Alexey A. Tuzhilin

Full Professor of Mathematics

                    Department of Differential Geomatry and Applications
                    Faculty of Mechanics and Mathematics
                           Lomonosov Moscow State University
                           Main Building, 1 Leninskiye Gory
                           Moscow, 119991, GSP-1, 
                           Phone: +7-495-939-3940

Curriculum Vitae

Areas of Interest

Alexey Tuzhilin investigates low-dimensional geometrical variational problems, including various generalizations of Steiner Problem on finding shortest networks (Steiner minimal trees). He pays special attention to one-dimensional minimal fillings in Gromov’s sense. In addition, he researches on the geometry of Gromov-Hausdorff space, i.e., the space of isometry classes of compact metric spaces. Alexey Tuzhilin obtained his main results in collaboration with Alexander O. Ivanov.

Books In English



Lectures on Hausdorff and Gromov-Hausdorff Distances Geometry


Examination questions.
  1. Ivanov A.O., Tuzhilin A.A. The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces. 2019, ArXiv e-prints, arXiv:1907.03828.
  2. Mikhaylov I.A. The Hausdorff Mapping Is Nonexpanding. 2017, ArXiv e-prints, arXiv:1710.08472.
  3. Ivanov A.O., Iliadis S., Tuzhilin A.A. Local Structure of Gromov-Hausdorff Space, and Isometric Embeddings of Finite Metric Spaces into this Space. 2016, ArXiv e-prints, arXiv:1604.07615.
  4. Ivanov A.O., Tuzhilin A.A. Local Structure of Gromov-Hausdorff Space near Finite Metric Spaces in General Position. 2016, ArXiv e-prints, arXiv:1611.04484.