I am a Milnor Lecturer at
Stony Brook University, since August 2018. I received my PhD degree from
UCLA, under the supervision of
Mario Bonk, while my undergraduate studies in Mathematics were completed at the
Aristotle University of Thessaloniki.
My primary research interests lie in the field of analysis on metric spaces. More specifically, my research focuses on uniformization and rigidity problems in metric spaces, as well as, on the study of the quasiconformal geometry of fractal sets. I am also interested in applications to complex dynamics and to fractals arising in probability.
Contact:
dimitrios.ntalampekos stonybrookedu 
Publications
Preprints

Falconer's \((K,d)\) distance set conjecture can fail for strictly convex sets \(K\) in \(\mathbb R^d\) (joint with Christopher Bishop and Hindy Drillick)
Submitted.
[preprint]

On the inverse absolute continuity of quasiconformal mappings on hypersurfaces (joint with Matthew Romney)
Submitted.
[arXiv preprint]

Potential theory on Sierpiński carpets with applications to uniformization
Submitted.
[arXiv preprint]
[poster]
Thesis
Events
CAFT 2018  New Developments in Complex Analysis and Function Theory, Heraklion, Greece, July 26, 2018