VITA. Mark E. Fels. I. Personal Information, Employment History, and Awards. 1. II. Publications III. Research Grants... 4

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1 VITA Mark E. Fels I. Personal Information, Employment History, and Awards. 1 II. Publications III. Research Grants IV. Conference Lectures V. Graduate Students VI. Professional Activities VII. University Activities I. Personal Information, Employment History, and Awards Personal Information Birthdate June 3, 1964 Birthplace Montreal, Canada Marital Status Married Children One Citizenship Education Canadian, American institution dates attended degree date degree awarded major McGill University PhD Math. Univ. of Waterloo M. Math. Math. Univ. of Waterloo B. Math. CS/Math. Student Awards - National Research Council of Canada Scholarship (Post-Doctorate), ISM Montreal Scholarship, National Research Council of Canada Scholarship (Doctorate), National Research Council of Canada Scholarship (Master s), Research Scholarship from the Tomalla Institute Zurich, National Research Council of Canada Scholarship (summer scholarship),

2 Academic Experience - Full Professor Utah State Univ current - Associate Professor Utah State Univ Assistant Professor Utah State Univ Visiting Asst. Prof. Univȯf Minnesota Visiting Asst. Prof. Utah State Univ Teaching Assistant McGill University Teaching Assistant Univ. of Waterloo Research Assistant Univ. of Bern Research Assistant Lakehead Univ (Summer) Long term visits - McGill University, 01/11/ /12/ Dalhousie University, 01/10/ /11/ University of British Colombia, 01/01/ /05/ IAS, Princeton, 01/10/ /11/ Duke University, 01/02/ /03/ Dept. of Physics, University of Bern, Switzerland, 01/10/ /01/ CRM, University of Montreal, 01/09/ /10/1994 Nonacademic Experience - Bio-mechanical Engineer, Mueller Institute Bern Switzerland II. Publications Research Papers 1. Superposition Formulas for Exterior Differential Systems I.M. Anderson, M.E. Fels, P.J. Vassiliou, Advances in Mathematics 221, 2009, Integrating ordinary differential equations with symmetry revisited, M.E. Fels, Foundations of Computational Math, 7(4), 2007, Non-reductive four dimensional homogeneous pseudo-riemannian Manifolds, M.E. Fels, A.G. Renner, Canadian Journal of Math., 58(2), 2006, Exterior Differential Systems with Symmetry, I.M. Anderson, M.E. Fels, Acta. Appl. Math.,87, 2005, Transverse group action on bundles, I.M. Anderson, M.E. Fels, Topology and its Applications, 123(3), 2002, The principle of symmetric criticality in general relativity, M.E. Fels, C.G. Torre, Class. Quantum Grav.,19(4), 2002, Group invariant solutions without transversality, I.M. Anderson, M.E. Fels, C.G. Torre, Comm. Math. Phys., 212(3), 2000,

3 8. Moving coframes II. Regularization and theoretical foundations, M.E. Fels, P.J. Olver, Acta. Appl. Math., 55, 1999, Moving coframes I. A practical algorithm, M.E. Fels, P.J. Olver, Acta. Appl. Math., 51,1998, Symmetry reduction of variational bicomplexes and the principle of symmetric criticality, I.M. Anderson, M.E. Fels, Amer. Jour. Math., 119(3), 1997, On relative invariants, M.E. Fels, P.J. Olver, Mathematische Annalen, 308(4), 1997, The Inverse Problem of the Calculus of Variations for Scalar Fourth Order Ordinary Differential Equations, M.E. Fels, Trans. Amer. Math Soc., 348(12), 1996, The equivalence problem for systems of second order ordinary differential equations, Proc. London Math. Soc., M.E. Fels, 71(3), 1995, Systèmes séparables non-factorisables et symétries de dieuxième ordre de l opérateur de Dirac, M.E. Fels, N. Kamran, C. R. Acad. Sci. Paris, t.311, Serie , Non-factorizable separable systems and higher-order symmetries of the Dirac operator, M.E. Fels, N. Kamran, Proc. R. Soc. Lond. A, 1990, 428, Kerr-Schild rides again, M.E.Fels, A. Held, General Relativity and Gravitation, 21(1), 1989, Conference Proceedings and Short Communications 1. Transformations of Darboux Integrable Systems, I.M. Anderson, M.E. Fels, Proceedings of the Fifth Abel Symposium on Differential Equations: Geometry, Symmetries and Integrability, June, 2008, Tromso, Norway, ISBN On Darboux Integrability, I.M. Anderson, M.E. Fels, P.J. Vassiliou, Symmetry and Perturbation Theory 2007, Otranto Italy, World Scientific, ISBN Exterior Differential Systems with Symmetry, M.E. Fels, IMA volume 144, Symmetries of Overdetermined Systems of Partial Differential Equations. ISBN A co-chain map on the G invariant de Rham complex, I.M. Anderson, M.E.Fels, Symmetry and Perturbation Theory 2004, 1-12, Sardinia Italy, World Scientific, ISBN Group invariant solutions in mathematical physics and differential geometry, I.M. Anderson, M.E. Fels, C.G. Torre, CBMS-NSF Workshop on Geometric methods in Differential Equations, Washington DC., Contemporary Mathematics 285, Encyclopedia of Mathematics, Differential Invariants, M.E. Fels,

4 7. Symmetry reduction without transversality and the principle of symmetric criticality, I.M. Anderson, M.E. Fels, C.G. Torre, AARMS-CRM Workshop on Backlund and Darboux Transformations, CRM Proceedings and Lecture Notes, 29, Moving frames and coframes, M.E.Fels, P.J. Olver, Algebraic methods in physics (Montreal, QC, 1997), 47 64, CRM Ser. Math. Phys., Springer, New York, Non-factorizable separable systems and second-order symmetries of the Dirac operator on a four dimensional Lorentzian spin manifold, M.E.Fels, N. Kamran, Proceedings of the annual seminar of the Canadian Mathematical Society on Lie Theory, Differential Equations and Representation Theory, Ed. V. Hussin, 1990, III. Research Grants 1. NSF Grant DMS , Geometric Methods for the Symbolic Integration of Differential Equations Co-PI, with I. Anderson (PI), 09/ /2011, $185,000. (Continuation granted - 08/2011) 2. NSF Grant DMS , Formal Geometry Co-PI, with I. Anderson (PI),07/98-05/2001, $123, USU Grant - Symmetry aspects of differential equations, PI 06/99-05/00, $12,000. IV. Conference Lectures Plenary 1. Symmetry reduction of Exterior Differential Systems, 21st International workshop on differential geometric methods in theoretical mechanics. ICM Satellite conference, Aug. 31, Sept. 7, Madrid Spain Other Invited Conference Lectures 1. Superposition Formulas For Exterior Differential Systems, 25 th Nordic and 1 st British-Nordic conference of mathematicians, June 8-11, On Darboux Integrability, Symmetry and Perturbation Theory, June 2-9, 2007, Otranto Italy. 3. Symmetry reduction of Exterior Differential Systems, 21st International workshop on differential geometric methods in theoretical mechanics. ICM Satellite conference, Aug. 31, Sept. 7, Madrid Spain 4

5 4. Differential Geometry with Maple, 21st International workshop on differential geometric methods in theoretical mechanics. ICM Satellite conference, Aug. 31, Sept. 7, 2006, Madrid Spain 5. Darboux Integrability, Advances in PDE Geometry, ICM Satellite conference, August 31, September 2, 2006, Madrid Spain. 6. Exterior Differential Systems with Symmetry, IMA - Symmetries and Overdetermined systems of partial differential equations. July 17,2006-Aug. 4,2006, Minneapolis, USA. 7. Exterior Differential Systems with Symmetry I and II, Geometry and Symmetry of Differential Equations, July 4-11,2006, Santa Marinella, Italy. 8. Differential Geometry with Maple, Geometry and Symmetry of Differential Equations July 4-11,2006, Santa Marinella, Italy. 9. A cochain map on the G invariant de Rham complex, SPT 2004, May 30,2004-June 6,2004, Cala Ganone, Italy. 10. Exterior Differential Systems with Symmetry, SPT 2004, May 30,2004- June 6,2004, Cala Ganone, Italy. 11. Non-reductive homogeneous Pseudo-Riemannian manifolds of dimension 4, CMS summer meeting, June 13-15, 2004, Halifax, Canada. 12. The principle of symmetric criticality in general relativity, Lehigh University Geometry and Topology Conference, June 14-16, 2001, Bethlehem PA. 13. Group invariant solutions in mathematical physics and differential geometry, The Third World Congress of Nonlinear Analysts (WCNA-2000), July 19-26, 2000, Catania, Italy. 14. Group invariant solutions without transversality, NSF-CBMS Conference: The Geometrical Study of Differential Equations, June 20-25, 2000, Howard University, Washington DC. 15. Applications of gauge transformations to invariant variational problems, 11th South East Geometry Conference, Charleston SC. March 25-26, The principle of symmetric criticality without transversality, AARMS- CRM workshop on Backlund and Darboux Transformations, Halifax NS, June 2-7, The inverse problem in the calculus of variations, Corvalis OR, April 19-20, Symmetry reduction of conservation laws and variational principles, Fifth European School of Group Theory, Valladoloid, Spain, July 17-29, The generalized inverse problem in the calculus of variations, Workshop in Exterior differential System, Oct , 1994, University of Montreal, Montreal, Canada. 5

6 20. The equivalence problem for systems of second order ordinary differential equations, Conference on non-linear analysis, Nov. 16, 1993, Brigham Young University, Provo, Utah, USA. Lecture Series 1. Exterior differential systems with symmetry, and the principle of symmetric criticality. McGill University, November 2003 (8 Lectures). V. Graduate Students 1. Russel Saddler, Classifying Simple Lie Algebras with Maple, (MS), Robert Reem, Darboux Integrability of wave maps into 2D Riemannian manifolds, (MS), Brian Gleason, Decomposing vector space representations of the Lie algebra sl(2), (MSc Report), Andrew Renner, Non-reductive homogeneous pseudo-riemannian manifolds of dimension four, (MS), Kimberli Cole-Tripp, On the Classification of Nilpotent Lie Algebras, (MSc Report), VI. Professional Activities Reviewer/Referee - Mathematical Reviews. - National Science Foundation (USA), National Security Agency (USA), Engineering and Physical Sciences Research Council (UK). - Acta Applicandae Mathematicae, Transactions of the American Mathematical Society, Foundations of Computational Mathematics, Journal of Mathematical Physics, Proceedings of the American Math Society, Journal of Mathematical Analysis and its Applications,The Canadian Journal of Mathematics, The Bulletin of the Iranian Mathematics Society, The Proceedings of the Royal Society of London, SIAM Journal of Applied Mathematics, SIAM Reviews,Journal of Geometry and Physics, Journal of Physics A:Mathematical and General, Classical and Quantum Gravity, Journal of Zhejiang University Science, Nonlinear Analysis: Theory, Methods and Applications, The Royal Society of Edinburgh Proceedings A., Journal of Symbolic Computation Other Professional Activities 6

7 - Co-organizer, Geometry and Symmetry of Differential Equations, SPT07, June 2-9,2007, Otranto Italy. - Co-organizer with R. Milson, Canadian Mathematics Society special session on Differential Geometry and Differential Invariants. June 13-15, 2004 Halifax Nova Scotia. - Organized 3 workshops in Formal Geometry and Mathematical physics at USU. (with I. Anderson and C. Torre.) VII. University Activities - Search Committee, Chair, Masters Degree Qualifying Exam, 01/ / Chair, Visitor Search Committee, Tenure Committees - Chair, Search Committee, Visitor Search Committee, Calculus Text Committee, 1999, Computer Committee, 09/ / Chair, Masters Degree Qualifying Exam, 09/ / Putnam Exam, 09/ / / /2002 (Team placing 29/460) 7

HONGJIE DONG. Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University

HONGJIE DONG. Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University HONGJIE DONG Assistant Professor of Applied Mathematics Division of Applied Mathematics Brown University Address Division of Applied Mathematics 182 George Street Providence, RI 02912 Phone: (401) 863-7297