Research Interests

 
 

“On non-simply connected Einstein metrics”, PhD thesis, Stony Brook, 2006


“Smooth structures and Einstein metrics on $CP^2#5,6,7 \bar{\CP^2}$, joint with R. Rasdeaconu

        (arXiv:0806.1424), Math. Proc. Camb. Phil. Soc. 147 (2009), no. 2, 409-417


“Smooth structures, normalized Ricci flows and finite cyclic groups”, joint with M. Ishida

        (arXiv:0808.0316), Ann. Glob. Anal. Geom. 35 (2009), no.3, 267-275


“On normalized Ricci flow and smooth structures on 4-manifolds with $b^+=1$”, joint with M. Ishida and R.Rasdeaconu, (arXiv:0810.2465), Archiv der Mathematik 92 (2009), no. 4, 355-365


“On Einstein metrics on non simply connected four manifolds”, (arXiv:0804.4823)


“Yamabe invariant of a class of symplectic 4-manifolds”, (arXiv:1410.1236), Journal of Geometry and Physics 91 (2015), 54-65, Special Issue dedicated to Professor Paul Gauduchon


“On finite symmetries of simply connected four manifolds”, (arXiv:1607.02776) New York J. Math. 22 (2016) 853-863

 

Geometry of 4-manifolds, Seiberg-Witten Theory:

Selected conferences:

Conference on Differential Geometry, Montreal, Canada, July 2016


The Eight Congress of Romanian Mathematicians, Iasi, Romania, July 2015


Real and Complex Differential Geometry, Bucharest, Romania, September 2014


Workshop on Topology and Invariants of 4-manifolds, Simons Center for Geometry
    and Physics, Aug 2014


Graduate Workshop on Kahler Geometry, Simons Center for Geometry and Physics,
    June 2013


Extremal Kahler metrics, CRM, Montreal, Canada, May 2013


Recent developments in Kahler Geometry, IHP, Paris, France, December 2012


Geometry and Topology, Lehigh University, May 2012


Southeast Geometry Conference, Charleston, March 2012


The Seventh Congress of Romanian Mathematicians, Brasov, Romania, July 2011


Around geometry of Einstein manifolds, Nantes, France, July 2009


Sasakian and Kahler Geometry, Rome, Italy, June 2009







“ALE Ricci-flat Kahler metrics and deformations of quotient surface singularities” (arXiv:1102.2672),

        Ann. Glob. Anal. Geom. 41 (2012), no.1, 109-123


“ALE Ricci-flat Kahler surfaces and weighted projective spaces” joint with R. Rasdeaconu,

        (arXiv:1301.4727) Ann. Glob. Anal. Geom. 2015, Vol 47, Issue 2, 117-134


“Balanced metrics on uniruled manifolds”, joint with I. Chiose and R. Rasdeaconu,

        (arXiv:1408.4769) accepted in Communications in Analysis and Geometry



“On the classification of ALE Kahler manifolds”, joint with H. Hein and R. Rasdeaconu,

        (arXiv:1610.05239)


“Balanced Manifolds and SKT Metrics”, joint with I. Chiose and R. Rasdeaconu, (arXiv:1608.08721) submitted for publication

     
Accepted 
 

Geometry of 4-manifolds, Seiberg-Witten Theory:

Complex Geometry: