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Dimitris Koukoulopoulos

Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green St.
Urbana, Illinois 61801
Office: 108 Altgeld Hall
Phone: (217) 244-5927
E-mail: dkoukou2(at)math(dot)uiuc(dot)edu

Biographical Information

Research Interests

My research interests lie primarily in number theory. I am most interested in questions related to the multiplicative structure of integers; specifically, the distribution of the divisors of integers as well as prime number theory. Furthermore, I am interested in complex and harmonic analysis and their interaction with number theory. My thesis advisor is Kevin Ford.

Publications

  1. "A reciprocity theorem for certain hypergeometric series" (with Bruce C. Berndt), Proc. Amer. Math. Soc. 137 (2009), 2369-2373. PDF file.
  2. "Localized factorizations of integers", to appear in Proc. London Math. Soc, PDF file (36 pages).
  3. "Divisors of shifted primes", to appear in Int. Math. Res. Not. IMRN, PDF file (30 pages).
  4. "On the number of integers in a generalized multiplication table", in preparation.

Teaching

Here are some courses I taught in previous semesters.

Math Links