Selected Reviews

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I also review papers and books for Mathematical Reviews, Zentralblatt fur Mathematik, the Bulletin of the American Mathematical Society, the American Mathematical Monthly and SIAM Review. Here are some of my longer reviews:

My review of Fock and Goncharov's "Moduli of local systems and higher Teichmueller theory"

Linear submanifolds and bisectors in complex hyperbolic space,

by Po-Hsun Hsieh, Forum Math. 10 (1998), 413--434. [ .ps or .dvi]

Lectures on gauge theory and integrable systems,

by Michele Audin, in Gauge theory and symplectic geometry (Montreal 1995), 1--48, NATO Advanced Science Institute Ser. C Math. Phys. Sci., 488, Kluwer Acad. Publ., Dordrecht, 1997. [ .ps or .dvi]

Geometrical aspects of Schlesinger's Equation,

by Nigel Hitchin. J. Geom. Phys. 23 (1997), no. 3-4, 287--300. [ .ps or .dvi]

Lie groups and Teichmuller space,

by Nigel Hitchin. Topology 31 (1992), no. 3, 449--473. [ .ps or .dvi]

Differential Geometry: Cartan's Generalization of Cartan's Erlangen Program

by Richard Sharpe With a foreword by S. S. Chern. Graduate Texts in Mathematics, 166. Springer-Verlag, New York, 1997. xx+421 pp. ISBN: 0-387-94732-9 [ .ps or .dvi ]

Topology and Geometry,

by Glen Bredon, Graduate Texts in Mathematics, Springer Verlag, (reviewed in the American Mathematical Monthly, vol. 105, No. 2, (1998), 192--194. [ .ps or .dvi]

Group systems, groupoids, and moduli spaces of parabolic bundles,

by K. Guruprasad, J. Huebschmann, L. Jeffrey, A. Weinstein, Duke Math. J. 89 (1997), no. 2, 377--412. [ .ps or .dvi ]

Higgs bundles and local systems,

by Carlos Simpson. Publ. Math. d'I.H.E.S. No. 75 (1992), 5--95. [ .ps or .dvi ]

The symplectic structure on moduli space,

by A. Weinstein, The Floer memorial volume, 627--635, Progr. Math., 133, Birkhauser, Basel, 1995. [ .ps or .dvi ]

Hausdorff dimensions of limit sets I,

by Kevin Corlette, Invent. Math. 102 (1990), no. 3, 521--541. [ .ps or .dvi ]

A Generalization of Casson's Invariant,

by Kevin Walker, (reviewed in the Bulletin of the American Mathematical Society) [ .ps or .dvi ]

Rigid representations of Kahlerian fundamental groups,

by Kevin Corlette, J. Differential Geom. 33 (1991), no. 1, 239--252. [ .ps or .dvi ]

Nonabelian Hodge theory.

by Kevin Corlette, Differential geometry: geometry in mathematical physics and related topics (Los Angeles, CA, 1990), 125--144, Proc. Sympos. Pure Math., 54, Part 2, Amer. Math. Soc., Providence, RI, 1993. [ .ps or .dvi ]

Varietes anti-de Sitter de dimension 3 possedant un champ de Killing non trivial,

by Francois Salein ( C. R. Acad. Sci. Paris Ser. 1 Math. t.324, (1997), 525--530) [ .ps or .dvi ]

Algorithmic and Computer Methods for Three-Manifolds,

by A. T. Fomenko and S. V. Matveed (review to appear in SIAM Journal). [ .ps or .dvi ]

Grafting, harmonic maps and projective structures on surfaces

by H. Tanigawa, J.Diff.Geo. [ .ps or .dvi ]

Divergence of Projective Structures and Lengths of Measured Laminations

by H. Tanigawa, Duke Math. Journal vol. 98 no.2 209--215. .ps or .dvi

Moduli of Riemann surfaces: Transcendental Aspects

by R. Hain. .ps or .dvi .

Affine spheres and convex RPn-manifolds

by J. Loftin .ps or .dvi or .pdf .

This page was last modified June 3, 2010. Back to home.