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  Jacques Hurtubise
BSc. (UdeM), D.Phil. (Oxford)   hurtubise@math.mcgill.ca   Tel: (514) 398-3816 |
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  Courses | Research Interests | Publications | Awards | Graduate Students | CV | Download  | << Back | ||||
COURSES Fall 2007MATH 315 - Ordinary differential equationsWinter 2008MATH 263 - Linear algebra and differential equationsMATH 380 - Honours differential geometry RESEARCH INTERESTS
PUBLICATIONS (Click name to download in TeX format - see Download section below for further instructions and required style files, including vanilla.sty)Recent Journal Articles42. Calorons, Nahm's equations on $S^1$ and bundles over $P^1xP^1$, (with B. Charbonneau) math.DG/0610804, 33p.41. Separation of Variables and the Geometry of Jacobians, SIGMA 3 (2007), 017, 14 pages; math-ph/0702032 40. Group-valued Implosion and Parabolic Structures (with Lisa Jeffrey, Reyer Sjamaar) Amer. J. Math. 128 (2006), no. 1, 167--214 39. Moduli of framed parabolic sheaves(with Lisa Jeffrey, Reyer Sjamaar), Ann. Global Anal. Geom. 28 (2005), no. 4, 351--370. 38. The geometry of the Calogero-Moser system (with T. Nevins), Ann. Inst. Fourier (Grenoble) 55 (2005), no. 6, 2091--2116. 37. Elliptic Sklyanin integrable systems for arbitrary reductive groups (with E. Markman) Adv. Theor. Math. Phys. 6 (2002), no. 5, 873--978 math.AG/0203031 36. Surfaces and the Sklyanin bracket (with E. Markman) Commun. Math. Phys. 230, 485-502 (2002) math.AG/0107010 35. Calogero-Moser systems and Hitchin systems (with E. Markman) Commun. Math. Phys 223, 533-552 (2001). AG/9912161 34. Stability theorems for spaces of rational curves (with C.P. Boyer and R.J. Milgram), Int'l Journal of Mathematics 12No.2 (2001), 223 - 262. AG/990309 33. Representations with Weighted Frames and Framed Parabolic Bundles (with Lisa Jeffrey) Canad. J. Math. 52 (2000), no. 6, 1235--1268. SG/9906026 SG/9906026 32. Darboux coordinates, generalised Hitchin systems and the classical r-matrices. (with Mounia Kjiri) Commun. Math. Phys., 210 (2000) 2, 521-540 31. Particles and connections on a four-manifold, Commun. Anal. Geom., 7 (1999), 55-93. 30. Rank 2 integrable systems of Prym varieties (with E. Markman), Adv. Theo. Math. Phys.,2 (1998), 633-695. 29. The algebraic geometry of the Kostant-Kirillov form, J. Lond. Math.Soc. (2) 56 (1997), 504-518. 28. Darboux coordinates on coadjoint orbits in Lie algebras, (with M. Adams and J. Harnad) Lett. Math.Phys. 40 (1997), 41-57 27. Integrable systems and algebraic surfaces, Duke Mathematical Journal 83, 19-50 (1996); Erratum, 84, 815 (1996) 26. Holomorphic maps of a Riemann surface into a flag manifold, J. Diff. Geom. 43, 99-118 (1996) 25. The Atiyah-Jones conjecture for ruled surfaces, (with R.J. Milgram) J. fur die Reine und Ang. Math. 466, 111-143 (1995) 24. Configurations de particules et espaces de modules, Can. Math. Bulletin 38, 66-79 (1995) 23. The topology of the space of rational maps into generalized flag manifolds (with C.P. Boyer, B.M. Mann and R.J. Milgram) Acta Mathematica 173, 61-101 (1994). 22. Finite Dimensional Coadjoint Orbits in a Loop Algebra Lett. Math. Phys. 30, 99-104 (1994) 21. Darboux coordinates and Liouville-Arnold integration in loop algebras (with M. Adams and J. Harnad) Commun. Math. Phys. 155, 385-413 (1993) 20. Quantification de la cohomologie des algèbres de Lie de champs de vecteurs et fibrés en droites sur des surfaces algébriques complexes (with A. Gonzalo-Lopez, N.Kamran and Peter Olver) C. R.Acad.Sci. Paris.,t.316, S6rie 1, ppl3O7-1312 (1993). 19. The topology of instanton moduli spaces. 1: The Atiyah-Jones conjecture (with C.P. Boyer, B.M. Mann and R.J. Milgram), Annals of Math., 137, 561-609 (1993) 18. The Atiyah-Jones conjecture (with C.P. Boyer, B.M. Mann and R.J. Milgram), Bull. AMS. 26, 317-321 (1992) Book Chapters3. Stability Theorems for Moduli Spaces. CMS-SMC 50th Anniversary volume 3, Invited Papers, ppl53172, 1997 2. Liouville Generating Functions for Isospectral Flow in Loop Algebras, (with M. Adams and J. Harnad) in "Integrable and Superintegrable Systems , ed. B. Kuperschmidt, World Scientific, Singapore, 1990. 1. Russian translations of articles in "Monopoles, Topological and Variational Methods", MIR, Moscow, 1989. AWARDS
GRADUATE STUDENTS Masters theses supervised 1. F. Renaud (1985) Linéarisation de champs de vecteurs. 2. F. Beaudet (1986) Harmonicité et invariants. 3. D. Labrecque (1987) Régularité des solutions de problèmes variationnels. 4. S. New (1990), Hamiltonian systems and loop groups applied to equations of KdV type. 5. C. Anand (1990), Harmonic maps. 6. M. Mizerski
(joint) (2000), Singularities of Schubert Varieties Doctoral theses supervised. 1. R.Bielawski (1993; professor at Leeds) Monopole metrics and rational functions. 2. C. Anand (1994; professor at McMaster), On the construction of Unitons. 3. S. New (1997; lecturer at the University of Waterloo)) Deformations of vector bundles over the Riemann sphere. 4. F. Jetzer (1999; professor at Collége Militaire de St.Jean) " Integrable Hamiltonian Systems on Supermanifolds' 5. M. Kjiri
(2000) "Systèmes de Hitchin généralisés
et variétés symplectiques" (Université
de Montréal) 6. R. Moraru (2000; Professor at U. Waterloo) ``Moduli of
vector bundles over a Hopf surface, and their stability properties. Post-Doctoral students supervised (*= joint supervision) Arleigh Crawford (1992-94) C. Anand (1994-95),
K. Guruprasad (1994-95), D. Nguyen (1994-96), A. Wisse (1994-95), E. Markman
(1995-96), S. Kallel (1994-97), A. Lebel (1996-98),
B. Anchouche (1998-00),
M. Bertola (*)(00-02), Masters students under current supervision. S. Miscione Doctoral students under current supervision. M. Wong DOWNLOAD Most of the documents available for download on this page are in TeX format.
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