- (with G. Le, K. Schreve)
*Action dimensions of some simple complexes of groups,*arXiv:1803.04095v1 - (with J. Huang)
*Determining the action dimension of an Artin group by using its complex of abelian subgroup*, Bull. London. Math. Soc. (2017) pdf arXiv:1608.03572 , published.

- (with P. Kropholler)
*Criteria for asphericity of polyhedral products: corrigenda to ``Right-angularity, flag complexes, asphericity''*, Geom. Dedicata**179**(2015) 39--44. pdf, arXiv:1102.4670, published.

- (with G. Avramidi, B. Okun, K. Schreve)
*The action dimension of right-angled Artin groups*, Bull. London Math. Soc.**48**(1) (2016), 115--126. pdf, arXiv: 1409.6325, published

- (with A. Edmonds)
*Euler characteristics of generalized Haken manifolds*, Alg. & Geom. Topology**14**(2014), 3701--3716. pdf, arXiv: 1402.7096, published

*When are two Coxeter orbifolds diffeomorphic?*Mich. Math. J.**63**(2014), 401--421. pdf, arXiv:1306.6046, published

*The geometry and topology of Coxeter groups*, in*Introduction to Modern Mathematics, ALM***33**, Higher Education Press, Beijing--Boston, 2015, pp. 145--158 pdf

- (with J. Fowler and J. Lafont)
*Aspherical manifolds that cannot be triangulated*, Alg. & Geom. Topology**14**(2014), 795--803. pdf, arXiv:13043730, published

- (with M. Kahle)
*Random graph products of finite groups are rational duality groups*, J. of Topology**7**(2014), 589--606. pdf, arXiv, published

- (with S. Settepanella)
*Vanishing results for the cohomology of complex toric hyperplane complements*, Pub. Mat.**57**(2013), 379--392. pdf, arXiv:1111.2866, published

*Right angularity, flag complexes, asphericity*, Geom. Dedicata 159 (2012), 239--262. pdf, arXiv, published

*The Euler characteristic of a polyhedral product*, Geom. Dedicata 159 (2012), 263--266. pdf, arXiv, published

- (with T. Januszkiewicz and J. Lafont)
*4-dimensional locally CAT(0)-manifolds with no Riemannian smoothings*, Duke Math. J., 161 (2012), 1--28. pdf, arXiv, published

- (with B. Okun)
*Cohomology computations for Artin groups, Bestvina-Brady groups and graph products*, Groups Geom. Dyn. 6 (2012) 485--531. pdf, arXiv, final version

- (with T. Januszkiewicz, I.J. Leary and B. Okun)
*Cohomology of hyperplane complements with group ring coefficients*, IMRN (2011), 2110--2116. pdf, arXiv

*Examples of buildings constructed via covering spaces*, Groups, Geom. Dyn. 3 (2009), 279-298. pdf

*Lectures on orbifolds and reflection groups*, Transformation Groups and Moduli Spaces of Curves (eds, L. Ji, S-T Yau) International Press, 2010, pp. 63--93. pdf

- (with J. Dymara, T. Januszkiewicz, J. Meier and B. Okun)
*Compactly supported cohomology of buildings*, Comment. Math. Helv. 85 (2010), 551--582. pdf, arXiv

*The Hopf Conjecture and the Singer Conjecture*, Guido's Book of Conjectures (ed. I. Chatterji) Monographie de L'Enseignement Math. 40 (2008), pp. 80-82. pdf

- (with T. Januszkiewicz and I. Leary)
*The L*^{2}*-cohomology of hyperlane complements*, Groups Geom. Dyn. 1 (2007) 301--309. pdf, arXiv

- (with J. Dymara, T. Januszkiewicz and B. Okun)
*Cohomology of Coxeter groups with group ring coefficients: II*, Algebraic & Geometric Topology 6 (2006), 1289-1318. pdf, arXiv

- (with J. Dymara, T. Januszkiewicz and B. Okun)
*Weighted L*^{2}*-cohomology of Coxeter groups*, Geometry & Topology 11 (2007), 47-138. pdf, arXiv

- (with J. Meier)
*Reflection groups and CAT(0) complexes with exotic local structures*, High-dimensional Manifold Topology (eds. F.T. Farrell and W. Luck),World Scientific, New Jersey, 2003, 151-158. pdf ps

- (with B. Okun)
*L*^{2}*-homology of right-angled Coxeter groups associated to barycentric subdivisions*, Topology and Its Applications 140 (2004), 197-202. pdf ps

- (with I. Leary)
*Some examples of discrete group actions on aspherical manifolds*, High-dimensional Manifold Topology (eds. F.T. Farrell and W. Luck),World Scientific, New Jersey, 2003, 139-150. pdf

- (with I. Leary)
*L*^{2}*-cohomology of Artin groups*, J. London Math. Soc. 68 (2003), 493--510. pdf, published

- (with T. Januszkiewicz and R. Scott)
*Fundamental groups of blow-ups*, Advances in Math. 177 (2003), 115-179. pdf ps arXiv

- (with J. Meier)
*The topology at infinity of Coxeter groups and buildings,*Comment. Math. Helv. 77 (2002), 746-766. pdf, Correction. pdf

*Exotic aspherical manifolds*, School on High-dimensional Manifold Topology, ICTP, Trieste 2002. pdf*Nonpositive curvature and reflection groups*, in The Handbook of Geometric Topology, eds. R. Daverman and R. Sher), Elsevier, Amsterdam, 2002, 373-422. pdf ps

- (with T. Januszkiewicz and S. Weinberger)
*Relative hyperbolization and aspherical bordisms, an addendum to “Hyperbolization of Polyhedra,”*J. of Differential Geometry 58 (2001), 535-541. pdf

- (with B. Okun)
*Vanishing theorems and conjectures for the L*^{2}*-homology of the right-angled Coxeter groups,*Geometry & Topology 5 (2001), 7-74. pdf ps arXiv

- (with R. Charney)
*When is a Coxeter system determined by its Coxeter group?*J. London Math. Soc. 61 (2000), 441--461. pdf - (with T. Januszkiewicz)
*Right-angled Artin groups are commensurable with right-angled Coxeter groups*, J. of Pure and Applied Algebra 153 (2000), 229-235. pdf *Poincaré duality groups*, in Surveys in Surgery Theory, Volume 1 (eds. S. Cappell, A. Ranicki, J. Rosenberg) Annals of Math. Studies, 145, Princeton University Press, Princeton, 2000, 167-193. pdf- (with B. Okun and F. Zheng)
*Piecewise Euclidean structures and Eberlein’s Rigidity Theorem in the singular case*, Geometry and Topology 3 (1999), 303-330. pdf arXiv

- (with G. Moussong)
*Notes on nonpositively curved polyhedra*, in Low Dimensional Topology (eds. K. Boroczky, W. Neumann, A. Stipicz), Bolyai

Society Math. Studies 8, Janos Bolyai Math. Soc., Budapest, 1999, 11-94. pdf ps

*Buildings are CAT(0)*, Geometry and Cohomology in Group Theory (eds P. Kropholler and R. Stohr) London Math. Soc. Lecture Notes 252, Cambridge Univ. Press (1998), 108-123. pdf*The cohomology of a Coxeter group with group ring coefficients*, Duke Math. J. 91 (1998), 297-313. pdf- (with T. Januszkiewicz and R. Scott)
*Nonpositive curvature of blow-ups*, Selecta Math. New series 4 (1998), 491--547. pdf ps selecta.pdf

- (with F.D. Ancel and C.R. Guilbault)
*CAT(0) reflection manifolds*, AMS/IP Studies in Advanced Math. 2 (1997), 441--445. pdf

- (with R. Charney and G. Moussong)
*Nonpositively curved piecewise Euclidean structures on hyperbolic manifolds*, Michigan Math. J. 44 (1997), 201-208. dvi ps pdf

- (with R. Charney)
*Finite K(\pi,1)'s for Artin groups*, in Prospects in Topology, ed. by F. Quinn, Annals of Math Studies 138, Princeton Univ. Press (1995), 110-124. dvi ps pdf - (with R. Charney)
*The polar dual of a convex polyhedral set in hyperbolic space*, Michigan Math. J. 42 (1995), 479-509. dvi ps pdf published Correction, 43 (1996), 619. pdf

- (with R. Charney)
*The K(\pi,1)-problem for hyperplane complements associated to infinite reflection groups,*J. of AMS 8 (1995), 597-627. dvi ps pdf pdf from JSTOR

- (with R. Charney)
*On the Euler characteristic of a nonpositively curved piecewise Euclidean manifold*, Pacific J. of Math. 171 (1995), 117-137. dvi ps pdf

- (with R. Charney)
*Strict hyperbolization*, Topology 34 (1995), 329--350. pdf

- (with R. Charney)
*Singular metrics of nonpositive curvature on branched covers of Riemannian manifolds*, Amer. J. Math. 115 (1993), 929-1009. pdf (from JSTOR) - (with R. Charney)
*Reciprocity of growth functions of Coxeter groups*, Geom. Dedicata 39 (1991), 373-378. pdf

- (with M. Shapiro)
*Coxeter groups are almost convex*, Geom. Dedicata 39 (1991), 55-57. pdf - (with T. Januszkiewicz)
*Hyperbolization of polyhedra*, J. Diff. Geom. 34 (1991), 347--388. pdf

- (with T. Januszkiewicz)
*Convex polytopes, Coxeter orbifolds and torus actions*, Duke Math. Journal, 62, (1991), 417--451. pdf (3.8 MB)

- (with J-C. Hausmann)
*Aspherical manifolds without smooth or PL structure*, Springer Lecture Notes in Math. 1370, (1989), 135--142. pdf *Regular convex cell complexes*, in Geometry and Topology, Marcel Dekker (1987), 53-88. pdf (2.6 MB)*The homology of a space on which a reflection group acts*, Duke Math. Journal 55, (1987), 97--104. pdf Erratum 56 (1988), 221. pdf

*Some aspherical manifolds*, Duke Math. Journal 55, (1987), 105--139. pdf (3.1 MB)

*A hyperbolic 4-manifold*, Proc. of AMS 93 (1985), 325-328. pdf (from JSTOR), pdf (what should have been published)

*Coxeter groups and aspherical manifolds*, Springer Lecture Notes in Math. 1051 (1984) 197--221. pdf- (with J. Morgan)
*Finite group actions on homotopy 3-spheres*, in The Smith Conjecture, Academic Press (1984), 181--225. pdf (5.2 MB) *A survey of results in higher dimensions*, ibid, 227--240. pdf (1.7 MB)

*Groups generated by reflections and aspherical manifolds not covered by Euclidean space*, Ann. of Math. 117 (1983), 293-324. pdf (from JSTOR)*Some group actions on homotopy spheres of dimension seven and fifteen*, Amer. J. Math. 104 (1982), 59-90. pdf (from JSTOR)*Universal G-manifolds*, Amer. J. Math. 103 (1981), 103-141. pdf (from JSTOR)- (with W.C. Hsiang and J. Morgan)
*Concordance classes of regular O(n) actions on homotopy spheres*, Acta Math. 144 (1980), 153--221. pdf (6.3 MB)

- (with W.C. Hsiang and W.Y. Hsiang)
*Differentiable actions of compact simple groups on homotopy spheres and Euclidean spaces*, in Symposia in Pure Math. 32, AMS (1978) 313--323. pdf (1.1 MB)

*Smooth G-manifolds as collections of fiber bundles*, Pac. Jour. of Math. 77, No. 2, (1978), 315-363. pdf

- (with W.C. Hsiang)
*Concordance classes of regular U(n) and Sp(n) actions on homotopy spheres*, Ann. of Math. 105 (1977), 325-341. pdf (from JSTOR) *Smooth actions of the classical groups*, Princeton University PhD thesis, 1974. pdf (16.4 MB)

*Examples of actions on manifolds almost diffeomorphic to V*_{n+1,2 },_{ }Springer Lecture Notes in Math. 298 (1972), 301--317. pdf*Group actions on exotic Stiefel manifolds*, Princeton University senior thesis, 1971. pdf (5.6 MB)

The Geometry and Topology of Coxeter Groups, London Math. Soc. Monograph Series 32, Princeton University Press, Princeton, 2007. pdf

Abstracts (Oberwolfach reports): a) Weighted L

Book Review: Combinatorics of Coxeter Groups (by Bjorner and Brenti) Bulletin of the AMS, 45 (2008), 445-449. pdf

Gabor Moussong's thesis: Hyperbolic Coxeter Groups, OSU, 1988. pdf

Igor Iskhakov's thesis: On hyperbolic surface tessellations and equivariant spacelike polyhedral surfaces in Minkowski space, OSU, 2000. pdf

Dan Boros' thesis: L

Dongwen Qi's thesis: On irreducible, infinite, non-affine Coxeter groups, OSU, 2007. pdf or Ohio Link

(with M. Shapiro)