Lukas Vierus

Dr. Lukas Vierus is a Researcher affiliated with the Department of Mathematics at Saarland University. He works under the Professur für Numerische Mathematik led by Prof. Dr. Thomas Schuster. His research focuses on inverse problems and dynamic refractive tensor tomography, with applications in numerical mathematics and applied sciences. Consultation hours are available upon request.

In teaching, he has instructed courses such as

• Numerical Laboratory in Computerized Tomography (Summer 2021, 2024)
• Einführung in die Numerik (Winter 2021/22)
• Elemente der Programmierung (Summer 2022)
• (Pro-)Seminar: Mathematical models for PDE-based inverse problems (Winter 2022/23)
• Inverse Problems (Winter 2023/24)
• Inverse Problems in Elasticity (Winter 2024/25)

His research interests emphasize advancing tomographic imaging techniques and solving inverse problems through transport equations and hyperelastic material models. He has presented work at international conferences including:

• 2nd Alps-Adriatic Inverse Problems Workshop (Klagenfurt, 2021)
• 10th International Conference “Inverse Problems: Modeling and Simulation” (Malta, 2022)
• 3rd Alps-Adriatic Inverse Problems Workshop (2023)
• 10th International Congress on Industrial and Applied Mathematics (Tokyo, 2023)

No scientific awards or grants are listed, and he has no recorded advisees. His professional activities include collaborative research with Thomas Schuster and contributions to sequential subspace optimization methods in material science.