• Applied and Computational Mathematics
• Computational Fluid Dynamics (Large Eddy Simulation of Turbulent Flows, Geophysical Flows)
• Numerical Analysis (Subgrid-Scale Modeling, Mesh Adaptation )
• Scientific Computing (Industrial Projects)

• Wilkinson Fellow (Argonne National Laboratory, 2000-2002)
• Winner of SIAM Student Paper Prize (1999)
• Andrew Mellon Fellowship (University of Pittsburgh, 1999)
• Culver-Teplitz Award (University of Pittsburgh, 1997)

• National Science Foundation Grant DMS-0209309, Collaborative Research: Three-Dimensional Numerical Investigation of Density Currents, PI: Jinqiao Duan, CO-PI: Paul Fischer, Traian Iliescu, September 1, 2002 - August 31, 2005, $94,829.
  
  
• National Science Foundation Grant DMS-0322852, Scientific Computing Research Environment for the Mathematical Sciences (SCREMS), PI: Traian Iliescu, CO-PI: Jeff Borggaard, September 1, 2003 - August 31, 2005, $155,858.
  
  
• Air Force Office of Scientific Research Grant F49620-02-C-0048, Computational Methods for Design, Control and Optimization of Micro Air Vehicles, PI: John Burns, CO-PI: Jeff Borggaard, Eugene Cliff, Traian Iliescu, $600,000.
  
  
• National Science Foundation Grant DMS-0513542, Computation and Analysis of Reduced-Order Models for Distributed Parameter Systems, PI: Jeff Borggaard, CO-PI: Chris Beattie, Serkan Gugercin, Traian Iliescu, June 15, 2005 - June 14, 2008, $431,342.
  
  
• Air Force Office of Scientific Research Grant FA9550-05-1-0449, High Performance Parallel Algorithms for Improved Reduced-Order Modeling, PI: Jeff Borggaard, CO-PI: Chris Beattie, Serkan Gugercin, Traian Iliescu, August 15, 2005 - August 14, 2008, $157,422 (2005 budget).
  
  
• National Science Foundation Grant OCE-0620464, CMG Collaborative Research: A New Modeling Framework for Nonhydrostatic Simulations of Small-Scale Oceanic Processes, PI: Traian Iliescu, CO-PI: Jinqiao Duan, Paul Fischer, Tamay Ozgokmen, September 15, 2006 - September 14, 2009, $147,861.

• American Mathematical Society (AMS)
• Society for Industrial and Applied Mathematics (SIAM)
• American Physical Society (APS)

University of Pittsburgh: Performed classroom teaching, bi-weekly problem sessions, office hours and grading.

Virginia Tech: I have experience teaching the following courses:

• MA2224 - Multivariable Calculus
• MA2224H - Multivariable Calculus - Honors Section
• MA2214 - Introduction to Differential Equations
• MA3034 - Introduction to Proofs
• MA3214 - Calculus of Several Variables
• MA4445 - Introduction to Numerical Analysis
• MA4446 - Introduction to Numerical Analysis
• MA5524 - Matrix Theory
• MA5465 - Numerical Analysis
• MA5466 - Numerical Analysis
• MA5484 - Finite Element Methods for PDEs
• MA5474 - Finite Difference Methods for PDEs

Books and Monographs

1. Mathematics of Large Eddy Simulation of Turbulent Flows (with Luigi C. Berselli and William J. Layton), Springer Verlag, 2005.

Refereed Journal Articles

1. "Approximating the Larger Eddies in Fluid Motion III: the Boussinesq Model for Turbulent Fluctuations", (with W. J. Layton), An. St. Univ. "Al. I. Cuza", vol. 44, 1998, pp. 245-261.

2. "A Flow-Aligning Algorithm for Convection-Dominated Problems", Int. J. Num. Meth. Eng., vol. 46, No. 7, 1999, pp. 993-1000.

3. "A 3D Flow-Aligning Algorithm for Convection-Diffusion Problems", Appl. Math. Letters, vol. 4, No. 12, 1999, pp. 67-70.

4. "Mathematical Analysis for the Rational Large Eddy Simulation Model", (with L. C. Berselli, G. P. Galdi, and W. J. Layton), Math. Models Meth. Appl. Sc., vol. 12 (8), 2002, pp. 1131--1152.

5. "Convergence of Finite Element Approximations of Large Eddy Motion", (with V. John and W. J. Layton), Num. Meth. P.D.E.s, vol. 18(6), 2002, pp. 689-710.

6. "A numerical study of a class of LES models", (with V. John, W. J. Layton, G. Matthies and L. Tobiska), Int. J. Comput. Fluid Dyn., vol. 17 (1), 2003, pp. 75-85.

7. "A Higher Order Subfilter-Scale Model for Large Eddy Simulation", (with L. C. Berselli), J. Comp. Appl. Math., vol. 159, 2003, pp. 411-430.

8. "Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model", (with P. Fischer), Physics of Fluids, vol. 15(10), 2003, pp. 3036--3047.

9. "Backscatter in the Rational LES Model", (with P. Fischer), Computers and Fluids, vol. 33(5-6), 2004, pp. 783-790.

10. "Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model", (with T. Ozgokmen, P. Fischer, and J. Duan), J. Phys. Oceanogr., vol. 34(9), 2004, pp. 2006-2026.

11. "Entrainment in bottom gravity currents over complex topography from three-dimensional nonhydrostatic simulations", (with T. Ozgokmen, P. Fischer, and J. Duan), Geophys. Res. Letters vol. 31(13), L13212, 2004.

12. "Enstrophy and ergodicity of gravity currents", (with V.P. Bongolan-Walsh, J. Duan, H. Go, T. Ozgokmen, and P.F. Fischer), IMA Volumes in Mathematics and its Applications on SPDEs , Vol. 140 - Probability and Partial Differential Equations in Modern Applied Mathematics, eds: J. Duan and E.C. Waymire, Springer-Verlag, New York, pp. 61-74 (in press) 2004.

13. "Genuinely Nonlinear Models for Convection-Dominated Problems", Comput. Math. Appl. vol. 48, 2004, pp. 1677-1692.

14. "Impact of Boundary Conditions on Entrainment and Transport in Gravity Currents", (with V. P. Bongolan-Walsh, J. Duan, P. Fischer, and T. Ozgokmen), accepted in Applied Mathematical Modelling, vol. 31(7), 2007, pp. 1338-1350.

15. "Approximate Deconvolution Boundary Conditions for Large Eddy Simulation", (with J. Borggaard), DOI link, Appl. Math. Letters, vol. 19(8), 2006, pp. 735-740.

16. "A Bounded Artificial Viscosity Large Eddy Simulation Model," (with J. Borggaard and J. P. Roop), PDF file, under revision for SIAM J. Numer. Anal., October, 2006.

17. "An Improvement in the Penalty Method for the Power-Law Stokes Problems," (with J. Borggaard and J. P. Roop), PDF file, accepted in J. Comp. Appl. Math., April, 2008.

18. "Large Eddy Simulation of Stratified Mixing in Two-Dimensional Dam-Break Problem in a Rectangular Enclosed Domain", (with T. Ozgokmen, P. Fischer, A. Srinivasan, and J. Duan), Ocean Modelling, vol. 16, 2007, 106-140.

19. "A Two-Level Smagorinsky Model," (with J. Borggaard, H. Lee, J. P. Roop, and H. Son), to appear in Multiscale Modeling and Simulation, April, 2008.

Refereed Proceedings and Book Chapters

20. "Distribucion de Temperatura en las Esquinas de una Celda de Reduccion de Aluminio Tipo Hall-Heroult", (with E. Gutierrez, N. Troyani and W. J. Layton), IV Congreso Iberoamericano de Ingenieria Mecanica, Santiago de Chile, Chile, 1999.

21. "Corner Distribution of Voltage in Hall-Heroult Aluminum Reduction Cells", (with E. Gutierrez, N. Troyani and W. J. Layton), IV International Congress: Energy, Environment and Technological Innovation, Rome, 1999, pp. 1445-1451.

22. "The Center Section Temperature Distribution in Hall-Heroult Aluminum Reduction Cells from a Three-Dimensional Finite Element Simulation", (with E. Gutierrez, N. Troyani and W. J. Layton), International Thermal Energy Congress, Cesme, Izmir, Turkey, July 2001.

23. "A 3D Channel Flow Simulation at Re_{\tau}=180 Using a Rational LES Model", (with P. Fischer), Proceedings of Third AFOSR International Conference on DNS/LES, eds. C. Liu, L. Sakell, and T. Beutner, Greyden Press, 2001, pp. 283--290.

24. "Comparison of Numerical Noise in Design Objectives using LES and Turbulence Models", (with J. Borggaard, D. Pelletier and K. Vugrin), in Proceedings of the 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2004.

25. "A Domain Decomposition Approach to POD", (with C. Beattie, J. Borggaard, and S. Gugercin), in 45th IEEE Conference on Decision and Control, 2006.

26. "A numerical investigation of the boundary commutation error in large eddy simulation" (with J. Borggaard), PDF file, in Proceedings of ECCOMAS CFD 2006.

Other Publications

27. "Algoritmos Computacionales para Resolver el Problema Termoelectrico en Tres Dimensiones en Celdas de Reduccion de Aluminio del Tipo Hall-Heroult", (with E. Gutierrez, N. Troyani and W. J. Layton), Universidad Ciencia y Tecnologia, Vol. 3, No.12, pp. 17-24, 1999.

28. "Formulacion Variacional del Problema Termoelectrico de una Celda de Reduccion Hall-Heroult en Tres Dimensiones ", (with E. Gutierrez, N. Troyani and W. J. Layton), Universidad Ciencia y Tecnologia, Vol. 3, No. 9, pp. 25-29, 1999.

Invited Conference Presentations

• SIAM Annual Meeting, Toronto, Canada, July 1998.
• SIAM Annual Meeting, Atlanta, Georgia, May, 1999.
• SIAM Annual Meeting, Atlanta, Georgia, May, 1999.
• ICIAM99, Edinburgh, Scotland, July, 1999.
• Computational Fluid Dynamics and Related Topics summer school, Coimbra, Portugal, July, 1999.
• Workshop in Experimental, Computational and Mathematical Fluid Dynamics, Pittsburgh, November, 1999.
• Advanced Multiscale and Multiresolution Methods, Yosemite National Park, October 29 - November 1, 2000.
• Third AFOSR International Conference on DNS and LES TAICDL, Arlington, Texas, August 5-9, 2001.
• 54th Annual Meeting of the Division of Fluid Dynamics of the American Physical Society, San Diego, California, November 18-20, 2001.
• AMIF 2002, Third International Conference on Applied Mathematics for Industrial Flow Problems, Lisbon, Portugal, April 17-20, 2002.
• SIAM Annual Meeting, Philadelphia, July 12, 2002.
• SIAM Annual Meeting, Montreal, June 16, 2003.
• AMS Southeast Regional Meeting, Chapel Hill, October 24, 2003.
• European Geosciences Union, 1st General Assembly, Nice, France, 25-30 April, 2004.
• SIAM Annual Meeting, Portland, July 12-16, 2004.
• AMS Fall Eastern Section Meeting, Pittsburgh, November 6-7, 2004.
• The 57th Annual Meeting of the Division of Fluid Dynamics of the American Physical Society, Seattle, November 21-23, 2004.
• SIAM Conference on Computational Science and Engineering, Orlando, Florida, February 12-15, 2005.
• The 58th Annual Meeting of the Division of Fluid Dynamics of the American Physical Society, Chicago, November 20-22, 2005.
• Southeastern Section MAA and SIAM Southeast Atlantic Section Joint Meeting, Auburn, Alabama, March 31-April 1, 2006.
• ECCOMAS CFD 2006, European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006.
• SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February 19-23, 2007.
• SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, New Mexico, March 19-22, 2007.
• 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.
• Plenary Talk, Sandia CSRI Workshop on Mathematical Methods for Verification and Validation, Hyatt Regency Tamaya Resort, August 14-16, 2007.
• AMS Spring Central Meeting, Bloomington, IN, April 5-6, 2008.

Invited Colloquia and Seminars

• Seminars on Applied Mathematics and Numerical Analysis , IST, Lisbon, Portugal, May 28, 1999.
• Worcester Polytechnic Institute, Mathematics Department Seminar, February 2000.
• Iowa State University, Mathematics Department Seminar, February 2000.
• University of Nevada at Reno, Mathematics Department Seminar, February 2000.
• Old Dominion University, Mathematics Department Seminar, February 18, 2000.
• Argonne National Laboratory, Mathematics and Computer Science Division, March 2000.
• University of Hawaii, Mathematics Department Seminar, March 2000.
• University of Texas at Arlington, Mathematics Department Seminar, March 2000.
• Texas Tech, Mathematics Department Seminar, March 2000.
• Virginia Tech, Mathematics Department Seminar, April 2000.
• Clemson University, Mathematics Department Seminar, November, 2000.
• Illinois Institute of Technology, Mathematics Department Seminar, December, 2000.
• Virginia Tech, Mathematics Colloquium, May 2, 2003.
• Seconda Universita degli Studi di Napoli, Department of Mathematics, Caserta, Italy, May 23, 2005.
• Universita di Pisa, Department of Aerospace Engineering, Pisa, Italy, May 30, 2005.
• University of Ottawa, Department of Mathematics and Statistics, Ottawa, Canada, May 4, 2006.
• Universita di Pisa, Department of Applied Mathematics, Pisa, Italy, May 22, 2006.
• Laboratory for Modeling and Scientific Computing MOX, Department of Mathematics "F. Brioschi",
  Politecnico di Milano, Milano, Italy, May 24, 2006.
• University of Pittsburgh, Department on Mathematics Colloquium, October 27, 2006.

Other Presentations

• KESPWORK99, Kent Singular Perturbations Workshop, Kent State University, December 7, 1999.
• Finite Element Circus, Rutgers University, October 20-21, 2000.
• Virginia Tech, NA/PDE seminar, November 8, 2001.
• MCS Division Seminar, Argonne National Laboratory, May 2, 2002.
• Finite Element Circus, University of Pittsburgh, April 16-17, 2004.
• European Geosciences Union, poster presentation, 1st General Assembly, Nice, France, April 25-30, 2004.
• Workshop on Collaborations in the Mathematical Geosciences, poster presentation, Research Triangle Park, NC, October 6-7, 2005.

Sessions Organized/Co-Organized

• Multi-scale Fluid Flow: Theory and Computation at the AMS Southeast Regional Meeting, Chapel Hill, October, 2003.
• Computational Issues in Control of Complex Flows at the SIAM Annual Meeting, Portland, July 12-16, 2004.
• Emerging Finite Element Methods for Complex Flow at the SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February 19-23, 2007.
• Mathematics and Computations of Complex Flows at ICIAM07, the 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.