## 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