Rares Rasdeaconu

Research Associate Professor
Department of Mathematics, Vanderbilt University
1513 Stevenson Center, Nashville, TN 37240
Tel: (+1) 615-322-3619    Fax: (+1) 615-343-4117
E-mail: rares.rasdeaconu@vanderbilt.edu
Rares Rasdeaconu

Teaching

Office hours

Research interests

Publications (selected)

  1. On the topology and differential geometry of Kahler threefolds, Ph. D. Thesis, Stony Brook University, August 2005.
  2. On the Kodaira dimension of diffeomorphic threefolds, Proc. Amer. Math. Soc. 134 (2006), no. 12; arXiv, PDF.
  3. Smooth Structures and Einstein Metrics on \( \mathbb{CP}^2 \# 5,6,7 \,\overline{\mathbb{CP}^2} \) (with I. Suvaina), Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 2; arXiv, PDF.
  4. On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with b^+=1 (with M. Ishida and I. Suvaina), Arch. Math. (Basel) 92 (2009), no. 4; arXiv, PDF.
  5. Relative open Gromov-Witten invariants (with J. Solomon), Oberwolfach Reports (2011), PDF.
  6. Counting real rational curves on K3 surfaces (with V. Kharlamov), Int. Math. Res. Notices 2015, arXiv, PDF.
  7. ALE Ricci-flat Kähler surfaces and weighted projective spaces (with I. Suvaina), Ann. Glob. Anal. Geom. 47 (2015), arXiv, PDF.
  8. Qualitative aspects of counting real rational curves on real K3 surfaces (with V. Kharlamov), Geometry & Topology 21 (2017), arXiv, PDF.
  9. Balanced metrics on uniruled manifolds (with I. Chiose and I. Suvaina), Communications in Analysis and Geometry, Vol 27 No 2 (2019); arXiv, PDF.
  10. On the classification of ALE Kähler manifolds (with H.-J. Hein and I. Suvaina), Int. Math. Res. Notices 2021, arXiv, PDF.
  11. Balanced manifolds and SKT metrics (with I. Chiose and I. Suvaina), Ann. Mat. Pura Appl (2022), arXiv, PDF.
  12. Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups (with I. Chiose), Ann. Global Anal. Geom. (2023), arXiv, PDF.
  13. On the Smith-Thom deficiency of Hilbert squares (with V. Kharlamov), Journal of Topology 17 (2024), arXiv, PDF.
  14. On the maximality problem for the Hilbert squares of real surfaces (with V. Kharlamov), Selecta Math. New Ser., 31, 104 (2025), arXiv, PDF.

Preprints

  1. Kalinin effectivity and wonderful compactifications (with V. Kharlamov), arXiv, PDF.
  2. Lower bounds for the Smith-Thom deficiency of Hilbert squares (with K. Kharlamov), arXiv. PDF
  3. Real structures on a class of Shimura surfaces.
  4. The dual of the Kerr critical curve (with A. Lupsasca and I. Suvaina).

Seminar & Events

Geometry and Topology Seminar. The weekly event is co-organized with Anna Marie Bohmann and Ioana Suvaina.

Shanks Workshop - "Facets of Complex Differential Geometry", Vanderbilt University, Nov 14–15, 2026. The event is co-organized with Ioana Suvaina.

Past conferences (selected)

"Recent Advances in Kähler Geometry", in conjunction with the 30th annual Shanks Lecture by Prof. Shing-Tung Yau, Vanderbilt University, May 18–22, 2015; co-organized with Ioana Suvaina, J. Ratcliffe, and Caner Koca.

Past workshops (selected)

  1. "Interactions in Complex Geometry", Shanks Workshop, Dec 11–12, 2021 (co-organized with Ioana Suvaina and Mitchell Faulk).
  2. "Real enumerative Geometry and Beyond", Shanks Workshop, Mar 6–7, 2020 (co-organized with Ioana Suvaina).
  3. "Special session on Hermitian Geometry", AMS Spring Southeastern Sectional, Apr 14–15, 2018 (co-organized with Ioana Suvaina and Mehdi Lejmi).
  4. "Complex Differential Geometry", Shanks Workshop (co-organized with Ioana Suvaina).
  5. "The Topology of Real Algebraic Varieties: Deterministic and Random Aspects", Mar 10–11, 2017 (co-organized with Ioana Suvaina).
  6. "Kähler Geometry on the Edge", Shanks Workshop, Mar 22–23, 2013 (co-organized with Ioana Suvaina and Basak Gurel).
  7. "Kähler and Differential Geometry", workshop, Sep 25–26, 2010 (co-organized with Ioana Suvaina).