Vehbi Paksoy, Ph.D.

Associate Professor
Department of Mathematics
(954) 262-7995
vp80@nova.edu

    Education:      Research Interest(s):      Courses Taught: 

My area of research is algebraic, differential geometry and mirror symmetry. I also work combinatorial and geometric aspects of matrix analysis and quantum information theory.

  1. Polytopes of Stochastic Tensors ( with F. Zhang, H. Chang)(Annals of Functional Analysis)(2015)
  2. Interpretation of generalized matrix functions via geometric measure of quantum entanglement (with F. Zhang, H. Chang) (International Journal of Quantum Information, Vol. 13, No. 6 (2015)
  3. An inequality for tensor product of positive operators and its applications (with F. Zhang, H. Chang)(Linear Algebra and its Applications, 2015)
  4. Angles, triangle inequalities, correlation matrices and metric-preserving and sub-additive functions (with F. Zhang, D. Castano) (Linear Algebra and its Applications, 2014)
  5. Inequalities of Generalized Matrix Functions via Tensor Product (with F. Zhang, R. Turkmen) (Electronic Journal of Linear Algebra, Volume 27, April 2014, Pages 332-341)
  6. Some matrix inequalities of majorization type (with F. Zhang, R. Turkmen)(2012), (Linear Algebra and its Applications, Volume 437, Issue 6, 15 September 2012, Pages 1305–1316 )
  7. Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology (2010), (Nonlinear and Complex Dynamics; Applications in Physical, Biological and Financial Systems”, Editors:Machado, Baleanu, Luo. Springer 2011, ISBN:978-1-4614-0230-5
  8. On the cohomology of Polygon spaces (2008), (Mathematical Quarterly)
  9. Mirror Principle for flag manifolds (2008), (Turkish J. Math.)
  1.  5th International Conference on Matrix Analysis and Applications. Local Organizer. Fort Lauderdale, Florida, USA, December, 17-20, 2015
  2.  NIMBioS Tutorial: Algebraic and Discrete Biological Models for Undergraduate Courses, Knoxville, TN, June 16-20, 2014
  3.  4th International Conference on Matrix Analysis and Applications. Local Organizer. Konya, Turkey, 2-5 July, 2013
  4.  4th Congress of Turkic Mathematical Society. Talk delivered: Mirror Principle and Hori-Vafa Conjecture on Homogenous spaces, Baku, Azerbaijan, July 2011
  5.  8th Combinatorial Conference, University of Paris XI. Talk Delivered: A Combinatorial Criterion to Determine Fano Polygon Spaces, July 2010
  6.  AMS Regional Meeting, Special Session on “Geometry and Topology”, Talk Delivered: A Method to determine Fano polygon spaces, October 31, 2009, FAU, Boca Raton, FL
  7.  3rd International Workshop on Matrix Analysis and Applications, Talk Delivered: Integrability of spatial polygons in Semi Riemannian space, July 9-13, 2009, China