Stefan Catoiu

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)