Edward Bierstone
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Canadian mathematician
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Algebraic Geometry
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Measure Theory
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Mathematics
Edward Bierstone's Degrees
- PhD Mathematics University of British Columbia
- Bachelors Mathematics University of British Columbia
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(Suggest an Edit or Addition)According to Wikipedia, Edward Bierstone is a Canadian mathematician at the University of Toronto who specializes in singularity theory, analytic geometry, and differential analysis. Education and career He received his B.Sc. from the University of Toronto and his Ph.D. at Brandeis University in 1972. He was a visiting scholar at the Institute for Advanced Study in the summer of 1973. He served as the Director of the Fields Institute from 2009 to 2013.
Edward Bierstone's Published Works
Published Works
- Semianalytic and subanalytic sets (1988) (722)
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant (1995) (673)
- Resolution of Singularities (1997) (138)
- Arc-analytic functions (1990) (101)
- A simple constructive proof of Canonical Resolution of Singularities (1991) (96)
- Resolution of singularities in Denjoy-Carleman classes (2001) (95)
- Uniformization of analytic spaces (1989) (92)
- Lifting isotopies from orbit spaces (1975) (79)
- Differentiable functions defined in closed sets. A problem of Whitney (2001) (76)
- Functoriality in Resolution of Singularities (2007) (75)
- Relations among analytic functions. I (1987) (67)
- Composite differentiable functions (1982) (62)
- Higher-order tangents and Fefferman's paper on Whitney's extension problem (2006) (56)
- Desingularization algorithms I. Role of exceptional divisors (2002) (50)
- Geometric and differential properties of subanalytic sets (1991) (49)
- Extension of Whitney fields from subanalytic sets (1978) (37)
- General position of equivariant maps (1977) (37)
- A function which is arc-analytic but not continuous (1991) (35)
- The equivariant covering homotopy property for differentiable $G$-fibre bundles (1973) (33)
- Desingularization of toric and binomial varieties (2004) (32)
- Continuous linear division and extension of $\mathcal{C}^\infty$ functions (1983) (31)
- Resolution except for minimal singularities I (2011) (25)
- The structure of orbit spaces and the singularities equivariant mappings (1980) (25)
- Effective Hironaka resolution and its complexity (2011) (21)
- Resolution of singularities of pairs preserving semi-simple normal crossings (2011) (21)
- Local properties of smooth maps equivariant with respect to finite group actions (1975) (20)
- $Q$-universal desingularization (2009) (20)
- Local resolution of singularities (1990) (16)
- Resolution of singularities of the cotangent sheaf of a singular variety (2015) (14)
- Desingularization by blowings-up avoiding simple normal crossings (2012) (11)
- Generic Equivariant Maps (1977) (11)
- ${\mathcal C}^m$-norms on finite sets and ${\mathcal C}^m$ extension criteria (2007) (11)
- Geometric Auslander criterion for flatness (2009) (10)
- Differentiable functions (1980) (9)
- Uniform Linear Bound in Chevalley’s Lemma (2005) (9)
- Solutions of quasianalytic equations (2016) (8)
- Computer-Augmented Design (1966) (8)
- Equivariant Gromov theory (1974) (8)
- The Arnoldfest: Proceedings of a Conference in Honour of V. I. Arnold for his Sixtieth Birthday (1999) (7)
- The Newton diagram of an analytic morphism, and applications to differentiable functions (1983) (7)
- Global smoothing of a subanalytic set (2017) (7)
- Arc-quasianalytic functions (2014) (7)
- Local analytic invariants and splitting theorems in differential analysis (1987) (6)
- Resolution except for minimal singularities II. The case of four variables (2011) (6)
- Composite quasianalytic functions (2017) (6)
- Effective criterion for openness of an algebraic morphism (2010) (5)
- Ideals of holomorphic functions with ^{∞} boundary values on a pseudoconvex domain (1987) (5)
- GEOMETRIC AUSLANDER CRITERION FOR FLATNESS OF AN ANALYTIC MAPPING (2009) (5)
- Singularity which has no M-smoothing (1999) (5)
- Monomialization of a quasianalytic morphism. (2019) (4)
- Effective Hironaka resolution and its Complexity (with appendix on applications in positive characteristic) (2012) (4)
- Control of radii of convergence and extension of subanalytic functions (2001) (3)
- Geometric Auslander criterion for openness of an algebraic morphism (2010) (3)
- Desingularization preserving stable simple normal crossings (2013) (3)
- Flatness in analytic mappings I. On an announcement of Hironaka (1991) (3)
- Malgrange division by quasianalytic functions (2016) (2)
- Cm solutions of semialgebraic or definable equations (2020) (2)
- Erratum to "Resolution except for minimal singularities I" [Adv. Math. 231 (2012) 3022-3053] (2013) (2)
- An inductive analytic criterion for flatness (2011) (1)
- An equivariant version of Gromov's theorem (1973) (1)
- Examples concerning Whitney's Cm extension problem (2006) (1)
- Resolution of singularities of pairs preserving semi-simple normal crossings (2012) (1)
- Solutions of quasianalytic equations (2017) (0)
- IDEALS OF HOLOMORPHIC FUNCTIONS WITH C00 BOUNDARY VALUES ON A PSEUDOCONVEX DOMAIN EDWARD BIERSTONE AND PIERRE D. MILMAN (1987) (0)
- Hsiang-Pati coordinates (2015) (0)
- Partial desingularization (2022) (0)
- Sharp Estimates for Blowing Down Functions in a Denjoy–Carleman Class (2020) (0)
- Desingularization preserving stable simple normal crossings (2015) (0)
- Local analytic invariants (1988) (0)
- IN DENJOY-CARLEMAN CLASSES (2001) (0)
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