nLab Milen Yakimov

Milen T. Yakimov is a Professor of Mathematics at Northeastern University. As described in his webpage, his research is in the areas of noncommutative algebra, cluster algebras, representation theory, triangulated categories, Poisson geometry and integrable systems.

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Selected works

On quantum cluster algebras:

• K. R. Goodearl, M. T. Yakimov, Quantum cluster algebras and quantum nilpotent algebras, Proc. Natl. Acad. Sci. USA 111(27):9696–9703 (2014) doi
• Kenneth R Goodearl, M. T. Yakimov, The Berenstein–Zelevinsky quantum cluster algebra conjecture, Journal of the Europ. Math. Soc. 22:8 (2020) 2453–2509
• K. R. Goodearl, M. T. Yakimov, Integral quantum cluster structures, Duke Math. J. 170:6 (2021) 1137–1200 doi

On quantum Schubert cells:

• Thomas H. Lenagan, Milen T. Yakimov, Prime factors of quantum Schubert cell algebras and clusters for quantum Richardson varieties, Journal für die reine und angewandte Mathematik (Crelles Journal) doi

• Milen Yakimov, Spectra and catenarity of quantum Schubert cells, Glasgow Mathematical Journal 55(A), 169–194 (2013) doi

On orbits, under the action of the torus, of the symplectic leaves on the rectangular matrix variety

• K. A. Brown, K. R. Goodearl, M. Yakimov, Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space, Adv. Math. 206:2 (2006) 567–629 doi

• K Goodearl, M Yakimov, Poisson structures on affine spaces and flag varieties. II. General case, Trans. Amer. Math. Soc.

category: people