doc. Yaroslav Bazaykin, DrSc.
Associate Professor
Room: CP 7.02
Phone: +420 475 286 678
E-mail: Yaroslav.Bazaykin@ujep.cz
Office hours:
| Tuesday | 13.00–14.00 |
| Thursday | 13.00–15.00 |
Please arrange consultations in advance by email.
I am a mathematician at Jan Evangelista Purkyně University in Ústí nad Labem, Czech Republic. My research spans differential geometry and topology, computational methods, and mathematical modelling of transport and evolving materials.
Alongside fundamental questions in geometry, I develop analytical and phase-field models of physical processes. My interdisciplinary work connects geometry, topology and differential equations with problems in chemical engineering and materials science.
Research directions
- Geometry and topology. Positive curvature and special holonomy; foliations and characteristic classes; discrete affine geometry. My work includes the construction of the positively curved manifolds known as Bazaikin spaces.
- Transport and evolving materials. Analytical heat and mass transfer, phase-field modelling, and sintering. Recent results address reactive-wall transport and connectivity-controlled trapping in mercury porosimetry.
- Computational topology and digital structures. Connectivity, homology and persistence in three-dimensional images. I study how pore geometry evolves and how image resolution and reduction affect the information retained.
My main research directions, representative contributions and links to papers.
Recent papers across my research areas, followed by selected earlier work.