Richard M. Weiss


Office: Bromfield-Pearson Building, Room 116
Phone: 1-617-627-3802

Other websites:
http://ase.tufts.edu/faculty-guide/fac/rweiss.math.htm

Research Interests

Group theory, especially buildings and other geometric aspects of group theory.

Books

Moufang Polygons (co-author: J. Tits)
Springer-Verlag, 2002
The Structure of Spherical Buildings
Princeton University Press, 2004
Quadrangular Algebras
Lecture Notes in Mathematics, Princeton University Press, 2006
The Structure of Affine Buildings
Annals of Mathematics Studies, Princeton University Press, 2008.

Selected Publications

Elations of graphs
Acta Math. Acad. Sci Hungar. 34, pp. 101-103 (1979)
Groups with a $(B,N)$-Pair and Locally Transitive Graphs
Nagoya J. Math. 74, pp. 1-21 (1979)
The Nonexistence of Certain Moufang Polygons
Inventiones Math. 51, pp. 261-266 (1979)
The Nonexistence of 8-transitive Graphs
Combinatorica 1, pp.309-311 (1981)
A Geometric Construction of Janko's Group $J_3$
Math. Z. 179, pp. 91-95 (1982)
A Uniqueness Lemma for Groups Generated by 3-transpositions
Math. Proc. Cambridge Phil. Soc. 97, pp. 421-431 (1985)
On Distance-Transitive Graphs
Bull. Math. Soc. 17, pp. 253-256 (1985)
Distance-Transitive Graphs and Generalized Polygons
Arch. Math. 45, pp186-192 (1985)
A Characterization of the Group $\hat M_{12}$
Algebras, Groups and Geometries 2, pp. 555-563 (1985)
A Characterization and Another Construction of Janko's Group $J_3$
Trans. Amer. Math. Soc. 298, pp. 621-633 (1986)
On a Theorem of Goldschmidt
Annals Math. 126, pp. 429-438 (1987)
Modified Steinberg Relations for the Group $J_4$ (co-author: G. Stroth)
Geom. Dedicata 25, pp. 513-525 (1988)
A New Construction of the Group $Ru$ (co-author: G. Stroth)
Quart. J. Math. Oxford 41, pp 237-243 (1990)
A Geometric Characterization of the Groups $Suz$ and $HS$ (co-author: S. Yoshiara)
J. Algebra 133, pp. 251-282 (1990)
Extended Generalized Hexagons
Math. Proc. Cambridge Phil. Soc. 108, pp. 7-19 (1990)
A Characterization of the Group $Co_3$ as a Transitive Extension of $HS$
Arch. Math. 56, pp. 209-213 (1991)
A Geometric Characterization of the Groups $McL$ and $Co_3$
J. London Math. Soc. 44, pp. 261-269 (1991)
A Geometric Characterization of the Groups $M_{12}$, $He$ and $Ru$
J. Math. Soc. Japan 43, pp 795-814 (1991)
A Characterization of the Groups $Fi_{22}$, $Fi_{23}$ and $Fi_{24}$ (Co-author: J. van Bon)
Forum Math. 4, pp. 425-432 (1992)
An Existence Lemma for Groups Generated by 3-transpositions (co-author: J. van Bon)
Inventiones Math. 109, pp. 519-534 (1992)
Graphs Which are Locally Grassmann
Math Annalen 297, pp. 325-334 (1993)
Moufang Trees and Generalized Triangles
Osaka J. Math. 32, pp. 987-1000 (1995)
Graphs with a Locally Linear Group of Automorphisms (co-author: V. I. Trofimov)
Math Proc. Cambridge Phil. Soc. 118, pp. 191-206 (1995)
Moufang Trees and Generalized Hexagons
Duke Math. J. 79, pp. 219-233 (1995)
Moufang Quadrangles of Type $E_6$ and $E_7$
J. reine u. angewandte Math. (Crelle) 590, pp. 189-226 (2006)
Moufang Sets and Jordan Division Algebras (co-author: Tom De Medts)
Math. Ann. 335, pp. 415-433 (2006)
On the action of the Hua group in special Moufang sets (co-author: Y. Segev)
Proc. Cambr. Phil. Soc. 144 (2008), 77-84.
Non-discrete Euclidean buildings for the Ree and Suzuki groups (co-authors Petra Hitzelberger and Linus Kramer)
Amer. J. Math., 132 (2010), 1113-1152.
The group $E_6(q)$ and graphs with a locally linear group of automorphisms. (co-author: V. I. Trofimov)
Math. Proc. Cambridge Phil. Soc. 148 (2010), 1-32.
On the existence of certain affine buildings of type E_6 and E_7
J. reine u. angewandte Math. (Crelle), to appear.
The norm of a Ree group (co-author: Tom De Medts )
Nagoya Math. J., 199 (2010), 15-41.
The Kneser-Tits conjecture for groups with Tits-index E_{8,2}^{66} over an arbitrary field (co-authors: R. Parimala and J.-P. Tignol)
Transform. Groups, to appear.
Receding polar regions of a spherical building and the center conjecture (co-author: B. Mühlherr),
Ann. Inst. Fourier, to appear.
Compact totally disconnected Moufang buildings (co-authors: Theo Grundhöfer, Linus Kramer and Hendrik Van Maldeghem),
Tohoku Math. J., to appear.