Marius Ionescu - Assistant Professor of Mathematics

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Marius Ionescu

Assistant Professor of Mathematics
Mathematics, 201K McGregory Hall
p 315-228-6118

Degree

BS (1997), MS (1998), University of Transilvania, Romania; PhD, University of Iowa, 2005

Teaching Experience

John Wesley Young Research Instructor, Dartmouth College 2005-07; Visiting Assistant Professor, Cornell University, 2007-08; Postdoctoral Fellow, University of Connecticut 2009-10

Specialties

Real Analysis, Dynamical Systems, Calculus, Linear Algebra, Differential Equations

Interests

Functional analysis, operator algebras, differential equations on fractals, dynamical systems

Publications

  • "Complex powers of the Laplacian on PCF Self-Similar Fractals as Calderón-Zygmund Operators," (with Luke Rogers), Commun. Pure Appl. Anal., accepted
  • ''Hausdorff Measures and KMS States," (with Alex Kumjian), Indiana Univ. Math. J., accepted
  • "Pseudodifferential operators on Fractals," (with L.G. Rogers and R.S. Strichartz), Revista Matematica Iberoamericana, accepted
  •  "Remarks on the Ideal Structure of Fell Bundle C*-Algebras," (with Dana  P. Williams), accepted, Houston Journal of Mathematics
  • "Markov Operators and $ C^{\ast}$-Algebras," (with Paul S. Muhly and Victor Vega), accepted for publication in the Houston Journal of Mathematics.
  • ''A Classic Morita Equivalence Result for Fell Bundle $ C^{\ast}$-Algebras," (with Dana P. Williams), Math Scand, 108 No. 2 (2011), 251-263
  • "The Resolvent Kernel for PCF Self-Similar Fractals," (with E.P.J. Pearse, L. G. Rogers, H. Ruan, R.S. Strichartz), Trans. Amer. Math. Soc., 362 (2010), 4451-4479.
  • "The Generalized Effros-Hahn Conjecture for Groupoids," (with Dana P. Williams), Indiana Univ. Math. J., 58 No. 6 (2009), 2489-2508
  •  "Irreducible representations of groupoid C*-algebras," (with Dana P. Williams), Proc. Amer. Math. Soc. 137 (2009), 1323-1332
  • "Groupoid Methods in Wavelet Analysis," (with Paul Muhly), Group representations, ergodic theory, and mathematical physics: a tribute to George W. Mackey, 193--208, Contemp. Math., 449, Amer. Math. Soc., Providence, RI, 2008
  •  $ C^{\ast}$-algebras associated with Mauldin-Williams graphs," (with Y. Watatani), Can. Math. Bull, 51 (2008), no 4, 545--560.
  • "Operator algebras and Mauldin-Williams graphs," Rocky Mountain Journal of Mathematics, 37 (2007), no. 3, 829 -- 849.
  • "Mauldin-Williams graphs, Morita Equivalence and isomorphisms," Proc. Amer. Math. Soc. 134 (2006), no. 4, 1087--1097

Dissertation

"Mauldin-Williams Graphs and C*-algebras"; thesis adviser: Professor Paul S. Muhly

Distinctions

  • Simons Foundation Collaboration Grant, 2011-2016
  • 2006 A.C. Spriesterbach Dissertation Prize, University of Iowa
  • Fulbright Scholar 1999-2004 
Please visit my home page at http://math.colgate.edu/~mionescu. There you can find more information about my research as well as links to the webpages for the courses I teach.