Martin Lind

Martin Lind is an Assistant Professor of Mathematical Analysis at Karlstad University. His research focuses on advanced topics in mathematical analysis, including discrepancy theory, functions of bounded variation, approximation theory, and multiscale systems. He holds a PhD from Karlstad University (2013) and completed a post-doctoral fellowship at the University of South Carolina (2014-2015).

• Education:
• PhD in Mathematics, Karlstad University, 2013

His work bridges pure and applied mathematics, addressing problems in number theory, functional analysis, and numerical methods. Key research themes include:

• Discrepancy estimates for pseudorandom sequences
• Properties of functions with bounded variation (p-variation, Lambda-variation)
• Nonlinear approximation methods using splines
• Analysis of multiscale elliptic-parabolic systems

His recent publications (2020-2024) emphasize number-theoretic aspects of sequences and their applications in quasi-Monte Carlo methods. He collaborates actively on applied projects like pollution reduction modeling with photocatalytic materials.

Notable contributions include:

• Developing variational characterizations of Sobolev spaces
• Establishing convergence rates for semidiscrete Galerkin schemes
• Exploring Fubini-type properties in multivariate analysis