Nicole Tomczak-Jaegermann | Academic Influence

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Nicole Tomczak-Jaegermann

Mathematics

#1756

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#2816

Historical Rank

Measure Theory

#2905

World Rank

#3453

Historical Rank

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Mathematics

Nicole Tomczak-Jaegermann's Degrees

PhD Mathematics University of Warsaw
Masters Mathematics University of Warsaw
Bachelors Mathematics University of Warsaw

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Why Is Nicole Tomczak-Jaegermann Influential?

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According to Wikipedia, Nicole Tomczak-Jaegermann FRSC was a Polish-Canadian mathematician, a professor of mathematics at the University of Alberta, and the holder of the Canada Research Chair in Geometric Analysis. Contributions Her research is in geometric functional analysis, and is unusual in combining asymptotic analysis with the theory of Banach spaces and infinite-dimensional convex bodies. It formed a key component of Fields medalist Timothy Gowers' solution to Stefan Banach's homogeneous space problem, posed in 1932. Her 1989 monograph on Banach–Mazur distances is also highly cited.

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Nicole Tomczak-Jaegermann's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Banach-Mazur distances and finite-dimensional operator ideals (1989) (647)
Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles (2006) (331)
Smallest singular value of random matrices and geometry of random polytopes (2005) (266)
Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis (2007) (234)
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles (2009) (194)
The moduli of smoothness and convexity and the Rademacher averages of the trace classes $S_{p}$ (1≤p<∞) (1974) (170)
Subspaces of small codimension of finite-dimensional Banach spaces (1986) (163)
Restricted Isometry Property of Matrices with Independent Columns and Neighborly Polytopes by Random Sampling (2009) (135)
Projections onto Hilbertian subspaces of Banach spaces (1979) (124)
The complex convexity of quasi-normed linear spaces (1984) (113)
On nearly euclidean decomposition for some classes of Banach spaces (1980) (92)
Asymptotic Infinite-Dimensional Theory of Banach Spaces (1994) (90)
On the duality problem for entropy numbers of operators (1989) (69)
Banach spaces without local unconditional structure (1993) (68)
Sharp bounds on the rate of convergence of the empirical covariance matrix (2010) (67)
Norms of Minimal Projections (1992) (66)
Computing 2-summing norm with few vectors (1979) (56)
Projection constants of symmetric spaces and variants of Khintchine's inequality (1999) (55)
On the eigenvalues of (p, 2)-summing operators and constants associated with normed spaces (1980) (46)
Adjacency matrices of random digraphs: singularity and anti-concentration (2015) (45)
On the Structure of the Spreading Models of a Banach Space (2003) (44)
Asymptotic $l_p$ spaces and bounded distortions (1992) (41)
Chapter 28 - Quotients of Finite-Dimensional Banach Spaces; Random Phenomena (2003) (39)
The distance between certainn-dimensional Banach spaces (1981) (38)
Bounds for projection constants and 1-summing norms (1990) (37)
Volume Ratio and Other s-Numbers of Operators Related to Local Properties of Banach Spaces (1989) (33)
On norm closed ideals in L(lp,lq) (2007) (33)
Subspaces and Orthogonal Decompositions Generated by Bounded Orthogonal Systems (2007) (33)
Majorizing measures and proportional subsets of bounded orthonormal systems (2008) (32)
Reconstruction and subgaussian operators (2005) (32)
A Short Proof of Paouris' Inequality (2012) (30)
Random aspects of high-dimensional convex bodies (2000) (27)
Banach spaces of typep have arbitrarily distortable subspaces (1996) (27)
Smallest singular value of random matrices with independent columns (2008) (26)
Proximity to ℓ1and Distortion in Asymptotic L1Spaces (1997) (26)
Euclidean embeddings in spaces of finite volume ratio via random matrices (2005) (24)
Geometry of families of random projections of symmetric convex bodies (2001) (23)
Banach-Mazur Distances and Projections on Random Subgaussian Polytopes (2007) (22)
On the interval of fluctuation of the singular values of random matrices (2015) (22)
The smallest singular value of a shifted d-regular random square matrix (2017) (22)
The cotype and uniform convexity of unitary ideals (1983) (20)
Banach lattices with property (H) and weak Hilbert spaces (1992) (19)
Tail estimates for norms of sums of log‐concave random vectors (2011) (19)
Moment estimates for convex measures (2012) (18)
Circular law for sparse random regular digraphs (2018) (18)
Random Euclidean embeddings in spaces of bounded volume ratio (2004) (18)
Diameters of sections and coverings of convex bodies (2006) (18)
A pr 1 99 7 Proximity to l 1 and Distortion in Asymptotic l 1 Spaces (1997) (17)
Erratum to: “Banach spaces without local unconditional structure” (1996) (17)
Structure of eigenvectors of random regular digraphs (2018) (17)
Orlicz spaces with convexity or concavity constant one (2006) (17)
Geometry of log-concave Ensembles of random matrices and approximate reconstruction (2011) (17)
A subgaussian embedding theorem (2008) (16)
Condition number of a square matrix with i.i.d. columns drawn from a convex body (2012) (16)
On Convexified Packing and Entropy Duality (2004) (15)
ON NORM CLOSED IDEALS IN L(ℓp ⊕ ℓq). (2005) (15)
A solution of the finite-dimensional homogeneous Banach space problem (1991) (14)
Uniform convexity of unitary ideals (1984) (14)
On the geometry of projective tensor products (2016) (14)
Balancing Vectors in Any Norm (2018) (13)
The Weak Distance between Finite-Dimensional Banach Spaces (1984) (13)
Reconstruction and subgaussian processes (2005) (13)
Hilbertian and complemented finite-dimensional subspaces of Banach lattices and unitary ideals (1980) (13)
Schauder Bases in Quotients of Subspaces of l 2 (X) (1994) (13)
Restricted isometry property for random matrices with heavy-tailed columns (2014) (12)
The rank of random regular digraphs of constant degree (2018) (12)
Chevet type inequality and norms of submatrices (2011) (11)
The Banach-Mazur distance between symmetric spaces (1983) (11)
On certain equivalent norms on Tsirelson's space (1998) (11)
On approximation by projections of polytopes with few facets (2012) (11)
Random ε-nets and embeddings in $ℓ^{N}_{∞}$ (2007) (10)
Analysis at Urbana: Some Banach space properties of translation invariant subspaces of Lp (1989) (10)
Randomized isomorphic Dvoretzky theorem (2002) (9)
Anti-concentration property for random digraphs and invertibility of their adjacency matrices (2016) (9)
Saturating constructions for normed spaces (2004) (8)
The Banach-Mazur distance between the trace classes ⁿ_{} (1978) (8)
Finite-dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace classes $S_{p}$ (1980) (7)
Subspaces of ℓ₂(X) and Rad(X) without local unconditional structure (2002) (7)
On the length of faithful nuclear representations of finite rank operators (1988) (6)
An example of a convex body without symmetric projections (2001) (6)
Gelfand Numbers and Euclidean Sections of Large Dimensions (1990) (6)
Geometric inequalities for a class of exponential measures (2004) (5)
Subspaces oflpN of small codimension (1992) (5)
On the nontrivial projection problem (2008) (5)
On the Euclidean Metric Entropy of Convex Bodies (2007) (5)
RUC-systems and Besselian systems in Banach spaces (1989) (5)
Asymptotic geometric analysis : proceedings of the fall 2010 Fields Institute thematic program (2013) (4)
Spaces with maximal projection constants (2003) (4)
Embedding subspaces of ⁿ_{∞} into spaces with Schauder basis (1993) (4)
On the Isotropic Constant of Random Polytopes (2016) (4)
Small Ball Probability for the Condition Number of Random Matrices (2019) (4)
Essentially-Euclidean convex bodies (2010) (4)
Volumetric invariants and operators on random families of Banach spaces (2003) (4)
Structural Properties of Weak Cotype 2 Spaces (1995) (4)
Saturating constructions for normed spaces II (2004) (3)
The Banach-Mazur Distance between the Traces Classes c n p (1978) (3)
Stabilized asymptotic structures and envelopes in banach spaces (2000) (3)
When random proportional subspaces are also random quotients (2004) (3)
Projections of Minimal Norm (1997) (3)
The Distance between a Symmetric Space and a 2‐Convex or 2‐Concave Space (1981) (2)
Entropy extension (2006) (2)
Pathological properties and dichotomies for random quotients of finite-dimensional Banach spaces (1991) (2)
Decoupling Weakly Dependent Events (2007) (2)
Sudakov type inequalities for convex bodies in IR n (1987) (2)
Isomorphic Random Subspaces and Quotients of Convex and Quasi-Convex Bodies (2004) (2)
Finite Representability of ℓp in Quotients of Banach Spaces (2001) (2)
Projecting l∞ onto Classical Spaces (2009) (2)
Dimensional gradations and cogradations of operator ideals. The weak distance between Banach-spaces (1981) (2)
On the differentiability of the norm in trace classes $S_p$ (1975) (2)
Proximity to $\ell_1$ and Distortion in Asymptotic $\ell_1$ Spaces (1997) (2)
Problems on Banach spaces (1981) (2)
Rotating the unit ball of ℓn1 (1998) (1)
Low dimensional sections versus projections of convex bodies (2006) (1)
Entropy Numbers and Duality for Operators with Values in a Hilbert Space (1990) (1)
Stability Properties of Neighbourly Random Polytopes (2009) (1)
Structure of Normed Spaces with Extremal Distance to the Euclidean Space (2005) (1)
Distortions on Schatten Classes Cp (1995) (1)
On norm closed ideals in L(\ell_p\oplus\ell_q) (2005) (1)
On the Isotropic Constant of Random Polytopes (2015) (0)
The diameter of Minkowski compactum, random projections of convex bodies (2013) (0)
Polylog Dimensional Subspaces of $$\ell _\infty ^N$$ (2018) (0)
The smallest singular value of a shifted d-regular random square matrix (2018) (0)
PR ] 8 S ep 2 01 5 ON THE CONVERGENCE OF THE EXTREMAL EIGENVALUES OF EMPIRICAL COVARIANCE MATRICES WITH DEPENDENCE (2018) (0)
Aleksander (Olek) Pelczynski (1932–2012) (2017) (0)
Geometry determined by random matrices associated to high-dimensional convex bodies (2012) (0)
Chevet type inequality and norms of sub-matrices Rados (2011) (0)
62 39 v 1 1 3 Ju n 20 05 Reconstruction and subgaussian operators (2005) (0)
On approximation by projections of polytopes with few facets (2014) (0)
ON SIMPLE SPACES (2005) (0)
N ov 1 99 2 Norms of Minimal Projections (2008) (0)
Essentially-Euclidean convex bodies 1 (2010) (0)
From finite- to infinite-dimensional phenomena in geometric functional analysis on local and asymptotic levels. (1998) (0)
Maximal $ ℓ p n $$\ell_p^n$-Structures in Spaces with Extremal Parameters (2003) (0)
Ju l 2 00 4 On convexified packing and entropy duality (2004) (0)

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