Dr Misha Feigin

  • Lecturer (Mathematics)

telephone: 01413306293
email: Misha.Feigin@glasgow.ac.uk


Personal website

Research Interests

The area of my research is the theory of integrable systems in relations with algebra, geometry and mathematical physics.

More concretely, I am working on quantum integrable systems of Calogero-Moser type and their relativistic analogues known as Ruijsenaars-Macdonald operators, Baker-Akhiezer functions and Darboux transformations in many dimensions, Hadamard's problem in the theory of Huygens' Principle, Coxeter and other hyperplane arrangements, rings of quasi-invariants, representations of Cherednik algebras, Frobenius manifolds, WDVV equations, theory of random matrices.

Research Groups

Due to essential maintenance on Enlighten, links to individual publications may be temporarily unavailable

Jump to: 2013 | 2012 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002
Number of items: 17.

2013

Feigin, M., Lechtenfeld, O., and Polychronakos, A. (2013) The quantum angular Calogero-Moser model. Journal of High Energy Physics, 2013 (162). ISSN 1029-8479 (doi:10.1007/JHEP07(2013)162)

Feigin, M., and Silantyev, Al. (2013) Generalized Macdonald-Ruijsenaars systems. Advances in Mathematics . ISSN 0001-8708 (In Press)

Feigin, M.V., Hallnäs, M.A., and Veselov, A.P. (2013) Baker-Akhiezer functions and generalised Macdonald-Mehta integrals. Journal of Mathematical Physics, 54 (5). 052106. ISSN 0022-2488 (doi:10.1063/1.4804615)

2012

Feigin, M., and Silantyev, A. (2012) Singular polynomials from orbit spaces. Compositio Mathematica, 148 (6). pp. 1867-1879. ISSN 0010-437X (doi:10.1112/S0010437X1200036X)

Feigin, M. (2012) Generalized Calogero–Moser systems from rational Cherednik algebras. Selecta Mathematica - New Series, 18 (1). pp. 253-281. ISSN 1022-1824 (doi:10.1007/s00029-011-0074-y)

Feigin, M., and Shramov, C. (2012) On unitary submodules in the polynomial representations of rational cherednik algebras. International Mathematics Research Notices, 15 . pp. 3375-3414. ISSN 1073-7928 (doi:10.1093/imrn/rnr140)

2009

Feigin, M., Korff, C., and Strachan, I. (2009) Workshop island 3: algebraic aspects of integrability. Introduction to an additional volume of selected papers arising from the conference on algebraic aspects of integrable systems, Island 3, Islay 2007. Glasgow Mathematical Journal, 51 (A). pp. 1-3. ISSN 0017-0895 (doi:10.1017/S0017089508004734)

Feigin, M. (2009) Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems. Symmetry, Integrability and Geometry: Methods and Applications, 5 . 088. (doi:10.3842/SIGMA.2009.088)

2008

Feigin, M., and Veselov, A.P. (2008) On the geometry of V-systems. In: Buchstaber, V.M. and Krichever, I.M. (eds.) Geometry, Topology, and Mathematical Physics: S. P. Novikov's Seminar: 2006-2007. Series: American Mathematical Society translations; series 2 (224). American Mathematical Society , Providence, R.I., USA, pp. 111-124. ISBN 9780821846742

2007

Feigin, M., and Veselov, A.P. (2007) Logarithmic Frobenius structures and Coxeter discriminants. Advances in Mathematics, 212 (1). pp. 143-162. ISSN 0001-8708 (doi:10.1016/j.aim.2006.08.010)

2006

Feigin, M. (2006) On the logarithmic solutions of the WDVV equations. Czechoslovak Journal of Physics, 56 (10-11). pp. 1149-1153. ISSN 0011-4626 (doi:10.1007/s10582-006-0416-8)

Chen, Y., and Feigin, M. (2006) Painlevé IV and degenerate Gaussian unitary ensembles. Journal of Physics A: Mathematical and General, 39 (40). pp. 12381-12393. ISSN 0305-4470 (doi:10.1088/0305-4470/39/40/007)

2005

Feigin, M. (2005) Bispectrality for deformed Calogero­-Moser­-Sutherland systems. Journal of Nonlinear Mathematical Physics, 12 (Supple). pp. 95-136. ISSN 1402-9251 (doi:10.2991/jnmp.2005.12.s2.8)

2004

Feigin, M. (2004) Quasi-invariants of dihedral systems. Mathematical Notes, 76 (5). pp. 723-737. ISSN 0001-4346 (doi:10.1023/B:MATN.0000049671.38147.7e)

2003

Feigin, M. (2003) Intertwining relations for the spherical parts of generalized Calogero operators. Theoretical and Mathematical Physics, 135 (1). pp. 497-509. ISSN 0040-5779 (doi:10.1023/A:1023231402145)

Feigin, M., and Veselov, A.P. (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. International Mathematics Research Notices, 2003 (46). pp. 2487-2511. ISSN 1073-7928 (doi:10.1155/S1073792803130826)

2002

Feigin, M., and Veselov, A.P. (2002) Quasi-invariants of Coxeter groups and m-harmonic polynomials. International Mathematics Research Notes, 2002 (10). pp. 521-545. ISSN 1073-7928 (doi:10.1155/S1073792802106064)

This list was generated on Wed Oct 2 00:07:17 2013 BST.