Michael Filaseta



Education
Ph.D.  Mathematics  University of Illinois at ChampaignUrbana  1984 
B.A.  Mathematics  University of Arizona  1980 
Experience
1995 – Present  Professor  Department of Mathematics, University of South Carolina 
1989 – 1995  Associate Professor  Department of Mathematics, University of South Carolina 
1984 – 1989  Assistant Professor  Department of Mathematics, University of South Carolina 
1980 – 1983  Teaching & Research Assistant  University of Illinois 
Research
Research Interests
 irreducibility of polynomials over the rationals
 computations with sparse or lacunary polynomials
 applications of Pad´e approximations to Number Theory
 integer points close to a curve
 distribution of special sequences of integers in short intervals
 covering systems of the integers and their applications in Number Theory
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Teaching Activities
Current Courses
 Math 784  Algebraic Number Theory
Previous Courses
I have taught over 25 different courses in the department.
 At the undergraduate level, this includes courses in Calculus, Algebraic Coding Theory, The Theory of Equations, Complex Variables, Real Analysis I & II, Discrete Mathematics, and Number Theory.
 At the graduate level, this includes courses in Analytic Number Theory, Algebraic Number Theory, Transcendental Number Theory and Computational Number Theory, as well as a year sequence on the Theory of Irreducible Polynomials.
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Honors and Other Special Scientific Recognition
 Mungo Graduate Teaching Award, 2010
 Mortar Board Excellence in Teaching Award, 1994
 The Distinguished Award of the HardyRamanujan Society (with Ognian Trifonov), 1991
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5 Selected Publications
 Michael A. Bennett, Michael Filaseta and Ognian Trifonov, On the factorization of consecutive integers, J. Reine Angew. Math. (Crelle’s Journal) 629 (2009), 171–200.
 Michael Filaseta, Andrew Granville and Andrzej Schinzel, Irreducibility and greatest common divisor algorithms for sparse polynomials, Number Theory and Polynomials (ed. James McKee and Chris Smyth), LMS Lecture Note Series 352, Cambridge Univ. Press, 2008, pp. 155–176.
 Michael Filaseta, Kevin Ford, Sergei Konyagin, Carl Pomerance and Gang Yu, Sieving by large integers and covering systems of congruences, Journal of the AMS, 20 (2007), 495–517.
 Michael Filaseta, The irreducibility of all but finitely many Bessel polynomials, Acta Math. 174 (1995), 383–397.
 Michael Filaseta and Ognian Trifonov, On gaps between squarefree numbers, II, J. London Math. Soc. 45 (1992), 215–221.
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IMI Preprints and Seminars
IMI Preprints
IMI Seminars
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