Preprints:

• Toeplitz quotient C*-algebras and ratio limits for random walks.
• Finite dimensional approximations and semigroup coactions for operator algebras, with Raphaël Clouâtre.
• C*-envelopes for operator algebras with a coaction and co-universal algebras for product systems, with Evgenios Kakariadis, Elias Katsoulis, Marcelo Laca and Xin Li.
• Shift equivalence through the lens of Cuntz-Krieger algebras, with Toke Meier Carlsen and Søren Eilers.

Publications:

• Doob equivalence and non-commutative peaking for Markov chains, with Xinxin Chen, Langwen Hui, Christopher Linden and Yifan Zhang. Accepted to Journal of Noncommutative Geometry.
• Operator algebras for higher rank analysis and their application to factorial languages, with Evgenios Kakariadis. Accepted to Journal d’Analyse Mathematique.
• All finite transitive graphs admit self-adjoint free semigroupoid algebras, with Christopher Linden. Proc. Roy. Soc. Edinburgh. 151 (2021), no. 1. Available here.
• Classification of irreversible and reversible Pimsner operator algebras, with Søren Eilers and Shirly Geffen. Compositio Mathematica, 156 (2021), no. 12. Available here.
• Tensor algebras of product systems and their C*-envelopes, with Elias Katsoulis. Journal of Functional Analysis, 278 (2020), no. 7. Available here.
• Structure of free semigroupoid algebras, with Ken Davidson and Boyu Li. Journal of Functional Analysis, 277 (2019), no. 9. Available here.
• Full Cuntz-Krieger dilations via non-commutative boundaries, with Guy Salomon. J. London Math. Soc. 98 (2018), no. 2. Available here.
• Isomorphisms of tensor algebras arising from weighted partial systems. Trans. Amer. Math. Soc. 370 (2018). Available here.
• C*-envelopes of tensor algebras arising from stochastic matrices, with Daniel Markiewicz. Integral Equations and Operator Theory, 88 (2017), no. 2. Available here.
• Dilations, inclusions of matrix convex sets, and completely positive maps, with Kenneth Davidson, Orr Shalit and Baruch Solel. IMRN (2017), no. 13. Available here.
• Operator algebras and subproduct systems arising from stochastic matrices, with Daniel Markiewicz. Journal of Functional Analysis, 267 (2014), no. 4. Available here.