I'm a professor of applied mathematics at Augsburg University of Applied Sciences. I regularly teach mathematics courses for computer engineering (technische Informatik) and international industrial engineering (internationales Wirtschaftsingenieurwesen) students as well as an introduction to computer science for data scientists.
Before I became a professor, I did my PhD with Heiko von der Mosel, a postdoc with Maria G. Westdickenberg both at RWTH Aachen University and worked for TN CURA.
Summer 2024
Summer 2024
Summer 2024
Winter 2023
Winter 2023
Winter 2023
Summer 2023
Summer 2023
Summer 2023
Winter 2022
Winter 2022
Winter 2022
Summer 2022
Summer 2022
Winter 2021
Winter 2021
Winter 2017
Summer 2017
Winter 2016
Winter 2016
Summer 2016
Summer 2016
Winter 2015
Summer 2015
Winter 2014
Summer 2014
Winter 2013
Summer 2013
Winter 2012
Summer 2012
Winter 2011
Summer 2011
Winter 2010
Summer 2010
Winter 2009
Summer 2009
Coming from an engineering school, I'm very interested in using a broad variety of mathematical tools in real world applications. I have worked together with engineers from different fields from both academia as well as the industry. For example, I helped the textile engineers from ITA RWTH Aachen to improve a pattern for sliver laying in cans and together with the German railway company DB we investigated data inconsistencies.
During my postdoc I investigated the metastability of the one-dimensional Cahn-Hilliard equation for initial data that is order-one away from the so-called slow manifold. In other projects we derived optimal relaxation rates for this equation and explore the energy landscape of the Cahn-Hilliard energy.
Geometric knot theory is concerned with analytic properties of knots such as the existence and regularity of minimizers of knot energies. The most prominent of these knot energies are the thickness, integral Menger curvature, and the Möbius energy. Discrete differential geometry adapts notions from classic differential geometry to discrete objects like polygons and meshes.
I'm especially interested in topics at the intersection of these two fields: For example in developing discrete counterparts for knot energies that have similar features as the original energies and that are designed to provide a geometrically pleasing and consistent discrete theory. Moreover, the discrete energies should approximate the smooth energies as their underlying objects refine.
Sebastian Scholtes and Maria G. Westdickenberg, J. Differential Equations, 362 (2023), 576-580.
arXiv:2104.03689 (2021). Tobias Grafke, Sebastian Scholtes, Alfred Wagner, Maria G. Westdickenberg
Sebastian Scholtes, Henrik Schumacher and Max Wardetzky, IMA J. Numer. Anal., draa084 (2020).
Felix Otto, Sebastian Scholtes and Maria G. Westdickenberg, SIAM J. Math. Anal., 51 (2019), 4645–4682.
Sebastian Scholtes and Maria G. Westdickenberg, J. Differential Equations, 265 (2018), 1528-1575.
In: New Directions in Geometric and Applied Knot Theory, Sciendo, 2017, 109-124.
arXiv:1501.06391 (2015). Thomas Havenith and Sebastian Scholtes
Dissertation, RWTH Aachen University (2014).
J. Knot Theory Ramifications 23 (2014), 1450045, 16.
Mol. Based Math. Biol. 2 (2014), 73-85.
arXiv:1304.4179 (2013).
Arch. Math. (Basel) 101 (2013), 235-241.
Fund. Math. 218 (2012), 165-191.
Oberwolfach Reports, 9 (2012) no.3, 2108-2110. Henrik Schumacher, Sebastian Scholtes and Max Wardetzky
arXiv:1202.0504 (2012).
Analysis (Munich) 31 (2011), 125-143.
In: Proceedings of the 3rd Aachen-Dresden International Textile Conference, Aachen, B. Küppers (ed.), 2009. Bayram Aslan, Sebastian Scholtes, Christopher Lenz and Thomas Gries
Diplomarbeit, RWTH Aachen University (2009).