Directory:

Faculty Members
Visiting Assistant Professors / Postdoctoral Researchers
Graduate Students (Current)
Undergraduate Students (Current)
Former Graduate Students
Former Undergraduate Students

Faculty Members



Prof. Paul J. Atzberger
Department of Mathematics and Mechanical Engineering
Research Homepage

Dr. Atzberger's research focuses on stochastic phenomena in microscopic systems arising in physics, biology, and engineering. Specific areas in which he works include complex fluids / soft condensed matter, lipid bilayer membranes (structure / dynamics), microfluidics, osmotic phenomena, cellular mechanics, and motor proteins. Dr.Atzberger also has mathematical interests in stochastic differential equations and related issues of numerical analysis and scientific computing.



Prof. Hector D. Ceniceros
Department of Mathematics
Research Homepage

Prof. Ceniceros' research focuses on the investigation of free boundary problems in multi-phase flow and complex (polymeric) fluids through the design, analysis, and application of effective numerical methodologies. His specific research areas include: boundary integral methods, phase field and level set approaches, immersed boundary method, field-theoretic polymer models, adaptive and multi-scale methods, interfacial rheology, and liquid crystalline polymers.



Prof. Carlos J. Garcia-Cervera
Department of Mathematics
Research Homepage

Prof. Garcia-Cervera's research focuses on problems arising in Materials Science and Condensed Matter Physics, and in particular, the dynamic and static properties of complex systems. His research interests include fields such as Ferromagnetism, Superconductivity, Liquid Crystals, Polymeric Fluids, and Quantum Chemistry.



Prof. Maria Isabel Bueno Cachandina
Department of Mathematics
Research Homepage

Prof. Bueno Cachandina's research focuses on a class of problems in numerical linear algebra, matrix analysis and Orthogonal polynomials.



Prof. Gustavo Ponce
Department of Mathematics
Research Homepage

Prof. Ponce's research is at the intersection of mathematical physics, harmonic analysis and nonlinear partial differential equations. The main goal is to describe the qualitative behavior of solutions to model physical systems by developing techniques from harmonic analysis. One of the central problems in Prof. Ponce's research is the study of nonlinear dispersive equations and systems arising from Fluid Dynamics.



Prof. Thomas C. Sideris
Department of Mathematics
Research Homepage

Nonlinear hyperbolic partial differential equations, including especially applications to hydro- and elasto-dynamics.



Prof. Bjorn Birnir
Department of Mathematics
Research Homepage

Bjorn´s current research interest are: Stochastic nonlinear partial differential equations and turbulence; dynamical systems theory of partial differential equations; mathematical seismology and geomorphology; nonlinear phenomena in quantum mechanical systems; complex and nonlinear models in biology and applications of the above. The papers from the Center for Complex and Nonlinear Science can be found at the website: http://repositories.cdlib.org/cnls/.

Visiting Assistant Professors / Postdoctoral Researchers

Dr. Chetan Pahlajani
Department of Mathematics
Research Homepage

Stochastic analysis, stochastic averaging, model reduction methods. Applications to stochastic chemical kinetic systems and gene expression transcription networks.

Dr. Sookyung Joo
Ky-Fan Instructor Department of Mathematics
Research Homepage

Dr. Viktor Grigoryan
Department of Mathematics
Research Homepage

Graduate Students (Current)

David Valdman
Department of Mathematics
Advisor: Dr. Atzberger
Research Homepage

Pat Plunkett
Department of Mathematics
Advisor: Dr. Atzberger
Research Homepage

David Boy
Department of Mechanical Engineering
Advisors: Dr. Atzberger, Dr. Gibou, and Dr. Pennathur
Research Homepage

Per Danzl
Department of Mechanical Engineering
Advisors: Dr. Atzberger and Dr. Moehlis
Research Homepage

Su-Mi Hur
Department of Chemical Engineering
Advisors: C.J. Garcia-Cervera and G.H. Fredrickson
Research Homepage

Jordan E. Fisher
Department of Mathematics
Advisors: H. D. Ceniceros
Research Homepage

Daniel Salazar
Department of Mathematics
Advisors: H. D. Ceniceros
Research Homepage

Joules Nahas
Department of Mathematics
Advisors: G. Ponce
Research Homepage

Undergraduate Students (Current)

Joe Rudzinski
Department of Mathematics and Chemistry
Advisor: Dr. Atzberger
Research Homepage

Eunice Chew
Department of Mathematics
Advisor: C.J. Garcia-Cervera
Research Homepage

Former Graduate Students

Slava Krigman
MA 1991
Advisor: T. C. Sideris
Technical Staff Member
MIT Lincoln Laboratory

Lori Carmack
PhD 1996 Advisor: T. C. Sideris

Shu-yi Tu
PhD 1999
Advisor: T. C. Sideris
Associate Professor
University of Michigan, Flint

Becca Thomases
PhD 2003
Advisor: Sideris
Assistant Professor
University of California, Davis

Paul Kessenich
PhD 2008
Advisor: T. C. Sideris
Assistant Professor
University of Michigan, Ann Arbor

Jiawei Qi
Mathematics Department
PhD 2008
Advisor: C.J. Garcia-Cervera

Harley Klein
Department of Chemical Engineering
PhD 2006
Advisor: H. D. Ceniceros, C.J. Garcia-Cervera, and G. Leal.
Currently: CD-adapco

Erin Lennon
Department of Chemical Engineering
PhD 2008
Advisor: H. D. Ceniceros, C.J. Garcia-Cervera, and G.H. Fredrickon.
Post-doctoral Position
Northwestern University

August Bosse
Physics Department
PhD 2007
Advisor: C.J. Garcia-Cervera and G.H. Fredrickson.
Currently: NIST

Tanya Chantawansri
Department of Chemical Engineering
PhD 2009
Advisor: H.D. Ceniceros, C.J. Garcia-Cervera, and G.H. Fredrickson.
Currently: Army Research Lab

William Lyons
Department of Mathematics
PhD 2005
Advisor: H.D. Ceniceros and S. Chandrasekaran
Currently: Deutche Bank

Liana Dawson
Department of Mathematics
PhD 2007
Advisor: G. Ponce
Currently: University of Arizona

Rudimar L. Nos
Department of Mathematics
PhD 2007
Advisor: A. M. Roma and H. D. Ceniceros
Currently: Universidade Tecnologica Federal do Parana (Brazil)

George O. Mohler
Department of Mathematics
PhD 2008
Advisor: H. D. Ceniceros and G. H. Fredrickson
Currently: UCLA

Robert K. Sentinella
Department of Mathematics
PhD 2008
Advisor: H. D. Ceniceros and L. G. Leal
Currently: Thomas Reuters

Former Undergraduate Students

Kevin Hayden
Advisor: C.J. Garcia-Cervera
Undergraduate Research Projects