, 717–757.
C L Epstein; G M Henkin, Stability of embeddings for pseudoconcave surfaces and their boundaries. Acta Mathematica 185, no. 2, 161–237.
C L Epstein, A relative index on the space of embeddable CR-structures. II. Annals of Mathematics 147, no. 1, 61–91.
D Burns, C L Epstein, Characteristic numbers of bounded domains. Acta Mathematica 164, no. 1–2, 29–71.
C L Epstein, M Gage, The curve shortening flow. Wave motion: theory, modelling, and computation, 15–59, Math. Sci. Res. Inst. Publ., 7, Springer, New York, 1987.
D M Burns, Jr, C L Epstein, A global invariant for three-dimensional CR-manifolds. Invent. Math. 92, no. 2, 333–348.
C L Epstein, G M Henkin, Extension of CR-structures for 3-dimensional pseudoconcave manifolds. Multidimensional complex analysis and partial differential equations, 51–67, Contemp. Math., 205, Amer. Math. Soc., Providence, RI, 1997.
C L Epstein, B Kleiner, Spherical means in annular regions. Comm. Pure Appl. Math. 46, no. 3, 441–451.
C L Epstein, G M Henkin, Embeddings for 3-dimensional CR-manifolds. Complex analysis and geometry, 223–236, Progr. Math., 188, Birkhäuser, Basel, 2000.
C L Epstein, Subelliptic SpinC Dirac operators. I. Annals of Mathematics'' 166, no. 1, 183–214.
