Misha Feigin's List of Publications

1.A.P.Veselov, M.V.Feigin, O.A.Chalykh "New integrable deformations of quantum Calogero-Moser problem" Russ.Math.Surv., 1996, 51 (3), pp.185-186
2. O.A.Chalykh, M.V.Feigin, A.P.Veselov "New integrable generalizations of Calogero-Moser quantum problem", J. Math. Phys., 1998, 39 (2), pp. 695-703
3. O.A.Chalykh, M.V.Feigin, A.P.Veselov"Multidimensional Baker-Akhiezer Functions and Huygens' Principle", Commun. Math. Phys., 1999, 206, pp. 533-566
4. M.V.Feigin "Singular operators satisfying an intertwining relation", Theor. and Math. Physics., 1999, 121, N. 2, pp.1478-1483
5. M.V.Feigin, A.P.Veselov"Quasi-invariants of Coxeter groups and m-harmonic polynomials", Intern. Math. Res. Notices, 2002, N. 10, pp. 521-545
6. M.V.Feigin "Intertwining relations for spherical parts of generalised Calogero operators", Theor. and Math. Physics, 2003, 135(1), pp. 55-69
7. M. Feigin, A.P.Veselov"Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems", Intern. Math. Res. Notices, 2003, V. 46, pp. 2487-2511
8. M.Feigin"Quasi-invariants of dihedral systems", Mathematical Notes, 2004, 76(5), pp. 776-791
9. M.Feigin"Bispectrality for deformed Calogero-Moser-Sutherland systems", Journal of Nonlin. Math. Phys., 2005, V.12,sup.2, pp. 95-136
10. M. Feigin "On the logarithmic solutions of the WDVV equations", Czech. J. of Physics, 2006, V.56, N. 10/11, pp.1149-1154
11. Y. Chen, M.Feigin "Painleve IV and degenerate Gaussian unitary ensembles", J.Phys.A.:Math.Gen, 2006, 40(39),pp. 12381-12393
12. M. Feigin, A.P. Veselov "Coxeter discriminants and logarithmic Frobenius structures", Advances in Math., 2007, 212(1), pp.143-162
13. M. Feigin, A.P. Veselov "On the geometry of V-systems", AMS Translations Series 2, 2008, V.224
14. M. Feigin "Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems", SIGMA 5 (2009), 088, 10 pages 

15. M. Feigin "Generalized Calogero-Moser systems from rational Cherednik algebras", Selecta Math, 2012, 218(1), pp. 253-281

16. M. Feigin, C. Shramov ”On unitary submodules in the polynomial representations of rational Cherednik algebras”, Intern. Math. Research Notices, 2012, No. 15, pp. 3375-3414

17. M. Feigin, A. Silantyev “Singular polynomials from orbit spaces”, Compositio Mathematica, 2012, v. 148 (6), pp. 1867-1879

18. M.V. Feigin, M.A. Hallnas, A.P. Veselov “Baker-Akhiezer functions and generalised Macdonald-Mehta integrals”, Journal of Math. Physics, 2013, V.54.


19. M. Feigin, O. Lechtenfeld, A. Polychronakos “The quantum angular Calogero-Moser model”, Journal of High Energy Physics, 2013, 07, 162.

20. M. Feigin, A. Silantyev “Generalized Macdonald-Ruijsenaars systems”, Advances in Mathematics, 2014, v. 250, pp. 144-192.

21. M. Feigin, D. Johnston “A class of Baker-Akhiezer arrangements”, Communications in Math. Physics, v. 328, 2014, no.3, pp. 1117-1157.

22. M. Feigin, T. Hakobyan “On Dunkl angular momenta algebra”, Journal of High Energy Physics, 11 (2015) 107.

23. M. Feigin, "The Hilbert series of Lambda_{r,s}(m)", Appendix to P.Etingof, E. Rains “On Cohen-Macaulayness of algebras generated by generalized power sums”, Communications Math. Phys.(2016)

24. M.V. Feigin, A.P. Veselov “V-systems, holonomy Lie algebras and logarithmic vector fields”, Intern. Math. Res. Notices, 2017.



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