Monika Ludwig

• 1990: Master degree (Dipl.-Ing.), Vienna University of Technology
• 1990 - 1994: Vertragsassistentin, Vienna University of Technology
• 1994: Doctor of Technical Sciences sub auspiciis praesidentis, Vienna University of Technology
• 1994 - 2000: Assistant Professor, Vienna University of Technology
• 1998: Hlawka-Prize of the Austrian Academy of Sciences
• 1999 - 2000: Visiting Scholar, University College London
• 2000: Habilitation, Vienna University of Technology
• 2000 - 2001: Visiting Scholar, Polytechnic University New York
• 2000 - 2007: Associate Professor, Vienna University of Technology
• 2002: Visiting Professor, University of Bern
• 2004: Förderungspreis of the Austrian Mathematical Society
• since 2007: Professor of Mathematics, Polytechnic Institute of New York University
• since 2011: Corresponding Member of the Austrian Academy of Sciences

• Valuations on Sobolev spaces
  AMERICAN JOURNAL OF MATHEMATICS 134, 824 - 842 (2012).
• Fisher information and matrix-valued valuations
  ADVANCES IN MATHEMATICS 226, 2700 - 2711 (2011).
• Sharp convex Lorentz-Sobolev inequalities
  MATHEMATISCHE ANNALEN 350, 169 - 197 (2011).
  Jointly with Jie Xiao and Gaoyong Zhang.
• Valuations on function spaces
  ADVANCES IN GEOMETRY 11, 745 - 756 (2011).
• A classification of SL(n) invariant valuations
  ANNALS OF MATHEMATICS 172, 1219 - 1271 (2010).
  Jointly with Matthias Reitzner.
• Minkowski areas and valuations
  JOURNAL OF DIFFERENTIAL GEOMETRY 86, 133 - 161 (2010).
• General affine surface areas
  ADVANCES IN MATHEMATICS 224, 2346 – 2360 (2010).
• Intersection bodies and valuations
  AMERICAN JOURNAL OF MATHEMATICS 128, 1409 - 1428 (2006).
• A characterization of Lp intersection bodies
  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Art ID 10548, 1 - 29 (2006).
  Jointly with Christoph Haberl.
• Elementary moves on triangulations
  DISCRETE & COMPUTATIONAL GEOMETRY 35, 527 - 536 (2006).
  Jointly with Matthias Reitzner.
• Valuations in the affine geometry of convex bodies
  PROCEEDINGS OF THE CONFERENCE ''INTEGRAL GEOMETRY AND CONVEXITY'',
  Wuhan 2004, World Scientific, Singapore, 49 - 65 (2006).
• Approximation of the Euclidean ball by polytopes
  STUDIA MATHEMATICA 173, 1 - 18 (2006).
  Jointly with Carsten Schütt and Elisabeth Werner.
• Minkowski valuations
  TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 357, 4191 - 4213 (2005).
• Ellipsoids and matrix valued valuations
  DUKE MATHEMATICAL JOURNAL 119, 159 - 188 (2003).
• Projection bodies and valuations
  ADVANCES IN MATHEMATICS 172, 158 - 168 (2002).
• Moment vectors of polytopes
  RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO (2) Suppl. 70, part II, 123 - 138 (2002).
• Valuations on polytopes containing the origin in their interiors
  ADVANCES IN MATHEMATICS 170, 239 - 256 (2002).
• On the semicontinuity of curvature integrals
  MATHEMATISCHE NACHRICHTEN 227, 99 - 108 (2001).
• Upper semicontinuous valuations on the space of convex discs
  GEOMETRIAE DEDICATA 80, 263 - 279 (2000).
• A characterization of affine surface area
  ADVANCES IN MATHEMATICS 147, 138 - 172 (1999).
  Jointly with Matthias Reitzner.
• A characterization of affine length and asymptotic approximation of convex discs
  ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITÄT HAMBURG 69,
  75 - 88 (1999).
• Asymptotic approximation of smooth convex bodies by general polytopes
  MATHEMATIKA 46, 103 - 125 (1999).
• Approximation of convex bodies and a momentum lemma for power diagrams
  MONATSHEFTE DER MATHEMATIK 127, 101 - 110 (1999).
  Jointly with Károly Böröczky, jr.
• Asymptotic approximation by quadratic spline curves
  ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS. SECTIO MATHEMATICA 42,
  133 - 139 (1999).
• Asymptotic approximation of convex curves; the Hausdorff metric case
  ARCHIV DER MATHEMATIK 70, 331 - 336 (1998).
• A Helmholtz-Lie type characterization of ellipsoids, II
  DISCRETE & COMPUTATIONAL GEOMETRY 16, 55 - 67 (1996).
  Jointly with Peter M. Gruber.
• Asymptotic approximation of convex curves
  ARCHIV DER MATHEMATIK 63, 377 - 384 (1994).

Convex geometry and its applications. Abstracts from the workshop held November 29–December 5, 2009. Organized by Keith Ball, Martin Henk and Monika Ludwig. Oberwolfach Reports. Vol. 6, no. 4. Oberwolfach Rep. 6 (2009), no. 4, 2851–2926