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## Summary:

Broadly speaking, I am a Mathematical Physicist. My research lies at the intersection of geometry and physics of quantum information theory. It is focused on explicit and asymptotic knowledge of the geometrical and topological invariants of mathematical objects which arise by elimination of existing symmetries from concrete systems in quantum mechanics.

More specifically, I am interested in geometrical and topological invariants of regular/singular quotients of certain homogeneous spaces obtained from compact Lie groups, especially those with direct link with quantum information theory, such as the special unitary group.

## Research interests:

### Mathematics

- Symplectic geometry and symmetry reduction of Hamiltonian systems
- Equivariant-cohomological and localization methods and their applications in Quantum physics

### Physics

- Mathematical aspects of quantum information processing protocols
- Group-theoretical techniques in entanglement characterization

## Publications:

### Current Projects:

- S. Molladavoudi (2016). ''Cohomological invariants for Abelian symplectic quotients of pure r-qubits''. submitted. arXiv link.

### Refereed Research Papers:

- S. Molladavoudi and H. Zainuddin (2015). ''PoincarĂ© polynomials for Abelian symplectic quotients of pure r-qubits via wall-crossings''.
*Journal of Geometry and Physics***96**, 36-25. arXiv link. - S. Molladavoudi (2014).''On the Symplectic Reduced Space of Three-Qubit Pure States''.
*Malaysian Journal of Mathematical Sciences, Special Issue: The 6th Aisa-Pacific Conference and Workshop on Quantum Information Science 2012,***8**(S), 47-62. arXiv link. - Chan, K. T., H. Zainuddin, and S. Molladavoudi (2013). ''Computation of Quantum Bound States on a Singly Punctured Two-Torus''.
*Chinese Physics Letters***30**(1), 010304. - Chan, K. T., H. Zainuddin, and S. Molladavoudi (2013). ''Computation and Visualization of Cuspidal Waveforms for Modular Group Using GridMathematica''.
*Sains Malaysiana***5**(42), 655-660. - S. Molladavoudi, H. Zainuddin and Chan K. T. (2012). ''Jensen-Shannon divergence and non-linear quantum dynamics''.
*Physics Letters A***376**(26-27), 1955-1961. arXiv link. - F. Shojai and S. Molladavoudi (2007). ''Quantum cosmology with varying speed of light and Bohmian trajectories''.
*General Relativity and Gravitation***39**(6), 795-813. arXiv link.

### Conference Proceedings:

- S. Molladavoudi, H. Zainuddin and Chan K. T. (2014).''Pure tripartite entanglement types based on spectra of reduced density matrices''.
*Journal of Physics: Conference Series,***553**(1), 012002.

### Unpublished:

- S. Molladavoudi and H. Zainuddin (2014).''Symplectic Quotient of Pure Three-Qubit States Under Local Unitary Transformations''.

### Theses:

- S. Molladavoudi (2013).''Symplectic Techniques in Geometric Quantum Mechanics and Nonlinear Quantum Mechanics''.
*PhD Thesis,***University Putra Malaysia**. - S. Molladavoudi (2007).''Varying Speed of Light Theories''.
*MSc Thesis,***University of Tehran, Iran**.