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Curriculum Vita:  Malcolm R. Adams


Education:
        
B.A.   University of Oregon, June 1978                      

Ph.D.  Massachusetts Institute of Technology, June 1982
           
Positions:
         
1982-1984 Half-time NSF Postdoctoral Fellow and half-time Lecturer at the
University of California at Berkeley


1984-1985 Member, Institute for Advanced Studies, Princeton

1984-1990 Assistant Professor, University of Georgia, Athens

1990-1995 Associate Professor, University of Georgia, Athens

1995-
Professor, University of Georgia, Athens
           
Awards:
       
1978-1981
National Science Foundation Graduate Fellowship

1982-1984
National Science Foundation Postdoctoral Fellowship

1992
Michael Award (UGA)

2001
Sandy Beaver Teaching Award (UGA)

2001
McCay Award (UGA)

2005-2008
General Sandy Beaver Teaching Professorship

Graduate Students:
    
Clay Mason
MA             
1992
            

Alok Dhital
MA
1992

 
Sasa Kresic-Juric
Ph.D.
1995


Piotr Hebda
MA
2001


Mark Hanna
MA
2002


Hye-Won Lee
MAMS
2002


Billy Jackson
MA
2004


Tremaine Skeen
MA
2004


Samuel Obara
MA
2005


Ryan Byrd
MA
2007


Sheree Sharpe
MA
2007



Books:
  1. Measure Theory and Probability (with V. Guillemin), Wadsworth, Monterey, CA, 1986 (reprinted with corrections by Birkhauser,  1996).
  2. Linear Algebra: a geometric approach (with T. Shifrin), Freeman, New York, 2001.

Selected Research Articles:
  1. A Lie group structure for pseudodifferential operators, (with T. Ratiu and R. Schmid), Math. Ann. 273 (1986), 529-551.
  2. A Lie group structure for Fourier integral operators, ( with T. Ratiu and R. Schmid), Math. Ann. 276 (1986), 19-41.
  3. The three point vortex problem:  Commutative and non-commutitive integrability, (with T. Ratiu), Contemporary Mathematics, vol. 81, ed. Kenneth R. Meyer and Donald G. Saari, AMS, Providence, 1988, 245-257.
  4. Isospectral Hamiltonian flows in finite and infinite dimensions, I. Generalized Moser systems and moment maps into loop algebras, (with J. Harnad and E. Previato),  Comm. Math. Phys. 117 (1988), 451-500.
  5. Isospectral Hamilitonian flows in finite and infinite dimensions, II. Integration of flows, (with J. Harnad and J. Hurtubise), Comm. Math. Phys. 134 (1990), 555-585
  6. Dual Moment Maps into Loop Algebras, (with J. Harnad and J. Hurtubise),  Lett. Math. Phys. 20 (1990), 299-308.
  7. Heisenberg Algebras, Grassmannians, and Isospectral Curves, (with M. Bergvelt),  The Geometry of Hamiltonian Systems,  MSRI Publication 22, ed. T. Ratiu, Springer, New York, 1991, 1-8.
  8. Invariants of Gauss Maps of theta divisors, (with C. McCrory, T. Shifrin, and R. Varley), AMS Proc. Symp. Pure Math.  54, part 2  (1993), 1-8.
  9. Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras, (with J. Harnad and J. Hurtubise), Comm. Math. Phys. 155 (1993), 385-415.
  10. The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras, (with M. Bergvelt),  Comm. Math. Phys.  154  (1993), 265-305.
  11. Conic Lagrangian Singularities (with C. McCrory, R. Varley, and T. Shifrin),  Topology and its Application 88  (1998), 155-178.
  12. Hamiltonians and zero-curvature equations for integrable partial differential equations (with S. Kresic-Juric),  J. Math. Phys. 42  (2001), 213-224.
  13. Analysis of a Certain Class of Replicator Equations (with A. Sornborger),  J. Math. Biol. 54  (2007), 357-384
  14. The Evolution of Fidelity in Sensory systems (with A. Sornborger),  J. Theor. Biol. 253 (2008), 142-150.

Other Activities:
  • Putnam Exam Coach and Proctor at UGA since about 1990, created a 1 hour course on "Advanced Problem Solving" based on this.
  • Member of PRISM Mathematics Curriculum Team 2006-2008,  Math Curriculum Team Learning Community 2008-2009
  • Class notes on "Sequences and Series" used extensively for Math 3100 at UGA
  • VIGRE activities:  REU summer 2001, VIGRE Seminar 2006-2007, Complex Analysis  Qualifying Exam preparation sessions summer 2006, 2007, 2008, Graduate Student Teaching Seminar summer 2008
  • Active in Faculty Governance at UGA