Craig Guilbault

Mathematical Sciences - General

Web: Personal Website

Educational Degrees

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

Research Interests

  • Geometric Topology
  • Geometric Group Theory

Selected Service and Projects

  • 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

Selected Publications

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 73.4 (2023): 693-718.
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.