Frederico Xavier's Home Page

WELCOME TO MY HOME PAGE

Address:

Frederico Xavier
Department of Mathematics
University of Notre Dame
Notre Dame, Indiana 46556-5683

Phone:

(574) 631-6288 (Office)
(574) 272-6579 (Fax)

Email: xavier.1@nd.edu

Research Interests: Differential Geometry, Geometric Analysis

Some of My Recent Publications:

[30] F. Xavier (with F. Fontenele) A Riemannian Bieberbach Estimate (preprint)

[29] F. Xavier (with F. Fontenele) A Complex Analytic Proof of Catalan's Theorem (preprint)

[28] F. Xavier An Index Formula for Loewner Vector Fields (Math. Res. Lett. 14 (2007), no. 5, 865-873)

[27] F. Xavier (with S. Nollet) On Kulikov's Problem (Archiv der Mathematik 89 (2007), no. 5, 385-389)

[26] F. Xavier Using Gauss Maps to Detect Intersections (Enseign. Math. (2), 53 (2007), no. 1-2, 15-31)

[25] F. Xavier Rigidity of the Identity (Commun. Contemp. Math. 9 (2007) no. 5, 691-699)

[24] F. Xavier (with S. Nollet and L. Taylor) Birationality of etale maps via surgery (Journal fur die reine und angewandte Mathematik, to appear) (preprint)

[23] F. Xavier (with H. Donnelly) Spectral stability of hyperbolic spaces (Math Z., 253, 655-658 (2006))

[22] F. Xavier (with S. Nollet), Holomorphic Injectivity and the Hopf map, (Geometric and Functional Analysis 14, No. 6 1339-1351 (2004))

[21] F. Xavier (with S. Nollet) Global inversion via the Palais-Smale condition, (Discrete and continuous dynamical systems, Series A, 8, 17-28 (2002))

[20] F. Xavier (with B. Smyth), Eigenvalue estimates and the index of Hessian fields, (Bull. London Math. Soc. 33, 109-112 (2001))

[19] F. Xavier (with J.Cao), Kahler parabolicity and the Euler number of compact manifolds of non-positive curvature, (Math. Ann., 319, 483-491 (2001))

[18] F. Xavier (with V. Nitica) Schrodinger operators and topological pressure on manifolds of negative curvature, (Proc. Symposia of AMS, Smooth ergodic theory and Applications, edited by Katok, vol. 69, 791-796 (2001))