Preprints

• F. Arici, Y. Ge and D. M. Gerontogiannis; The Geometric Arveson-Douglas Conjecture through Veronese Embeddings (2026), 1-18.  Preprint 

• D. M. Gerontogiannis and M. Goffeng; Five shades of KMS: Statistical properties in the spectral geometry of Cuntz-Krieger algebras (2026), 1-37.  Preprint 

• D. M. Gerontogiannis, B. Mesland; Ideal quantum metrics from fractional Laplacians (2025), 1-43.  Preprint 

Accepted or Published

• A. Freslon, D. M. Gerontogiannis and A. Skalski; Quantum isometry groups of log-Laplacians on Cuntz-Krieger algebras (2026),  1-35 (to appear in Commun. Math. Phys.).  Preprint 

• D. M. Gerontogiannis, B. Mesland; The logarithmic Dirichlet Laplacian on Ahlfors regular spaces, Trans. Amer. Math. Soc.  378 (2025), 651-678.   Published and Preprint 

• D. M. Gerontogiannis, M. Goffeng and B. Mesland; Heat operators and isometry groups of Cuntz-Krieger algebras, Int. Math. Res. Not. IMRN 6 (2025), 1-30.   Published and Preprint

• D. M. Gerontogiannis, M. F. Whittaker and J. Zacharias; A geometric representative for the fundamental class in KK-duality of Smale spaces, J. Funct. Anal. 287 (2024), 110455. Published and Preprint 

• F. Arici, D. M. Gerontogiannis and S. Neshveyev; KK-duality for the Cuntz-Pimsner algebras of Temperley-Lieb subproduct systems (2024), 1-20 (to appear in Math. Ann).    Preprint 

• D. M. Gerontogiannis; Ahlfors regularity and fractal dimension of Smale spaces, Erg. Th. & Dyn. Sys. 42 (2022), 2281-2332.    Published and Preprint

• D. M. Gerontogiannis; On finitely summable Fredholm modules from Smale spaces, Trans. Amer. Math. Soc. 375 (2022), 8885-8944.     Published and Preprint