2025–present
Professor of Applied Mathematics, Mathematical Institute, University of Wrocław, Poland.

2023–2025
Visiting Professor of Applied Mathematics, Mathematical Institute, University of Wrocław, Poland.

2021–present
Young Investigator / Research Group Leader, Mathematical Foundations of Complex Systems Science, CASUS – Center for Advanced Systems Understanding, Helmholtz-Zentrum Dresden-Rossendorf e.V. (HZDR), Görlitz, Germany.

2015–2021
Research Fellow, MOSAIC Group, Chair of Scientific Computing for Systems Biology, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany.

2013–2015
Postdoctoral Researcher, Bioinformatics Group (Prof. Dr. Peter F. Stadler), Department of Computer Science, University of Leipzig, Germany.

2007–2013
PhD in Mathematics, University Leipzig & Max Planck Institute for Mathematics in the Sciences, Leipzig. Dissertation: Isomorphic chain complexes of Hamiltonian dynamics on tori, supervised by Prof. Dr. Matthias Schwarz and Prof. Dr. Alberto Abbondandolo.

2000–2007
Study of Mathematics and Physics, University Leipzig. Diploma thesis: Subharmonic solutions of the Hamilton equation on tori, supervised by Prof. Dr. Matthias Schwarz.

It was my great pleasure to accept two invitations from Prof. Leslie Greengard, the Director of the Center for Computational Mathematics (CCM) at the Flatiron Institute, Simons Foundation, New York City, USA, to present my research and discuss potential common research endeavors. As a result,  we are actively collaborating with Prof. Leslie Greengard,  Shidong Jiang, PhD, and Daniel Fortunato, PhD,  CCM, NYC, USA in the field of fast spectral methods. 

Prof. Grady Wright, Bois University, USA, was one of my guests during a workshop on kernel methods I organized. I'm  delighted to join efforts on developing further contributions to the field of numerical differential geometry together with Grady.

I'm honoured to exchange scientific ideas and develop novel perspectives, addressing mathematical problems arising in PDE theory and their numerical solutions, with Prof. Oliver Sander, Technical University Dresden. Two PhD projects on these aspects are jointly supervised, funded by the CASUS Open Project Computational methods for cell shapes and elastic materials.   

My engagement in the Mosaic group, headed by Prof. Ivo F. Sbalzarini, Technical University, Dresden, located at the interdisciplinary research environment of the Max Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG) and the Center for Systems Biology (CSBD) has been substantial for my scientific career. Continuing to work with Ivo is a delight and provides profound scientific insights across disciplines and fields.

07-2025 Minisymposium ICOSAHOM 2025: High-Order Methods for Interpolation, Integration, and Differentiation of Regular Functions on High-Dimensional Flat and Manifold Domains. Montréal, Canada. Guests: 

Anna-Karin Tornberg -- KTH Royal Institute of Technology, Stockholm, Sweden, Grady Wright  -- Boise State University, Boise, USA, Daniel Fortunato -- CCM, Flatiron Institute, NYC, USA, Keaton  Burns -- CCA, Flatiron Institute, NYC, USA, Thomas Hangelbroek -- University of Hawaii at Mānoa, USA, Christian Rieger -- Philipps-Universität Marburg, Marburg, Germany, Gentian Zavalani -- Technical University Dresden, Dresden, Germany, Phil-Alexander Hofmann, CASUS Görlitz, Germany. 

06-2024 Scultetus summer school: Approximation Theory and Approximation Practice

CASUS, Görlitz, Germany. Guests: Prof. Grzegorz Karch, Wrocław University; Prof. Cristóbal López Sánchez, Universitat de les Illes Balears

09-2023 Workshop on Numerical Differential Geometry and Kernel Methods

CASUS, Görlitz, Germany. Guests: Prof. Grady Wright, Boise University, USA; Dr. Daniel Fortunato, Ph.D, CCM, USA; Dr. Jan Glaubitz, MIT, USA.

01-2023 German-Polish Exchange: Challenges in Mathematics

University Wrocław, Poland. Guests: Prof. Grzegorz Karch, Prof. Maciej Matyka, 

Dr. Szymon Cygan, University Wrocław

03-2020 Workshop on Multivariate Interpolation – Lifting the Curse of Dimensionality, CASUS, Görlitz,, Germany. Guests: Prof. Ivo F. Sbalzarini, Dr. Debayan Saha, Dr. Kai Schumann, TUD, MPI-CBG & CSBD, Dresden Germany.

CASUS Open Project Computational methods for cell shapes and elastic materials 

The project serves as the funding for two PhD positions, 2021–2024.

Partners:

Prof. Ivo F. Sbalzarini, Center for Systems Biology Dresden, Max Planck Institute of Molec- ular Cell Biology and Genetics, Technical University Dresden.

Prof. Oliver Sander, Mathematical Faculty, Technical University Dresden.

MALEK Machine Learning for Complex Hydrological-Geochemical Processes in Crystalline Rock Repository. 

Bundesministeriums für Umwelt, Naturschutz, nukleare Sicherheit und Verbraucherschutz (BMUV).

The project aims to serve as the funding for one Post-Doc position, associated to the Hecht- Lab, 2026–2029 and further positions associated to the partners.

Partners:
Prof. Vinzenz Brendler, Helmholtz-Zentrum Dresden - Rossendorf e.V. Prof. Thomas Nagel, TU Bergakademie Freiberg
Prof. Florian Wellmann, RWTH Aachen

Suarez Cardona, Juan-Esteban Variational Spectral Methods for General and Regular Boundary Problems of Partial Differntial Equations. Faculty of Computer Science, Technical University Dresden, Germany, 2025

joint supervision with Prof. Ivo F. Sbalzarini.

Zavalani, Gentian High-Order Integration and PDE Solvers on closed Surfaces. Faculty of Mathematics, Technical University Dresden, Germany,

joint supervision with Prof. Oliver Sander. 2026

Trina De, Integrating Domain Priors in Rule-Based and Deep Learning Algorithms for Biomedical Image Analysis,  Technical University Dresden, Germany, 2026, joint supervision with  Prof. Ivo F. Sbalzarini und Dr. Artur Yakimovich.

Schreiber, Janina Polynomial Model Based Optimisation for Black Box Objectives, Faculty of Computer Science, Technical University Dresden, Germany, joint supervision with Prof. Ivo F. Sbalzarini. (ongoing)

Hofmann, Phil-Alexander The Fast Newton Transform: Interpolation in Downward-Closed Spaces 

Technical University Dresden, Germany (ongoing)

Hofmann, Phil-Alexander Implementation and Complexity Analysis of Algorithms for Mul- tivariate Newton Polynomials of p-Degree Bachalor Thesis, joint supervision with Prof. Peter F. Stadler, Chair of Bioinformatics, Faculty of Computer Science, University Leipzig, Germany, April 2024

Kangen Yashwanth, Ashish Sparse Architectures of Polynomial Neural Networks Master Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology, Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, Sept 2023

Hofmann, Phil-Alexander Variational Pseudo-Spectral Partial Differential Equations Solver of Soft-Constrained Second Order Boundary Value Problems Diploma Thesis, joint supervision with Prof. Matthias Schwarz, Chair of Mathematics in the Sciences, Faculty of Mathematics, University Leipzig, Germany, July 2023

Krishnamurthy Ramanaik, Chethan Topological Analysis of Curved Spaces and Hybridization of Autoencoders Master Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology, Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, January 2023.

Bherulal Jain, Saiyam Adversarial Attacks and Noise Bias for Machine Learning Image Process- ing Master Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology, Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, January 2023.

Becker, Stephan Numerical stability of DC PSE Operators Diploma Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology, Faculty of Com- puter Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, May 2021.

Ramesh, Nikitha Siddappa Robustness of CARE Denoisers – An Active Learning Approach Master Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, May 2021.

Michelfeit, Jannik Interpolation of Hyperparameters for Deep Neural Nets Master Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, December 2020.

Michelfeit, Jannik A Response Surface Method based on Multivariate Newton Interpolation Student Thesis, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Computing for Systems Biology, Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, June 2019.

Jiang, Xinjing Efficient Preconditioning of DC PSE Operators based on Multivariate Newton Interpolation Internship, joint supervision with Prof. Ivo F. Sbalzarini, Chair of Scientific Comput- ing for Systems Biology, Faculty of Computer Science, Technical University Dresden & Center for Systems Biology Dresden, Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany, June 2019.