Danka Lučić

Danka Lučić is a Researcher at the University of Jyväskylä, specializing in advanced mathematical analysis with a focus on metric measure spaces, Sobolev spaces, and non-smooth geometry. Her work bridges functional analysis, geometric measure theory, and calculus of variations, addressing foundational questions in these areas through innovative axiomatic and analytical approaches.

• Education:
• Ph.D. in Mathematics, 2019 (Thesis: Universal infinitesimal Hilbertianity of sub-Riemannian manifolds)

Her research explores topics such as BV functions, normed modules, and optimization problems in metric settings. She has contributed to representation theorems, density results, and Gamma-convergence techniques in non-smooth frameworks. Collaborations with leading mathematicians like Nicola Gigli, Enrico Pasqualetto, and Tapio Rajala highlight her role in advancing interdisciplinary mathematical analysis.

Her recent work emphasizes metric Sobolev spaces, Lebesgue differentiation in measure spaces, and applications to geometric optimization. Notable results include equivalence of Sobolev space definitions, BV-extension set approximations, and analysis of Hilbertian structures in non-Euclidean spaces.