Ronan Conlon

Assistant Professor
Department of Mathematics and Statistics
Florida International University
Miami, Florida

Office: DM 414C

Email: rconlon at fiu dot edu

Teaching: In Spring 2020, I will be teaching Calculus II (MAC 2312-U09).

Research Interests: Einstein manifolds, special holonomy, PDEs on Riemannian manifolds, geometric analysis

My research is partially supported by NSF grant DMS-1906466.

Preprints:

• (with A. Deruelle) Steady gradient Kähler-Ricci solitons on crepant resolutions of Calabi-Yau cones
  [arXiv] preprint 2020


• (with A. Deruelle and S. Sun) Classification results for expanding and shrinking gradient Kähler-Ricci solitons
  [arXiv] preprint 2019


• On the smoothability of certain Kähler cones
  [arXiv] preprint 2014


• (with H.-J. Hein) Asymptotically conical Calabi-Yau manifolds, III
  [arXiv] preprint 2014

Publications:

• (with F. Rochon) New examples of complete Calabi-Yau metrics on ℂⁿ for n≥3
  [arXiv] to appear in Ann. Sci. Éc. Norm. Supér.


• (with A. Deruelle) Expanding Kähler-Ricci solitons coming out of Kähler cones
  [arXiv] J. Differential Geom. 115 (2020), 303-365; see also Oberwolfach report 31-2017


• (with A. Degeratu and F. Rochon) Quasi-asymptotically conical Calabi-Yau manifolds
  [arXiv] Geom. Topol. 23 (2019), 29-100


• (with R. Mazzeo and F. Rochon) The moduli space of asymptotically cylindrical Calabi-Yau manifolds
  [arXiv] Comm. Math. Phys. 338 (2015), 953-1009


• (with H.-J. Hein) Asymptotically conical Calabi-Yau metrics on quasi-projective varieties
  [arXiv] Geom. Funct. Anal. 25 (2015), 517-552


• (with H.-J. Hein) Asymptotically conical Calabi-Yau manifolds, I
  [arXiv] Duke Math. J. 162 (2013), 2855-2902