Dr. Nikolas E. Tapia M.

I am part of the Stochastic Algorithms and Nonparametric Statistics research group at the Weierstraß Institute for Applied Analysis and Stochastics.
I work as a Postdoctoral Researcher in the MATH+ EF1-5 project "On robustness of Deep Neural Networks", led by P. K. Friz and C. Bayer.
Previously, I was part of the Differential Equations and Numerical Analysis research group at the Norwegian University of Science and Technology, where I worked with K. Ebrahimi-Fard.
Before that, I obtained a joint PhD in Mathematics from the University of Chile and Sorbonne Université under the direction of D. Remenik and L. Zambotti.

Online Events: I co-organize the Algebraic and Combinatorial Perspective in the Mathematical Sciences (Fridays @ 14:30 CET).

Current Projects

Preprints and Publications

Full list on the arXiv.

  1. J. Diehl, K. Ebrahimi-Fard, N. Tapia. Iterated-sums signature, quasisymmetric functions and time series analysis. Séminaire Lotharingien de Combinatoire 84B (2020), Article 84B.86, 12 pp. In press.
  2. C. Bellingeri, A. Djurdjevac, P. K. Friz, N. Tapia. Transport and continuity equations with (very) rough noise. (2020) arXiv 2002.10432 [math.AP]
  3. K. Ebrahimi-Fard, F. Patras, N. Tapia. L. Zambotti. Wick polynomials in non-commutative probability. (2020) arXiv: 2001.03808 [math.PR]
  4. J. Diehl, K. Ebrahimi-Fard, N. Tapia. Time-warping invariants of multidimensional time series. Acta Appl. Math. (2020) arXiv: 1906.05823 [math.RA]
  5. E. Celledoni, P.E. Lystad, N. Tapia. Signatures in Shape Analysis: an Efficient Approach to Motion Identification. (2019) In Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science vol. 11712. F. Nielsen, F. Barbaresco eds. arXiv: 1906.06406 [math.DG]
  6. N. Tapia, L. Zambotti. The geometry of the space of branched Rough Paths. Proc. London Math. Soc. 121 no. 2 (2020) pp. 220–251. arXiv: 1810.12179 [math.PR]
  7. K. Ebrahimi-Fard, F. Patras, N. Tapia, L. Zambotti. Hopf-algebraic deformations of products and Wick polynomials. Int. Math. Res. Not. (2018) rny269. arXiv: 1710.00735 [math.PR]

Talks

Upcoming Events

Past Events

Scholarships and awards