Stefan Catoiu earned his PhD in mathematics in 1997 from the University of Wisconsin-Madison, where he worked under the guidance of Professor Donald Passman. Catoiu then spent two years as a Visiting Assistant Professor at Temple University in Philadelphia, before joining the faculty at DePaul University in 1999.
Catoiu's research is in non-commutative algebra (representation theory, enveloping algebras, Hopf algebras, quantum groups, group algebras and PI-algebras), real analysis (generalized and quantum derivatives), number theory (zeta functions, Diophantine equations) and geometry (analytic, Euclidean, convex and quantum Euclidean geometries).
- Generalized vs. ordinary differentiation
Proc. Amer. Math. Soc. 145 (2017), no. 4, 1553-1565. (with J. Marshall Ash and Marianna Csörnyei)
- Nonuniqueness of sixpartite points
Amer. Math. Monthly 125 (2018), no. 7, 638--642. (with Allan Berele)
- Minimal J-trace identities for M(n,n) and queer trace identities for M_n(E)
J. Algebra 508 (2018), 461--474. (with Allan Berele)
- The classification of generalized Riemann derivatives
Proc. Amer. Math. Soc. 146 (2018), no. 9, 3847--3862. (with J. Marshall Ash and William Chin)