### Publications:

All my papers are listed on ORCID and all recent ones are available on arXiv. Here are the links to my Google Scholar and my MathSciNet profiles.

### Current Research Interests:

### My research interests lie in the area of Combinatorial, Computational and Applied Algebraic Geometry. In particular, I am interested in developing mathematical tools to study problems in statistics and probability theory, theoretical computer science, mathematical optimization, and quantum physics. On the theoretical side, I work on toric varieties, combinatorial divisor theory, determinantal varieties, tensors and their decompositions, algebraic statistics (conditional probabilities, graphical models, causality), matroids, and system reliability theory.

Numerical algebraic geometry: solving polynomial systems

Tensors: algebra, geometry and applications in quantum physics

Solving structured polynomial systems

Combinatorial rigidity theory and geometric tensegrity

Matroids and their associated algebraic varieties

Toric degenerations of varieties using tools from representation theory, tropical geometry and cluster algebra

Algebraic and combinatorial divisor theory for graphs and matroids

Algebraic statistics with a focus on graphical models and maximal likelihood degree of varieties

Sandpile models (avalanche dynamics)

Hyperplane arrangements and Orlik-Terao ideals

GrĂ¶bner bases and its applications

Deformation, minimal free resolutions, and cellular resolution of ideals

Determinantal ideals and their applications in conditional independence statements

System reliability theory and percolation theory

Combinatorial persistent homology and computational topology