Short CV/Education and training

  • Since 2010
    University professor, Technical University Wien, Austria

  • 2017
    Research professor, MSRI, Berkeley

  • 2007 – 2010
    Professor of mathematics, Polytechnic Institute, New York University

  • 2002
    Visiting professor, University of Bern, Switzerland

  • 2000 – 2007
    Assistant professor, Technical University Wien

  • 2000 – 2001
    Visiting scholar, Polytechnic Institute, New York University

  • 1999 – 2000
    Visiting scholar, University College London

  • 1994 – 2000
    University assistant, Technical University Wien

  • 1994
    Doctorate sub auspiciis praesidentis, Technical University Wien

Selected publications

  • Károly J. Böröczky & Monika Ludwig. Minkowski valuations on lattice polytopes, in: Journal of the European Mathematical Society (JEMS) 21, 163-197 (2019).

  • Andrea Colesanti, Monika Ludwig & Fabian Mussnig. Minkowski valuations on convex functions, in: Calculus of Variations and Parial Differential Equations 56, Art. 162 (2017).

  • Ludwig, Monika. Anisotropic fractional perimeters, in: Journal of Differential Geometry 96, 77 – 93 (2014).

  • Ludwig, Monika. Anisotropic fractional Sobolev norms, in: Advances in Mathematics 252, 150 – 157 (2014).

  • Ludwig, Monika. Valuations on Sobolev spaces, in: American Journal of Mathematics 134, 824 – 842 (2012).

  • Ludwig, Monika & Matthias Reitzner. A classification of SL(n) invariant valuations, in: Annals of Mathematics 172, 1223-1271 (2010).

  • Ludwig, Monika. Minkowski areas and valuations, in: Journal of Differential Geometry 86, 133-161 (2010).

  • Ludwig, Monika. Intersection bodies and valuations, in: American Journal of Mathematics 128, 1409-1428 (2006).

  • Ludwig, Monika. Ellipsoids and matrix valued valuations, in: Duke Mathematical Journal 119, 159-188 (2003).

  • Ludwig, Monika. Projection bodies and valuations, in: Advances in Mathematics 172, 158-168 (2002).



Complete list of publications

Selected projects

  • Austrian Science Fund (FWF project): Valuations on convex functions, 2021 – 2025

  • Austrian Science Fund (FWF project): Valuations on lattice polytopes, 2016 – 2019

  • Austrian Science Fund (FWF project): Valuations on function spaces, 2013 – 2018

  • National Science Foundation (NSF) project: Affine geometric analysis, 2008 – 2011

  • Austrian Science Fund (FWF) project: Valuations on convex bodies, 2005 – 2007

  • Scientist in charge of the Austrian node of Phenomena in High Dimensions, 2005 – 2007

  • FWF project: Affinely associated bodies, 2003 – 2007

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