Vita for Michael Filaseta
Address:
Mathematics Department
University of South Carolina
Columbia, SC 29208
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Date/Place of Birth:
August 27, 1958
Fort Knox, KY
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Office Phone:
(803) 777-6589
Education:
Ph.D. |
University of Illinois |
1980-1984 |
B.A. |
University of Arizona |
1976-1980 |
Professional Experience:
Full Professor, University of South Carolina
(1995-present) |
Associate Professor with Tenure, University of South
Carolina (1989-1995) |
Assistant Professor, University of South Carolina
(1984-1989) |
Teaching and Research Assistant, University of Illinois
(1980-1984) |
Awards:
Distinguished Award of the Hardy-Ramanujan Society
(joint with Ognian Trifonov), 1991 |
Mortar Board Excellence in Teaching Award, 1994 |
Commendation for Teaching (University of Illinois), 1984 |
University Fellowship (University of Illinois), 1980-1982 |
Grants:
National Security Agency (PI), Factorization of
lacunary
polynomials and Galois groups of Laguerre polynomials,
joint with Douglas Meade,
2004-2006 |
National Science Foundation (PI), On the factorization
of lacunary polynomials,
joint with Douglas Meade,
2002-2005 |
National Science Foundation (Co-PI), SCREMS Grant,
2000-2003 |
National Security Agency (PI), Problems on the
irreducibility of polynomials,
1998-2000 |
National Security Agency (PI), Finite differences and
irreducibility techniques in Analytic
Number
Theory,
1997-1999 |
National Science Foundation (PI), Finite difference
techniques and irreducibility theorems in
Analytic Number
Theory,
1994-1997 |
National Science Foundation (Co-PI), Computational
equipment for Algebra, Combinatorics,
and Number Theory,
1994-1996 |
National Security Agency (PI), Problems related to
finite differences, fractional parts, and
irreducibility,
1992-1994 |
National Science Foundation (PI), Gaps between k-free
numbers, finite differences, and
exponential sums,
1989-1991 |
USC Research and Productive Scholarship Grant (PI), Applications
of sieve methods to irreducible polynomials,
1985-1986 |
Recent Talks:
Research Papers:
Doctoral Students:
Brian
Douglas Beasley, The distribution of powerfree values of
irreducible polynomials,
1995 |
Ikhalfani (Junior) Solan, Norms of factors of
polynomials, an extension of a theorem of
Ljunggren, and the distribution of
k-free numbers,
1996 |
Richard Lanier Williams, Jr., The irreducibility of a
certain class of Laguerre polynomials, 2000 |
Angel
Kumchev, Diophantine problems involving prime numbers, 2001
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Martha Ann
Allen, Generalizations of the irreducibility theorems of
I. Schur, 2001 |
Travis Kidd, On the irreducibility of the Laguerre
polynomials L_m^(m)(x),
2004 |
Current
Doctoral Students:
Masters
Students:
Janis Anderson Alexander, Irreducibility criteria for
polynomials
with non-negative coefficients, 1987 |
Melonie Ann Rodgers, Problems and results on
irreducible
polynomials, 1988 |
Angela M. Andrews, On the density of irreducible
polynomials with
coefficients 0 and 1, 1989 |
Jacklyn R. Pitts, On an irreducibility theorem of I.
Schur, 1989 |
Grace M. De Ramos, Elementary approaches to a gap
problem involving
k-free numbers, 1989 |
Roger E. Rosenthal, Dirichlet's theorem for
polynomials, 1989 |
Shannon McFaul Smith, An algorithm of Lenstra,
Lenstra, and Lovasz, 1995 |
Patrick Wesley Harley, On a generalization of an
irreducibility
theorem of I. Schur, 1995 |
Gerald W. Baygents, Reducibility criterion in
polynomials with
non-negative coefficients, 1996 |
Brian Charles Hipp, A variation on a theorem of
Ljunggren, 1997 |
James D. Blair, Determining the irreducibility of
polynomials
through the use of Newton polygons, 1998 |
Martha Allen, The irreducibility theorems of I. Schur,
1999 |
Michael Peretzian Williams, Eisenstein's criterion
applied to mth order Bernoulli polynomials of degree m, 2001 |
Robert Murphy,
Factorization of polynomials with small Euclidean norm,
2003 |
Manton Matthews, Jr., On the factorization of f(x) x^n
+ g(x), 2004 |
Current
Masters Students: