Anton Arnold

Anton Arnold is a Full Professor of Mathematical Analysis at TU Wien's Institute of Analysis and Scientific Computing. He specializes in applied mathematics, partial differential equations (PDEs), and kinetic theory. His research focuses on hypocoercivity, entropy methods, quantum transport, and numerical analysis of highly oscillatory systems. Arnold has held leadership roles, including Deputy Speaker of the SFB 'Taming Complexity in Partial Differential Systems' and Coordinator of the TMR Network 'Asymptotic Methods in Kinetic Theory'. He earned his doctoral degree (Dr.techn.) from TU Wien and habilitation from TU Berlin. His work spans theoretical analysis, numerical methods, and applications in physics and engineering. Key contributions include studies on Fokker-Planck equations, Wigner equations, and Schrödinger dynamics. He has supervised numerous PhD and master’s students, contributing to the academic community through editorial roles and international collaborations.

• Education:
• PhD in Technical Sciences (1990), TU Wien
• Habilitation in Mathematics (1996), TU Berlin
• Research Interests:
• Hypocoercivity theory
• Entropy methods for PDEs
• Quantum kinetic models
• Numerical methods for dispersive waves
• Recent Projects:
• FWF-Project 'Numerical Constraints for the Wigner and the Sigma Equation' (2020–2024)
• Vienna Center for PDEs (2014–present)

Arnold's work bridges theoretical analysis and practical applications, addressing complex systems in physics, engineering, and biology. His research on decay rates, Fokker-Planck equations, and wave propagation has advanced understanding of nonlinear and dispersive phenomena.