معرفی
Lukas Koch is an Assistant Professor in Mathematics at the University of Sussex, School of Mathematical and Physical Sciences. He transitioned from a postdoctoral position at the Max Planck Institute for Mathematics in the Sciences (2021–2024) to his current permanent role as of 2024. His academic credentials include an MMath (2013–2017) and PhD (2017–2021) from the University of Oxford.
- Education
- MMath, University of Oxford
- PhD, University of Oxford
- Postdoctoral Training
- Max Planck Institute for Mathematics in the Sciences
Research Interests: Dr. Koch specializes in the Calculus of Variations and Optimal Transport, focusing on Regularity Theory for nonlinear PDEs and functionals with $(p,q)$-growth. His work addresses boundary regularity, Lavrentiev gaps, and numerical approximation schemes for elliptic systems.
Publication Trends: His research spans Analysis of PDEs and Calculus of Variations, with recent articles exploring entropic optimal transport, p-Laplace homogenization, and Jacobian equations in critical Sobolev spaces. Collaborations include notable mathematicians like Felix Otto, André Guerra, and Sauli Lindberg.
Teaching Experience: He has taught Linear Algebra, Calculus of Variations, and advanced courses on Nonlinear Potential Theory at institutions including the University of Sussex, University of Leipzig, and Max Planck Institute. His teaching spans undergraduate to graduate levels.
