Education:
- Licenciado, Physics, Instituto Balseiro;
- Ph. D., Mathematics, University of Michigan, Ann Arbor.
Background:
Joined the Mathematics and Science Departmant in 2004.
Research interests:
Complex analytic extensions of geodesic flows
Publications:
"Higher order Schwarzians for geodesic flows, moment sequences, and the radius of adapted complexifications". Quarterly Journal of Mathematics. Oxford Series 2. Volume 64 Issue 1 March 2013 p 1-36
“The Adapted complexification of the two-sphere with a Liouville metric”.
Quarterly Journal of Mathematics. Oxford, Ser. 2. 60, (2) 133-168 (2009).
“The adapted complexification of an ellipsoid”.
International Journal of Mathematics, 18, (1) 43-68 (2007).
“Tangentially positive isometric actions and conjugate points.”
Transactions of the American Mathematical Society, 359, (2) 789-825 (2007).
“Moment map, a product structure and Riemannian metrics with no conjugate
points.” Communications in Analysis & Geometry, 13 (2), 401-439 (2005).
“Symplectic reduction and the complex homogenous Monge-Ampère
equation.” Annals of Global Analysis and Geometry, 19 (4), 327-353 (2001).
“Pseudo-Riemannian metrics, Kähler-Einstein metrics on Grauert tubes and
harmonic spaces.” Quarterly Journal of Mathematics, Oxford Ser.2 , 51, 1-17 (2000).
“Isotropic almost complex structures on tangent bundles.” Manuscripta Mathematica, 90, 429-436 (1996).
Education:
- B.S., University of Puerto Rico.
- Ph.D., Physics, University of Massachusetts, Amherst.
Dr. Cukor earned a BS from Tufts University and his MD from UMass Medical School where he subsequently trained as an Emergency Medicine Resident and Chief Resident. He served as the Emergency Medicine Education Director at St. Vincent Hospital in Worcester, before returning to UMass as a Flight Physician with UMASS LifeFlight, an Adult and Pediatric Emergency Department Attending, and ultimately the Emergency Medicine Residency Director for 11 years. Dr. Cukor is a Medical Officer on a Federal Disaster Medical Assistance Team and has participated in humanitarian missions aboard both USNS Hospital Ships, COMFORT and MERCY. He is a volunteer physician with Project HOPE and an Adjunct Professor of Health Communication at Rhode Island College. Dr. Cukor has authored over 25 peer reviewed papers, book chapters or abstracts, serves as a peer reviewer for UpToDate, and has been invited to teach Emergency Medicine both nationally and internationally. Since 2011, he has proudly served as the Academy Physician supporting the cadets and campus and has participated in more than 10 sea terms.
Education:
B.S., University of ROMA TRE (Italy); M.S., Ph.D., University of Missouri-Columbia