Les Wilson's home page

Leslie C. Wilson,
Mathematics Professor

"Put thyself into the trick of singularity", Twelfth Night, William Shakespeare

Office	Email
I'm now Emeritus, but I'm generally in Thursday afternoon
Phys Sci Bldg 308	les@math.hawaii.edu

Math Links

Papers and Preprints

Equivalence of stable mappings between two-dimensional manifolds, J. Differential Geometry 11 (1976), 1-14.

Stability of Gauss maps, (with D. Bleecker) Illinois J. Math. 22 (1978), 279-289.

Non-openness of the set of Thom-Boardman maps, Pacific J. Math. 84 (1979), 225-232.

Corrections to "Non-openness of the set of Thom-Boardman maps", Pacific J. Math. 85, no. 2 (1979), 501-502.

Splitting the spectrum of a Riemannian manifold, (with D. Bleecker) SIAM J. Math. Anal. 11 (1980), 813-818.

Jets with regular zeros, Pacific J. Math. 93 (1981), 471-478.

Infinitely determined mapgerms, Canadian J. Math. 33 (1981), 671--684.

Mapgerms infinitely determined with respect to right-left equivalence, Pacific J. Math. 102 (1982), 235-245.

Equivalence theorems in global singularity theory, (with T. Gaffney) Amer. Math. Soc. Part I, Proceedings of Symposia in Pure Mathematics, Providence, RI 40 (1983), 439-447.

Equivalence of generic mappings and $C^\infty$ normalization, (with T. Gaffney) Compositio Mathematica 49 (1983), 291-308.

On right-equivalence, (with A. du Plessis) Math. Zeit. 190 (1985), 163-205.

Right-symmetry of mappings, (with A. du Plessis) Proceedings of Symposium on Singularity Theory and its Applications, Springer--Verlag Lecture Notes 1462 (1991), 258-275.

Discriminants and liftable vector fields, (with A. du Plessis and W. Bruce) J. Algebraic Geometry 3 (1994), 725-753.

Computing limiting normals to real surfaces, (with D. O'Shea) Proceedings of the Conference on Mathematics of Computation, Vancouver, August 1993, ed. Walter Grautschi, AMS Proceedings of Symposia in Applied Math. 48 (1994), 349-353.

Tangent and normal cones to real surfaces, (with D. O'Shea) Chinese Quarterly Journal of Mathematics 10, no. 4 (1995), 953--973.

Map-germs determined by their discriminants, (with A. du Plessis and T. Gaffney) Stratifications, Singularities & Differential Equations I. Singularities of maps, and Applications to Differential Equations, D. Trotman and L. Wilson, eds., Travaux en Cours, Hermann, Paris 54 (1997), 1-40.

Stratifications, Singularities & Differential Equations, I, Singularities of maps, and Applications to Differential Equations , (coeditor with D. Trotman) Travaux en Cours, 54, Hermann, Paris (1997), 124 pages

Stratifications, Singularities & Differential Equations, II, Stratifications and Topology of Singular Spaces, (coeditor with D. Trotman) Travaux en Cours, 55, Hermann, Paris (1997), 107 pages

A criterion for finite topological determinacy of map-germs, (with H. Brodersen and G. Ishikawa) Proc. London Math. Soc. 74, no. 3 (1997), 662-700.

Generalized Hestenes' Lemma and extension of functions, (with M. Ferrarotti) Trans. Amer. Math. Soc. 350, no 5 (1998), 813-818.

Lemma di Hestenes generalizzato ed estensione di funzioni, (with M. Ferrarotti) Univ. Bologna, Sem. Geom. 1996-1997 (1998), 99-109.

Stratifications and finite determinacy, (with D. Trotman) Proceedings of the London Math. Soc. 78 (1999), 334-368.

Real algebraic varieties with prescribed tangent cones, (with M. Ferrarotti and E. Fortuna) Pacific J. Math. 194 no. 2 (2000), 315-323.

Determinacy of smooth germs with real isolated line singularities, (with B. Sun) Proc. Amer. Math. Soc. 129 (2001), 2789--2797.

Correction to "Determinacy of smooth germs with real isolated line singularities", (by H. Brodersen) unpublished

Local approximation of semialgebraic sets, (with M. Ferrarotti and E. Fortuna) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 1 (2002), 1-11.

Limits of tangent spaces to real surfaces, (with D. O'Shea) American J. Math. 126 no. 5 (2004), 951-980.

(r) does not imply (n) or (npf) for definable sets in non polynomial bounded o-minimal structures, (with D. Trotman) Advanced Studies in Pure Mathematics. 43 (2006), 247-254.

Approximation of subanalytic sets by normal cones, (with with M. Ferrarotti and E. Fortuna) Bulletin of the London Math. Soc. 30 (2007), 247-254.

Remarks on the generalized Hestenes' Lemma , (with M. Ferrarotti) Rocky Mountain Journal of Mathematics 38 no. 2 (2008), 461-469.

Equisingularity of sections, $t^r$ condition, and the integral closure of modules, (with T. Gaffney and D. Trotman) J. Algebraic Geom. 18 no. 4 (2009), 651-689.

Algebraic approximation of germs of real analytic sets, (with M. Ferrarotti and E. Fortuna) Proc. Amer. Math. Soc. 138 no. 5 (2010),1537-1548.

Local algebraic approximation of semianalytic sets, (with M. Ferrarotti and E. Fortuna) Proc. Amer. Math. Soc. 143 no. 1 (2015), 13-23.

Algebraic approximation preserving dimension , (with M. Ferrarotti and E. Fortuna) Annali di Matematica 196 (2017), 519–531.

Exceptional rays and bilipschitz geometry of real surface singularities , (with D. O'Shea) Topology and its Applications 234 (2018 ), 359-374.

Tangential Approximation of Analytic Sets , (with M. Ferrarotti and E. Fortuna) ArXiv

Jim Damon's contributions to singularity theory and its applications , (by Bill Bruce, Peter Giblin, David Mond, Stephen Pizer and Les Wilson) Handbook of Geometry and Topology of Singularities VI, Springer, to appear