Curriculum Vitae

Positions Held: 

Regualr Part-Time Professor, 2021 – present
University of Ottawa

Postdoctoral Researcher, 2018 – 2021
University of Ottawa; Supervisors: Thierry Giordano and Aaron Tikuisis

Postdoctoral Researcher, 2016 – 2018
University of Münster; Supervisor: Wilhelm Winter

Education: 

Ph.D. in Mathematics, 2016
Pennsylvania State University; Thesis Advisor: Nathanial P. Brown

Publications:

  • C. Bönicke, S. Chakraborty, Z. He, and H-C. Liao. Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL(2,Z). J. Funct. Anal. 275 (2018), no. 11, 3208–3243. [arxiv]
  • K. Li and H-C. Liao, Classification of uniform Roe algebras of locally finite groups. J. Operator Theory 80 (2018), no. 1, 25–46. [arxiv]
  • H-C. Liao,  Rokhlin dimension of \mathbb{Z}^m-actions on simple C*-algebras.  Internat. J. Math. 28 (2017) no.7 [arxiv]
  • H-C. Liao,  A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension.  J. Funct. Anal. 270 (2016), no. 10, 3675–3708. [arxiv]

In press:

  • (with C. Bönicke, S. Chakraborty, and Z. He) A note on crossed products of rotation algebras. To appear in J. Operator Theory. [arXiv:1905.12279]

Preprints:

  1. (with A. Tikuisis) Almost finiteness, comparison, and tracial Z-stability. Submitted [arXiv:2001.10107]

Selected Talks:

  • University of Louisiana at Lafayette, Mathematics Colloquium. February 20, 2020. Title: Equivalence relations and algebras of generalized matrices.
  • Topology and Measure in Dynamics and Operator Algebras, 5-day workshop at the Banff International Research Station (BIRS), September 9 – 13, 2019. Title: Small boundary property, uniform property Gamma, and almost finiteness. (Video)
  • COSy 2019. University of Regina. June 3 – 7, 2019. Title: Crossed products of rotation algebras.
  • GPOTS 2019. Texas A&M. May 27 – June 1, 2019. Title: Diagonal dimension of C*-pairs.
  • Workshop on Operator Algebras and its Application. Institute for Research in Fundamental Sciences (IPM). February 5-8, 2018. Title: Dimension theories in topology, coarse geometry, and C*-algebras.
  • YMC*A 2017. University of Copenhagen. August 10, 2017. Title: Uniform Roe algebras of locally finite groups. (Slides)
  • University of Aberdeen Operator Algebra Working Seminar. February 24, 2017. Title: Uniform Roe algebras of locally finite groups.
  • University of Glasgow Analysis Seminar. February 21, 2017. Title: Uniform Roe algebras of locally finite groups.
  • Structure and Classification of C*-algebras. IMPAN. November 22, 2016. Title: Rokhlin type properties and structure of crossed products.
  • ECOAS 2016. Loyola University Chicago. October 1, 2016. Title: Rokhlin type theorems for simple nuclear C*-algebras.
  • GPOTS 2016. University of Illiois at Urbana-Champaign. May 23, 2016. Title: Rokhlin dimension of mathbb{Z}^m-actions on simple C*-algebras.
  • Noncommutative dimension theories: connections and applications. University of Hawaii at Manoa. November 24, 2015. Title: A Rokhlin type theorem for automorphisms of simple C-algebras. (Slides)
  • Texas A&M Noncommutative Geometry Seminar. October 28, 2015. Title: A Rokhlin type theorem for automorphisms of simple C*-algebras.
  • Wabash Mini-Conference. IUPUI. September 12, 2015. Title: A Rokhlin type theorem for automorphisms of simple C*-algebras.
  • Purdue University Operator Algebra Seminar. September 10, 2015. Title: A Rokhlin type theorem for automorphisms of simple C*-algebras.
  • Miami University Functional Analysis Seminar. September 8, 2015. Title: Non-commutative Rokhlin’s lemma in W*- and C*-Algebras.
  • COSy 2015. University of Waterloo. June 15, 2015. Title: A Rokhlin type theorem for automorphisms of simple C*-algebras. (Slides)

Honors and Awards:

Pritchard Dissertation Fellowship, 2015, Pennsylvania State University
In recognition of high quality thesis work