from 2019. Assistant Professor, Faculty of Mathematics, University of Vienna (Austria).
2017–2019. Szegő Assistant Professor, Department of Mathematics, Stanford University (USA).
2015–2017. Postdoctoral researcher (group of Prof. Bart Vandereycken), Section of Mathematics, University of Geneva (Switzerland).
2011–2015. Scientific assistant (group of Prof. Christoph Schwab), Seminar for Applied Mathematics, Department of Mathematics, ETH Zurich (Switzerland).
2008–2011. Out-of-staff researcher (group of Prof. Eugene Tyrtyshnikov), Institute of Numerical Mathematics, Russian Academy of Sciences (Moscow, Russia).
2009. Out-of-staff researcher (group of Prof. Grigorii Ivanov), Department of Mathematics, Moscow Institute of Physics and Technoology (Russia).
2006–2008. Teacher, Correspondence School of MIPT (Dolgoprudny, Russia).
2011–2015. Dr.Sc. in Mathematics at the Seminar for Applied Mathematics, Department of Mathematics, ETH Zurich (Switzerland). Adviser: Prof. Christoph Schwab. Thesis.
2009–2011. M.Sc. in Applied Mathematics and Physics at the Moscow Institute of Physics and Technology (Russia). Thesis title: «Analytical and numerical methods for the construction of tensor decompositions». Adviser: Prof. Eugene Tyrtyshnikov.
2005–2009. B.Sc. in Applied Mathematics and Physics at the Moscow Institute of Physics and Technology (Russia). Thesis title: «Methods of canonical tensor approximation». Adviser: Prof. Eugene Tyrtyshnikov.
Since September 2025. Philipp Eberstaller. Supervision, MSc thesis «Mathematical foundations and comparative analysis of sequence-to-sequence neural networks» at the University of Vienna.
Since October 2023 . Denis Konov. Supervision, doctoral project «Low-rank tensor approximation for the data-driven exploration and solution of PDEs» at the University of Vienna.
March 2023 – March 2024. Stanislav Budzinskiy. Supervision, post-doctoral research at the University of Vienna within the special research program F 65 «Taming Complexity in Partial Differential Systems» of FWF.
April 2024 – October 2025. Stanislav Budzinskiy. Mentoring, post-doctoral research at the University of Vienna within the project «Bochner matrices: the approximation of matrices with infinite-dimensional entries» of the joint program «Early Career Seed Money» of the Austrian Academy of Sciences and FWF.
October 2021 – February 2025. Sara Fraschini. Supervision (joint with Ilaria Perugia), doctoral project «Space-time finite element methods for wave problems in time-domain: tensor-structured approaches» at the University of Vienna, awarded the 22nd IMA Leslie Fox Prize (second prize).
June 2024 – September 2024. Martin Parker. Supervision, MSc thesis «Partial analysis increments: theory and application to optimisation of vertical localisation» at the University of Vienna.
July 2021 – December 2022. Clemens Karner. Supervision (joint with Philipp Petersen), MSc thesis «The stability of neural-network approximation and learning» at the University of Vienna.
July 2019 – August 2019. Jason Zhu. Supervision, project on low-rank tensor decompositions at Stanford Undergraduate Research Institute in Mathematics (SURIM).
2014 spring semester. Simon Etter. Supervision (joint with Robert Gantner and Christoph Schwab), semester thesis MPI-Based Tensor Network Library towards a Master degree in Computational Science and Engineering, .
Peer review
September 2025. Co-organizer, Minisymposium 81 «Low-Rank Tensor Methods for Parametric and Multiscale Problems» of the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2025 in Heidelberg (Germany), jointly with Stanislav Budzinskiy (University of Vienna).
October 2024. Co-organizer, Workshop «High-dimensional methods in stochastic and multiscale PDEss» of the F 65 «Taming Complexity in Partial Differential Systems» in Vienna (Austria), jointly with Michael Feischl (TU Wien) and Julian Fischer (ISTA).
July 2018. Co-organizer, Minisymposium «Low-rank tensors and high-dimensional problems» of the 2018 SIAM Annual Meeting in Portland, Oregon (USA), jointly with Bart Vandereycken (University of Geneva), sponsored by SIAG LA.
December 2010–June 2011. Local organization, 3rd International Conference on Matrix Methods in Mathematics and Applications by the Institute of Numerical Mathematics of the Russian Academy of Sciences (Moscow, Russia).
The ETH Medal for outstanding doctoral theses is awarded to at most 8% of the doctoral graduates of each department. Two doctoral graduates of the Department of Mathematics received the award in 2016.
The RAS medal for outstanding scientific works is awarded annually in 19 areas. Two students were awarded in 2011 for works in mathematics.