College of Science and Health > Faculty & Staff > Faculty A-Z > Stefan Catoiu

Stefan Catoiu

  • Associate Professor
  • ​PhD
  • Mathematical Sciences
  • ​Noncommutative Algebra, Real Analysis, Geome​try

  • (773) 325-4669
  • ​Schmitt Academic Center, Room 526       

Dr. 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.

Dr. 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).

Selected publications:

  • Ideals of the enveloping algebra U(sl2)
    J. Algebra 202 (1998), no. 1, 142-177.
  • On the nth quantum derivative
    J. Lond. Math. Soc. (2) 66 (2002), no. 1, 114-130. (with J. M. Ash and R. Rios-Collantes-De-Teran)
  • Telescoping, rational-valued series, and zeta functions
    Trans. Amer. Math. Soc. 357 (2005), no. 8, 3339-3358. (with J. M. Ash)
  • Generalized vs. ordinary differentiation
    Proc. Amer. Math. Soc. 145 (2017), no. 4, 1553-1565. (with J. M. Ash and M. Csörnyei)
  • The classification of generalized Riemann derivatives
    Proc. Amer. Math. Soc. 146 (2018), no. 9, 3847--3862. (with J. M. Ash and W. Chin)
  • Bisecting envelopes of convex polygons
    Adv. in Appl. Math. 137 (2022), Article 102342. (91pp.) (with A. Berele)
  • The pentagonal pizza conjecture
    Amer. Math. Monthly 129 (2022), no. 5, 445-453. (with A. Berele)
  • Characterizing Peano and symmetric derivatives and the GGR Conjecture's solution
    Int. Math. Res. Notices IMRN 2022, no. 10, 7893-7921. (with J. M. Ash)