Phone:		(718) 260-3095
Fax:		(718) 260-3660
Email:		mludwig at poly dot edu
Address:		Department of Mathematics
		Polytechnic Institute of NYU
		6 Metrotech Center
		Brooklyn, NY 11201
Room:		RH 321F

Short Curriculum Vitae

• 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 (on leave), Polytechnic Institute of New York University
• since 2010: Professor of Mathematics, Vienna University of Technology

Editorial Boards

• since 2007: Advances in Applied Mathematics
• since 2008: Journal of Combinatorics and Number Theory

Conferences

• 9/2010: Workshop on Asymptotic Geometric Analysis and Convexity at the Fields Institute, Toronto.
  
• 11/2009: Convex Geometry and its Application in Oberwolfach
  
• 7/2009: Conference on Convex and Discrete Geometry in Vienna
• 6/2009: The state of geometry and functional analysis in Tel Aviv
  
• 1/2009: Affine Convex Geometric Analysis in Banff
• 10/2008: Special Session on Convex and Integral Geometry in Middletown, CT
  
• 7/2005: Convex Geometry and High Dimensional Phenomena in Vienna
  

Recent Talks 

• Additive functions on convex bodies
  Invited address at the meeting of the Austrian and German Mathematical Societies, Graz, 2009
• SL(n) invariant notions of surface area
  Invited address at the AMS Sectional Meeting, Wesleyan University, 2008  

Projects

• 2008 - 2011: NSF Project Affine geometric analysis
• 2005 - 2007: FWF Project Valuations on convex bodies
  
• 2005 - 2007: Scientist in charge of the Austrian node of Phenomena in High Dimensions
  
• 2003 - 2007: FWF Project Affinely associated bodies

PhD Students

• 2009 - 2010: Andy Tsang
  Thesis: "Valuations on L_p-Spaces"
• 2005 - 2007: Christoph Haberl
  Thesis: "Valuations and the Dual L_p Brunn-Minkowski Theory"
• 2003 - 2005: Franz Schuster
  Thesis: "Convolutions and Multiplier Transformations of Convex Bodies"

Preprints

• Valuations on Sobolev spaces
  Submitted
• Fisher information and matrix-valued valuations
  Submitted

Publications

• Minkowski areas and valuations
  JOURNAL OF DIFFERENTIAL GEOMETRY, in press.
• Sharp convex Lorentz-Sobolev inequalities
  MATHEMATISCHE ANNALEN, in press.
  Jointly with Jie Xiao and Gaoyong Zhang.
• A classification of SL(n) invariant valuations
  ANNALS OF MATHEMATICS, in press.
  Jointly with Matthias Reitzner.
• General affine surface areas
  ADVANCES IN MATHEMATICS, in press.
• 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 Karoly 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).