PhD Students

• Paul Knowles (1986; NCSU)
  Symbolic Integration in Terms of Error-Functions and Logarithmic Integrals;
  Published as:
  Integration of a Class of Transcendental Liouvillian Functions with Error-Functions, I, II
  Journal of Symbolic Computation, 13:5, 525-544,1992; 16:3, 227-242,1993.
  
  
• Felix Ulmer (co-advisor J. Calmet) (1991; University of Karlsruhe)
  Entwurf von Algorithmen zur Berechnung Liouvillescher Loesungen von linearen gewoehnlichen Differentialgleichungen
  Published as:
  On Liouvillian Solutions of Linear Differential Equations
  Appl. Alg. in Eng., Comm., and Comp.,2, 171-193, 1992.
  
  
• Sabrina Hessinger (1997; NCSU)
  Computing Galois Groups of Linear Differential Equations of Order Four
  Published as:
  Computing the Galois Group of a Linear Differential Equation of Order Four
  Appl. Alg. in Eng., Comm., and Comp.,11:6, 489-536, 2001.
  
  
• Peter Berman (2001; NCSU)
  Computing Galois Groups for Certain Classes of Ordinary Differential Equations
  Some of these results have appeared in:
  Calculating the Galois group of L_1(L_2(y))=0, L_1, L_2 Completely Reducible Operators (with P. Berman) (.ps file) and Abstract. Journal of Pure and Applied Algebra, 139/1-3, 1999, 3-24. Also available as a .dvi file
  
  
• Axelle Person (co-advisor F. Ulmer) (2002; NCSU)
  Solving Homogeneous Linear Differential Equations of Order 4 in Terms of Equations of Smaller Order.
  
  
• Philippe Gaillard (co-advisor F. Ulmer) (2004; Univ. Rennes)
  Applications de la théorie de Galois différentielle aux équations différentielles linéaires d'ordre 


• Alexei Ovchinnikov (2007; NCSU)
  Tannakian Categories and Linear Differential Algebraic Groups
These results have appeared in:
Tannakian Approach to Linear Differential Algebraic Groups Transformation Groups 13(2), 2008, 413-446 and
Tannakian Categories, Linear Differential Algebraic Groups, and Parametrized Linear Differential Equations. Transformation Groups 14 (1), 2009, 195--223

MS Students

• David Chinkes (1990)
  Analysis and Implementation of an Algorithm to Solve Certain Expontial Integrals
  
  
• Fred Woodward (1993)
  Generating the Ring of Invariants of a Finite Matrix Group
  
  
• Christina Hewitt (2009)
  Real Roots of Polynomials with Real Coefficients
  
  

Postdocs sponsored

• Felix Ulmer (1991--93)


• Evelyne Hubert (1998--1999)


• Lourdes Juan (2000--2001)


• Ruyong Feng (2007--2008)