• Visiting Lecturer, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, USA, Jan. 2011 - present.
• Postdoctoral Fellow, Department of Mathematics and Statistics, York University, Canada, Sept. 2007 - June 2009.
• Postdoctoral Fellow, Chemical Physics Theory Group , University of Toronto, Canada, Sept. 2007 - June 2009.
• Postdoctoral Fellow, Department of Mathematics and Statistics, University of Saskatchewan, Canada, Sept. 2006 - Aug. 2007.
• Sessional Lecturer, Department of Mathematics and Statistics, University of Saskatchewan, Canada, Sept. 2004 - Dec. 2006.
• Postdoctoral Fellow, Mathematical Sciences Group, University of Saskatchewan, Canada, Sept. 2004 - Aug. 2006.
• Ph.D. in Electrical Engineering, University of Illinois at Urbana-Champaign, USA, October 2004.
• M.S. in Electrical Engineering, University of Illinois at Urbana-Champaign, USA, May 2000.
• Electronics and Communications Engineer, Instituto Tecnológico y de Estudios Superiores de Monterrey, México, December 1997.

Applied probability

Mathematical modeling of polymers and biophysical systems; in particular:

• configurational and statistical properties of lattice models for polymers
• steric stabilization and sensitized flocculation of colloidal dispersions
• adsorption and localization of random copolymers
• ion transport

Communication networks

Bioinformatics

• J. Alvarez, M. Gara, E. J. Janse van Rensburg, and A. Rechnitzer ''Atmospheric Collapse in Self-Avoiding Walks: A Numerical Study using GARM," J. Stat. Mech., (2009) P12005.
• J. Alvarez and S. G. Whittington, ''Force-extension relations in adsorbing polymers subject to a force," J. Stat. Mech., (2009) P04016.
• J. Alvarez and C. E. Soteros, "Higher Order Morita Approximations for Random Copolymer Localization," Journal of Mathematical Chemistry, 45 (2009) 238-256.
• J. Alvarez and E. J. Janse van Rensburg, ''Directed Paths in a Layered Environment," J. Phys. A: Math. Theor, 41 (2008) 465003.
• J. Alvarez, E. J. Janse van Rensburg, C. E. Soteros, and S. G. Whittington, ''Self-avoiding polygons and walks in slits," J. Phys. A: Math. Theor, 41 (2008) 185004.
• J. Alvarez, E. Orlandini, C. E. Soteros, and S. G. Whittington, ''Higher Order Morita Approximations for Random Copolymer Adsorption," J. Phys. A: Math. Theor , 40 (2007) F289-F298.
• Juan Alvarez and Bruce Hajek, ''Kernel representations for flux and concentration in ion channel models with time-varying concentrations," J. Chem. Phys., Vol. 125, pp. 164703, 2006.
• Juan Alvarez and Bruce Hajek, ''Equivalence of trans paths in ion channels,'' Phys. Rev. E, Vol. 73, pp. 046126, 2006.
• Juan Alvarez and Bruce Hajek, "A queue with semi-periodic traffic", Advances in Applied Probability, Vol. 37, No. 1, pp. 160-184, March 2005.
• Juan Alvarez, Discrete stochastic modeling of ion channels, Ph.D. dissertation, August 2004.
• J. Alvarez and B. Hajek, " Reversible Markov chain models for ion channels", Proceedings of the 38th Annual Conference on Information Sciences and Systems, pp. 1371-1376, March 2004.
• J. Alvarez and B. Hajek, " A queue with semi-periodic traffic", presented at the 6th INFORMS Telecommunications Conference, March 2002.
• Juan Alvarez, " Pricing and multidimensional quality of service in multiclass packet networks" , M.S. thesis, May 2000.
• Juan Alvarez and Bruce Hajek, " On the use of packet classes in communication networks to enhance congestion pricing based on marks ", IEEE Transactions on Automatic Control, Vol. 47, Issue 6, pp. 1020-1026, June 2002.
• J. Alvarez and B. Hajek, " Observations on using marks for pricing in multiclass packet networks to provide multidimensional QoS", Proceedings of the 2000 Conference on Information Sciences and Systems, Vol. II, pp. TP2-16 to TP2-21, March 2000.

• Invited talk :`` Force, density, and extension relations in adsorbing polymers subject to a force ,'' CanaDAM 2009, , May 25, 2009,
• Invited talk :``Random copolymer adsorption,'' Workshop on Random Polymers, EURANDOM, Eindhoven, The Netherlands, June, 2007,
• Invited talk :``Morita approximations to random copolymer localization,'' CMS Winter 2005 meeting, Victoria, BC, Canada, December, 2005.
• Invited talk :``Reversible Markov Chain Models for Ion Channels and Equivalence of Trans Paths,'' BIRS Workshop on Mathematical Issues in Molecular Dynamics, Banff, AB, Canada, June, 2005.
• ``Reversible Markov chain models for ion channels,'' 38th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 19, 2004.
• ``A queue with semi-periodic traffic,'' 6th INFORMS Telecommunications Conference, Fort Lauderdale, FL, USA, March 2002.
• ``Observations on using marks for pricing in multiclass packet networks to provide multidimensional QoS,'' 2000 Conference on Information Sciences and Systems, Princeton, NJ, USA, March 16, 2000.

• ``Self-avoiding polygons and walks in slits,'' Probability Seminar , Department of Mathematics, University of Illinois at Urbana-Champaign, May 6, 2008,
• ``Localization of random copolymers,'' Math Seminar, Department of Mathematics and Statistics, Queen's University, November 28, 2007,
• ``On the localization of random copolymers,'' Statistical Mechanics Seminar, Department of Chemistry, University of Toronto, October 26, 2007,
• ``Higher Order Morita Approximations for Random Copolymer Adsorption,'', poster session at Workshop: Combinatorial Problems Raised by Statistical Mechanics, Centre de recherches mathématiques, Université de Montréal, February 22, 2007,
• ``Higher Order Morita Approximations for Random Copolymer Adsorption,'' Statistical Mechanics Seminar, Department of Chemistry, University of Toronto, February 16, 2007,
• ``Localization of random copolymers,'' 33rd Annual Meeting of the Statistical Society of Canada, University of Saskatchewan, June 13, 2005,
• ``Adsorption and localization of random copolymers,'' Statistical Mechanics Group, University of Saskatchewan, January 14, 2005,
• ``Stochastic models for ion transport across cell membranes,'' Applied Probability and Statisitcs Seminar, University of Saskatchewan, October 4, 2004,

Last update: September 28, 2010.