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flow pass a cylinder with Reynolds number 200. The simulation was done using the augmented immersed interface method.
SUMMER PROGRAMS
Faculty and Mentors

Project Faculty

LOEK HELMINCK
loek@math.ncsu.edu



2005-2006 Senior Investigator, 2005-2006 Program Director

Aloysius G. Helminck (Loek) received his PhD in 1985 from the University of Utrecht, The Netherlands. While pursuing his doctorate degree, he was a research fellow at CWI, (Dutch Mathematical Research Center) in Amsterdam. Before joining the faculty at NC State University he was a postdoctoral fellow at the University of Michigan.

He is now Professor of Mathematics at NC State University and Head of the department. A major focus of his research has been the development of an algebraic and combinatorial generalization of symmetric spaces. These generalized symmetric spaces are of fundamental importance in mathematics, physics and other sciences. Currently, his main emphasis is developing tools of symbolic computation to solve problems from these areas. Good symbolic computation packages will turn theoretical models into real time, useable, information.

He has also done research in a broad range of related mathematical subjects including algebraic groups, representation theory, harmonic analysis, integrable systems, invariant theory, geometry, and quantum computing.

You can find out more about Professor Helminck through his Homepage.

HIEN TRAN
tran@math.ncsu.edu



2005-2006 - Senior Investigator


Hien T. Tran received the B.S. degree in Mathematics from Old Dominion University, Norfolk, VA, in 1980, the M.S. degree in Applied Mathematics in 1982, and the Ph.D. degree in Mathematics in 1986, both from Rensselaer Polytechnic Institute, Troy, NY.

From 1986 to 1989 he was a Visiting Assistant Professor with the Center for Control Sciences at Brown University. Since 1989, he has been with the Department of Mathematics and the Center for Research in Scientific Computation at North Carolina State University. He is currently the Associate Head. He served as Co-Director of the Graduate Program in Operations Research. His current areas of research interest are the development of reduced order based methods and nonlinear feedback control methodologies, mathematical modeling and simulations of wireless digital communication systems, and the development of mathematical models for cardiovascular physiology. Over the past several years, he has been involved with the workshops on Industrial Mathematical and Statistical Modeling for Graduate Students.

You can find out more about Professor Tran through his Homepage.

SANDRA PAUR
sopaur@math.ncsu.edu


Dr. Sandra Paur

Senior Counselor

Sandy Paur received her B.S. (1968) from the University of North Dakota and her Ph.D. (1973) from Indiana University. She is an Associate Professor of Mathematics and has been advising students for over 30 years. Since 1980 she has been the Director of the Math Honors Program at NC State. Students in the Math Honors Program have won many national honors, including 5 Goldwater Scholarships, 11 NSF Fellowships, 2 DoD Fellowships and 2 Gates Fellowships and have gone on to graduate school at Princeton, Berkeley, MIT, Stanford, Cornell and other top-ranked schools.

You can find out more about Professor Paur through her Homepage.

Faculty Mentors

PIERRE GREMAUD
gremaud@math.ncsu.edu

Professor Gremaud received his Ph.D. in 1991 from the Ecole Polytechnique Federale de Lausanne in Switzerland. He joined the Department of Mathematics at NCSU in 1994, after three years at the University of Minnesota, Minneapolis. His research interests are in numerical methods for Partial Differential Equations and more specifically in problems related to solid and fluid mechanics. Professor Gremaud has held several invited positions and has extensive experience in mentoring students through, among other things, various NSF sponsored workshops.

You can find out more about Professor Gremaud through his Homepage.

MANSOOR HAIDER
m_haider@ncsu.edu

Professor Mansoor Haider received a B.Math (1991) from the University of Waterloo, Canada and a Ph.D. (1996) from Rensselaer Polytechnic Institute. He completed a 3-year post-doc at Duke University before joining the faculty at N.C. State in 1999. He has been the recipient of an NSF Mathematical Sciences Postdoctoral Research Fellowship and an NSF Graduate Research Fellowship. His research interests lie in mathematical modeling of articular cartilage mechanics and scientific computing.

You can find out more about Professor Haider through his Homepage.

ERICH KALTOFEN
kaltofen@math.ncsu.edu


Erich Kaltofen received both his M.S. degree in Computer Science in 1979 and his Ph.D. degree in Computer Science in 1982 from Rensselaer Polytechnic Institute. He was an Assistant Professor of Computer Science at the University of Toronto and an Assistant, Associate, and full Professor at Rensselaer Polytechnic Institute. Since 1996 he is a Professor of Mathematics at North Carolina State University. Kaltofen has held visiting positions at the Mathematical Sciences Research Institute in Berkeley, California (2000 and 1985), at the University of Grenoble (2000 and 1999), at Simon Fraser University (1998), and at the Tektronix Computer Research Laboratory in Oregon (1985). Under his supervision 7 students have completed their Ph.D.'s. He has supervised 4 REU summer students and 3 undergraduate honors research projects.

Kaltofen's current interests are in computational algebra and number theory, design and analysis of sequential and parallel algorithms, and symbolic computation systems and languages. Kaltofen was the Chair of ACM's Special Interest Group on Symbolic & Algebraic Manipulation 1993 - 95. He serves as associate editor on several journals on symbolic computation. In 2001 and 1992 he was the General Chair of the International Symposium on Symbolic and Algebraic Computation, and in 2002 he was elected onto its Steering Committee, which he now chairs. From 1985 - 87 he held an IBM Faculty Development Award. From 1990 - 91 he was an ACM National Lecturer.

Kaltofen has edited 4 books, including the Computer Algebra Handbook, published over 120 research articles, and has contributed to the Waterloo Maple system and developed symbolic computation software in Lisp and C++.

You can find out more about Professor Kaltofen through his Homepage.

IRINA KOGAN
iakogan@math.ncsu.edu

Irina Kogan received a diploma (equivalent of a M.S.) in Applied Mathematics from Moscow Institute for Petrochemical and Natural Gas Industry in 1993 and a Ph.D in Mathematics from the University of Minnesota in 2000.

Irina Kogan was a Gibbs Instructor at Yale University before joining the department of mathematics at NCSU in 2003. She is interested in geometric study of differential equations, especially symmetry methods, and geometric methods in image recognition and image processing.

You can find out more about Professor Kogan through her Homepage.

ALUN LLOYD
allloyd@math.ncsu.edu


Alun Lloyd received his degrees from Cambridge University (BA Mathematics, 1991) and the University of Oxford (D.Phil. Biological Sciences 1996), held a postdoctoral position at the University of Oxford (1996-1999) and was a long-term member of the Institute for Advanced Study's Program in Theoretical Biology (1999-2003).

Alun Lloyd is a mathematical biologist, whose main interests involve the dynamics of infectious diseases and spatial models in ecology and epidemiology. He is an Associate Professor in the NCSU Department of Mathematics and is a core faculty member of the University's Biomathematics Graduate Program.

You can find out more about Professor Lloyd through his Homepage.

SHARON LUBKIN
lubkin@math.ncsu.edu

AB 1986 Brown University (Mathematics), PhD 1992 Cornell (Applied Mathematics), postdoctoral fellowship 1993-7 U. Washington (Applied Mathematics).

Sharon Lubkin is a mathematical biologist specializing in morphogenesis and continuum mechanics in soft tissues. She has worked in several other areas of biological modeling, including epidemiology, microbial population dynamics, pattern formation, plant behavior, marriage dynamics, and quantifying suburban sprawl.

Dr. Lubkin is an Associate Professor in the NCSU department of Mathematics, is one of the core faculty members of the Biomathematics Program. and is an associate faculty member of the NCSU/UNC department of Biomedical Engineering. She is also affiliated with the Center for Research in Scientific Computing. She is active nationally and internationally, and served the Society for Mathematical Biology on the Board of Directors (1998-2002) and as Publications Chair (2004-). Dr. Lubkin is co-Chair and Webmaster of the NCSU Association of Women Faculty.

You can find out more about Professor Lubkin through her Homepage.
CARL MEYER
meyer@math.ncsu.edu

Professor Carl Meyer received a B.A. (1964), University of Northern Colorado, and a M.S (1966) and Ph.D. (1968) from Colorado State University. He was a computational scientist at the Atomic Energy Commission's Rocky Flats Facility, and he has held visiting positions at Stanford University (Computer Science), University of Virginia (Applied Mathematics), and the Boeing Company (Phantom Works). His research interests are numerical linear algebra and Markov Chains.

You can find out more about Professor Meyer's through his Homepage.
METTE OLUFSEN
msolufse@math.ncsu.edu


Professor Mette Olufsen received a M.S. in mathematics and computer science (1993) and a Ph.D. (1998) all from Roskilde University, Denmark. While pursuing her doctorate degree, she worked for Math-Tech, Copenhagen, as a research scientist on a project that aimed at developing an anesthesia simulator. Later she had a postdoc at the Center for BioDynamics and Department of Mathematics, Boston University. She joined the Mathematics Department at NCSU in the fall of 2001.

Mette Olufsen is a mathematical biologist specializing in modeling of physiological systems. Her main interest is in modeling fluid dynamics of arterial blood flow and understanding cardiovascular blood pressure and blood flow control. Specifically understanding the dynamics involved with standing up too quickly, running, or head up tilt.

You can find out more about Professor Olufsen through her Homepage.
JAMES SELGRADE
selgrade@math.ncsu.edu



Professor Selgrade received a B.A. from Boston College (1968) and M.A. (1969) and Ph.D. (1973) in Mathematics from the University of Wisconsin, Madison. He has served as Interim Director of the Biomathematics Graduate Program at NCSU. His current research is focused on two areas:

(1) The use of stocking, harvesting, and migration to control dynamical behavior and to restabilize a dynamical system, with applications to differential and difference equation models in population biology and genetics, and
(2) Modeling the menstrual cycle with the intention of understanding its hormonal regulation and how environmental chemicals may be disrupting this control system. One undergraduate, two Masters students and a PhD student have worked with Dr. Selgrade on various aspects of this modeling problem.

You can find out more about Professor Selgrade through his Homepage.

RALPH SMITH
rsmith@math.ncsu.edu

Ralph C. Smith received an A.B. degree in applied mathematics from Harvard University (1983) and M.S. and Ph.D. degrees in mathematics from Montana State University in 1987 and 1990, respectively.

From 1990 to 1993, he was a staff scientist at the Institute for Computer Applications in Science and Engineering (ICASE) at NASA Langley Research Center. He joined the Iowa State University faculty in September 1993 as an Assistant Professor of Mathematics. In January 1998, he assumed the position of Associate Professor of Mathematics at North Carolina State University. He presently holds the positions of Professor of Mathematics and Associate Director of the Center for Research in Scientific Computation.

His research program focuses on smart material applications, atomicforce microscopy and nanotechnology, numerical analysis, and parameter estimation and control design for distributed parameter systems with application to structural, structural acoustic and aeroacoustic systems. He is co-author of the book "Smart Material Structures: Modeling, Estimation and Control" and author of the book "Smart Material Systems: Model Development".

You can find out more about Professor Smith through his Homepage.
DMITRY ZENKOV
dvzenkov@math.ncsu.edu

Professor Dmitry Zenkov received a M.S. (Honors) in Mechanics and Mathematics from Moscow State University in 1986 and a Ph.D. in Mathematics from the Ohio State University in 1998. He was a GIG Assistant Professor at the University of Michigan from 1998-2001. He was the recipient of the Horace Rackham Faculty Fellowship at the University of Michigan in 1999. His research interests are in geometry, mechanics, and control, with applications to rigid body systems.

You can find out more about Professor Zenkov through his Homepage.

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