Fabrizio Zanello                          
Assistant Professor
Primary Area: Commutative Algebra

Office: Fisher 226C
(906) 487-1480
Email: zanello@mtu.edu

Education:
  • Ph.D. in Mathematics, Queen's University at Kingston (Canada)
  • M.S. in Mathematics, University of Genoa (Italy)

Recently Taught Courses:
  • MA1160 Calculus with Technology I
  • MA3310 Intro to Abstract Algebra
  • MA5980 Special Topics in Mathematics

Research:
  • ******* PUBLICATIONS IN REFEREED JOURNALS *******
  • --: I numeri di Fermat, Periodico di Matematiche, VII, 5 (1998), No. 2-3, 63-68.
  • --: Some observations on the statistical independence and the distribution of zeros in the Selberg Class, Rend. Circ. Mat. Palermo (2), 52 (2003), 211-223.
  • --: Extending the idea of compressed algebra to arbitrary socle-vectors, J. Algebra 270 (2003), No. 1, 181-198.
  • --: When are There Infinitely Many Irreducible Elements in a Principal Ideal Domain?, Amer. Math. Monthly 111 (2004), No. 2, 150-152.
  • --: Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence, J. Algebra 275 (2004), No. 2, 730-748.
  • --: Stanley's theorem on codimension 3 Gorenstein h-vectors, Proc. Amer. Math. Soc. 134 (2006), No. 1, 5-8.
  • --: Level algebras of type 2, Comm. Algebra 34 (2006), No. 2, 691-714.
  • --: When is there a unique socle-vector associated to a given h-vector?, Comm. Algebra 34 (2006), No. 5, 1847-1860.
  • --: A non-unimodal codimension 3 level h-vector, J. Algebra 305 (2006), No. 2, 949-956.
  • --: Improving the bounds of the Multiplicity Conjecture: the codimension 3 level case, J. Pure Appl. Algebra 209 (2007), No. 1, 79-89.
  • --: Partial derivatives of a generic subspace of a vector space of forms: quotients of level algebras of arbitrary type, Trans. Amer. Math. Soc. 359 (2007), No. 6, 2675-2686.
  • (with J. Migliore): The Hilbert functions which force the Weak Lefschetz Property, J. Pure Appl. Algebra 210 (2007), No. 2, 465-471.
  • --: The h-vector of a relatively compressed level algebra, Comm. Algebra 35 (2007), No. 4, 1087-1091.
  • (with M. Boij): Level algebras with bad properties, Proc. Amer. Math. Soc. 135 (2007), No. 9, 2713-2722.
  • (with J. Migliore and U. Nagel): An improved Multiplicity Conjecture for codimension three Gorenstein algebras, Comm. Algebra 36 (2008), No. 1, 112-119.
  • (with J. Migliore and U. Nagel): A characterization of Gorenstein Hilbert functions in codimension four with small initial degree, Math. Res. Lett. 15 (2008), No. 2, 331–349.
  • (with J. Migliore and U. Nagel): On the degree two entry of a Gorenstein h-vector and a conjecture of Stanley, Proc. Amer. Math. Soc. 136 (2008), No. 8, 2755-2762.
  • --: Interval Conjectures for level Hilbert functions, J. Algebra, to appear.