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Education:
1990: Ph.D., Rutgers University
1983: Laurea (cum laude), Universita' di Roma "La
Sapienza"
Field of Specialization:
Representations of infinite-dimensional Lie algebras, vertex operators, applications to combinatorics.
Teaching Experience:
1983 - 1989: Rutgers University, Teaching Assistant.
1989 - 1996: University of Connecticut, Assistant Professor.
1996 - present: University of Connecticut, Associate Professor.
Publications:
"Relative twisted vertex operators associated
with the roots of A1(1) and A2(2), the
Jacobi identity, and the generating function identities
for level k standard modules" (in preparation).
"A schema-
approach to problem solving" (in preparation).
"The combinatorial structure of the generating function identities for the standard A1(1)-modules," to be summitted to Communications in Algebra.
"Le Mort Qui Parle: Communication and Jouissance in Mathematics", The Sympton, at http://www.lacan.com (2001).
"Generating function identities for untwisted standard modules of affine Lie algebras," Comm. Algebra, Vol. 28, 9 (2000) 4411-4432.
"Extensions of the Jacobi identity for generalized vertex algebras," J. Pure and Applied Algebra, 106 (1996) 127-139.
"Extensions of the Jacobi identity for relative untwisted vertex operators, generating function identities for untwisted standard modules: the A1(1)-case," J. Pure and Applied Algebra, 98 (1995) 163-187.
"Extensions of the Jacobi identity for vertex operators, and standard A1(1)-modules." Memoir American Math. Soc., Vol. 507. 106 (1993).
"The Jacobi identity for vertex operators, and the representations of the parafermion algebra," Abstracts of American Math. Soc., 868-17-139 (Oct. 1991).
"Relative Z2-twisted vertex operators and standard sl (2,C)-modules," Abstracts of American Math. Soc., 848-17-60 (Apr. 1989).
"On certain classes of rational surfaces," Univ. of Rome (Italy), Thesis, March 1983.
Professional Societies:
Member, American Mathematical Society.
Member, Unione Mathematica Italiana.
Reviews:
Referee of papers for J. Algebra and Comm. in Algebra.
Colloquium Lectures:
The Jacobi identity for vertex operators, and the representations of affine Lie algebras.
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