Mark Ronan's website
|
|
In
the pipeline
"A Local Approach
to Twin Buildings", preprint. Lectures on Buildings, in a new
edition, revised and updated, University of Chicago Press (to appear
2009). "Construction and Automorphisms of
Buildings", in: Essays in Geometric Group Theory (ed. N.S. Narasimha Sastry),
Ramanujan Mathematical Society Publications (to appear 2009) 125–143. Published "Buildings",
in The Princeton
Companion to Mathematics (ed. Tim
Gowers), Princeton Univ. Press. (2008) 161–162. "Lie
Theory", in The
Princeton Companion to Mathematics
(ed. Tim Gowers), Princeton Univ. Press. (2008) 229–234. "Quadrangular
Algebras by Richard M. Weiss" A review in the Bulletin of the Amer.
Math. Soc. 45 (2008) 315–319. Symmetry
and the Monster: one of the greatest quests in mathematics, Oxford University Press, 255
pages, hardback 2006, paperback 2007. "From Galois and Lie to Tits
Buildings", The Coxeter Legacy: Reflections and Projections (ed. C.
Davis and E.W. Ellers), Fields Inst. Publications volume 48, American Math. Soc. (2006),
45–62. "Topological groups of Kac-Moody type,
right-angled twinnings and their lattices" (with B. Rémy), Comment.
Math. Helv. 81
(2006), 191–219. "Modern Algebra", Encyclopedia
Britannica On-line
(2005). "Linear Algebra", Encyclopedia
Britannica On-line
(2005). "Multiple Trees", J. Algebra 271 (2004), 673–697. "Classification of Buildings", Finite
Groups 2003:
Proc. of Gainsville Conf. on Finite Groups, (ed. C.Y. Ho, P. Sin, P.H. Tiep, A.
Turull), de Gruyter, Berlin-New York 2004, 319-333. "Affine Twin Buildings", J. of
London Maths. Soc. 68
(2003), 461–476. "Twin Trees and Twin Buildings", in
Tits Buildings and the Model Theory of Groups, (ed. K. Tent), LMS Lecture Note Series 291,
119-137, Cambridge University Press, 2002. "Local Isometries of Twin
Buildings," Math. Zeitschrift 234 (2000), 435–455. "Twin Trees II: Local Structure and a
Universal Construction" (with J. Tits), Israel J. Math. 109 (1999), 349–377. "A characterization of twin buildings by
twin apartments" (with P. Abramenko), Geo. Ded. 73 (1998), 1–9. "Local to Global Structure of Twin
Buildings" (with B. Muehlherr), Inventiones Math. 122 (1995), 71–81. "Twin Trees I" (with J. Tits), Inventiones
Math. 116 (1994),
463–479. "Buildings and their applications, I.
Basic ideas", Bull. London Math. Soc. 24 (1992), 1–51. "Buildings and their applications, II.
Affine buildings and symmetric spaces", Bull. London Math. Soc. 24 (1992), 97–126. "Symmetry and the Monster", Interdisciplinary
Science Reviews 17
(1992), 56–62. "Classification and Construction of
Buildings", in Finite Geometries, Buildings, and Related Topics, (ed. W.M. Kantor), 1-15, Oxford
Univ. Press, 1990. Lectures on buildings, Perspectives in Mathematics 7,
Academic Press, 1989. "Computation of presheaf homology and
2-modular representations for A7, A8, and M24" (with S. D. Smith), Comm. Algebra 17 (1989), 1199–1237. "Duality for presheaves on chamber
systems, and a related chain complex", J. Algebra 121 (1989), 263–274. "Building buildings" (with J.
Tits), Math. Ann. 278 (1987), 291–306. "Embeddings and hyperplanes of discrete
geometries", Europ. J. Combin. 8 (1987), 179–185. "Universal presheaves on group
geometries and modular representations" (with S. D. Smith), J.
Algebra 102
(1986), 135–154. "A construction of buildings having no
rank 3 residues of spherical type", Proc. of 1984 C.I.M.E. conference
(Buildings and
Diagram Geometries),
Springer Lect. Notes 1181 (1986), 242–248. "Extending locally truncated buildings
and chamber systems", Proc. London Math Soc. 53 (1986), 385–406. "Buildings and sporadic groups", Contemp.
Math. 45 (1985),
295–301. "Sheaves on buildings and modular
representations of Chevalley groups" (with S. D. Smith), J. Algebra 96 (1985), 319–346. "Triangle geometries", J.
Combin. Theory 37
(1984), 294–319. "Minimal parabolic geometries for the
sporadic groups" (with G. Stroth), European J. Combin. 5 (1984), 59–91. "Embeddings of group geometries and
modular representations", Proc. of the Rutgers Group Theory Year
1983-84, Cambridge, 1984. "Locally truncated buildings and M24", Math. Z. 180 (1982), 489–501. "On the second homotopy group of certain
simplicial complexes and some combinatorial applications", Quart. J.
Math. Oxford 32
(1981), no. 2, 225–233. "On buildings and locally finite Tits
geometries" (with U. Ott), London Math. Soc. Lecture Notes 49 (1981), 272–274. "Coverings of certain finite geometries",
London Math. Soc. Lecture Note Ser. 49 (1981), 316–331. "A combinatorial characterization of the dual Moufang
hexagons", Geom. Dedicata 11 (1981), 61–67. "A geometric characterization of Moufang
hexagons", Invent. Math. 57 (1980), 227–262. "Semi-regular graph automorphisms and
generalized quadrangles", J. Combin. Theory Ser. A29 (1980), 319–328. "A note on the 3D4(q) generalized hexagons", J.
Combin. Theory Ser. A29 (1980), 249–250. "2-local geometries for some sporadic
groups" (with S. D. Smith), Proc. Symp. Pure Math. 37 (1980), 283–289. "Coverings and automorphisms of chamber
systems", European J. Combin. 1 (1980), 259–269. |
|