CURRICULUM VITAE

THOMAS WANNER

Dr.rer.nat. | (Ph.D.) | 1993 | Universität Augsburg (Germany), Mathematics |

Diplom | (M.S.) | 1991 | Universität Augsburg, Mathematics, Computer Science |

Vordiplom | (B.S.) | 1989 | Universität Augsburg, Mathematics, Computer Science |

Experience in Higher Education:

2011- | George Mason University, Professor |

2004-2011 | George Mason University, Associate Professor |

2002-2004 | George Mason University, Assistant Professor |

2002-2004 | University of Maryland, Baltimore County, Adjunct Assistant Professor |

1998-2002 | University of Maryland, Baltimore County, Assistant Professor |

1997-1998 | Universität Augsburg, Assistant Professor |

1996-1997 | Georgia Institute of Technology, Visiting Assistant Professor |

1995-1996 | Georgia Institute of Technology, Visiting Research Scholar |

1993-1995 | Universität Augsburg, Postdoctoral Fellow |

1989-1993 | Universität Augsburg, Teaching Assistant |

Fall 2017 | Hausdorff Research Institute for Mathematics, Bonn, Germany |

Spring 2014 | Institute for Mathematics and its Applications, Minneapolis, Minnesota |

Fall 2012 | Institute for Mathematics and its Applications, Minneapolis, Minnesota |

Summer 2010 | Isaac Newton Institute, Cambridge, United Kingdom |

Fall 2006 | Mathematical Sciences Research Institute, Berkeley, California |

2018-2023 | Simons Foundation Collaboration Grant (Award 581334, $42,000, PI), |

Topological methods in dynamical systems | |

2014-2018 | National Science Foundation Grant (DMS-1407087, $599,885, co-PI), |

EXTREEMS-QED: Undergraduate research in computational | |

and data-enabled mathematics | |

2011-2015 | National Science Foundation Grant (DMS-1114923, $180,000, PI), |

Probabilistic methods in computational topology | |

2009-2013 | National Science Foundation Grant (DMS-0907818, $105,000, PI), |

A hybrid of theoretical and computational methods for bifurcation analysis | |

2006-2012 | National Science Foundation Grant (DMS-0639300, $1,057,257, co-PI), |

CSUMS: Development of an ongoing program of undergraduate computational | |

mathematics research | |

2005-2010 | U.S. Department of Energy Grant (DOE-97889, $297,833, PI), |

Multiscale analysis of nonlinear systems using computational homology | |

2004-2009 | National Science Foundation Grant (DMS-0406231, $100,002, PI), |

Complex transient patterns in phase-field models | |

Other Research Support and Fellowships:

2014 | Faculty Study Leave, GMU |

2004 | Provost’s Tenure-Track Assistant Professor Leave, Spring Semester, GMU |

2003 | Provost’s Award for Summer Research Funding, GMU |

2001 | Summer Support, DOE Grant (Curtis Menyuk, UMBC) |

2000-2001 | DRIF-RAS Grant, UMBC |

1999 | Summer Faculty Fellowship, UMBC |

1996-1997 | Research Fellowship Wa 960/3-2, Deutsche Forschungsgemeinschaft |

1995-1996 | Research Fellowship Wa 960/3-1, Deutsche Forschungsgemeinschaft |

1991-1993 | Ph.D. Fellowship, Deutsche Forschungsgemeinschaft |

1989-1991 | Fellowship of the Studienstiftung des deutschen Volkes |

Publications:

Articles in refereed journals:

1. |
Validated bounds on embedding constants for Sobolev space Banach algebras. Mathematical Methods in the Applied Sciences, to appear. |

2. |
Analyzing the squared distance-to-measure gradient flow system with k-order Voronoi diagrams (with Patrick O’Neil). Discrete & Computational Geometry, to appear. |

3. |
Computer-assisted proof of heteroclinic connections in the one-dimensional Ohta-Kawasaki model (with Jacek Cyranka). SIAM Journal on Applied Dynamical Systems 17(1), pp. 694–731, 2018. |

4. |
Rigorous cubical approximation and persistent homology of continuous functions (with Pawel Dlotko). Computers and Mathematics with Applications 75(5), pp. 1648–1666, 2018. |

5. |
Rigorous continuation of bifurcation points in the diblock copolymer equation (with Jean-Philippe Lessard, Evelyn Sander). Journal of Computational Dynamics 4(1–2), pp. 71–118, 2017. |

6. |
Probabilistic estimates of the maximum norm of random Neumann Fourier series (with Dirk Blömker, Philipp Wacker). Communications in Nonlinear Science and Numerical Simulation 47, pp. 348–369, 2017. |

7. |
Computer-assisted equilibrium validation for the diblock copolymer model. Discrete and Continuous Dynamical Systems, Series A 37(2), pp. 1075–1107, 2017. |

8. |
Towards a formal tie between combinatorial and classical vector field dynamics (with Tomasz Kaczynski, Marian Mrozek). Journal of Computational Dynamics 3(1), pp. 17–50, 2016. |

9. |
Validated saddle-node bifurcations and applications to lattice dynamical systems (with Evelyn Sander). SIAM Journal on Applied Dynamical Systems 15(3), pp. 1690–1733, 2016. |

10. |
Topological microstructure analysis using persistence landscapes (with Pawel Dlotko). Physica D: Nonlinear Phenomena 334(1), pp. 60–81, 2016. |

11. |
Degenerate nucleation in the Cahn-Hilliard-Cook model (with Dirk Blömker, Evelyn Sander). SIAM Journal on Applied Dynamical Systems 15(1), pp. 459–494, 2016. |

12. |
Rigorous validation of isolating blocks for flows and their Conley indices (with Thomas Stephens). SIAM Journal on Applied Dynamical Systems 13(4), pp. 1847–1878, 2014. |

13. |
A randomized subdivision algorithm for determining the topology of nodal sets (with Gregory S. Cochran, Pawel Dlotko). SIAM Journal on Scientific Computing 35(5), pp. B1034–B1054, 2013. |

14. |
Branch interactions and long-term dynamics for the diblock copolymer model in one dimension (with Ian Johnson, Evelyn Sander). Discrete and Continuous Dynamical Systems, Series A 33(8), pp. 3671–3705, 2013. |

15. |
Coreduction homology algorithm for regular CW-complexes (with Pawel Dlotko, Tomasz Kaczynski, Marian Mrozek). Discrete & Computational Geometry 46(2), pp. 361–388, 2011. |

16. |
The dynamics of nucleation in stochastic Cahn-Morral systems (with Jonathan P. Desi, Hanein Edrees, Joseph J. Price, Evelyn Sander). SIAM Journal on Applied Dynamical Systems 10(2), pp. 707–743, 2011. |

17. |
Coreduction homology algorithm for inclusions and persistent homology (with Marian Mrozek). Computers and Mathematics with Applications 60(10), pp. 2812–2833, 2010. |

18. |
Topology-guided sampling of nonhomogeneous random processes (with Konstantin Mischaikow). Annals of Applied Probability 20(3), pp. 1068–1097, 2010. |

19. |
Nucleation in the one-dimensional stochastic Cahn-Hilliard model (with Dirk Blömker, Bernhard Gawron). Discrete and Continuous Dynamical Systems, Series A 27(1), pp. 25–52, 2010. |

20. |
Homology metrics for microstructure response fields in polycrystals (with Edwin R. Fuller, David M. Saylor). Acta Materialia 58(1), pp. 102–110, 2010. |

21. |
Verified homology computations for nodal domains (with Sarah Day, William D. Kalies). SIAM Journal on Multiscale Modeling & Simulation 7(4), pp. 1695–1726, 2009. |

22. |
A semi-implicit spectral method for stochastic nonlocal phase-field models (with Tina Hartley). Discrete and Continuous Dynamical Systems, Series A 25(2), pp. 399–429, 2009. |

23. |
Rigorous numerics for the Cahn-Hilliard equation on the unit square (with Stanislaus Maier-Paape, Ulrich Miller, Konstantin Mischaikow). Revista Matematica Complutense 21(2), pp. 351–426, 2008. |

24. |
Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation (with Dirk Blömker, Stanislaus Maier-Paape). Transactions of the American Mathematical Society 360(1), pp. 449–489, 2008. |

25. |
Probabilistic and numerical validation of homology computations for nodal domains (with Sarah Day, William D. Kalies, Konstantin Mischaikow). Electronic Research Announcements of the American Mathematical Society 13, pp. 60–73, 2007. |

26. |
Structure of the attractor of the Cahn-Hilliard equation on a square (with Stanislaus Maier-Paape, Konstantin Mischaikow). International Journal of Bifurcation and Chaos 17(4), pp. 1221–1263, 2007. |

27. |
A Hermite spectral method for the computation of homoclinic orbits and associated functionals (with Valeriy Korostyshevskiy). Journal of Computational and Applied Mathematics 206(2), pp. 986–1006, 2007. |

28. |
Probabilistic validation of homology computations for nodal domains (with Konstantin Mischaikow). Annals of Applied Probability, 17(3), pp. 980–1018, 2007. |

29. |
Complex transient patterns on the disk (with Jonathan P. Desi, Evelyn Sander). Discrete and Continuous Dynamical Systems, Series A, 15(4), pp. 1049–1078, 2006. |

30. |
Topological simplification of nonautonomous difference equations (with Bernd Aulbach). Journal of Difference Equations and Applications, 12(3-4), pp. 283–296, 2006. |

31. |
Evolution of pattern complexity in the Cahn-Hilliard theory of phase separation (with Marcio Gameiro, Konstantin Mischaikow). Acta Materialia, 53(3), pp. 693–704, 2005. |

32. |
Maximum norms of random sums and transient pattern formation. Transactions of the American Mathematical Society, 356(6), pp. 2251–2279, 2004. |

33. |
Polarization decorrelation in optical fibers with randomly varying elliptical birefringence (with Brian S. Marks, Curtis R. Menyuk, John Zweck). Optics Letters, 28(19), pp. 1799–1801, 2003. |

34. |
Pattern formation in a nonlinear model for animal coats (with Evelyn Sander). Journal of Differential Equations, 191(1), pp. 143–174, 2003. |

35. |
Invariant foliations and decoupling of non-autonomous difference equations (with Bernd Aulbach). Journal of Difference Equations and Applications, 9(5), pp. 459–472, 2003. |

36. |
Existence and uniqueness of risk-sensitive estimates (with James Lo). IEEE Transactions on Automatic Control, 47(11), pp. 1945–1948, 2002. |

37. |
Enstrophy dynamics of stochastically forced large-scale geophysical flows (with Dirk Blömker, Jinqiao Duan). Journal of Mathematical Physics, 43(5), pp. 2616–2626, 2002. |

38. |
Roughness in surface growth equations (with Dirk Blömker, Stanislaus Maier-Paape). Interfaces and Free Boundaries, 3(4), pp. 465–484, 2001. |

39. |
Spinodal decomposition for the Cahn-Hilliard-Cook equation (with Dirk Blömker, Stanislaus Maier-Paape). Communications in Mathematical Physics, 223(3), pp. 553–582, 2001. |

40. |
Surface roughness in molecular beam epitaxy (with Dirk Blömker, Stanislaus Maier-Paape). Stochastics and Dynamics, 1(2), pp. 239–260, 2001. |

41. |
Slow motion in higher-order systems and Γ-convergence in one space dimension (with William D. Kalies, Robert C.A.M. VanderVorst). Nonlinear Analysis: Theory, Methods, and Applications, 44(1), pp. 33–57, 2001. |

42. |
Unexpectedly linear behavior for the Cahn-Hilliard equation (with Evelyn Sander). SIAM Journal on Applied Mathematics, 60(6), pp. 2182–2202, 2000. |

43. |
The Hartman-Grobman theorem for Caratheodory type differential equations in Banach spaces (with Bernd Aulbach). Nonlinear Analysis: Theory, Methods, and Applications, 40(1-8), pp. 91–104, 2000. |

44. |
Spinodal decomposition for multicomponent Cahn-Hilliard systems (with Stanislaus Maier-Paape, Barbara Stoth). Journal of Statistical Physics, 98(3-4), pp. 871–896, 2000. |

45. |
Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions: Nonlinear dynamics (with Stanislaus Maier-Paape). Archive for Rational Mechanics and Analysis, 151(3), pp. 187–219, 2000. |

46. |
Monte Carlo simulations for spinodal decomposition (with Evelyn Sander). Journal of Statistical Physics 95(5-6), pp. 925–948, 1999. |

47. |
Dissipative quasigeostrophic dynamics under random forcing (with James R. Brannan, Jinqiao Duan). Journal of Mathematical Analysis and Applications 228(1), pp. 221–233, 1998. |

48. |
Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions. Part I: Probability and wavelength estimate (with Stanislaus Maier-Paape). Communications in Mathematical Physics 195(2), pp. 435–464, 1998. |

49. |
Solutions of nonlinear planar elliptic problems with triangle symmetry (with Stanislaus Maier-Paape). Journal of Differential Equations 136(1), pp. 1–34, 1997. |

50. |
Perturbation of doubly periodic solution branches with applications to the Cahn-Hilliard equation (with Paul C. Fife, Hansjörg Kielhöfer, Stanislaus Maier-Paape). Physica D: Nonlinear Phenomena 100(3-4), pp. 257–278, 1997. |

51. |
Linearization of random dynamical systems. Dynamics Reported 4, pp. 203–269, 1995. |

52. |
Supersolvable and modularly complemented matroid extensions (with Günter M. Ziegler). European Journal of Combinatorics 12(4), pp. 341–360, 1991. |

53. |
On the chromaticity of certain subgraphs of a q-tree. Journal of Graph Theory 13(5), pp. 597–605, 1989. |

54. |
Computer-assisted bifurcation diagram validation and applications in materials science. Proceedings of Symposia in Applied Mathematics, Vol. 74, pp. 123–174. American Mathematical Society, Providence, 2018. |

55. |
Phase separation in stochastic Cahn-Hilliard models (with Dirk Blömker, Stanislaus Maier-Paape). Mathematical Methods and Models in Phase Transitions, edited by A. Miranville, pp. 1–41. Nova Science Publishers, 2005. |

56. |
Invariant foliations for Caratheodory type differential equations in Banach spaces (with Bernd Aulbach). Advances in Stability Theory at the End of the 20th Century, edited by A.A. Martynyuk, Stability and Control: Theory, Methods and Applications, Vol. 13, pp. 1–14. Taylor and Francis, London, 2003. |

57. |
Integral manifolds for Caratheodory type differential equations in Banach spaces (with Bernd Aulbach). Six Lectures on Dynamical Systems, edited by B. Aulbach and F. Colonius, pp. 45–119. World Scientific, Singapore, 1996. |

58. |
Topological analysis of the diblock copolymer equation. In: Y. Nishiura, M. Kotani (editors), Mathematical Challenges in a New Phase of Materials Science, Springer Proceedings in Mathematics & Statistics 166, pp. 27–51, Springer-Verlag, 2016. |

59. |
Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying elliptical birefringence (with Brian S. Marks, Curtis R. Menyuk, John Zweck). Optical Fiber Communication Conference 2003, Technical Digest, pp. 370–372, 2003. |

60. |
Spinodal decomposition: A survey of recent results (with Stanislaus Maier-Paape, Evelyn Sander). In: B. Fiedler, K. Gröger, and J. Sprekels (editors), Equadiff 99, Proceedings of the International Conference on Differential Equations, Volume 2, pp. 1288–1299, World Scientific, 2000. |

61. |
Spinodal decomposition for the stochastic Cahn-Hilliard equation (with Dirk Blömker, Stanislaus Maier-Paape). In: B. Fiedler, K. Gröger, and J. Sprekels (editors), Equadiff 99, Proceedings of the International Conference on Differential Equations, Volume 2, pp. 1265–1267, World Scientific, 2000. |

62. |
Spinodal decomposition in the linear Cahn-Hilliard model (with Stanislaus Maier-Paape). Zeitschrift für Angewandte Mathematik und Mechanik 78(S3), pp. S1003–S1004, 1998. |

63. |
Qualitative behavior of random differential equations. In: D. Bainov and A. Dishliev (editors), Proceedings of the Fifth International Colloquium on Differential Equations, Volume 2, pp. 242–257, SCT Publishing, 1995. |

64. |
Editorial: Topology in dynamics, differential equations, and data (with Sarah Day, Robert C.A.M. VanderVorst). Physica D: Nonlinear Phenomena 334(1), pp. 1–3, 2016. |

65. |
Review of Computational Homology by T. Kaczynski, K. Mischaikow, and M. Mrozek. SIAM Review, 48(1), pp. 202–204, 2006. |

66. |
Zur Linearisierung zufälliger dynamischer Systeme. Ph.D. thesis, Universität Augsburg, Germany, 172 pages, 1993. |

67. |
Invariante Faserbündel und topologische Äquivalenz bei dynamischen Prozessen. M.S. thesis, Universität Augsburg, Germany, 135 pages, 1991. |

Manuscripts submitted for publication:

68. |
Linking combinatorial and classical dynamics: Conley index and Morse decompositions (with Bogdan Batko, Tomasz Kaczynski, Marian Mrozek). |

69. |
A Lefschetz fixed point theorem for multivalued maps of finite spaces (with Jonathan Barmak, Marian Mrozek). |

70. |
Theory and Numerics of Partial Differential Equations (book manuscript, with Evelyn Sander). |

2017 | Patrick O’Neil: Analyzing and Extending the Distance-to-Measure Gradient |

Flow using Higher Order Voronoi Diagrams, | |

Ph.D. in Mathematics, GMU. | |

2016 | Thomas Stephens: Topological Methods for Evolution Equations, |

Ph.D. in Mathematics, GMU. | |

2011 | Gregory S. Cochran: Optimal Sampling of Random Fields for Topological Analysis, |

Ph.D. in Mathematics, GMU. | |

2009 | Andrew Corrigan: Kernel-Based Meshless Methods, |

Ph.D. in Computational Mathematics, GMU. | |

2008 | Tina R. Hartley: An Analysis of Phase Separation Processes for Stochastic |

and Nonlocal Extensions of the Classical Phase-Field Model, | |

Ph.D. in Computational Mathematics, GMU. | |

2005 | Valeriy R. Korostyshevskiy: A Hermite Spectral Approach to Homoclinic |

Solutions of Ordinary Differential Equations, | |

Ph.D. in Applied Mathematics, UMBC. | |

2017 | Mahendra Panagoda: Swarm Dynamics and Mean-Field Games, |

M.S. in Mathematics, GMU. | |

2011 | Mike Atkins: Long Term Dynamics of the Di-Block Copolymer Model on |

Higher Dimensional Domains, M.S. in Mathematics, GMU. | |

2008 | Elan Rodan: Successive Continuation for Locating Connecting Orbits, |

M.S. in Mathematics, GMU. | |

2004 | Jonathan P. Desi: A Study of the Cahn-Hilliard Equation on the Unit Disk, |

M.S. in Applied Mathematics, UMBC. | |

2002 | Jennifer E. Deering: Computation of the Bifurcation Structure of the |

Cahn-Hilliard Equation, M.S. in Applied Mathematics, UMBC. | |

2018 | Micheal Belete: Stable Annulus Solution for the Diblock Copolymer Equation, |

EXTREEMS Undergraduate Research Project, GMU. | |

2018 | Andrew Hornstra: Diblock Copolymer Modeling in 3D, |

EXTREEMS Undergraduate Research Project, GMU. | |

2017 | Hye Kyung Kim: Dynamics of Red Coral Populations, |

EXTREEMS Undergraduate Research Project, GMU. | |

2016 | Harout Boujakjian: Meta-Stability of the Allen-Cahn Fractional Differential Equation , |

MEGL Undergraduate Research Project, GMU. | |

2016 | Kathleen McLane: Meta-Stability of the Allen-Cahn Fractional Differential Equation , |

MEGL Undergraduate Research Project, GMU. | |

2016 | Conor Nelson: Meta-Stability of the Allen-Cahn Fractional Differential Equation , |

MEGL Undergraduate Research Project, GMU. | |

2015 | James Trichilo: Frequency Domain Analysis of the Diblock Copolymer Equation, |

EXTREEMS Undergraduate Research Project, GMU. | |

2014 | Mahmoud Namazi: Nucleation in a Two-Component Metal Alloy, |

CSUMS Undergraduate Research Project, GMU. | |

2013 | Kalea Sebesta: Nucleation in a Two-Component Metal Alloy, |

REU Undergraduate Research Project, GMU. | |

2011 | Ian Johnson: Continuation Analysis for the Diblock-Copolymer Equation in |

One Dimension, CSUMS Undergraduate Research Project, GMU. | |

2010 | Olga Stulov: Stability of Equilibria in 1D for the Diblock-Copolymer |

Equation, REU Undergraduate Research Project, GMU. | |

2010 | James O’Beirne: The Dynamics of Nucleation in Stochastic Cahn-Morral |

Systems, CSUMS Undergraduate Research Project, GMU. | |

2009 | Colleen Ackerman: The Dynamics of Nucleation in Stochastic Cahn-Morral |

Systems, REU Undergraduate Research Project, GMU. | |

2009 | William Hardesty: The Dynamics of Nucleation in Stochastic Cahn-Morral |

Systems, REU Undergraduate Research Project, GMU. | |

2009 | Thomas Stephens: Nonlocal Extensions of the Classical Phase Field Model, |

CSUMS Undergraduate Research Project, GMU. | |

2008 | Hanein Edrees: The Dynamics of Nucleation in Stochastic Cahn-Morral |

Systems, CSUMS Undergraduate Research Project, GMU. | |

2008 | Jonathan Price: The Dynamics of Nucleation in Stochastic Cahn-Morral |

Systems, CSUMS Undergraduate Research Project, GMU. | |

2005 | Ravi Kappiyoor: Microstructure Response Isosurfaces for Low Thermal |

Expansion Polycrystals, Summer Research Project, GMU & NIST. | |

2003 | Eli Leyman: Solidification Phenomena in Pure Materials, |

Summer Research Project, GMU. | |

2003 | Jonathan P. Desi: A Numerical Study of Nucleation in Stochastic |

Cahn-Morral Systems, Undergraduate Senior Thesis, UMBC. | |

Courses Taught:

Fall 2018 | Math 478 | Introduction to PDEs with Numerical Methods |

Math 677 | Ordinary Differential Equations | |

Spring 2018 | Math 406 | Honors Thesis in Mathematics II |

Math 689 | Bifurcation Theory | |

Fall 2017 | Math 213 | Analytic Geometry and Calculus III |

Math 405 | Honors Thesis in Mathematics | |

Math 675 | Linear Analysis I | |

Spring 2017 | Math 214 | Elementary Differential Equations |

Math 784 | Nonlinear Functional Analysis | |

Fall 2016 | Math 213 | Analytic Geometry and Calculus III |

Math 478 | Introduction to PDEs with Numerical Methods | |

Spring 2016 | Math 213 | Analytic Geometry and Calculus III |

Math 625 | Numerical Linear Algebra | |

Fall 2015 | Math 213 | Analytic Geometry and Calculus III |

Math 405 | Honors Thesis in Mathematics | |

Math 677 | Ordinary Differential Equations | |

Spring 2015 | Math 446 | Numerical Analysis I |

Math 689 | Computational Topology | |

Math 795 | Graduate Seminar | |

Fall 2014 | Math 213 | Analytic Geometry and Calculus III |

Math 478 | Introduction to PDEs with Numerical Methods | |

Fall 2013 | Math 214 | Elementary Differential Equations |

Math 678 | Partial Differential Equations | |

Summer 2013 | Math 478 | Introduction to PDEs with Numerical Methods |

Spring 2013 | Math 214 | Elementary Differential Equations |

Math 784 | Nonlinear Functional Analysis | |

Spring 2012 | Math 315 | Advanced Calculus I |

Math 625 | Numerical Linear Algebra | |

Fall 2011 | Math 213 | Analytic Geometry and Calculus III |

Math 781 | Advanced Methods in Applied Mathematics | |

Summer 2011 | Math 478 | Introduction to PDEs with Numerical Methods |

Spring 2011 | Math 125 | Discrete Mathematics I |

Math 689 | Evolution Equations | |

Fall 2010 | Math 675 | Linear Analysis I |

Summer 2010 | Math 493 | Topics in Applicable Mathematics |

Spring 2010 | Math 114 | Analytic Geometry and Calculus II |

Math 686 | Numerical Solution of Differential Equations | |

Fall 2009 | Math 213 | Analytic Geometry and Calculus III |

Math 781 | Advanced Methods in Applied Mathematics | |

Spring 2009 | Math 213 | Analytic Geometry and Calculus III |

Math 625 | Numerical Linear Algebra | |

Fall 2008 | Math 685 | Numerical Analysis |

Spring 2008 | Math 214 | Elementary Differential Equations |

Math 678 | Partial Differential Equations | |

Fall 2007 | Math 677 | Ordinary Differential Equations |

Summer 2007 | Math 493 | Topics in Applicable Mathematics |

Spring 2007 | Math 625 | Numerical Linear Algebra |

Math 689 | Nonlinear Functional Analysis | |

Spring 2006 | Math 114 | Analytic Geometry and Calculus II |

Math 686 | Numerical Solution of Differential Equations | |

Fall 2005 | Math 685 | Numerical Analysis |

Spring 2005 | Math 108 | Introductory Calculus with Business Applications |

Math 214 | Elementary Differential Equations | |

Fall 2004 | Math 113 | Analytic Geometry and Calculus I |

Math 689 | Computational Algebraic Topology | |

Fall 2003 | Math 111 | Linear Mathematical Modeling |

Math 675 | Linear Analysis I | |

Spring 2003 | Math 414 | Modern Applied Mathematics II |

Math 673 | Dynamical Systems | |

Fall 2002 | Math 213 | Analytic Geometry and Calculus III |

Math 446 | Numerical Analysis I | |

University of Maryland, Baltimore County:

Spring 2002 | Math 302 | Introduction to Mathematical Analysis II |

Math 601 | Measure Theory | |

Fall 2001 | Math 301 | Introduction to Mathematical Analysis I (two sections) |

Math 699 | Introduction to Conley Index Theory (Reading course) | |

Spring 2001 | Math 302 | Introduction to Mathematical Analysis II |

Math 612 | Ordinary Differential Equations and Dynamical Systems | |

Math 699 | Introduction to Algebraic Topology (Reading course) | |

Fall 2000 | Math 221 | Introduction to Linear Algebra |

Math 301 | Introduction to Mathematical Analysis I | |

Math 699 | Practical Bifurcation and Stability Analysis (Reading course) | |

Spring 2000 | Math 225 | Introduction to Differential Equations |

Math 710 | Nonlinear Functional Analysis | |

Fall 1999 | Math 251 | Multivariable Calculus |

Math 251 | Multivariable Calculus (Honors section) | |

Math 614 | Partial Differential Equations | |

Math 699 | Introduction to Conley Index Theory (Reading course) | |

Spring 1999 | Math 152 | Calculus and Analytic Geometry II |

Math 611 | Applied Analysis | |

Math 699 | Introduction to Algebraic Topology (Reading course) | |

Fall 1998 | Math 151 | Calculus and Analytic Geometry I |

Professional Activities:

- Member of AMS, SIAM, DMV (German Mathematical Society).
- Editorial Board Member of
- Frontiers in Applied Dynamical Systems (since 2015),
- SIAM Journal on Applied Dynamical Systems (since 2015),
- Discrete and Continuous Dynamical Systems, Series B (since 2012),
- Physica D: Nonlinear Phenomena (since 2010),
- Mathematical Methods in the Applied Sciences (since 2009),
- Discrete and Continuous Dynamical Systems, Series S (2007–2012).

- Referee for Advances in Computational Mathematics, Applied Mathematics and Computation, Communications on Pure and Applied Mathematics, Computational Geometry: Theory and Applications, Discrete and Continuous Dynamical Systems, European Journal of Applied Mathematics, Foundations of Computational Mathematics, International Journal of Mathematics and Mathematical Sciences, Interfaces and Free Boundaries, Journal of Computational and Applied Mathematics, Journal of Computational Dynamics, Journal of Differential Equations, Journal of Dynamics and Differential Equations, Journal of Graph Theory, Journal of Mathematical Analysis and Applications, Journal of Physics A, Journal of Sound and Vibration, Nonlinear Analysis, Nonlinearity, Physica D, Proceedings of the American Mathematical Society, Proceedings of Symposia in Applied Mathematics, Random & Computational Dynamics, SIAM Journal on Applied Dynamical Systems, SIAM Journal on Applied Mathematics, SIAM Journal on Mathematical Analysis, SIAM Journal on Numerical Analysis, SIAM Journal on Scientific Computing, SIAM Review, Stochastics and Dynamics, Stochastics and Stochastics Reports, Transactions of the AMS, Zeitschrift für Angewandte Mathematik und Mechanik.
- Panelist for the National Science Foundation.
- Grant reviewer for National Science Foundation, Department of Energy, Chilean Science Foundation, Dutch Science Foundation, Israel Science Foundation, Portuguese Science Foundation.
- Co-Editor of a special issue of Physica D on “Topology in dynamics, differential equations, and data” (2014 – 2016).
- Organizer of various minisymposia, special sessions, and workshops:
- Session on Computational Dynamics in the Context of Data, ICMC Summer Meeting on Differential Equations, Sao Carlos, Brazil (February 2019).
- Workshop on Combinatorics, Enumeration, and Invariant Theory, George Mason University, Fairfax, Virginia (March 2010).
- Workshop on Computational Topology and Dynamics, Montana State University, Bozeman, Montana (August 2008).
- Minisymposium on Computational Topology and Dynamics, ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland (July 2007).
- Minisymposium on Stochastic Partial Differential Equations and Pattern Formation, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 2007).
- Special session on Formation and Dynamics of Patterns in Evolution Equations, AIMS Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France (June 2006).
- Workshop on Computational Homology and Materials Science, Georgia Institute of Technology, Atlanta, Georgia (February 2006).
- Minisymposium on Topological Analysis of Patterns, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 2005).
- Minisymposium on Stochastic Differential Equations: Dynamics and Applications, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 2001).
- Minisymposium on Pattern formation in the Cahn-Hilliard model, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 1999).

- Invited lectures and conference presentations:
1. “Combinatorial topological dynamics I: Linking combinatorial and classical dynamics.” Algebraic Topology in Data and Dynamics, Montana State University, Bozeman, Montana (July 10, 2018).

2. “Automatic differentiation, interval arithmetic, and computer-assisted proofs.” EXTREEMS Tutorial, George Mason University, Fairfax, Virginia (June 11, 2018).

3. “Bifurcation diagram verification for the diblock copolymer model.” DynamIC Seminar, Imperial College, London, England (November 21, 2017).

4. “Automatic differentiation, interval arithmetic, and computer-assisted proofs.” EXTREEMS Tutorial, George Mason University, Fairfax, Virginia (June 5-7, 2017).

5. “Rigorous continuation of equilibria and bifurcation points in the diblock copolymer equation.” BIRS Workshop on Rigorous Numerics for Infinite Dimensional Nonlinear Dynamics, Banff, Canada (May 8, 2017).

6. “Topological microstructure analysis using persistence landscapes.” Joint Mathematics Meetings, Atlanta, Georgia (January 4, 2017).

7. “Computer-assisted bifurcation diagram validation and applications in materials science.” Applied Mathematics Colloquium, University of Maryland, Baltimore County, Maryland (December 9, 2016).

8. “Topological quantification of microstructures.” CMaSC/CDS Colloquium, George Mason University, Fairfax, Virginia (November 21, 2016).

9. “Automatic differentiation, interval arithmetic, and computer-assisted proofs.” EXTREEMS Tutorial, George Mason University, Fairfax, Virginia (June 3, 2016).

10. “Rigorous level curve enclosures: From isolating blocks to bifurcation diagrams.” Winter School on Computational Mathematics, Bedlewo, Poland (lecture series, February 8, 10, and 11, 2016).

11. “Computer-assisted bifurcation diagram validation and applications in materials science.” AMS Short Course on Rigorous Numerics in Dynamics, Seattle, Washington (January 5, 2016).

12. “Computer-assisted proofs in differential equations.” GMUMS Seminar, George Mason University, Fairfax, Virginia (November 20, 2015).

13. “Rigorous validation of isolating blocks for flows.” DyToComp 2015: Dynamics, Topology, and Computations, Bedlewo, Poland (June 19, 2015).

14. “Dynamics of diblock copolymers.” EXTREEMS Faculty Talk, George Mason University, Fairfax, Virginia (May 26, 2015).

15. “Dynamics of phase separation.” DARPA Dynamics, Geometry and Big Data Sets Workshop, Arlington, Virginia (May 5, 2015).

16. “Dynamics of diblock copolymers: A case study in computer-assisted proofs.” Colloquium, Universität Augsburg, Germany (April 21, 2015).

17. “Droplet formation in binary and ternary stochastic systems.” X Americas Conference on Differential Equations and Nonlinear Analysis, Buenos Aires, Argentina (February 19, 2015).

18. “Multistability and long-term dynamics of the diblock copolymer model.” Mathematical Challenge to a New Phase of Materials Science, RIMS, Kyoto, Japan (August 8, 2014).

19. “Nucleation in three-component Cahn-Morral systems.” Sapporo Summer Conference on Dynamics of Patterns in Materials Science, Hokkaido University, Sapporo, Japan (July 31, 2014).

20. “Phase separation phenomena and partial attractor structure.” From Topological to Stochastic Techniques in Dynamical Systems, Lorentz Center, Leiden, Netherlands (June 23, 2014).

21. “Droplet formation in binary and ternary stochastic systems.” Applied Mathematics Seminar, McGill University, Montreal, Canada (April 7, 2014).

22. “Multistability in the diblock copolymer model.” RIMS Workshop on New Directions in Applied Dynamical Systems, Kyoto, Japan (March 13, 2014).

23. “Stochastic dynamics of droplet formation.” RIMS Workshop on New Directions in Applied Dynamical Systems, Kyoto, Japan (March 12, 2014).

24. “Randomized adaptive topology validation for nodal domains.” IMA Workshop on Algebraic Topology in Dynamics, Differential Equations, and Experimental Data, Minneapolis, Minnesota (February 11, 2014).

25. “Partial attractor structure — Two problems from materials science.” AIM Workshop on Rigorous Computation for Infinite Dimensional Nonlinear Dynamics, Palo Alto, California (August 29, 2013).

26. “An introduction to stochastic differential equations.” REU/URCM Seminar Series, George Mason University, Fairfax, Virginia (June 13, 2013).

27. “Droplet formation in binary and ternary stochastic systems.” IMA Special Workshop on Interactions among Localized Patterns in Dissipative Systems, Minneapolis, Minnesota (June 4, 2013).

28. “An introduction to stochastic ordinary differential equations.” IMA Tutorial on Stochastic Differential Equations, Minneapolis, Minnesota (January 11, 2013, two talks).

29. “Topology-guided sampling of complicated random patterns.” Dynamics and Patterns Seminar, University of Minnesota, Minneapolis, Minnesota (November 5, 2012).

30. “Stochastic nucleation dynamics.” IMA Dynamical Systems Seminar, Minneapolis, Minnesota (October 4, 2012).

31. “Randomized adaptive topology validation for excursion sets.” DyToComp 2012: Dynamics, Topology, and Computations, Bedlewo, Poland (June 25, 2012).

32. “Uncovering the bifurcation structure of the diblock copolymer model.” IV. Developers Workshop on the Conley-Morse Database Project, Kauai, Hawaii (March 21, 2012).

33. “Stochastic nucleation dynamics.” Spring Eastern Sectional Meeting of the American Mathematical Society, Washington, DC (March 17, 2012).

34. “Stochastic nucleation dynamics.” Oberseminar, Universität Augsburg, Germany (September 20, 2011).

35. “Topological quantification of microstructures.” Workshop on Microstructure Modeling in Drug Eluting Coatings, US Food and Drug Administration, Silver Spring, Maryland (September 6, 2011).

36. “Stochastic nucleation dynamics.” Foundations of Computational Mathematics, Budapest, Hungary (July 12, 2011).

37. “An introduction to stochastic differential equations.” URCM Seminar Series, George Mason University, Fairfax, Virginia (July 7, 2011).

38. “Probabilistic and numerical validation of homology computations for nodal domains.” Jagiellonian University, Krakow, Poland (October 21, 2010).

39. “Topology-guided sampling of Gaussian random fields.” Isaac Newton Institute, Cambridge, United Kingdom (June 25, 2010).

40. “The dynamics of nucleation in stochastic Cahn-Morral systems.” Joint SIAM/RSME-SCM-SEMA Meeting, Barcelona, Spain (May 31, 2010).

41. “Dynamics and morphology of phase separation.” SIAM-GMU Faculty Research Symposium, Fairfax, Virginia (November 6, 2009).

42. “The dynamics of nucleation in stochastic Cahn-Morral systems.” Fall Southeastern Sectional Meeting of the American Mathematical Society, Boca Raton, Florida (October 31, 2009).

43. “The dynamics of nucleation in stochastic Cahn-Morral systems.” Jagiellonian University, Krakow, Poland (October 13, 2009).

44. “Homology of complicated and random evolving patterns.” Sandia CSRI Workshop on Combinatorial Algebraic Topology, Santa Fe, New Mexico (August 29, 2009).

45. “The dynamics of nucleation in stochastic Cahn-Morral systems.” International Conference on Random Dynamical Systems, Chern Institute of Mathematics, Tianjin, China (June 8, 2009).

46. “Counting holes in microstructures: Topology and materials.” REU & URCM Research Seminar Series, George Mason University, Fairfax, Virginia (June 3, 2009).

47. “Topology-guided sampling of Gaussian random fields.” Workshop on Topology, Institute for Advanced Study, Princeton, New Jersey (April 1, 2009).

48. “Spinodal decomposition: Complex patterns and topology.” Soft Matter Laboratory, Yale University, New Haven, Connecticut (February 24, 2009).

49. “Determining the topology of random evolving patterns from discretizations.” LCDS Seminar, Brown University, Providence, Rhode Island (February 23, 2009).

50. “Homology computations for random nodal domains.” Annual Meeting of the American Mathematical Society, Washington, DC (January 6, 2009).

51. “Homology computations for random nodal domains.” Applied Mathematics Seminar, George Washington University, Washington, DC (November 18, 2008).

52. “Verified homology computations for nodal domains.” Computational Topology and Dynamics Workshop, Bozeman, Montana (August 12, 2008).

53. “Topology-guided sampling of complicated random patterns.” Foundations of Computational Mathematics, Hong Kong, China (June 16, 2008).

54. “Topology-guided sampling of complicated random patterns.” Rocky Mountain Conference on Dynamical Systems, Park City, Utah (May 16, 2008).

55. “Topology-guided sampling of complicated random patterns.” Oberseminar, Universität Augsburg, Germany (April 14, 2008).

56. “Counting holes in microstructures: Topology and materials.” Osher Lifelong Learning Institute, Fairfax, Virginia (April 1, 2008).

57. “Homological analysis of complicated random patterns.” Applied Dynamics Seminar, University of Maryland, College Park, Maryland (February 14, 2008).

58. “Topological quantification of complex microstructures.” US Food and Drug Administration, Silver Spring, Maryland (January 31, 2008).

59. “Homological analysis of complicated random patterns.” Mathematics Colloquium, Virginia Tech, Blacksburg, Virginia (November 30, 2007).

60. “Homological analysis of complicated random patterns.” CSUMS Lecture, College of William and Mary, Williamsburg, Virginia (November 12, 2007).

61. “Counting holes in microstructures: Topology and materials.” Science Showcase for High End High School Students, Fairfax, Virginia (October 19, 2007).

62. “Homological analysis of complicated random patterns.” GMU Applied and Computational Mathematics Seminar, Fairfax, Virginia (October 12, 2007).

63. “Uncertainty quantification for homology computations.” ICIAM 07: 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland (July 20, 2007).

64. “Der Cahn-Hilliard Attraktor in zwei Raumdimensionen.” Oberseminar, Universität Augsburg, Germany (July 12, 2007).

65. “Determining the topology of complex stochastic patterns from finite discretizations.” SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 30, 2007).

66. “Homological characterization of patterns.” Computational Homology and Fluid Dynamics Workshop, Atlanta, Georgia (March 1, 2007).

67. “Structure of the attractor of the Cahn-Hilliard equation on a square.” Seminar, Kyoto University, Kyoto, Japan (February 12, 2007).

68. “Homological analysis of complex transient patterns via discretizations.” Workshop on Topological and Computational Approaches to Dynamical Systems and Applications, Kyoto, Japan (February 9, 2007).

69. “Complex transient patterns and their topology.” Winter Meeting of the Canadian Mathematical Society, Toronto, Canada (December 11, 2006).

70. “Probabilistic and numerical validation of homology computations for nodal domains.” Dynamics and Control Seminar, Rutgers University, Piscataway, New Jersey (October 24, 2006).

71. “Probabilistic and numerical validation of homology computations for nodal domains.” Workshop on Application of Topology in Science and Engineering, MSRI, Berkeley, California (September 18, 2006).

72. “Zur Homologie von Knotengebieten zufälliger Fourierreihen.” Universität Augsburg, Germany (June 19, 2006).

73. “On the accuracy of homology computations for nodal domains.” DyToComp 2006: Dynamics, Topology, and Computations, Bedlewo, Poland (June 6, 2006).

74. “Topological quantification of complex microstructures.” Day of Computational Mathematics, Nowy Sacz, Poland (June 2, 2006).

75. “Computational homology and the evolution of complex patterns.” Graduate Seminar, George Mason University, Fairfax, Virginia (April 26, 2006).

76. “Complex transient patterns and their homology.” Duke University, Durham, North Carolina (April 3, 2006).

77. “Computational homology and the evolution of complex patterns.” College of William and Mary, Williamsburg, Virginia (March 24, 2006).

78. “Computational homology and the evolution of complex patterns.” New Jersey Institute of Technology, Newark, New Jersey (February 24, 2006).

79. “Homological characterization of patterns in phase separation.” Workshop on Computational Homology and Materials Science, Atlanta, Georgia (February 4, 2006).

80. “Computational homology tutorial: Accuracy of homology computations.” Workshop on Computational Homology and Materials Science, Atlanta, Georgia (February 2, 2006).

81. “On the accuracy of homology computations for nodal domains.” Georgia Institute of Technology, Atlanta, Georgia (December 1, 2005).

82. “Computational approaches to phase separation dynamics.” Third Pacific Rim Conference on Mathematics, Fudan University, Shanghai, China (August 18, 2005).

83. “Evolution of complex transient patterns.” Mini-Symposium on Nonlinear Analysis and Applications, Augsburg, Germany (June 24, 2005).

84. “The effects of noise on transient pattern formation.” SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 26, 2005).

85. “Residual stress networks in polycrystalline materials: Their origin and character.” SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 23, 2005).

86. “Long-term dynamics of the Cahn-Hilliard equation.” University of Maryland, Baltimore County, Maryland (May 2, 2005).

87. “Algebraic topology and the evolution of complex patterns.” University of Maryland, Baltimore County, Maryland (April 15, 2005).

88. Lecture series at the summer school on “Conley-Index and Computational Homology.” Pappenheim, Germany (September 19–24, 2004).

89. “Stochastic Cahn-Hilliard dynamics.” Fifth International Conference on Dynamical Systems and Differential Equations, Pomona, California (June 16, 2004).

90. “A probabilistic approach to transient pattern formation.” SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, California (May 26, 2004).

91. “Evolution of pattern complexity in Cahn-Hilliard models.” SIAM Conference on Mathematical Aspects of Materials Science, Los Angeles, California (May 25, 2004).

92. “Higher-dimensional Cahn-Hilliard-Cook dynamics.” Georgia Institute of Technology, Atlanta, Georgia (April 19, 2004).

93. “Cahn-Hilliard dynamics in higher dimensions.” Hokkaido University, Sapporo, Japan (March 18, 2004).

94. “Stochastic Cahn-Hilliard dynamics.” US-Japan Workshop on Dynamics and Computation, Shonan, Japan (March 9, 2004).

95. “Stochastic Cahn-Hilliard dynamics.” University of Maryland, College Park, Maryland (February 26, 2004).

96. “Pattern formation in Cahn-Hilliard-type models.” NIST, Gaithersburg, Maryland (February 17, 2004).

97. “Random sums and transient pattern formation.” Michigan State University, East Lansing, Michigan (January 13, 2004).

98. “Pattern formation in Cahn-Hilliard-type models.” Laboratory for Computer Design of Materials, George Mason University, Fairfax, Virginia (October 6, 2003).

99. “Transient pattern formation in the Cahn-Hilliard-Cook model.” NSF-CBMS Conference on Stochastic Partial Differential Equations and their Applications, Chicago, Illinois (May 22, 2003).

100. “Random sums and transient pattern formation.” Georgia Institute of Technology, Atlanta, Georgia (March 27, 2003).

101. “Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying elliptical birefringence.” Optical Fiber Communication Conference 2003, Atlanta, Georgia (March 26, 2003).

102. “Random sums and transient pattern formation.” Universität Augsburg, Germany (June 25, 2002).

103. “Random sums and transient pattern formation.” RWTH Aachen, Germany (June 18, 2002).

104. “Stochastic phenomena in pattern formation mechanisms.” George Mason University, Fairfax, Virginia (March 19, 2002).

105. “Transient pattern formation in parabolic problems.” Georgetown University, Washington, DC (October 12, 2001).

106. “Pattern formation in metal alloys.” Physics Department, University of Maryland, Baltimore County, Baltimore, Maryland (April 4, 2001).

107. “Transient pattern formation in metal alloys.” Ohio State University, Columbus, Ohio (November 30, 2000).

108. “Transient pattern formation in the Cahn-Hilliard model.” University of Maryland, College Park, Maryland (May 15, 2000).

109. “Spinodal decomposition for the Cahn-Hilliard model.” EquaDiff 99, Berlin, Germany (August 2, 1999).

110. “Introduction to random dynamical systems.” George Mason University, Fairfax, Virginia (November 20, 1998).

111. “Pattern formation in metal alloys.” SUNY at Buffalo, Buffalo, New York (November 12, 1998).

112. “Spinodal decomposition for multi-component Cahn-Hilliard systems.” Third Americas Conference on Differential Equations and Nonlinear Analysis, Atlanta, Georgia (September 12, 1998).

113. “Pattern formation in higher-order parabolic differential equations.” UMBC, Baltimore, Maryland (March 6, 1998).

114. “Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions.” Workshop on interfaces and parabolic regularisation, Leiden University, Netherlands, (November 6, 1997).

115. “Spinodal decomposition for the Cahn-Hilliard equation in higher dimensions.” AMS 1997 Fall Central Sectional Meeting, Milwaukee, Wisconsin (October 25, 1997).

116. “Slow motion in higher-order systems and Γ-convergence in one space dimension.” AMS 1997 Fall Southeastern Sectional Meeting, Atlanta, Georgia (October 18, 1997).

117. “Spinodal decomposition for the Cahn-Hilliard equation.” Georgia Institute of Technology, Atlanta, Georgia (October 9, 1997).

118. “Slow motion in higher-order systems and Γ-convergence in one space dimension.” Large time behavior in dynamical systems: Analysis and numerics, Oberwolfach, Germany (August 1, 1997).

119. “Slow motion in higher-order parabolic equations.” Third European conference on elliptic and parabolic problems, Pont-a-Mousson, France (June 16, 1997).

120. “Slow motion and pattern formation in higher-order parabolic equations.” University of Utah, Salt Lake City, Utah (February 7, 1997).

121. “Slow motion and pattern formation in higher-order parabolic equations.” Brigham Young University, Provo, Utah (February 6, 1997).

122. “Pattern formation in the Cahn-Hilliard equation.” Clemson University, Clemson, South Carolina (May 30, 1996).

123. “Slow motion in higher-order singularly perturbed equations.” Center for Applied Mathematics, Cornell University, Ithaca, New York (May 17, 1996).

124. “Construction of doubly periodic solutions of nonlinear planar elliptic equations with certain nodal domains” (poster session). Callaway Gardens, Pine Mountain, Georgia (March 10, 1996).

125. “Introduction to random dynamical systems.” Georgia Institute of Technology, Atlanta, Georgia (lecture series, November 14, 21, and 28, 1995, January 23 and 30, 1996).

126. “Linearization of random dynamical systems.” Georgia Institute of Technology, Atlanta, Georgia (November 16, 1995).

127. “Stationary solutions of the Cahn-Hilliard equation in two dimensions.” Georgia Institute of Technology, Atlanta, Georgia (September 28, 1995).

128. “Qualitative behavior of random differential equations.” Fifth international colloquium on differential equations, University of Plovdiv, Bulgaria (August 20, 1994).

129. “Linearization of random dynamical systems.” Universität München, Germany (July 25, 1994).

130. “Linearization of random dynamical systems — an approach via nonautonomous random difference equations.” First international conference on difference equations, Trinity University – San Antonio, Texas (May 26, 1994).

131. “A generalized Hartman-Grobman theorem for random dynamical systems.” Workshop “A day full of randomness,” Universität Bremen, Germany (June 4, 1993).

132. “A Hartman-Grobman theorem for discrete random dynamical systems.” Universität Bremen, Germany (January 7, 1993).

133. “Matroid extensions.” Fourth international symposium on graph theory and combinatorics, CIRM – Marseille Luminy, France (July 12, 1990).

134. “Supersolvable matroid extensions.” RISC-workshop on combinatorics and computational algebraic geometry, RISC – Linz, Austria (May 25, 1989).

University and Community Service:

2018 | Ph.D. Candidacy Exam Committee (Ryan Vaughn) |

2017 | Ph.D. Thesis Defense Committee (Diego Torrejon) |

2017 | Ph.D. Candidacy Exam Committee (Ryan Vaughn) |

2017 | Ph.D. Thesis Defense Committee, Chair (Patrick O’Neil) |

2017 | M.S. Committee (Stephanie Mui) |

2017 | Peer Reviewer for Teaching (H. Antil, S. Lawton) |

2016 | Ph.D. Candidacy Exam Committee (Diego Torrejon) |

2016 | Ph.D. Thesis Defense Committee (Hasitha de Silva) |

2016 | Ph.D. Candidacy Exam Committee, Chair (Patrick O’Neil) |

2016 | Peer Reviewer for Teaching (G. Agnarsson, H. Lamba) |

2016 | Ph.D. Thesis Defense Committee, Chair (Thomas Stephens) |

2016 | M.S. Committee (Zach Pryor) |

2014-2016 | Departmental Policy & Hiring Committee |

2015 | Ph.D. Thesis Defense Committee (Jonathan Lisic) |

2015 | Peer Reviewer for Teaching (G. Agnarsson, H. Antil) |

2015 | Peer Reviewer for Teaching (S. Schluchter, G. De La Pena, |

H. Razafinjatovo, D. Eckley, M. Holzer) | |

2015 | Ph.D. Candidacy Exam Committee, Chair (Patrick O’Neil) |

2015 | Ph.D. Candidacy Exam Committee (Hasitha de Silva) |

2015 | Ph.D. Candidacy Exam Committee (Diego Torrejon) |

2015 | Ph.D. Candidacy Exam Committee, Chair (Thomas Stephens) |

2015 | Ph.D. Candidacy Exam Committee (Jonathan Lisic) |

2012-2014 | Departmental IT Manager |

2014 | Peer Reviewer for Teaching (J. Boyette, G. Bulancea) |

2014 | Ph.D. Candidacy Exam Committee (Alathea Jensen) |

2014 | Ph.D. Candidacy Exam Committee, Chair (Thomas Stephens) |

2014 | Ph.D. Thesis Defense Committee (Pin Ren) |

2014 | M.S. Committee (Ericson Davis) |

2013 | Undergraduate Honors Thesis Committee (Andy Zeng) |

2013 | Ph.D. Candidacy Exam Committee (Hasitha de Silva) |

2013 | Ph.D. Thesis Defense Committee (Maziar Raissi) |

2013 | Peer Reviewer for Teaching (E. Addo, A. Goetz, C. Sausville) |

2013 | Ph.D. Thesis Defense Committee (Tyrus Berry) |

2013 | Ph.D. Candidacy Exam Committee (Maziar Raissi) |

2013 | Ph.D. Candidacy Exam Committee (Pin Ren) |

2012 | Ph.D. Candidacy Exam Committee (Jonathan Lisic) |

2011 | Departmental Representative, COS Director of Technologies Hiring Committee |

2011 | Ph.D. Thesis Defense Committee, Chair (Scott Cochran) |

2011 | M.S. Committee, Chair (Mike Atkins) |

2011 | Ph.D. Candidacy Exam Committee (Tyrus Berry) |

2010-2011 | Director of the GMU Math URCM Program |

2008-2011 | Ph.D. Candidacy Exam Committee (Robert Reznik) |

2010 | Ph.D. Thesis Defense Committee (Richard Tatum) |

2010 | Ph.D. Candidacy Exam Committee, Chair (Scott Cochran) |

2008-2010 | Departmental Policy & Hiring Committee |

2007-2010 | College of Science Promotion and Tenure Committee |

2009 | Ph.D. Thesis Defense Committee (Javed Siddique) |

2009 | Ph.D. Thesis Defense Committee, Co-Chair (Andrew Corrigan) |

2009 | M.S. Committee (Terrance Flynn) |

2008 | Departmental Endowed Professor Hiring Committee, Chair |

2008 | M.S. Committee, Chair (Elan Rodan) |

2008 | Ph.D. Candidacy Exam Committee (Richard Tatum) |

2008 | Ph.D. Candidacy Exam Committee, Co-Chair (Andrew Corrigan) |

2008 | Ph.D. Thesis Defense Committee, Chair (Tina Hartley) |

2006-2008 | Departmental Graduate Committee |

2007 | M.S. Committee (Mary Ann Graham) |

2007 | Ph.D. Candidacy Exam Committee, Chair (Tina Hartley) |

2007 | Ph.D. Candidacy Exam Committee (Javed Siddique) |

2005-2007 | Departmental Colloquium Committee |

2006 | Ph.D. Thesis Defense Committee (Timothy Seaman) |

2006 | Preliminary Exam Committee (Linear Analysis, ODE) |

2006 | Honors Thesis Committee (Tyler White) |

2003-2006 | Departmental SCS Liaison |

2005 | Ph.D. Candidacy Exam Committee (Timothy Seaman) |

2005 | Departmental Postdoc Hiring Committee |

2005 | Departmental Hiring Committee |

2003 | M.S. Committee (Karen Crossin) |

2003 | Undergraduate Grade Appeal Committee |

University of Maryland, Baltimore County:

2005 | Ph.D. Thesis Defense Committee (Valeriy Korostyshevskiy) |

2004 | M.S. Thesis Defense Committee, Chair (Jonathan Desi) |

2003 | Ph.D. Qualifying Exam Committee (Valeriy Korostyshevskiy) |

2002 | Ph.D. Thesis Defense Committee (Devasis Bassu) |

2002 | M.S. Thesis Defense Committee, Chair (Jennifer Deering) |

2001-2002 | Applied Mathematics Colloquium Organizer |

2001-2002 | Departmental Hiring Committee (Applied Mathematics) |

2001 | Ph.D. Qualifying Exam Committee (Justin Nave) |

1998-2001 | Departmental Graduate Program Committee |

2001 | Ph.D. Thesis Defense Committee (Igor Shimansky) |

2001 | Differential Equations Seminar Organizer |

2000-2001 | Departmental Library Liaison |

1999-2000 | Hiring Committee (Department Chair) |

1999-2000 | Departmental Hiring Committee (Scientific Computing) |

1999 | Ph.D. Qualifying Exam Committee (Devasis Bassu) |

1999 | M.S. Thesis Defense Committee (Yoon Song) |

1998-1999 | Classroom Instructional Technology Committee |