I am a visiting assistant professor at the Department of Mathematics and Statistics in Cleveland State University.
I am mainly interested in problems in the fields of classical convex geometry, and asymptotic geometric analysis, i.e. study properties of objects such as convex bodies, or ``concave'' probability measures, when the dimension grows. I am also interested in billiard dynamics problems, mainly billiards in the hyperbolic plane and Minkowski billiards.
On the Linear Structures Induced by the Four Order Isomorphisms Acting on Cvx0, with A. Segal.
Submitted to the Journal of Convex Analysis (2019), arXiv.
Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane, with M.A. Alfonseca, M. Cordier.
Submitted to Advances in Geometry (2019), arXiv.
A Santaló-Type Inequality for the J-Transform, with A. Segal.
Accepted to Communications in Contemporary Mathematics (2019), arXiv.
Functional Brunn-Minkowski Inequalities Induced by Polarity, with S. Artstein-Avidan, A. Segal.
Accepted to Advances in Mathematics (2019), arXiv.
Stability and Rate of Convergence of the Steiner Symmetrization, with A. Segal.
International Mathematics Research Notices, (2017), arXiv.
Minkowski Symmetrizations of Star Shaped Sets, with A. Segal.
Geometriae Dedicata, Volume 184, Issue 1, 115-119 (2016), arXiv.
A Characterization of the Mixed Discriminant, with V.D. Milman, R. Schneider.
Proceedings of the American Mathematical Society, Volume 144, Number 5, 2197-2204 (2016), arXiv.
On Godbersen's Conjecture, with S. Artstein-Avidan, K. Einhorn, Y. Ostrover.
Geometriae Dedicata, Volume 178, Issue 1, 337-350 (2015), arXiv.
Identifying Set Inclusion by Projective Positions and Mixed Volumes, with V.D. Milman, A. Segal.
GAFA Lecture Notes in Mathematics, Volume 2116, 133-145 (2014), arXiv.
Remarks about Mixed Discriminants and Volumes, with S. Artstein-Avidan, Y. Ostrover.
Communications in Contemporary Mathematics, Volume 16, Issue 2, 1350031 (2014), arXiv.
Stability of Order Preserving Transforms, with A. Segal.
GAFA Lecture Notes in Mathematics, Volume 2050, 205-225 (2010), arXiv.
Order Isomorphisms on Convex Functions in Windows, with S. Artstein-Avidan, V.D. Milman.
GAFA Lecture Notes in Mathematics, Volume 2050, 61-122 (2010), arXiv.
email: danflorentin at gmail
office: Math Science Building 337.