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Jozef Dodziuk

Affiliations: 
City University of New York, New York, NY, United States 
Area:
Mathematics
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Parents

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Lipman Bers grad student 1973 Columbia
 (Finite Difference Approach to the Hodge Theory of Harmonic Forms)
Howard Garland grad student 1973 Columbia

Children

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Gordon L. Crandall grad student 2000 CUNY
Alexander Ushakov grad student 2005 CUNY
Svetoslav Zahariev grad student 2007 CUNY
Radoslaw K. Wojciechowski grad student 2008 CUNY
Sergei Artamoshin grad student 2011 CUNY
Ran Ji grad student 2014 CUNY

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Publications

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Basilio J, Dodziuk J, Sormani C. (2018) Sewing Riemannian Manifolds with Positive Scalar Curvature Journal of Geometric Analysis. 28: 3553-3602
Dodziuk J, Linnell P, Mathai V, et al. (2003) Approximating L2-invariants and the Atiyah conjecture Communications On Pure and Applied Mathematics. 56: 839-873
Dodziuk J, Linnell P, Mathai V, et al. (2003) Approximating L2-Invariants and the Atiyah Conjecture Communications On Pure and Applied Mathematics. 56: 0839-0873
Dodziuk J, Mathai V. (1998) ApproximatingL2Invariants of Amenable Covering Spaces: A Combinatorial Approach Journal of Functional Analysis. 154: 359-378
Baker GA, Dodziuk J. (1997) Stability of spectra of Hodge-de Rham laplacians Mathematische Zeitschrift. 224: 327-345
Dodziuk J, Mc Gowan J. (1995) The spectrum of the hodge laplacian for a degenerating family of hyperbolic three manifolds Transactions of the American Mathematical Society. 347: 1981-1995
Buser P, Colbois B, Dodziuk J. (1993) Tubes and eigenvalues for negatively curved manifolds The Journal of Geometric Analysis. 3: 1-26
Dodziuk J. (1986) Review: Peter B. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem Bulletin of the American Mathematical Society. 14: 322-325
Dodziuk J. (1984) Difference equations, isoperimetric inequality and transience of certain random walks Transactions of the American Mathematical Society. 284: 787-794
Dodziuk J. (1984) Every covering of a compact Riemann surface of genus greater than one carries a nontrivial L2 harmonic differential Acta Mathematica. 152: 49-56
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