Stephen V. Ullom

Professor, Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, Illinois 61801-2975

Office: 337 Illini Hall; (217) 333-6207; FAX: (217) 333-9576

General Information

Ph.D. Univ. of Maryland, 1968.

Areas of Specialization and Research Interests

Algebraic Number Theory, Galois Module Structure of Algebraic Integers and Unit Groups, Galois Groups of Maximal Class Two Extensions with Restricted Ramification, Projective Class Groups of Integral Group Ring of a Finite Group.

Selected Publications

  • Minimal Ramification in Nilpotent Extensions, to appear in Pacific Journal of Mathematics. (with Nadya Markin)
  • Unit indices and cohomology for biquadratic extensions of imaginary quadratic fields, Journal de Theorie des Nombres de Bordeaux 20 (2008), 181-202. (with Marcin Mazur)
  • Representations related to CM elliptic curves. Math. Proc. Cambridge Philos. Soc. 113 (1993), no. 1, 71--85. (with Nigel Boston)
  • Generators and relations for certain class two Galois groups. J. London Math. Soc. (2) 34 (1986), no. 2, 235--244. (with Stephen B. Watt)
  • Class groups of cyclotomic fields and group rings. J. London Math. Soc. (2) 17 (1978), no. 2, 231--239.
  • Nontrivial lower bounds for class groups of integral group rings. Illinois J. Math. 20 (1976), no. 2, 361--371.
  • A Mayer-Vietoris sequence for class groups. J. Algebra 31 (1974), 305--342. (with Irving Reiner)
  • PhD Students

  • Andrew Matchett
  • Stephen B. Watt
  • Anupam Srivastav
  • John Jossey
  • Nadya Markin