Michelle Chu

Research

My papers are available in the arxiv here.

• (with P. Murillo, O. Romero, L. Thompson) Countin Salem numbers arising from arithmetic hyperbolic manifolds (coming soon)
• (with I. Bailly-Hall, K. Dovgodko, A. Ganguly, J. Kang, J. Sun) Two-brige knot epimorphisms and intersections in the character variety (coming soon)
• (with E. Chesebro, J. DeBlois, N. Hoffman, P. Mondal, G. Walsh) Mixed-platonic 3-manifolds [arxiv]
• (with A. Reid) Totally geodesic hyperbolic 3-manifolds in hyperbolic complements of tori in S⁴. [arxiv] [journal]
• (with D. Groves) Prescribed virtual homological torsion of 3-manifolds. (to appear in JIMJ). [arxiv] [journal]
• (with A. Reid) Embedding closed hyperbolic 3-manifolds in small volume hyperbolic 4-manifolds. Algebr. Geom. Topol. 21, 5 (2021). [arxiv] [journal]
• (with A. Kolpakov) A hyperbolic counterpart to Rokhlin's cobordism theorem. Int. Math. Res. Not. 2022, 4 (2022). [arxiv] [journal]
• Virtually special embeddings of integral Lorentzian lattices. Characters in low-dimensional topology, CRM, Contemp. Math. [arxiv]
• (with S. Tillmann) Reflections on trisection genus. Rev. Roumaine Math. Pures Appl. 64, 4 (2019). (Proceedings of JARCS 2017). [arxiv] [journal]
• Special subgroups of Bianchi groups. Groups Geom. Dyn. 14, 1 (2020). [arxiv] [journal]
• Essential surfaces and intersections in the character variety. Algebr. Geom. Topol. 17, 5 (2017). [arxiv] [journal]
• (with H. Li)Small generators of Arithmetic Fuchsian groups. Proc. Amer. Math. Soc. 144, 12 (2016). [arxiv] [journal]
• (with C. Adams, T. Crawford, S. Jensen, K. Siegel, L. Zhang) Stick index of knots and links in the cubic lattice. J. Knot Theory Ramifications 21, 5 (2012). [arxiv] [journal]

• PhD Thesis: Quantifying virtual properties of Bianchi groups. (2018) (supervised by Alan W. Reid at the University of Texas at Austin)
• Undergraduate Thesis: Hyperbolic 3-Manifolds as Discretized Configuration Spaces of Simple Graphs. (2011) (supervised by Aaron Abrams at Emory University)

Teaching

I am not teaching during Spring 2025.

About Me

I am an Assistant Professor and McKnight Land-Grant Professor at the University of Minnesota – Twin Cities. Prior to UMN, I was an NSF Postdoc at the University of Illinois at Chicago and the University of California Santa Barbara. I completed my PhD at UT Austin in 2018, supervised by Alan W. Reid.

PhD students: Tori Braun

Young Geometric Group Theory XIII
Mathematics Project at Minnesota

email: mchu[at]umn.edu
office: Vincent Hall 253

I am partially supported by NSF DMS-2243188. The views and opinions expressed in this page are strictly my own. The contents of this page have not been reviewed by the NSF or the University of Minnesota.