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.

·
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.