craigg@uwm.eduEng & Math Sciences E471Curriculum VitaeCourse & Program Coordinators, Department Chairs, Faculty, Topology Research Group

Professor, Department Chair

Mathematical Sciences - General

- PhD University of Tennessee, Knoxville, 1988
- BS, Northland College, Ashland, Wisconsin, 1982

- Geometric Topology
- Geometric Group Theory

- Co-organizer of UWM Topology Seminars
- Co-organizer of Annual Workshop in Geometric Topology (1991 – Present)
- Editor of the journal
*Topology Proceedings* - Member of the
*Steering Committee for the Spring Topology and Dynamics Conference*

Guilbault, Craig R., Healy, Brendan B., and Pietsch, Brian. “Group boundaries for semidirect products with Z.” *Groups, Geometry, and Dynamics* to appear. 49 pages.

Guilbault, Craig R., and Moran, Molly A. “Coarse Z-boundaries for groups.” *Michigan Mathematical Journal* to appear. 25 pages.

Guilbault, Craig R., Calcut, Jack S., and Haggerty, Patrick V. “Extreme nonuniqueness of end-sum.” *Journal of Topology and Analysis* 14 (2022), no. 2.2 (2022): 461-503.

Guilbault, Craig R., Moran, Molly A., and Schreve, Kevin. “Compressible spaces and EZ-structures.” *Fundamenta Mathematicae* 256.1 (2022): 47-75.

Guilbault, Craig R., and Gu, Shijie. “Compactifications of manifolds with boundary.” *Journal of Topology and Analysis* 12.4 (2020): 1073-1101.

Guilbault, Craig R., Geoghegan, Ross, and Mihalik, Michael. “Topological properties of spaces admitting a coaxial homeomorphism.” *Algebraic & Geometric Topology* 20. (2020): 601-642.

Guilbault, Craig R., Geoghegan, Ross, and Mihalik, Michael. “Non co-compact group actions and pi_1-semistability at infinity.” *Canadian Journal of Mathematics* 72.5 (2020): 1275-1303.

Guilbault, Craig R., Moran, Molly A., and . “Proper homotopy types and Z-boundaries of spaces admitting geometric group actions.” *Expositiones Mathematicae* 37.3 (2019): 292-313.

Guilbault, Craig R., Moran, Molly, and Tirel, Carrie. “Boundaries of Baumslag-Solitar Groups.” *Algebraic & Geometric Topology* 19.4 (2019): 2077-2097.

Guilbault, Craig R., and Tinsley, Frederick C. “Manifolds that are inward tame at infinity.” *Pacific Journal of Mathmatics* 288.1 (2017): 87-128.

Guilbault, Craig R. “Ends, shapes and boundaries in manifold topology and geometric group theory.” *"Topology and Geometric Group Theory"* 184. Ed. Lafont, Jean-Francois, Leary, Ian J., Davis, Michael W., and Fowler, James. Proceedings in Mathematics & Statistics (Springer), (2016): 45-125.

Guilbault, Craig R., and Mooney, C. P. “Boundaries of Croke–Kleiner-admissible groups and equivariant cell-like equivalence.” *Journal of Topology* 7. (2014): 849-868.

Guilbault, Craig R. “Weak Z-structures for some classes of groups.” *Algebraic & Geometric Topology* 14. (2014): 1123-1152.

Geoghegan, R., and Guilbault, Craig R. “Topological properties of spaces admitting free group actions.” *Journal of Topology* 5. (2012): 249-275.

Guilbault, Craig R. “A solution to de Groot's absolute cone conjecture.” *Topology* 46. (2007): 89-102.

Guilbault, Craig R., and Tinsley, F. C. “Manifolds with non-stable fundamental groups at infinity, III.” *Geometry & Topology* 10. (2006): 541-556.

Guilbault, Craig R., and Tinsley, F. “Manifolds with non-stable fundamental groups at infinity, II.” *Geometry & Topology* 7. (2003): 255-286.

Guilbault, Craig R. “A non-Z-compactifiable polyhedron whose product with the Hilbert cube is Z-compactifiable.” *Fund. Math.* 168. (2001): 165-197.

Guilbault, Craig R. “Manifolds with non-stable fundamental groups at infinity.” *Geometry & Topology* 4. (2000): 537-579.

Ancel, Fredric D., and Guilbault, Craig R. “Z-compactifications of open manifolds.” *Topology* 38. (1999): 1265-1280.

Guilbault, Craig R., and Ancel, Fredric D. “Interiors of compact contractible n-manifolds are hyperbolic(n ≥ 5).” *J. Differential Geometry* 45. (1997): 1-32.

Guilbault, Craig R. “Some compact contractible manifolds containing disjoint spines.” *Topology* 34. (1995): 99-108.