Research Interests
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,
“Balanced Manifolds and SKT
Metrics”, joint with I. Chiose and R. Rasdeaconu, (arXiv:1608.08721)
submitted for publication
Geometry of 4-manifolds, Seiberg-Witten Theory:
Complex Geometry: