Research Interests

• Poisson and Symplectic Geometry

• Noncommutative Geometry and Algebra

• Quantization of Geometric and Algebraic Structures

• Representation Theory

• Mathematical Physics

In progress

• Atiyah classes of Manin pairs (with F. Petalidou)

• Atiyah classes of representations up to homotopy of Lie pairs (with S. Lavau)

Papers & Preprints

• P. Batakidis & F. Petalidou: "Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids"  J. Geom. Phys. 199 (2024), 105142 (arXiv)

• P. Batakidis & R. Vera: "Poisson structures of near-symplectic manifolds and their cohomology", J. Math. Phys. 62, (2021) 033513 (arxiv)

• P. Batakidis & R. Vera: "Poisson cohomology of broken Lefschetz fibrations" , Diff. Geom. Appl. 72 (2020) 101661 (arxiv)

• P. Batakidis & Y. Voglaire: "Atiyah classes and dg-Lie algebroids for matched pairs", J. Geom. Phys., 123 (2018), 156-172 (arxiv)

• P. Batakidis & N. Papalexiou: "W- algebras and Duflo Isomorphism", J. Algebra Appl., 11 (2018) 1850041 (arxiv)

• P. Batakidis: "Reduction algebra and differential operators on Lie groups",  Beitr. Algebra Geom., 56 (2015), 175-198 (arxiv)

• P. Batakidis: "Equivalence of characters in deformation quantization and Lie theory",   J. Lie Theory, 24 (2014), 75-94 (arxiv)

• P. Batakidis: "Deformation quantization and invariant differential operators",  C. R. A. S. Paris, Ser. I 349 (2011), 143-148 (arxiv)

• P. Batakidis: "Biquantization techniques for computing characters of differential operators on Lie groups", C. R. A. S. Ser. I 349 (2011), 247-250 (arxiv)

• P. Batakidis: "Deformation par Quantification et Theorie de Lie", Ph. D. Thesis, University Paris 7, France, (2009), 174 pages.