Research


 

My research interests are mainly in Algebra and Geometry. I have worked in the Quantum Groups area, but currently I am interested also in Deformation Quantization. I also am becoming interested in both Invariant theory and Supergeometry. You will find below a list of my publications. For those publications that already appeared in their final version in a Journal I have posted the postscript and pdf file. For the others you are welcome to ask me for an updated version.

 

Publications


         L. Caston, R. Fioresi, Mathematical Foundations of Supersymmetry, preprint, 2007. pdf file

         R. Fioresi, M. A. Lledo, V. S. Varadarajan, Superminkowski and superconformal space-time, Journal of Mathematical Physics, 2007. pdf file

         R. Fioresi, M. A. Lledo, V. S. Varadarajan, On the Deformation Quantization of affine algebraic varieties, International Journal of Mathematics, 16, no. 4, 419-435, 2005. pdf file

         R. Fioresi, On the Dynamics of the Self-Gravitating Elipsoid and its Deformation Quantization, 55, no. 2, 286-292, 2005. pdf file

         R. Fioresi, Commutation relations among generic quantum minors in Oq(Mn(k)), Journal of Algebra, 280, no. 2, 655--682, 2004. pdf file

         R. Fioresi, M. A. Lledo, On algebraic supergroups coadjoint orbits and their deformations , Communication in Mathematical Physics, pg. 177-200, 245, 2004. pdf file

         R. Fioresi, M. A. Lledo A review on deformation quantization coadjoint orbits of semisimple Lie groups , Proceedings of the conference: Rencontres de Matematiques de Glanon math-QA0111132, 2001. pdf file

         R. Fioresi, C. Hacon On infinite dimensional grassmannians and their quantum deformations Rend. Sem. Mat. Univ. Padova, 111, 2004. pdf file

         R. Fioresi On algebraic supergroups and quantum deformation, Journal of Algebra and its applications, 2, no. 4, pg 403-423, 2003. pdf file

         M.Domokos, R. Fioresi, T. Lenagan Orbits for the coadjoint action on quantum matrices, Journal of Geometry and Physics, 47, no. 4, pg 447-468, 2003. pdf file

         R. Fioresi, Supergroups, quantum supergroups and their homogeneous spaces , Modern Physics Letters A, 16, no. 4-6, 269-274, 2001. pdf file

         R. Fioresi, M. A. Lledo A comparison between star products on regular orbits of semisimple Lie groups, Journal of Physics A, no. 27, 5687-5699, 2001. pdf file

         R. Fioresi, A. Levrero, M. A. Lledo, Algebraic and differential star products on regular orbits of semisimple Lie groups, Pacific Journal, 206, no. 2, 321-337, 2002. pdf file

         R. Fioresi, C. Hacon Quantum Invariant Theory and quantum Schubert manifolds, Journal of Algebra, 242, no. 2, 433-446, 2001. pdf file

         R. Fioresi, M. A. Lledo On deformation quantization of coadjoint orbits of semisimple Lie groups, Pacific Journal, 198, no. 2, 411-436, 2001. pdf file

         A. Brown, R. Fioresi Lifts of quantum groups in prime characteristic Comm. in Alg., Vol. 27, n. 11, 1999. pdf file

         R. Fioresi Quantum deformation of the flag manifold Comm. in Alg., Vol. 27, n. 11, (1999). pdf file

         R. Fioresi A quantum deformation of the grassmannian manifold , Journal of Algebra,214, n. 2, 418-447, (1999). pdf file

         R. Fioresi Quantum homogeneous projective varieties , PhD thesis, UCLA, (1997). Postscript available upon request.

         R. Fioresi A deformation of the big cell inside the grassmannian manifold G(r,n) Rev. Math. Phy.,11, 25-40, n. 1, (1999). pdf file

         R. Fioresi Quantum flag manifolds and quantum conformal space time Rev. Math. Phy. Vol. 9, n. 4 (1997). pdf file

         R. Borsari, R. Fioresi and T. Trombetti Asymptotic Stability for Delayed Differential Systems with nonnegative coupling in Reactor Dynamics Ann. nucl. Energy, Vol.19, No. 10-12, pp.629-638 (1992). Electronic version not available.

         R. Borsari, R. Fioresi and T. Trombetti Nonnegativity of the Anisotropic Scattering Source in Two-Angle (m,f) Transport Nucl. Sci. En. Vol.112, pp.301-320 (1992). Electronic version not available.