Richard Weiss

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

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

Princeton University Press, 2006

The Structure of Affine Buildings

in preparation

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. Cambridge Phil. Soc., to appear.