# Vasileios Chousionis

Associate Professor

**Research:** Geometric Measure Theory, Harmonic Analysis, Dynamical Systems

**Selected Publications:**

- The dimension spectrum of graph directed Markov systems (with D. Leykekhman and M. Urbanski)
**Selecta Math.**to appear. - Intrinsic graphs and vertical beta numbers in the Heisenberg group. (with T. Orponen and K. Fassler)
**Amer. J. Math.**to appear. - Conformal Graph Directed Markov Systems on Carnot groups. (with J. T. Tyson and M. Urbanski)
**Mem. Amer. Math. Soc.**to appear. - Square functions and uniform rectifiability. (with J. Garnett, T. Le and X. Tolsa)

**Trans. Math. Amer. Soc.**368 (2016), no. 8, 6063–6102. - Removable sets for Lipschitz harmonic functions on Carnot groups. (with V. Magnani and J. T. Tyson)
**Calc. Var. PDE.**no. 3-4 (2015) 755–780. - Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups. (with P. Mattila)
**J. Reine Angew. Math.**691 (2014), 29–60.

vasileios.chousionis@uconn.edu | |

Phone | 860-486-8391 |

Office Location | MONT 325 |

Office Hours | Tuesday and Thursday 11:00am-12:00pm |

Link | http://www.math.uconn.edu/~chousionis/ |