Philipp Harms

Mathematician

Philipp Harms

Bio

I will be appointed as an Associate Professor in mathematics at NTU Singapore in January 2022. Before my ongoing parental leave, 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: mathematics of deep learning, shape analysis, and mathematical finance

Open PhD and PostDoc positions

Expressions of interest are invited for 3 doctoral and 3 postdoctoral positions in Geometry, Probability, and Deep Learning at the Department of Mathematics, Nanyang Technological University (NTU) Singapore.

  • The ideal candidates will have an excellent research background in at least one of these fields, including particularly in infinite-dimensional Riemannian or metric geometry, infinite-dimensional probability or stochastic analysis, statistical learning theory, coding theory, inverse problems, or harmonic analysis.
  • The positions are part of the project "Geometry, Probability, and Deep Learning" funded by Singapore's National Research Foundation.
  • The goal of this project is to use geometric and probabilistic methods for analyzing the effectiveness of deep learning, to use deep learning methods for improving algorithms in probability and geometry, to advance the mathematical foundations of these methods, and to develop applications in e.g. mathematical finance or biomedical shape analysis.
  • The postdoctoral positions are for 2 years with optional prolongation to 3 years, and the doctoral positions for 2-5 years. All positions come with an attractive salary package. The expected starting date is mid 2022.

If you are interested, please send your CV, list of publications, and research statement (1-2 pages) to contact@philippharms.com as soon as possible. The search will continue until the positions are filled.

Preprints

  1. , , , .

    arXiv:2012.00634.
  2. , , , .

    arXiv:2010.08039.
  3. , , .

    arXiv:1904.11860.

Publications

  1. , , , .

    Communications in Mathematical Physics (Forthcoming). arXiv:1810.03169.
  2. , , , .

    International Journal of Computer Vision 129 (2021), pp. 2425–2444. arXiv:2006.11652. Code available on github.com/SRNFmatch.
  3. , , .

    Mathematics and Financial Economics 15, 885-915 (2021). arXiv:2001.05906.
  4. .

    Discrete and Continuous Dynamical Systems B 26, 10 (2021), pp. 5567-5579. arXiv:1902.01471.
  5. , , .

    Calculus of Variations and Partial Differential Equations 59, 62 (2020). arXiv:1909.08657.
  6. .
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    Zeitschrift für Finanzmarktrecht 222 (2019), pp. 517-519.
  7. , , .

    Archive for Rational Mechanics and Analysis 235 (2020), pp. 1445-1466. arXiv:1805.04401.
  8. , , .

    In: Geometric Science of Information. Springer (2019). arXiv:1903.00855.
  9. , .

    Zeitschrift für Angewandte Mathematik und Physik 70, 16 (2019) . arXiv:1710.01273.
  10. , .

    Stochastic Processes and their Applications 129, 4 (2019), pp. 1185-1228. arXiv:1510.04061.
  11. , , .

    Journal of the European Economic Association 17, 5 (2019), pp. 1470-1501. SSRN 2263504.
  12. , , , .

    Discrete and Continuous Dynamical Systems A 38, 3 (2018), pp. 1161-1185. arXiv:1702.04344.
  13. , , , .

    Math. Fin. 28, 3 (2018), pp. 757-799. arXiv:1502.02926.
  14. , .

    Math. Oper. Res. 43, 2 (2018), pp. 399-427. arXiv:1506.07291.
  15. , , , .
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    SIAM J. Imaging Sci. 10, 1 (2017), pp. 47-73. arXiv:1603.03480. Code available on .
  16. , , , .
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    Risks 4, 3 (2016), pp. 1-31. arXiv:1512.06454.
  17. , , , .
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    1st International Workshop on Differential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories, 2015. arXiv:1507.08816.
  18. , , , .
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    5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy, 2015. arXiv:1506.08840.
  19. , .

    Differential Geometry and its Applications 39 (2015), pp. 166-183. arXiv:1403.1436.
  20. , , .

    Journal of Geometric Mechanics 4, 4 (2012), pp. 365-383. arXiv:1109.0404.
  21. , , , .

    Annals of Global Analysis and Geometry 44, 1 (2013), pp. 5-21. arXiv:1105.0327.
  22. , , .

    Journal of Differential Geometry 94, 2 (2013), pp. 187-208. arXiv:1102.3347.
  23. , , , .

    Annals of Global Analysis and Geometry 41, 4 (2012), pp. 461-472. arXiv:1102.0236.
  24. , , .

    Differential Geometry and its Applications 30, 1 (2012), pp. 33-41. arXiv:1102.0678.
  25. , , .

    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.
  26. , .

    Comptes Rendus Mathematique 350, 15-16 (2012), pp. 773-776. arXiv:1209.2878.
  27. , , .

    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

philipp.harms@stochastik.uni-freiburg.de
www.stochastik.uni-freiburg.de/professoren/harms
Last updated in November 2021 by Philipp Harms.