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Contact Info

William H. Sanders
Department Head
ECE ILLINOIS
306 N. Wright Street
Urbana, IL 61801
Ph: (217) 333-2300
Fax: (217) 244-7075
whs@illinois.edu

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Juan Alvarez

Electrical and Computer Engineering
Juan  Alvarez
Juan Alvarez
Lecturer
3046 Electrical & Computer Eng Bldg
306 North Wright Street
Urbana Illinois 61801
(217) 300-5452

Primary Research Area

  • Nanotechnology

Education

  • Ph.D., Electrical Engineering, University of Illlinois at Urbana-Champaign, 2004
  • M.S., Electrical Engineering, University of Illlinois at Urbana-Champaign, 2000
  • Engineer (B.Sc.), Electronics and Communications, ITESM-CCM, 1997

Academic Positions

  • Visiting Lecturer, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, USA, Jan. 2011 - December 2012.
  • 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

Research Interests

  • 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

Research Areas

Nanotechnology

Selected Articles in Journals

  • 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 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.

Articles in Conference Proceedings

  • 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, " 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 Lectures

  • `` Force, density, and extension relations in adsorbing polymers subject to a force ,'' CanaDAM 2009, , May 25, 2009
  • ``Random copolymer adsorption,'' Workshop on Random Polymers, EURANDOM, Eindhoven, The Netherlands, June, 2007
  • ``Morita approximations to random copolymer localization,'' CMS Winter 2005 meeting, Victoria, BC, Canada, December, 2005.
  • ``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.