Georg C. Hofstätter

• Home
• Research
• CV
• Teaching
• Contact

Publications and Preprints

1. Counting Lattice Points in Translations: Uniqueness and Existence Results [arXiv:2610.26523]
   preprint (2026).
   jointly with A. Freyer
    
2. Localization of valuations and Alesker's irreducibility theorem [arXiv:2510.25698]
   to appear in J. Reine Angew. Math. (2026+).
   jointly with J. Knoerr
    
3. The Christoffel problem for the disk area measure [arXiv:2508.09800]
   submitted (2026).
   jointly with L. Brauner and O. Ortega-Moreno
    
4. Mixed Christoffel-Minkowski problems for bodies of revolution [arXiv:2508.09794]
   submitted (2025).
   jointly with L. Brauner and O. Ortega-Moreno
    
5. Affine Quermassintegrals and Even Minkowski Valuations [arXiv:2410.23720]
   Adv. Math. 473 (2025), Paper No. 110285, doi.
   jointly with P. Kniefacz and F.E. Schuster
    
6. The Klain approach to zonal valuations [arXiv:2410.18651]
   J. Funct. Anal. 290 (2026), no. 3, Paper No. 111249, doi.
   jointly with L. Brauner and O. Ortega-Moreno
    
7. Equivariant Valuations on Convex Functions [arXiv:2407.08304]
   Calc. Var. PDE 64 (2025), no. 8, Paper No. 242, doi.
   jointly with J. Knoerr
    
8. Busemann-Petty type problems on complex vector spaces [arXiv:2404.05630]
   Indiana Univ. Math. J. 75 (2026), no. 2, 525-551, doi, link.
   jointly with S. Ellmeyer
    
9. Lefschetz operators on convex valuations [arXiv:2402.14731]
   Int. Math. Res. Not. IMRN 2026, no. 4, Paper No. rnag031, doi.
   jointly with L. Brauner and O. Ortega-Moreno
    
10. Convex valuations from Whitney to Nash [arXiv:2306.07390]
    Duke Math. J., 174 (14), 3063-3133, 2025, doi.
    jointly with D. Faifman
     
11. Complex L_p-Intersection Bodies [arXiv:2304.00794]
    Adv. Math. 431 (2023), Paper No. 109247, doi.
    jointly with S. Ellmeyer
     
12. Equivariant Endomorphisms of Convex Functions [arXiv:2207.09758]
    J. Funct. Anal. 285 (2023), no. 1, Paper No. 109922, doi.
    jointly with J. Knoerr
     
13. Blaschke-Santaló Inequalities for Minkowski and Asplund Endomorphisms [arXiv:2101.07031]
    Int. Math. Res. Not. IMRN 2023, no. 2, doi.
    jointly with F.E. Schuster
     

Conference Organization

• Mini-Workshop: Modern Valuation Theory 2023, FSU Jena, July 19–21, 2023
  jointly with J. Kotrbatý

Talks

• Towards Alesker's Irreducibility Theorem: Localization and Irreducibility
  Research Seminar, TU Wien, Vienna, 12/2025.
• Localizations of Valuations and Alesker's irreducibility theorem
  Geometric Analysis Seminar, Goethe University Frankfurt, Frankfurt, 11/2025.
• Localizations of Valuations and Alesker's irreducibility theorem
  Discrete Geometry and Topological Combinatorics, Freie Universität Berlin, Berlin, 10/2025.
• Mixed volumes and mixed area measures of bodies of revolution
  2025 Szeged Workshop on Convexity, Bolyai Institute, University of Szeged, Szeged, 05/2025.
• Working Seminar on the log-Brunn-Minkowski Conjecture, Podebrady, 02/2025.
• The Klain approach to zonal valuations
  Geometry Seminar, Friedrich Schiller University Jena, 01/2025.
• Convex valuations from Whitney to Nash
  Convex Geometry in Florence 2024, Florence, 06/2024, plenary talk.
• Equivariant Valuations of Convex Functions
  INdAM Meeting: Convex geometry -- analytic aspects, Cortona, 06/2023.
• Equivariant Valuations of Convex Functions
  Geometric Valuation Theory, Castro Urdiales, 06/2023.
• Complex Lp Intersection Bodies
  Asymptotic Geometric Analysis Seminar, Tel Aviv University, Tel Aviv, 03/2023.
• Restrictions of Valuations
  Geometric Analysis Seminar, Goethe University Frankfurt, Frankfurt, 01/2023.
• Pushforwards of Intrinsic Volumes
  Workshop on Integral and Metric Geometry (22w5181), BIRS-CMO, 05/2022.
• Equivariant Endomorphisms of Convex Functions
  Mini-Symposium on Geometric Probability and Valuation Theory, Vienna University of Technology, Vienna, 04/2022.
• GL(n)-Equivariant Endomorphisms of Convex Functions
  Asymptotic Geometric Analysis Seminar, Tel Aviv University, Tel Aviv, 03/2022.
• Asplund Endomorphisms
  DMV-ÖMG-Jahrestagung 2021, University of Passau, 09/2021.
• Asplund Endomorphisms and the Blaschke-Santaló inequality
  Conference on Convex, Integral and Stochastic Geometry 2021, Karlsruhe Institute of Technology, Bad Herrenalb, 09/2021.
• Asplund Endomorphisms and the Blaschke-Santaló inequality
  Current Trends in Convex Geometry 2021, University of Bremen, University of Murcia, 03/2021.
• Blaschke-Santaló inequalities for Minkowski Endomorphisms
  Asymptotic Geometric Analysis IV, Euler International Mathematical Institute, Saint-Petersburg, 07/2019.
• Blaschke-Santaló inequalities for Minkowski Endomorphisms
  2019 Szeged Workshop on Convexity, Bolyai Institute, University of Szeged, Szeged, 04/2019.