Dr. Luis G. Valdez-Sanchez


 

Associate Professor

University of Texas at El Paso

Department of Mathematical Sciences

El Paso, TX 79968-0514

Phone: (915) 747-6766

Email: valdez@math.utep.edu

Office: 222 Bell Hall


Education

University of California, Berkeley

Ph.D. Mathematics; Fall 1995
M.A. Mathematics; Spring 1993
Ph.D. Candidacy, Mathematics; Fall 1989


University of Texas, El Paso

B.S. (Honors) Mathematics, Physics (minor); Fall 1987


Summer 2012 Courses

Office hours: MTWR 1400– 1450 or by appointment.

 

MATH 1312

Calculus 2

MTWRF 0920-1130

LART 302

Class Materials

MATH 3323

Matrix Algebra

MWF 1140-1350

LART 302

Class Materials

 

 

 

 

 

 

 

 

 

 

 


Research Interests

Low dimensional topology, with an emphasis in 3-manifolds and surgery on knots.


Publications/Preprints

Dehn fillings of 3-manifolds and non-persistent tori. MathSci
Topology and its Applications 98 (1999), no. 1-3, 355-370.

Essential arcbody and tangle decompositions of knots and links. MathSci
Journal of Knot Theory and its Ramifications 8 (1999), no. 8, 1065--1085.


Representation of types and 3-manifolds. PDF MathSci
Pacific Journal of Mathematics 210, No. 2, 2003; pp. 367-397.

Once-punctured Klein bottles in knot complements. PDF MathSci
Joint work with Enrique Ramirez (CIMAT).
Extension of results presented at the International Conference on Topology and its Applications
joined with the II Japan-Mexico Topology Meeting in Matsue, Japan, June 2002.

Cross-cap number two knots in the 3-sphere with (1,1) decompositions. PDF (arXiv)
Joint work with Enrique Ramirez (CIMAT)
Boletin de la Sociedad Matematica Mexicana (3) 10 (2004), 451-465, Special Issue.


Seifert Klein bottles in knot complements with common boundary slope. PDF
Geometry and Topology Monographs, vol. 7 (2004): Proceedings of the Casson Fest; pp. 27-68.

Toroidal and Klein bottle boundary slopes. PDF (arXiv)
Topology and its Applications 154 (2007) 584-603.

Hyperbolic (1,2)-knots in the 3-sphere with cross-cap number two and tunnel number one. PDF (arXiv)

Joint work with Enrique Ramirez (CIMAT).

Topology and its Applications 159 (2009), 1463 - 1481

Toroidal Dehn fillings at distance 3. Preprint, in preparation.



Updated 5/2012