Monika Ludwig | Academic Influence

Monika Ludwig's AcademicInfluence.com Rankings

Monika Ludwig

Mathematics

#4770

World Rank

#6760

Historical Rank

Number Theory

#253

World Rank

#322

Historical Rank

Group Theory

#342

World Rank

#396

Historical Rank

Algebra

#636

World Rank

#839

Historical Rank

mathematics Degrees

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Mathematics

Monika Ludwig's Degrees

PhD Mathematics University of Vienna
Masters Mathematics University of Vienna
Bachelors Mathematics University of Vienna

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Why Is Monika Ludwig Influential?

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According to Wikipedia, Monika Ludwig is an Austrian mathematician, University Professor of Convex and Discrete Geometry at the Vienna University of Technology. Academic career Ludwig earned a Dipl.-Ing. degree from the Vienna University of Technology in 1990, and a doctorate in 1994 under the supervision of Peter M. Gruber. She remained at the same university as an assistant and associate professor from 1994 until 2007, when she moved to the Polytechnic Institute of New York University. She returned to the Vienna University of Technology as a full professor in 2010.

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Monika Ludwig'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

Ellipsoids and matrix-valued valuations (2003) (200)
General affine surface areas (2009) (192)
Intersection bodies and valuations (2006) (183)
Projection bodies and valuations (2002) (170)
A characterization of Lp intersection bodies (2006) (162)
A Characterization of Affine Surface Area (1999) (158)
Minkowski Areas and Valuations (2010) (129)
A classification of $\operatorname{SL}(n)$ invariant valuations (2010) (109)
Sharp convex Lorentz–Sobolev inequalities (2011) (82)
Valuations on Sobolev spaces (2012) (78)
Valuations on Polytopes Containing the Origin in Their Interiors (2002) (61)
Fisher information and matrix-valued valuations (2011) (60)
Asymptotic approximation of smooth convex bodies by general polytopes (1999) (59)
Approximation of the Euclidean ball by polytopes (2006) (56)
Anisotropic fractional perimeters (2013) (52)
Minkowski valuations on convex functions (2017) (42)
Covariance matrices and valuations (2013) (40)
Valuations on Convex Functions (2017) (40)
Anisotropic fractional Sobolev norms (2013) (38)
Valuations on function spaces (2011) (36)
Minkowski valuations on lattice polytopes (2016) (29)
Approximation of Convex Bodies and a Momentum Lemma for Power Diagrams (1999) (27)
A homogeneous decomposition theorem for valuations on convex functions (2019) (25)
A Characterization of L p Intersection Bodies (2006) (24)
Hessian valuations (2017) (24)
Asymptotic approximation of convex curves (1994) (24)
MOMENT VECTORS OF POLYTOPES (2002) (22)
A characterization of affine length and asymptotic approximation of convex discs (1999) (22)
VALUATIONS IN THE AFFINE GEOMETRY OF CONVEX BODIES (2006) (21)
Institute of Discrete Mathematics and Geometry (2015) (21)
Weighted floating bodies and polytopal approximation (2016) (20)
SL(n) Invariant Valuations on Polytopes (2015) (19)
The Hadwiger theorem on convex functions. I (2020) (19)
Tensor valuations on lattice polytopes (2017) (16)
Elementary Moves on Triangulations (2005) (15)
On the Semicontinuity of Curvature Integrals (2001) (12)
Asymptotic approximation of convex curves; the Hausdorff metric case (1998) (11)
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures (2021) (9)
A Helmholtz-Lie type characterization of ellipsoids, II (1996) (8)
Asymptotic Approximation by Quadratic Spline Curves (2002) (7)
The Hadwiger theorem on convex functions, IV: The Klain approach (2022) (6)
Upper Semicontinuous Valuations on the Space of Convex Discs (2000) (6)
Valuations on Lattice Polytopes (2017) (6)
Affine Fractional Sobolev and Isoperimetric Inequalities (2022) (5)
Geometric valuation theory (2021) (1)
Affine fractional $$L^p$$ Sobolev inequalities (2022) (1)
Affine Geometric Analysis (2015) (0)
The Hadwiger theorem on convex functions. II (2021) (0)
Valuations on Convex Bodies and Functions (2023) (0)
Research Group for Convex and Discrete Geometry (2015) (0)
The 3D geometry modelling system (GEMO) (1990) (0)
Chapter 7 Valuations on Lattice Polytopes (2016) (0)
Minkowski valuations on convex functions (2017) (0)
Convex Geometry and its Applications (2019) (0)
SL(n) Invariant Valuations on Polytopes (2016) (0)
Affine Hardy--Littlewood--Sobolev inequalities (2022) (0)
A second fundamental result on lattice polytopes is the reciprocity theorem of Ehrhart (2017) (0)
Typical Faces of Best Approximating Three-Polytopes Dedicated to Rolf Schneider on his 65 th birthday (2007) (0)
Workshop on Affine Convex Geometric Analysis (2009) (0)

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