Here is a list of my Ph.D. students, 13 in all.
- John Steel, Determinateness and Subsystems of Analysis, Berkeley,
1977.
(Steel is a tenured full professor at UCLA.)
[ Although Steel's official thesis adviser was Professor John Addison
of Berkeley, the following is a quotation from the acknowledgements
page of Steel's thesis. ``I owe a great debt to Stephen Simpson, who
guided me expertly in the perilous transition from study to
research. The results of Chapters 1 and 2, together with less tangible
aspects of my research, are a product of Simpson's influence.'' The
thesis consists of three chapters. ]
- Rick L Smith, Theory of Profinite Groups with Effective
Presentations, Pennsylvania State University, 1979.
(Smith is a tenured associate professor at the University of
Florida.)
- Galen Weitkamp, Kleene Recursion over the Continuum,
Pennsylvania State University, 1980.
(Weitkamp is a tenured professor at the Western Illinois
University.)
- Peter Pappas, The Model Theoretic Structure of Group
Rings, Pennsylvania State University, 1982.
(Pappas is a professor at Vassar College.)
- Stephen H Brackin, On Ramsey-type Theorems and their
Provability in Weak Formal Systems, Pennsylvania State
University, 1984.
(Brackin is a mathematician at Odyssey Research Associates.)
- Mark Stephen Legrand, Coanalytic Sets in the Absence of
Analytic Determinacy, Pennsylvania State University, 1985.
(Legrand is an assistant professor at Auburn University.)
- Douglas K Brown, Functional Analysis in Weak Subsystems of
Second Order Arithmetic, Pennsylvania State University, 1987.
(Brown is an associate professor at the Altoona Campus of Penn
State.)
- Jeffry L Hirst, Combinatorics in Subsystems of Second
Order Arithmetic, Pennsylvania State University, 1987.
(Hirst is an associate professor at Appalachian State University in
North Carolina.)
- Xiaokang Yu, Measure Theory in Weak Subsystems of Second
Order Arithmetic, Pennsylvania State University, 1987.
(Miss Yu is an associate professor at the Altoona Campus of Penn
State.)
- Fernando Ferreira, Polynomial Time Computable Arithmetic
and Conservative Extensions, Pennsylvania State University, l988.
(Ferreira is a professor at the University of Lisbon.)
- Kostas Hatzikiriakou, Commutative Algebra in Subsystems of
Second Order Arithmetic, Pennsylvania State University, l989.
(Hatzikiriakou is a professor at the University of Crete.)
- Alberto Marcone, Foundations of BQO Theory and Subsystems
of Second Order Arithmetic, Pennsylvania State University, 1992.
(Marcone is a professor at the University of Torino.)
- A James Humphreys, On the Necessary Use of Strong Set
Existence Axioms in Analysis and Functional Analysis,
Pennsylvania State University, 1996.
(Humphreys is an instructor at Penn State.)