Miguel A. Xicotencatl's Home Page

Dr. Miguel A. Xicoténcatl M.

Depto. de Matemáticas , CINVESTAV
Ap. Postal 14-740, México, D.F. 07300

Phone: (52) (55) 50 61 38 00 ext. 6463
Fax: (52) (55) 50 61 38 76

e-mail: xico@math.cinvestav.mx

Courses I'm teaching (in spanish):

Agosto 2002 Cálculo III Licenciatura, ESFM - IPN

Enero 2003 Algebra Moderna IV Licenciatura, ESFM - IPN

Agosto 2003 Topología I Licenciatura, ESFM - IPN

Sept. 2003 Topología Algebraica Depto. de Matemáticas, CINVESTAV

Sept. 2003 Tópicos en Teoría de Nudos Depto. de Matemáticas, CINVESTAV

Enero 2004 Nudos tóricos y generalizaciones Maestría, ESFM - IPN

Marzo 2004 Teoría de homotopía Depto. de Matemáticas, CINVESTAV

Studies:

1987-1991 Escuela Superior de Física y Matemáticas del IPN (B. S.)

1991-1992 Depto. de Matemáticas del CINVESTAV

1992-1997 Dept. of Mathematics, University of Rochester (M.S. and Ph.D.)

Spring '96 Visiting member at the Fields Institute (Toronto, Canada).

Positions held:

Since 1991 Profesor del Depto. de Matemáticas de la ESFM-IPN.

Since 1997 Investigador 2A, Depto. de Matemáticas del CINVESTAV.

1999-2000 Postdoctoral position at the MPI fur Mathematik (Bonn, Germany).

Since 2001 Investigador 2C, Depto. de Matemáticas del CINVESTAV.

2001-2002 Coordinador Académico. Depto. de Matemáticas, CINVESTAV.

Since 2003 Investigador 3A, Depto. de Matemáticas del CINVESTAV.

Articles :

1. The Lie algebra of the pure braid group. dvi
Bol. Soc. Mat. Mexicana (3) Vol. 6, 2000, 55-62.

    2.    Orbit configuration spaces and the rational cohomology of F(RPⁿ, k ). dvi
            in "Une dégustation topologique: Homotopy theory in the Swiss Alps",
            Contemporary Mathematics no. 265 (AMS) (2000), 233-249.

3. Product decomposition of loop spaces of configuration spaces. dvi
Topology and its Aplications 121 (2002), 33--38.

    4.    Orbit configuration spaces associated to the Gaussian integers:
            homotopy and homology groups.    dvi
            (with Fred Cohen). Topology Appl. 118 (2002), no. 1-2, 17--29.

    5.     Lie algebras associated to fiber-type arrangements.    dvi
            (with Dan Cohen and Fred Cohen ). International Mathematics
            Research Notices (IMRN) Vol. 2003, 29, 1519--1621.

6. The loop space homology of orbit configuration spaces, dvi
To appear in: Transactions of the AMS.

    7.    On the pure braid group of a surface.
            To appear in:    Bol. Soc. Mat. Mexicana

    8.    Orbit configuration spaces associated to discrete subgroups of PSL(2,R),
            (with Fred Cohen and T. Kohno). Submitted.

    9.    Orbifold string topology, (with E. Lupercio and B. Uribe). Preprint.

    10.    Jordan-Schwinger map, 3D harmonic oscillator constants of motion,
            and classical and quantum parameters characterizing electromagnetic
            wave polarization, (with R. D. Mota and V. D. Granados).
            J. of Phys. A: Math. Gen. 37 (2004), 2835 - 2842.

11. 2D isotropic harmonic oscillator approach to classical and quantum Stokes parameters,
(with R. D. Mota and V. D. Granados). Submitted.

12. On Z/2-equivariant loop spaces. dvi
Preprint.

Some conferences I have attended:

Conference in Algebraic Topology (Arolla, Switzerland)

Course on Operads (Lens, France)

Summer School in Ioannina (Greece)

First Euro-Mediterranean Topology Meeting (Barcelona)

Joint Meeting AMS -MAA (New Orleans)

Algebraic Topology Conference in honor of Sam Gitler ,

V Joint Meeting AMS - SMM (Morelia, Mexico)

Special session on: Algebraic Topology and K-Theory

Cinvestav's 40th anniversary conference