Philipp Harms

Mathematician

Philipp Harms

Bio

I am a Senior AI & ML Expert at RISE Schweiz AG since August 2023 and an Associate Professor in Mathematics at NTU Singapore since January 2022. Before, I was a Junior Professor at the University of Freiburg, a PostDoc at ETH Zürich and Harvard University, and a PhD student at the University of Vienna.

Research interests

Geometric data science. More specifically:

  • Theory: differential geometry and stochastic analysis in infinite dimensions
  • Applications: mathematical finance, shape analysis, and mathematics of deep learning

Preprints

  1. , .

    arXiv:2208.03939.
  2. , , .

    arXiv:1904.11860.

Publications

  1. , , .

    arXiv:2304.14218.
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    Journal of the European Mathematical Society (Forthcoming). arXiv:2302.01631.
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    Differential Geometry and its Applications 90 (2023), 102029. arXiv:2010.08039.
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    Biometrical Journal 64 (2022), pp. 1426-1445. arXiv:2012.00634.
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    Communications in Mathematical Physics 389, 899-931 (2022). arXiv:1810.03169.
  6. , , , .

    International Journal of Computer Vision 129 (2021), pp. 2425–2444. arXiv:2006.11652. Code available on github.com/SRNFmatch.
  7. , , .

    Mathematics and Financial Economics 15, 885-915 (2021). arXiv:2001.05906.
  8. .

    Discrete and Continuous Dynamical Systems B 26, 10 (2021), pp. 5567-5579. arXiv:1902.01471.
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    Calculus of Variations and Partial Differential Equations 59, 62 (2020). arXiv:1909.08657.
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    Zeitschrift für Finanzmarktrecht 222 (2019), pp. 517-519.
  11. , , .

    Archive for Rational Mechanics and Analysis 235 (2020), pp. 1445-1466. arXiv:1805.04401.
  12. , , .

    In: Geometric Science of Information. Springer (2019). arXiv:1903.00855.
  13. , .

    Zeitschrift für Angewandte Mathematik und Physik 70, 16 (2019) . arXiv:1710.01273.
  14. , .

    Stochastic Processes and their Applications 129, 4 (2019), pp. 1185-1228. arXiv:1510.04061.
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    Journal of the European Economic Association 17, 5 (2019), pp. 1470-1501. SSRN 2263504.
  16. , , , .

    Discrete and Continuous Dynamical Systems A 38, 3 (2018), pp. 1161-1185. arXiv:1702.04344.
  17. , , , .

    Math. Fin. 28, 3 (2018), pp. 757-799. arXiv:1502.02926.
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    Math. Oper. Res. 43, 2 (2018), pp. 399-427. arXiv:1506.07291.
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    SIAM J. Imaging Sci. 10, 1 (2017), pp. 47-73. arXiv:1603.03480. Code available on .
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    Risks 4, 3 (2016), pp. 1-31. arXiv:1512.06454.
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    1st International Workshop on Differential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories, 2015. arXiv:1507.08816.
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    5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy, 2015. arXiv:1506.08840.
  23. , .

    Differential Geometry and its Applications 39 (2015), pp. 166-183. arXiv:1403.1436.
  24. , , .

    Journal of Geometric Mechanics 4, 4 (2012), pp. 365-383. arXiv:1109.0404.
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    Annals of Global Analysis and Geometry 44, 1 (2013), pp. 5-21. arXiv:1105.0327.
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    Journal of Differential Geometry 94, 2 (2013), pp. 187-208. arXiv:1102.3347.
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    Annals of Global Analysis and Geometry 41, 4 (2012), pp. 461-472. arXiv:1102.0236.
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    Differential Geometry and its Applications 30, 1 (2012), pp. 33-41. arXiv:1102.0678.
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    Journal of Geometric Mechanics 3, 4 (2011), pp. 389-438. arXiv:1009.3616.
    Erratum. A gap in Section 6.6 was discovered and corrected by Olaf Müller in his paper "Applying the index theorem to non-smooth operators." Journal of Geometry and Physics 116 (2017): 140-145.
  30. , .

    Comptes Rendus Mathematique 350, 15-16 (2012), pp. 773-776. arXiv:1209.2878.
  31. , , .

    SIAM Journal on Imaging Sciences 5, 1 (2012), pp. 244-310. arXiv:1001.0717.

Technical reports

  1. , .

    Math in the Black Forest – Workshop on New Directions in Shape Analysis (2018). arXiv:1811.01370.
  2. , .

    Math on the Rocks – Shape Analysis Workshop in Grundsund (2015). arXiv:1511.05883.
  3. , .

    Math on the Rocks – Shape Analysis Workshop in Grundsund (2015). arXiv:1511.05889.
  4. .

    Math in the Cabin – Shape Analysis Workshop in Bad Gastein (2014). eprint:hal‑01076953.

Theses


  1. PhD thesis, University of Vienna, 2010. arXiv:1211.3515.

  2. Master thesis, Vienna University of Technology, 2008. arXiv:1211.3531.

Code

  1. , , , .
    A numerical framework for elastic surface matching, comparison, and interpolation. .
  2. , , , .
    Tools for Riemannian shape analysis with second order Sobolev metrics. .

Contact and Impressum

scholar.google.com/citations?user=Jv5PE9MAAAAJ
dr.ntu.edu.sg/cris/rp/rp01683

philipp.harms@rise-world.com
RISE Schweiz AG,
Hofmatt 2, 3053 Münchenbuchsee, Switzerland

philipp.harms@ntu.edu.sg
Nanyang Technological University Singapore,
21 Nanyang Link #05-41, Singapore 637371

Last updated in March 2024 by Philipp Harms.