Curriculum Vitae

Lennard Bakker, Assistant Professor (since September 2002)

Areas of Research: Dynamical Systems, Celestial Mechanics.

Description of Research:

• Groups of nontrival generalized symmetries and their application in algebraic dynamics and rigidity theory.
• Existence of periodic orbits and their linear stability in the N-body problem.

Employment History:

• Visiting Assistant Professor, Franklin and Marshall College, July 2001-June 2002.
• Visiting Assistant Professor, Brigham Young University, August 1999-August 2001.
• Visiting Lecturer, University of Nevada, Reno, August 1998-June 1999.
• Sessional Instructor, Simon Fraser University, January-April 1998.
• Research Associate, Queen's University, May-October 1997.

Education:

• Ph.D. (Mathematics) Queen's University, May 1997. Thesis Title: Brake Orbits and Magnetic Twistings in Two Degrees of Freedom Hamiltonian Dynamical Systems. Thesis Supervisor: Daniel C. Offin.
• M.Sc. (Mathematics) University of Victoria, November 1993. Thesis Title: Arnold Diffusion in the Elliptic Restricted Three-Body Problem. Thesis Supervisor: Florin N. Diacu.
• B.Sc.(Hons) (Mathematics) University of Victoria, May 1991. Graduated with First Class Standing.

Funding, Scholarships, and Fellowships Received:

• Co-PI for NSF Conference Grant 0800840 (along with PI Todd Fisher, Co-PI Kening Lu, and Co-Pi Dan Rudolph), 2008-2009.
• Queen's Graduate Fellowship, Queen's University, 1996-1997.
• R.S. McLaughlin Fellowship, Queen's University, 1995-1996.
• NSERC PGS-B, Queen's University, 1993-1995.
• NSERC PGS-A, University of Victoria, 1991-1993.

Current and Future Teaching Assignments:

• Mathematics for Engineering II, Brigham Young University, Fall 2009.
• Linear Algebra with Applications, Brigham Young University, Fall 2009.

Teaching Experience:

• Functions of Real and Complex Variables Part II (Gradudate Course), Brigham Young University, Winter 2009.
• Linear Algebra with Applications, Brigham Young University, Winter 2009.
• Mathematics for Engineering II, Brigham Young University, Fall 2008.
• Calculus II (Large Section), Brigham Young University, Fall 2008.
• Mathematics for Engineering II, Brigham Young University, Winter 2008.
• Linear Algebra with Applications, Brigham Young University, Winter 2008.
• Mathematics for Engineering II, Brigham Young University, Fall 2007.
• Calculus II (Honors Section), Brigham Young University, Fall 2007.
• Mathematics for Engineering II (two sections), Brigham Young University, Winter 2007.
• Mathematics for Engineering II, Brigham Young University, Fall 2006.
• Linear Algebra with Applications, Brigham Young University, Fall 2006.
• Mathematics for Engineering II, Brigham Young University, Winter 2006.
• Mathematics for Engineering I, Brigham Young University, Winter 2006.
• Mathematics for Engineering II, Brigham Young University, Fall 2005.
• Ordinary Differential Equations, Brigham Young University, Spring 2005
• Mathematics for Engineering II, Brigham Young University, Winter 2005.
• Mathematics for Engineering I, Brigham Young University, Fall 2004.
• Mathematics for Engineering II, Brigham Young University, Fall 2004.
• Special Topics in Analysis (Graduate Course), Summer 2004.
• Functions of Real and Complex Variables, Part II (Graduate Course), Brigham Young University, Winter 2004.
• Mathematics for Engineering II, Brigham Young University, Winter 2004.
• Functions of Real and Complex Variables, Part I (Graduate Course), Brigham Young University, Fall 2003.
• Mathematics for Engineering II, Brigham Young University, Fall 2003.
• Calculus of Several Variables, Brigham Young University, Winter 2003
• Mathematics for Engineering II, Brigham Young University, Winter 2003.
• Partial Differential Equations (Graduate Course/Advanced Undergraduate Course), Brigham Young University, Fall 2002.
• Mathematics for Engineering I, Brigham Young University, Fall 2002.
• Calculus I (Two Sections), Franklin and Marshall College, Winter 2002.
• Calculus I (Two Sections), Franklin and Marshall College, Fall 2001.
• Preparation for College Mathematics, Franklin and Marshall College, Fall 2001.
• Discrete Dynamical Systems (Graduate Course), Brigham Young University, Winter 2001.
• Calculus II, Brigham Young University, Winter 2001.
• Smooth Dynamical Systems (Graduate Course), Brigham Young University, Fall 2000.
• Calculus II (Large Section), Brigham Young University, Fall 2000.
• Advanced Engineering Mathematics II, Brigham Young University, Winter 2000.
• Linear Algebra, Brigham Young University, Winter 2000.
• Differential Equations, Brigham Young University, Fall 1999.
• Linear Algebra, Brigham Young University, Fall 1999.
• Differential Equations, University of Nevada, Reno, Winter 1999.
• Calculus III (Two Sections), University of Nevada, Reno, Winter 1999.
• Elements of Calculus I (Two Sections), University of Nevada, Reno, Fall 1998.
• Fundamentals of Mathematics (Two Sections), University of Nevada, Reno, Fall 1998.
• Calculus II (Large Section), Simon Fraser University, Winter 1998.
• Calculus I, Queen's University, Fall 1996.
• Calculus I, Queen's University, Fall 1995.

University Service and Citizenship:

• Reviewer for Mathematical Reviews. (Accepted invitation to be a reviewer in August 2008.)
• Co-organizer (along with Todd Fisher, Kening Lu, and Dan Rudolph) of Rocky Mountain Dynamical Systems Conference, Park City, UT, May 2008. (Funded by NSF grant 0800840)
• Co-organizer (along with Diana Thomas and Donald Mills) for the special session "Algebraic Dynamics" at the National Meeting of the American Mathematical Society, San Diego, Jan. 2008.
• Author and grader of Ph.D. Qualifier Exam in Analysis, Spring 2009, Fall 2006, Winter 2005, Fall 2004.
• Organizer of the special session "Applications of Algebraic Methods in Dynamical Systems," at the Fifth International Conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, CA, June 2004.
• Full Partipication in the Faculty Development Series, Faculty Center, Brigham Young University, September 2002-March 2004.
• Judge at the Central Utah Science and Engineering Fair, Brigham Young University, March 2009, March 2008, March 2007, March 2006, March 2005, March 2004, April 2003, March 2001, March 2000.
• Chair of the first day of presentations in the several-day session on Dynamical Systems and Applications at the Fourth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, May 2003.
• Judge in the mathematics category of the 2002-2003 Northeast Utah Region Sterling Scholar Competition.
• Member of the Utah State Math Contest committee, Brigham Young University, with responsibility for the preparation of the 2001 senior test.
• Academic Advisor for BYUSA Kicks Club, Brigham Young University, 2000-2001. The Kicks Club is devoted to the art of field goal kicking - personal best 45 yards.

Students Supervised:

• Steven Flygare, Winter 2009, working with Celestial Mechanics group on problems in the collinear three-body problem, will be a graduate student at the University of Utah starting Fall 2009.
• Jared Whitehead, Fall 2003-Winter 2006, undergraduate honor thesis, Topological Bifurcations of Julia Sets (March 2006), currently a Ph.D. student at the University of Michigan.

Professional Society Memberships:

• American Mathematical Society.
• Canadian Mathematical Society.
• SIAM, SIAG on Dynamical Systems.

Conferences Attended:

• SIAM Conference on Applications of Dynamical Systems, Snowbird Ski & Summer Resort, Snowbird, UT, May 2009.
• 8th Mississippi State - UAB Conference on Differential Equations and Computational Simulations, May 2009.
• Rocky Mountain Dynamical Systems Conference, Park City, UT, May 2008.
• AMS National Conference, San Diego, CA, Jan. 2008.
• The Fifth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, GA, May 2007.
• Midwest Dynamical Systems Seminar, IUPUI, Indianapolis, IN, Oct. 2006.
• Canadian Mathematical Society Winter Conference, Dec. 2005, Victoria, BC.
• SIAM Conference on Applications of Dynamical Systems, Snowbird Ski & Summer Resort, Snowbird, UT, May 2005.
• Fifth International Conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, CA, June 2004.
• SIAM Conference on Applications of Dynamical Systems, Snowbird Ski & Summer Resort, Snowbird, UT, May 2003.
• The Fourth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, GA, May 2003.
• Fourth International Conference on Dynamical Systems and Differential Equations, University of North Carolina, Wilmington, NC, May 2002.
• Midwest Dynamical Systems Seminar, Northwestern University, Evanston, IL, March 2001.
• Canadian Mathematical Society's Summer Meeting, McMaster University, Hamilton, Canada, June 2000.
• Conference in Honour of Vladimir Arnold, The Fields Institute, Toronto, Canada, June 1997.
• NATO Advanced Study Institute, University of Montreal, Montreal, Canada, July 1992.

Invited Presentations:

• Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem, in special session "Dynamical Systems" at the Second Joint CMS/SMM Meeting, Vancouver, B.C., Canada, August 2009. (Invited)
• Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem, Special Session on "Research in Applied Mathematics" at the MAA Sectional Meeting at Brigham Young University, March 2009. (Invited)
• Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem, Theoretical Physics Group at Brigham Young University, Feb. 2009. (Invited)
• The topological conjugacy problem for torus automorphisms, IST, Lisbon, Portugal, June 2008. (Fully funded, invited)
• The Katok-Spatzier Conjecture and Generalized Symmetries, in the session "Algebraic Dynamics," at the AMS National Conference, San Diego, Jan. 2008. (Self-invited)
• Measurably Nonconjugate Higher Rank Abelian NonCartan Actions, in the session "Dynamical Systems and Applications," at the Fifth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, GA, May 2007. (Self-invited)
• Semiconjugacy of Quasiperiodic Flows and Finite Index Subgroups of Multiplier Groups, in the special session "Application of Algebraic Methods in Dynamical Systems," at the Fifth International Conference on Dynamical Systems and Differential Equations, California State Polytechnic University, Pomona, CA, June 2004. (Self-invited)
• Quasiperiodic Flows and Algebraic Number Fields, in the session "Dynamical Systems and Applications," at the Fourth International Conference on Dynamic Systems and Applications, Morehouse College, Atlanta, GA, May 2003. (Self-invited)
• A Reducible Representation of the Generalized Symmetry Group of a Quasiperiodic Flow, in the special session "Symmetries and Differential Equations in Physics and Other Applications," at the Fourth International Conference on Dynamical Systems and Differential Equations, University of North Carolina, Wilmington, NC, May 2002. (Self-invited)
• Representations of Group Invariants of the Conjugacy Class of a Flow, Midwest Dynamical Systems Seminar, Northwestern University, Evanston, IL, March 2001. (Fully funded, self-invited)

Invited Proxy Presentations:

• Infinite Multiplicity of Positive Solutions for Singular Nonlinear Elliptic Equations with Convection Term and Related Supercritical Problems, presented in behalf and by request of Carlos Aranda (and Jesus Hernandez) at the 8th Mississippi State - UAB Conference on Differential Equations and Computational Simulations, May 2009.
• Second Order Dynamical Systems used for Generating "Practical" Test Functions for Filtering and Sampling Procedures, presented in behalf and by request of Christian Toma, Politehnica University, Bucharest, Romania, in the special session "Symmetries and Differential Equations in Physics and Other Applications," at the Fourth International Conference on Dynamical Systems and Differential Equations, University of North Carolina, Wilmington, NC, May 2002.

Contributed Presentations:

• Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem, at the 8th Mississippi State - UAB Conference on Differential Equations and Computational Simulations, May 2009.
• The Multiplier Group of a Quasiperiodic Flow, at the Canadian Mathematical Society Winter Conference, Dec. 2005, Victoria, BC.

Preprints:

• Bakker, L.F., Ouyang, T., Yan, D., Simmons, S., Periodic Simultaneous Binary Collision Orbits and their Stability in the Planar Pairwise Symmetric 4-Body Problem, in progress.
• Bakker, L.F., Ouyang, T., Yan, D., Simmons, S., Roberts, G., Linear Stability for Some Symmetric Periodic Simultaneous Binary Collision Orbits in the Four-Body Problem, submitted to Nonlinearity May 2009, posted on Arxiv. Click here for pdf copy of preprint.
• Bakker, L.F., and Whitehead, J., Asymptotic Values, Prepoles, and Periodic Points, July 2006. Click here for pdf copy of preprint. Submitted to the International Journal of Bifurcation and Chaos, May 2009.
• Bakker, L.F., The Katok-Spatzier Conjecture and Generalized Symmetries, submitted to Forum Mathematicum, Aug. 2008, posted on Arxiv.
• Bakker, L.F., The Multiplier Group of a Quasiperiodic Flow, posted on arxiv.
• Bakker, L.F. and Conner, G.R., Group Invariants of Flows, August 2000, unpublished manuscript.
• Bakker, L.F., An Existence Theorem for Periodic Brake Orbits and Heteroclinic Connections, Preprint Series #43, Department of Mathematics, University of Nevada, Reno, March 1999.

Peer-Reviewed Publications:

• Bakker, L.F., Measurably Nonconjugate Higher Rank Abelian NonCartan Actions, Proceedings of the Fifth International Conference of Dynamics Systems and Applications, Vol. 5 (2008), 51-59.
• Bakker, L.F., Rigidity of Projective Conjugacy for Quasiperiodic Flows of Koch Type, Colloquium Mathematicum, Vol. 112, No. 2 (2008), 291-312.
• Bakker, L.F, Semiconjugacy of Quasiperiodic Flows and Finite Index Subgroups of Multiplier Groups, in "Dynamical Systems and Differential Equations," (eds. S. Hu, X. Lu, and W. Xie), Discrete and Continous Dynamical Systems, Supplement (2005), 60-69.
• Bakker, L.F., Quasiperiodic Flows and Algebraic Number Fields, Proceedings of Dynamic Systems and Applications, Vol. 4 (eds. G.S. Ladde, N.G. Medhin, and M. Sambandham), Dynamic Publishers, Inc. (2004), 46-52.
• Bakker, L.F., Structure of Group Invariants of a Quasiperiodic Flow, Electronic Journal of Differential Equations, Vol. 2004 No. 39 (2004), 1-14.
• Bakker, L.F. and Conner, G.R., A Class of Generalized Symmetries of Smooth Flows, Communications on Pure and Applied Analysis, Vol. 3, No. 2 (2004) 183-195.
• Bakker, L.F. A Reducible Representation of the Generalized Symmetry Group of a Quasiperiodic Flow, in "Dynamical Systems and Differential Equation," (eds. W. Feng, S. Hu, and X. Lu), Discrete and Continuous Dynamical Systems, Supplement (2003), 68-77.
• Bakker, L.F., One-Parameter Families of Brake Orbits in Dynamical Systems, Colloquium Mathematicum, Vol. 82 No.2, (1999), 201-217.
• Bakker, L.F. and Diacu, F.N., On the Existence of Celestial Bodies with Unpredictable Motion in the Solar System and in the Kirkwood Gaps, Romanian Astronomical Journal, Vol. 3 No. 2, Editura Academiei Romane (1993), 139-155.