Contact Information:  e-mail: sio (at)  math.sunysb.edu

                                     Office: Math. Tower  room 3-116

                                      Phone:  (631)-632-8263

                                      Fax: (631)-632-7631

Research Interests:   Differential Geometry, Algebraic Geometry and Symplectic Topology

        I am currently a graduate student, working under the supervision of Prof.Claude LeBrun. My research focuses on the geometry of 4-manifolds. Just as in dimensions two or three, in dimension four there is a close relation between topological and geometric structures. For n = 2 or 3 there is a consensus that a metric of constant sectional curvature should be consider the best metric on a given n-manifold. In dimension four it is not so clear what this might mean. I am studying some canonical metrics that can be defined on 4-manifolds (Einstein, anti-self-dual or scalar-flat Kahler metrics).

Teaching:   

         Spring 2006:

        This semester I am teaching Mat 122. Please check the course web page for more information.

         Other Assignments:

         In Stony Brook, I taught a variety of math courses, starting with introduction in calculus, calculus A,B, I, but also higher-level courses such as: Introduction to Proofs and Games, Logic, Introduction in Linear Algebra. Here are some web pages that I have made for courses I have coordinated:

o    Map 103: Proficiency Algebra

o    Mat 160: Problem Solving and Games

o    Mat 211: Introduction to Linear Algebra

  Application Material:

        I am applying for a post-doctoral position starting fall 2006. Here are my CV and Research Statement.

                Research Papers:

o    The Algebraic Rational Blow-Down  ( joint with Rares Rasdeaconu ) posted on the archive: math.SG/06001270 ;

o    On Einstein metrics on non simply-connected 4-manifolds ( in preparation ).

 This web-page contains information up to Spring 2006.