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Dr. Edward Allen| Email | Office: MA 105 | 834-1013 | Website
Professor | Ph.D. 1983 University of Tennessee


Edward Allen

Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Biology, Neutron Transport, Numerical Analysis, and Stochastic Differential Equations

Edward Allen's primary research interests are numerical analysis, stochastic differential equations, mathematical biology, and neutron transport. He develops, analyzes, and tests computational methods for applied problems involving stochastic differential equations or transport of neutrons. In addition, he derives stochastic differential equation models for biological and physical applications. He is the author or co-author of two books, Modeling With Ito Stochastic Differential Equations and Classical and Modern Numerical Analysis: Theory, Methods, and Practice.

 

Dr. Linda J S Allen| Email | Office: MA 117I | 834-1985 | Website
Horn Professor | Ph.D. 1981 University of Tennessee


Linda J S Allen

Research Interests: Applied Mathematics, Mathematical Biology, Ordinary Differential Equations, and Stochastic Processes

Linda J. S. Allen's primary research interest is mathematical modeling in biology. She formulates and analyzes deterministic and stochastic models in describing population, epidemic, viral, and immune-system dynamics. The models may involve difference equations, ordinary differential equations, discrete-time or continuous-time Markov chains, branching processes, or stochastic differential equations. She is the author of two books: An Introduction to Stochastic Processes with Applications to Biology and An Introduction to Mathematical Biology.

 

Dr. Eugenio Aulisa| Email | Office: MA 222 | 834-6684 | Website
Associate Professor | Ph.D. 2005 University of Bologna


Eugenio Aulisa

Research Interests: Applied Mathematics, Computational Mathematics, Mathematical Physics, Numerical Analysis, and Partial Differential Equations

Dr. Eugenio Aulisa graduated in Nuclear Engineering from the University of Bologna (Italy) in 2001 and obtained his Ph.D. in Energetic, Nuclear and Environmental Control Engineering from the same institution in 2005. His first appointment at Texas Tech was as a Visiting Assistant Professor before entering a tenure-track position in 2007. His primary research interests are in Computational fluid mechanics, including modeling and simulation of multiphase flows and fluid-structure interaction problems, non-linear analysis of fluid flow filtration in porous media, and multigrid solvers with domain decomposition methods.

 

Dr. Harold Bennett| Email | Office: MA 101 | 834-1359 | Website
Professor | Ph.D. 1968 Arizona State University


Harold Bennett

Research Interests: Topology, Logic, and Set Theory

Harold R. Bennett received his B.S. from Idaho State University in 1963 and his M.A. and Ph.D. from Arizona State University in 1965 and 1968, resp. He came to Texas Tech as an assistant professor in 1968 and, in 1980, he was appointed as a professor.

 

Dr. Giorgio Bornia| Email | Office: MA 224 | 834-8754 | Website
Assistant Professor | Ph.D. 2012 University of Bologna


Giorgio Bornia

Research Interests: optimal control; numerical analysis; scientific computing; fluid dynamics

Dr. Giorgio Bornia earned his Ph.D. from the University of Bologna in 2012. He joined Texas Tech with a visiting position in Fall 2012 and was appointed assistant professor in Fall 2013. His research interests include: optimal control for partial differential equations; multi-physics problems in fluid dynamics, such as magnetohydrodynamics and fluid-structure interaction; finite element multigrid and domain decomposition methods; scientific computing.

 

Dr. Robert Byerly| Email | Office: MA 201B | 834-0020 | Website
Associate Professor | Ph.D. 1979 SUNY at Buffalo


Robert Byerly

Research Interests: Computability Theory, Logic, and Topology

Robert Byerly received his B.S. in mathematics from the Massachusetts Institute of Technology, and M.A. and PhD in mathematics from the State University of New York at Buffalo. He held a visiting position at the Ohio State University before coming to Texas Tech in 1980. Dr. Byerly specialized in mathematical logic and recursion theory, and current interests include structural complexity theory, models of arithmetic, and set-theoretical topology. He works actively in computer-assisted mathematics education.

 

Dr. Lars Winther Christensen| Email | Office: MA 251 | 834-6323 | Website
Associate Professor | Ph.D. 1999 University of Copenhagen


Lars Winther Christensen

Research Interests: Algebra

Lars Winther Christensen graduated from the University of Copenhagen in 1995 and obtained his Ph.D. from the same institution in 1999. After this he worked with telecommunications and crypto software development. In 2004 Lars went to University of Nebraska as visiting professor, and in 2007 he joined Texas Tech University. Lars' research is in algebra; his interests focus an applications of homological and homotopical algebra to ring theory. Lars is the author of a monograph on Gorenstein homological dimensions and currently writing another book on derived category methods in commutative algebra.

 

Dr. Lance Drager| Email | Office: MA 236 | 834-8161 | Website
Associate Professor | Ph.D. 1978 Brandeis University


Lance Drager

Research Interests: Applied Mathematics, Analysis, Control Theory, Geometry, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations

Lance Drager received his BA Magna Cum Laude from the University of Minnesota in 1972 and received Master's (1973) and Ph.D. (1978) degrees from Brandeis University. After a Visiting Membership at the Courant Institute and an appointment at Georgia Tech, he came to Texas Tech as an Assistant Professor in 1983, and became Associate Professor in 1990. His research interests are in Geometric Analysis and its applications, including Differential Geometry, Mathematical Control Theory, Ordinary, Partial and Functional Differential Equations and Mathematical Physics. He has worked with scientists in other disciplines; a paper with two coauthors was awarded the Best Paper of the Year in 2003 by the journal "The Log Analyst" (Petroleum Industry). He is also very interested in computing.

 

Dr. Jerry Dwyer| Email | Office: MA 216 | 834-2176 | Website
Professor | Ph.D. 1986 University College Cork


Jerry Dwyer

Research Interests: Complex Analysis, Computational Mathematics, and Mathematics Education

Dr Jerry Dwyer has a BA in mathematical sciences, an MSc in Computer Science and a Ph.D. in applied mathematics, all from University College Cork, Ireland. His dissertation work was in numerical methods for PDE's, with applications in mechanics. Dr Dwyer worked for many years in computational mechanics related to fracture, composite materials and glaciology. In recent years he has focused his work on issues of math education and developed a range of K-12 outreach projects at the University of Colorado and the University of Tennessee before arriving at Texas Tech as an assistant professor in Fall 2003.

 

Dr. Leif Ellingson| Email | Office: MA 215 | 834-5836
Assistant Professor | Ph.D. 2011 Florida State University


Leif Ellingson

Research Interests: Statistics and Geometric Shape Analysis

Leif Ellingson joined the department as an assistant professor in the fall of 2011. Prior to this, he completed a Ph.D. in statistics at Florida State University in the summer of 2011 and an M.S. from the same institution in 2009. Previously, he received a B.S. in mathematics from the University of Maryland in 2007. Dr. Ellingsonís dissertation research was in shape analysis with a focus on computationally efficient nonparametric methodology in application to the study of planar contours and structural proteomics. In addition to expanding upon those projects, his current research interests include statistics on manifolds and sample spaces with manifold stratification, as well as statistical applications in bioinformatics and computational biology.

 

Dr. Razvan Gelca| Email | Office: MA 229 | 834-5499 | Website
Associate Professor | Ph.D. 1997 University of Iowa


Razvan Gelca

Research Interests: Topology

Razvan Gelca received his Bachelor's Degree at University of Timisoara and his Masters Degree at University of Bucharest. After working for one year at the Institute of Mathematics of the Romanian Academy, he went for doctoral studies at University of Iowa. After graduation he had a three year postdoc at University of Michigan and then came to Texas Tech University.

 

Dr. Bijoy Ghosh| Email | Office: MA 117H | 834-4316 | Website
Professor | Ph.D. 1983 Harvard University


Bijoy Ghosh

Research Interests: Applied Mathematics, Bioinformatics, Control Theory, Geometry, and Mathematical Biology

Bijoy K. Ghosh received the B.Tech. and M.Tech. degrees in Electrical and Electronics Engineering from BITS, Pilani, and the Indian Institute of Technology, Kanpur, India, and the Ph.D. degree in Applied Mathematics from the Decision and Control Group of the Division of Applied Sciences, Harvard University, Cambridge, MA, in 1977, 1979, and 1983, respectively. From 1983 to 2006, he has been a faculty member in the Department of Electrical and Systems Engineering, Washington University, St. Louis, MO, as a professor, and directed the center for BioCybernetics and Intelligent Systems. Presently he is a Dick and Martha Brooks Endowed Professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, TX. Bijoy received the American Automatic Control Council's Donald Eckman Award in 1988 in recognition of his outstanding contributions in the field of Automatic Control. He received the United Nations Development Program Consultancy in India under the TOKTEN program in 1993, the Japan Society for the Promotion of Science invitation fellowship for research in Japan in 1997. In the year 2000, he became a Fellow of the Institute of Electronics and Electrical Engineering for fundamental contributions to System Theory with applications to robust control, vision and multi sensor fusion. Bijoy is a member of the editorial board of The IEEE Transactions on Computational Biology and Bioinformatics. He has held visiting academic positions at the Yale University, USA; Universita di Padova, Italy; Institut Mittag-Leffler and Royal Institute of Technology, Sweden; Tokyo Institute of Technology and Osaka University, Japan. He is a permanent visiting professor at the Tokyo Denki University, Saitama, Japan and Technical University of Munich, Germany.

 

Dr. Souparno Ghosh| Email | Office: MA 234 | 834-1654 | Website
Assistant Professor | Ph.D. 2009 Texas A&M


Souparno Ghosh

Research Interests: Bayesian Hierarchical Modeling, Geostatistics, Point processes, Statistical Ecology

Souparno Ghosh received his PhD in Statistics in 2009 from Texas A&M University. He was a postdoctoral associate in the Department of Statistical Science in Duke University from Fall 2009 through Summer 2012. Dr. Ghosh joined Texas Tech as an assistant professor in Fall 2012. His primary research interests lie in Bayesian hierarchical modeling, geostatistics and point processes. He has been working on statistical modeling of ecological processes since 2009. Dr. Ghosh's current research projects include: Model based distance sampling for rare animal species, Integral Projection Models for inference on plant demography, Bayesian molding approach for deterministically driven stochastic models.

 

Dr. David Gilliam| Email | Office: MA 103 | 834-2740 | Website
Professor | Ph.D. 1977 University of Utah


David Gilliam

Research Interests: Applied Mathematics, Analysis, Control Theory, and Partial Differential Equations

David S. Gilliam came to Texas Tech University in 1977 and has been a Professor of Mathematics since 1990. During this period he has held visiting positions at Arizona State University, Colorado School of Mines, University of Texas at Dallas, and Washington University in St. Louis. He was an affiliate professor of Systems Science and Mathematics at Washington University in St. Louis from 1989-2006. His research interests have been quite diverse. His dissertation was in an area of abstract functional analysis but he soon turned to problems in the theory of partial differential equations of mathematical physics. In 1986 he began working in distributed parameter systems and the solution of ill-posed inverse problems. His current main research interests are in the control of distributed parameter systems governed by partial differential equations.

 

Dr. Alastair Hamilton| Email | Office: MA 248 | 834-5919 | Website
Assistant Professor | Ph.D. 2005 Bristol University


Alastair Hamilton

Research Interests: Algebra, Geometry, Mathematical Physics, and Topology

Alastair Hamilton joined the mathematics department in the fall of 2010. Prior to this, he spent three years at the University of Connecticut as a postdoctoral fellow and a year at the Max Planck Institut fur Mathematic in Bonn, Germany. He received his Ph.D. from the University of Bristol in 2005 and his master's degree from the same institution in 2002. His research interests lie in algebra and topology. His research explores the connections between these areas and parts of mathematical physics, such as quantum field theory.

 

Dr. Gary Harris| Email | Office: MA 104 | 834-2411
Professor | Ph.D. 1977 University of Kentucky


Gary Harris

Research Interests: Complex Variables and Mathematics Education

Gary A. Harris is Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University. He received his undergraduate degree in mathematics and physics from Carson-Newman College, and his graduate degrees in mathematics from the University of Kentucky. His doctoral dissertation and subsequent disciplinary research involved local function theory and geometry on submanifolds of complex Euclidean n-space. Dr. Harris' current research relates to all issues involving the mathematics preparation of future middle school and high school mathematics teachers, as well as, the professional development of practicing teachers, with particular focus on teachers' math content knowledge.

 

Dr. Raegan Higgins| Email | Office: MA 214 | 834-1747 | Website
Assistant Professor | Ph.D. 2008 University of Nebraska-Lincoln


Raegan Higgins

Research Interests: Applied Mathematics, Dynamic Equations, Ordinary Differential Equations, and Time Scales

Raegan Higgins is an Assistant Professor in the Department of Mathematics and Statistics at Texas Tech University. She received her Bachelorís Degree in Mathematics from Xavier University of Louisiana in 2002 and her Doctorate in Mathematics from the University of Nebraska-Lincoln in 2008. Her current research is in time scales; her interests focus on oscillation criteria for certain linear and nonlinear second order dynamic equations. She is also interested in applications of time scales to biology, economics, engineering, and statistics.

 

Dr. Luan Hoang| Email | Office: MA 208 | 834-3060 | Website
Associate Professor | Ph.D. 2005 Texas A&M University


Luan Hoang

Research Interests: Partial Differential Equations

Luan T Hoang received his Bachelor's degrees in Mathematics and in Information Technology from National University, Hochiminh city, Vietnam, in 1997. He received his Master's degree from Arizona State University in 2000, and Ph.D. degree from Texas A&M University in 2005. His research interests are partial differential equations, dynamical systems and fluid dynamics.

 

Dr. Victoria Howle| Email | Office: MA 243 | 834-8770 | Website
Associate Professor | Ph.D. 2001 Cornell University


Victoria Howle

Research Interests: Numerical Analysis

Victoria Howle's research is in applied mathematics with a focus mainly on numerical linear algebra. Her main research interests have been in physics-based preconditioning for incompressible fluid flow problems, developing iterative methods and preconditioners for the solution of highly ill-conditioned systems that arise in faulted electrical power networks, and fault-tolerant linear algebra.

 

Dr. Akif Ibragimov| Email | Office: MA 233 | 834-4501 | Website
Professor | Ph.D. 1985 Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow


Akif Ibragimov

Research Interests: Applied Mathematics, Analysis, Industrial Mathematics, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Partial Differential Equations

Akif Ibragimov obtained his Master's degree in Mathematics in 1975 from the Azerbaijan Oil Academy. He also interned at the Department of Computational Mathematics and Cybernetics (CMC) of Lomonosov Moscow State University (MSU) in 1974 and 1975 and one year later, in June 1976 Akif defended his PhD thesis at the CMC Department of MSU. During the next 10 years his research was focused on the Qualitative Theory of Partial Differential Equations and in 1985 he defended his dissertation at the Steklov Mathematical Institute of the Russian Academy of Sciences in Moscow, and obtained the degree Doctor of Science in Mathematics. Since then his research interests diversified; he worked at several academics and industrial positions in Russia, Azerbaijan and USA. From 2000-2004 he was a Visiting Professor at Texas A&M University, and Research Scientist at Knowledge Based Systems in College Station. Akif joined Texas Tech in September 2004. His research interests cover broad areas of applied mathematics including fluid flow in porous media, mathematical modeling in bio-medicine, fluid structure interaction, and image processing.

 

Dr. Ram Iyer| Email | Office: MA 204 | 834-3872 | Website
Associate Professor | Ph.D. 1999 University of Maryland, College Park


Ram Iyer

Research Interests: Applied Mathematics, Analysis, Computational Mathematics, Control Theory, Geometry, Mathematical Biology, Mathematical Physics, Ordinary Differential Equations, and Signal Processing

Ram Iyer's research interests are very broad and encompass several areas. He is currently working on the design of contact lenses for patients with keratoconus. This project encompasses the areas of optics, low Reynolds number fluid dynamics, inverse problems, and some statistics. Some of his most enduring research areas include modeling, analysis, identification, and control of systems with hysteresis. Other research areas Dr. Iyer has worked on include optimal control of systems on Riemannian manifolds, inertial navigation systems for micro air vehicles based on insect vision, and trajectory planning problems for micro air vehicles.

 

Dr. Sophia Jang| Email | Office: MA 227 | 834-7006 | Website
Associate Professor | Ph.D. 1990 Texas Tech University


Sophia Jang

Research Interests: Applied Mathematics and Mathematical Biology

Sophia R.-J. Jang received her Ph.D. in 1990 from Texas Tech University. She joined Texas Tech as an associate professor in Fall of 2008. Before returning to Tech, she was a faculty member at the University of Louisiana at Lafayette. Her main research activities are in mathematical biology and applied mathematics.

 

Dr. Lourdes Juan| Email | Office: MA 210 | 834-1416 | Website
Associate Professor | Ph.D. 2000 University of Oklahom


Lourdes Juan

Research Interests: Computer Algebra and Differential Algebra

Lourdes Juan received an undergraduate degree with honors (Titulo de Oro) in Mathematics from the University of Havana in 1991. From 1991-1995 she worked first as a trainee and then as a research resident in the department of Artificial Intelligence and Pattern Recognition of the Cuban Academy of Sciences. In 1995 she was granted the first student visa that the US government gave in Cuba since the 1960's to pursue doctoral studies at the University of Oklahoma. She graduated with a PhD in Mathematics in 2000 under the direction of Professor Andy Magid. She was a Postdoctoral Fellow at the Mathematical Sciences Research Institute in Berkeley during 2000-2001, and joined the Math Department of Texas Tech in the Fall of 2001 as an assistant professor. She is currently an associate professor with tenure. Her research interests include the Galois Theory of differential and difference equations, algebraic groups and computer algebra.

 

Dr. Arne Ledet| Email | Office: MA 206 | 834-8663 | Website
Associate Professor | Ph.D. 1996 University of Copenhagen


Arne Ledet

Research Interests: Algebra

Arne Ledet graduated from University of Copenhagen (Denmark) in 1992, and obtained his Ph.D. from the same institution in 1996. His subsequent postdoctoral employment included stays at Queen's University (Canada), MSRI (USA), Tokyo Metropolitan University (Japan), and University of Waterloo (Canada), before he came to Texas Tech in 2002 as Assistant Professor. His graduate and postgraduate work was in Galois theoretical embedding problems. Currently, his research is concerned with the related problem of constructing generic polynomials for Galois extensions. He is the co-author of a book on this subject, "Generic Polynomials" (with C. U. Jensen and N. Yui), published in 2002.

 

Dr. Jeffrey M Lee| Email | Office: MA 239 | 834-1215 | Website
Associate Professor | Ph.D. 1987 University of California, Los Angeles


Jeffrey M Lee

Research Interests: Differential Geometry, Geometric Analysis

Jeffrey M. Lee received his B.S. from Brigham Young University in 1982 and his M.A. and Ph.D. from University of California (Los Angeles) in 1984 and 1987, resp. He came to Texas Tech as an assistant professor in 1990 and, in 1996, he was appointed as an associate professor.

 

Dr. Wayne Lewis| Email | Office: MA 207 | 834-4209 | Website
Professor | Ph.D. 1977 University of Texas at Austin


Wayne Lewis

Research Interests: Continuum Theory, Geometric Topology, and Topological Dynamics

Wayne Lewis received his Ph.D. from the University of Texas at Austin in 1977. He has been on the faculty of the Department of Mathematics at Texas Tech University since 1977 and Professor of Mathematics since 1989. Dr. Lewis has research interests in continuum theory and in its relations to geometric topology and to topological dynamics. He has extensive results on hereditarily indecomposable continua, especially their structure, characterizations and mapping properties. He has given numerous short courses and workshops related to the subject.

 

Dr. Kevin Long| Email | Office: MA 102 | | Website
Associate Professor | Ph.D. 1991 Princeton


Kevin Long

Research Interests: Applied Mathematics, Computational Mathematics, and Numerical Analysis

Kevin Long's research is in scientific computing: ranging from work on developing efficient mathematical algorithms for large scale simulation and optimization, to the design of advanced software architectures for high-performance simulation, to application of computational simulation to problems in physics, engineering, biology, and national defense. Dr. Long joined Texas Tech in 2007, after nine years in the computational mathematics research department at Sandia National Laboratories in Livermore, California. Previously, he worked in industry at Beam Technologies, was on the physics faculty at the State University of New York at Brockport, and was a postdoctoral researcher at the University of Massachusetts. His undergraduate degree is in astronomy, from the University of Maryland. His graduate study was at Princeton University, where he received his PhD in theoretical astrophysics in 1991.

 

Dr. Hossein Mansouri| Email | Office: MA 247 | 834-8777 | Website
Professor | Ph.D. 1983 University of Kentucky


Hossein Mansouri

Research Interests: Biostatistics, Nonparametric Statistics, and Statistics

Hossein Mansouri is professor of statistics in the Department of Mathematics and Statistics at Texas Tech University and served as an associate dean in the College of Arts and Sciences from November 2001 to September 2010. He received a B.S. degree from the Institute of Statistics and Informatics in Iran, an M.S. in Statistics from the Ohio State University, and a Ph.D. from the University of Kentucky. Before joining the Department of Mathematics and Statistics at Texas Tech University in 1985, he served as a visiting assistant professor in the Department of Mathematics at Tulane University and in the Department of Statistics at the University of Kentucky. His research interests include nonparametric statistics with focus on the study and development of statistical methods based on ranks; and biostatistics with focus on studies in biomechanics.

 

Dr. Dermot McCarthy| Email | Office: MA 217 | 834-0191 | Website
Assistant Professor | Ph.D. 2010 University College Dublin


Dermot McCarthy

Research Interests: Number Theory and Special Functions

Dermot McCarthy joined the department in the fall of 2013. Prior to this, he spent three years in a visiting position at Texas A&M University. Dr. McCarthy received his Ph.D. in Mathematics from University College Dublin, Ireland, in 2010. His dissertation research was in the ways of the force and was completed under the direction of Mace Windu. His current research interests lie in number theory and special functions with particular focus on automorphic forms, hypergeometric functions and properties of algebraic varieties.

 

Dr. Chris Monico| Email | Office: MA 252 | 834-4144 | Website
Associate Professor | Ph.D. 2002 University of Notre Dame


Chris Monico

Research Interests: Algebra and Cryptography

Chris Monico received a B.S. in mathematics from Monmouth University, and the degrees of M.S. and Ph.D. from the University of Notre Dame. For the academic year 2002 Chris was a postdoctoral researcher at Notre Dame, before coming to Texas Tech in 2003. Dr. Monico's research has been primarily concerned with cryptology and certain computational algebra and number theoretic problems.

 

Dr. Kent Pearce| Email | Office: MA 201A | 742-2566 | Website
Chair & Professor | Ph.D. 1980 State University of New York at Albany


Kent Pearce

Research Interests: Complex Analysis

Kent Pearce received his B.S. and M.S. degrees in mathematics at Brigham Young University in 1972 and 1975, resp. In 1980, he received his Ph.D. in mathematics from State University of New York at Albany. Both his master's thesis and his doctoral dissertation were written on topics in the area of Geometric Function Theory in complex analysis. Dr. Pearce came to Texas Tech University in 1980 as an assistant professor and was promoted to Professor of Mathematics at Texas Tech in 1997. Dr. Pearce's research interests have focused on classical problems in Geometric Function Theory and applications of computing (computer algebra) to the verification of inequalities arising in such problems.

 

Dr. Lih-Ing Roeger| Email | Office: MA 202 | 834-6265 | Website
Associate Professor | Ph.D. 2000 Purdue University


Lih-Ing Roeger

Research Interests: Mathematical Biology, Difference Equations, and Dynamical Systems

Lih-Ing Wu Roeger received a B.S. degree in mathematics at National Taiwan University and an M.S. degree in applied mathematics at National Tsin-Hua University in Taiwan. In 2000, she received a Ph.D. degree in mathematics from Purdue University in West Lafayette, Indiana. Before coming to Texas Tech University in 2002, Dr. Roeger was an Assistant Professor at Berea College in Berea, Kentucky. Dr. Roeger's research specializations are mathematical biology and mathematical epidemiology. She had analyzed ordinary differential equation models for infectious diseases. She also studies the bifurcation dynamics as parameters were varied in the models. Her research agenda has been expanded to include discrete models, or difference equations.

 

Dr. Frits Ruymgaart| Email | Office: MA 225 | 834-1464 | Website
Horn Professor | Ph.D. 1973 Leiden University


Frits Ruymgaart

Research Interests: Applied Mathematics, Asymptotics, Functional Data Analysis, Perturbation Theory of Operators, Nonparametric Statistics, and Statistical Inverse Problems

Frits Ruymgaart's research concerns asymptotic theory of rank and order statistics; projection pursuit and robust statistics; large deviations and statistical applications; quantum probability; empirical processes and statistical applications; nonparametric classification; time series; random censoring; statistics in manifolds; ill-posed problems.

 

Dr. Lawrence Schovanec| Email | Office: MA 212 | | Website
Professor | Ph.D. 1982 Indiana University


Lawrence Schovanec

Research Interests: Solid Mechanics, Boundary Value Problems, Differential and Integral Equations

Lawrence Schovanec joined the faculty of Texas Tech University in 1982. He received a B.S. degree from Phillips University, a M.S. degree from Texas A&M University, and his Ph.D. from Indiana University. He has been a professor of mathematics since 1996 and he served as chair of the Department of Mathematics and Statistics from 1999 to 2008.

His early research dealt mainly with solid mechanics with an emphasis on dynamic fracture of elastic and viscoelastic materials. More recently his work has dealt with control theoretic aspects of biological systems and hybrid parameter models of biomechanical systems.

In 2008 he was appointed as the Interim Dean of the College of Arts and Sciences and in 2010 as the Dean. In 2012, he was appointed as the Interim President of Texas Tech University.

 

Dr. Carl Seaquist| Email | Office: MA 117D | 834-4177 | Website
Associate Professor | Ph.D. 1995 Auburn University


Carl Seaquist

Research Interests: History of Mathematics and Topology

Carl Seaquist received a B.A. in mathematics from the University of Alabama at Tuscaloosa. After working in the aerospace industry in Houston for three years he returned to school and received an S.M. in Computer Science from Massachusetts Institute of Technology. He then worked at Bell Laboratories for ten years, first as a custom VLSI designer, then as a software developer, and finally as manager of a group developing CAD for integrated circuit design. In 1990 he enrolled in graduate school in mathematics at Auburn University where he studied point set topology and received a Ph.D. He has been at Texas Tech University since 1995. His main interests are topology, topological graph theory, and teaching.

 

Dr. Philip Smith| Email | Office: MA 241 | 834-4352 | Website
Professor | Ph.D. 1972 Purdue University


Philip Smith

Research Interests: Applied Mathematics, Analysis, Computational Mathematics, and Numerical Analysis

Phil Smith received a BA from the University of Virginia (1968) and an MS and Ph. D. (1972) from Purdue University in Mathematics. Phil's first academic appointment was at Texas A&M in 1972. He has been a Visiting Research Professor at the University of Alberta and a Visiting Scientist at the IBM Watson Research Center. He was appointed to full Professor at Old Dominion University before joining Visual Numerics as first Manager of the Numerical Software Department and then Director of Numerical Software. In 1992 he became co-owner, VP, and Chief Technical Officer of Windward Technologies. In 1999, Phil joined the TTU Mathematics and Statistics department as a Professor. He was also named Director of the High Performance Computing Center. Dr. Smith's research areas are approximation theory, numerical analysis, optimization, numerical solution to PDEs, and parallel and grid computing. Much of his early research was on spline functions. He has worked on projects to model chemical and biological attacks on buildings, surface fitting to data clouds, non-conforming finite elements, and parallel quadrature algorithms.

 

Dr. Alexander Solynin| Email | Office: MA 231 | 834-7280 | Website
Professor | Ph.D. 1985 Institute of App;ied Mathematics & Mechanics, Academy of Sciences of Ukraine


Alexander Solynin

Research Interests: Complex Analysis, Potential Theory, and Qualitative Theory of Partial Differential Equations

Alexander Solynin received his Diplom (with honors) in Mathematics in 1980 from the Kuban State University, Krasnodar, Russia and his Ph.D. in 1985 from the Institute of Applied Mathematics & Mechanics, Academy of Sciences of Ukraine, Donetsk. From 1983 to 1989, he was an assistant professor of mathematics and from 1989 to 1990, an associate professor at the Kuban State University in Krasnodar, Russia. In 1990, Dr. Solynin joined the Steklov Institute of Mathematics at St. Petersburg, Russia, where he was a senior research fellow from 1993 to 2004. He came to Texas Tech University in Fall 2004 as an associate professor.

 

Dr. Jingyong Su| Email | Office: MA 211 | 834-4740 | Website
Assistant Professor | Ph.D. 2013 Florida State University


Jingyong Su

Research Interests: Statistical Shape and Trajectory Analysis, Medical Imaging, Computational Statistics

Jingyong Su joined the department as an assistant professor in the fall of 2013. Prior to this, he completed a Ph.D. in statistics at the Florida State University in the summer of 2013. Previously, he received a M.S. in computer science from Harbin Institute of Technology Shenzhen Graduate School in 2008 and a B.S. in electrical engineering from Harbin Institute of Technology in 2006. His current research interests include statistical trajectory analysis on manifolds with different applications, statistical shape analysis and medical imaging.

 

Dr. James Surles| Email | Office: MA 203 | 834-4729 | Website
Professor | Ph.D. 1999 University of South Carolina


James Surles

Research Interests: Applied Statistics, Reliability and Survival Analysis, and Statistics

James G. Surles received B.S. degrees in Mathematics and Computer Science from McNeese State University in 1995 and an M.S. and Ph.D. in Statistics from the University of South Carolina in 1997 and 1999, respectively. Dr. Surles came to Texas Tech University in 1999, where he is currently an Assistant Professor. His main research interests are Reliability and the Exponentiated Weibull and Burr type X lifetime models, but he also enjoys working with researchers from around Texas Tech on a variety of research projects.

 

Dr. Magdalena Toda| Email | Office: MA 201E | 834-7944
Professor | Ph.D. 2000 University of Kansas


Magdalena Toda

Research Interests: Geometry, Integrable Systems, Mathematical Physics, and Non-Linear Partial Differential Equations

Magdalena Toda came to the Texas Tech University in 2001 as an Assistant Professor. Her main research interests are in differential geometry and related integrable systems. She is especially interested in geometric solutions of partial differential equations, in particular non-linear PDEs which arise from integrable systems. Fluid flows, studied from a geometric view point, represent one of her research interests since 2004.

 

Dr. Alex Trindade| Email | Office: MA 228 | 834-6164 | Website
Professor | Ph.D. 2000 Colorado State University


Alex Trindade

Research Interests: Statistics

A. Alexandre Trindade earned a B.S. in Mathematics from the University of Southampton (U.K.) in 1988. He left Europe shortly thereafter to pursue graduate studies in the U.S., completing an M.A. in Mathematics at the University of Oklahoma in 1992. He worked as a programmer for the IBM Corporation in Dallas (Texas) for two years, before returning to graduate school in 1995. In 2000 he received a Ph.D. in Statistics from Colorado State University. From 2000 to 2007, Dr. Trindade was an assistant professor in the Department of Statistics at the University of Florida. He joined Texas Tech's Department of Mathematics and Statistics in Fall 2007. His main research interests include: time series; multivariate volatility modeling; state-space models and longitudinal data; saddle point-based bootstrap methodology and applications; asymptotic theory and higher-order approximations. His work on saddle point-based bootstrap has been funded by the National Security Agency. Dr. Trindade has extensive consulting experience; in 2003-04 he was the primary statistical consultant on a reliability project with The Boeing Company funded by DARPA, and in 2005 was contracted by Encision, Inc., for a reliability study on medical devices.

 

Dr. Alex Wang| Email | Office: MA 237 | 834-7626 | Website
Professor | Ph.D. 1989 Arizona State University


Alex Wang

Research Interests: System and Control Theory

Alex Wang received his B.S. and M.S. from Northwest Telecommunication Engineering Inst. (China) in 1982 and 1984, resp. He received his Ph.D. from Arizona State University in 1989. He came to Texas Tech as an visiting assistant professor in 1989 and, in 2004, he was appointed as a professor.

 

Dr. David Weinberg| Email | Office: MA 209 | 834-7958 | Website
Associate Professor | Ph.D. 1980 University of Wisconsin, Madison


David Weinberg

Research Interests: Algebraic Geometry

David Weinberg received his Bachelor's Degree from the University of Chicago in 1974 and his Ph.D. from the University of Wisconsin, Madison, in 1980. He came to Texas Tech in 1980 and was promoted to Associate Professor in 1986. He held appointments at the Mathematical Sciences Research Institute in Berkeley, CA in 1987, 1988, 1989, and 2004. His original research area was Fourier Analysis, but since the late 1980's his research areas have been Real Algebraic Geometry and Singularities of Plane Algebraic Curves.

 

Dr. Brock Williams| Email | Office: MA 244 | 834-1591 | Website
Professor | Ph.D. 1999 University of Tennessee, Knoxville


Brock Williams

Research Interests: Analysis, Complex Analysis, and Geometry

Brock Williams came to Texas Tech in 1999 after earning a Ph.D. from the University of Tennessee and a B.S. from Mississippi State University. Dr. Williams primary research interests are discrete conformal geometry and geometric function theory. In particular, he especially interested in the application of circle packing techniques to Riemann surfaces and quasiconformal maps. He is also involved in several funded projects involving STEM outreach and teacher preparation.