Sonja Petrovic

Algebraic statistics: random graph models, mixture models, non-asymptotic goodness-of-fit tests, Markov bases, existence and complexity of MLE, parameter identifiability.

Computational and applied algebraic geometry: toric geometry, combinatorics of Graver bases, symbolic and numerical computations; reductions, determinantal ideals, special fiber rings.

Biomathematics: algebraic phylogenetic models, Markov bases, model geometry, model identifiability.