Monika Ludwig

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Monika Ludwig (* 1966 in Cologne ) is an Austrian mathematician and professor at the Institute for Discrete Mathematics and Geometry at the Technical University of Vienna . Her research focus is on convex geometry and geometric analysis.

Life

Monika Ludwig, born in 1966 in Cologne , Germany , obtained the academic degree Dipl.-Ing. at the Technical University of Vienna and received his doctorate in 1994 under the direction of Peter M. Gruber with the dissertation Asymptotic Approximation of Convex Bodies . During this time she worked as a contract assistant. From 1994 to 2000 she stayed at the Technical University of Vienna as an assistant and associate professor. From 1999 to 2000 she was visiting professor at University College London . Ludwig subsequently worked at the New York University Tandon School of Engineering (Polytechnic Institute of New York University) with Erwin Lutwak on an Erwin Schrödinger scholarship from the FWF . In 2002 she was visiting professor at the University of Bern . In 2007 she moved to New York University Tandon School of Engineering. In 2010 she returned to the Vienna University of Technology as a full professor. From 2013 to 2015 she was head of department at the Institute for Discrete Mathematics and Geometry.

research

Her mathematical research focus is on convex geometry and geometric analysis .

Completed and current research projects funded by the Fund for the Promotion of Scientific Research (FWF) are:

  • 2016–2021: Evaluation of lattice polytopes (with Károly J. Böröczky )
  • 2013–2017: assessments on function spaces
  • 2012–2014: Linearly interwoven images on convex bodies (with Christoph Haberl )

With Keith M. Ball and Martin Henk , she organized the meetings on convex geometry and its applications at the Mathematisches Forschungsinstitut Oberwolfach from 2009 . She has been on the editorial board of Advances in Applied Mathematics since 2007 .

Awards and memberships

From 2011 she was a corresponding and from 2013 a full member of the Austrian Academy of Sciences .

Publications (selection)

  • M. Ludwig, Matthias Reitzner: A characterization of affine surface area , Advances in Mathematics , Volume 147, 1999, pp. 138-172
  • M. Ludwig: Projection bodies and valuations , Advances in Mathematics, Volume 172, 2002, pp. 158-168
  • M. Ludwig: Ellipsoids and matrix valued valuations , Duke Mathematical Journal , Vol. 119, 2003, pp. 159-183.
  • M. Ludwig: Minkowski valuations , Transactions of the American Mathematical Society , Vol. 357, 2005, pp. 4191-4213.
  • M. Ludwig: Intersection bodies and valuations , American Journal of Mathematics , Volume 128, 2006, pp. 1409-1428
  • M. Ludwig, M. Reitzner: A classification of SL (n) invariant valuations , Annals of Mathematics , Vol. 172, 2010, pp. 1223-1267, abstract
  • M. Ludwig: Minkowski areas and valuations , Journal of Differential Geometry , Volume 86, 2010, pp. 133-162
  • M. Ludwig: General affine surface areas , Advances in Mathematics, Volume 224, 2010, pp. 2346-2360, Arxiv
  • M. Ludwig, Karoly Boroczky: Minkowski valuations on lattice polytopes , Journal of the European Mathematical Society, Volume 21, 2019, pp. 163–197, Arxiv
  • M. Ludwig, Andrea Colesanti, Fabian Mussnig: Valuations on Convex Functions , Int. Math. Res. Not. 2019, No. 8, pp. 2384-2410, Arxiv

In January 2020, Ludwig had an h-index of 21 and was cited 2144 times (Google Scholar).

Web links

Individual evidence

  1. ↑ a b c Monika Ludwig. TU Vienna, accessed on January 6, 2020 .
  2. ↑ Interview with Monika Ludwig. TU Vienna, February 2, 2012, accessed on January 6, 2020 .
  3. ^ Monika Ludwig - The Mathematics Genealogy Project. Retrieved January 6, 2020 .
  4. ^ Valuations on lattice polytopes
  5. ^ Valuations on functions spaces
  6. ↑ Linearly intertwining maps on convex bodies
  7. ↑ Google Scholar entry by Monika Ludwig , accessed on January 18, 2020
personal data
SURNAME Ludwig, Monika
BRIEF DESCRIPTION Austrian mathematician
DATE OF BIRTH 1966
PLACE OF BIRTH Cologne