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Dr. B.C. Gilligan;
Professor, Ph.D. 1972 University of Toronto, M.Sc. 1966 University of Toronto, A.B. 1965 Princeton University
Primary Field of Research:
Symmetries in complex analysis:
We are currently working on the following, all of which involve the study of the symmetries of complex manifolds under additional assumptions.
Secondary Field of Research:
Family History of the PEADS; particularly, in England
Selected Publications:
Otto Forster, Lectures on Riemann Surfaces.
Translated from the 1977 German original by Bruce Gilligan. Reprint of the 1981 English translation.
Graduate Texts in Mathematics, 81. Springer-Verlag, New York, 1991.
B. Gilligan, Structure of complex homogeneous
spaces with respect to topological invariants, 75 pp., Heft Nr. 218,
Schriftenreihe,
Forschungsschwerpunkt Komplexe Mannigfaltigkeiten, Bochum,
1994.
B. Gilligan, Complex homogeneous spaces of real groups with top homology in codimension two, Ann. Global Anal. Geom. 13 (1995), 303-314.
B. Gilligan and P. Heinzner, Globalization of holomorphic actions on principal bundles, Math. Nachr. 189 (1998), 145-156.
B. Gilligan, Invariant analytic hypersurfaces in complex Lie groups, Bull. Austral. Math. Soc. 70 (2004), 343 - 349.
B. Gilligan, An obstruction to homogeneous manifolds being Kaehler, Ann. Inst. Fourier, Grenoble, 55 (2005), 229 - 241.
B. Gilligan and K. Oeljeklaus, Two Remarks on Kahler Homogeneous Manifolds, Annales Fac. Sci. Toulouse, vol. 17, No. 1, (2008) 73-80.
Symmetries in Complex Analysis,
editors: Bruce Gilligan and Guy Roos;
Workshop "Several complex variables, analysis on complex Lie groups
and homogeneous spaces", Zhejiang University, Hangzhou (P.R. China),
Oct. 17-29, 2005, CONM, A.M.S., vol. 468 (2008).
B. Gilligan and A.T. Huckleberry, Fibrations and
Globalizations of Compact Homogeneous CR-Manifolds, Izvestiya: Mathematics, 73:3,
(2009) 501 - 553.
This file can be downloaded from Arxiv.
B. Gilligan and K. Oeljeklaus, Compact CR-solvmanifolds
as Kaehler obstructions, 15 pp ms., Mathematische Zeitschrift, 269 (2011), 179 - 191.
This file can be downloaded from here.
Bruce Gilligan, Christian Miebach,
and Karl Oeljeklaus, Homogeneous Kaehler
and Hamiltonian manifolds,
Math. Ann., vol. 349 (2011), 889 -- 901.
This file can be downloaded from here.
See also arxiv:1001.1209
Bruce Gilligan, Christian Miebach,
and Karl Oeljeklaus, Pseudoconvex domains spread over
complex homogeneous manifolds,
to appear.
This file can be downloaded from here.
See also arxiv:1204:1163
Student Supervision:
Research Funding:
Our research is partially supported by an NSERC Discovery Grant
Other Professional Activities:
Reviewer for Mathematical Reviews
Reviewer for Zentralblatt für Mathematik und ihre Grenzgebieten
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email: gilligan[at]math[dot]uregina[dot]ca
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Courses for next Semester:
TBA
Office Hours during the 201220 and 201230 Semester
by appointment only - please email me
Some Background:
An interesting site containing a wealth of information,
including a lot of history of mathematics,
has URL:
http://www-groups.dcs.st-and.ac.uk/~history/index.html
This is not required,
as part of any course, to be read by the students. But it does illustrate how
mathematicians have struggled with various ideas over the centuries
and sometimes
it took several years, and the work of several different people, in order to develop
most topics which are now a part of what we call modern mathematics.
Latest update of this webpage was on 30 April 2012