Identifiability of 3D genome structures from partially allele-specific Hi-C data

Mathematical interests

Computational and real algebraic geometry: Gröbner bases and comprehensive Gröbner systems; toric geometry; tropical geometry;
matroids; cylindrical algebraic decomposition; quantifier elimination; homotopy continuation; intersection theory.

Applied algebra, geometry and topology: Chemical reaction networks; algebraic statistics and phylogenetics; image analysis; identifiability problems; persistent homology; point group determination.