Ognjan Trifunov — IMO medalist

Bulgarian-American number theorist; Associate Professor of Mathematics at the University of South Carolina, Columbia. Ph.D. from Sofia University (1989, advisor Vasil Atanasov Popov). Two-time Bulgarian IMO team member (bronze 1977, silver 1978) as a mathematics-high-school student in Varna. Research interests: analytic number theory and approximation theory, particularly finite differences and lattice points near curves, and gaps between squarefree numbers.

Ognian Trifonov is a Bulgarian-American mathematician and Associate Professor of Mathematics at the University of South Carolina, working in analytic number theory and approximation theory. As a school student he represented Bulgaria at the International Mathematical Olympiad, taking bronze in 1977 and silver in 1978. He earned his Ph.D. in mathematics from Sofia University "St. Kliment Ohridski" in 1989 and has published on gaps between squarefree numbers, including joint work with Michael Filaseta.

Details

LocationColumbia, South Carolina, USA

Company sitesc.edu

UniversitySofia University "St. Kliment Ohridski"

Analytic Number TheoryApproximation TheoryNumber TheoryLattice points near curvesanalytic number theoryapproximation theorysquarefree numbers

Notes

Co-authored a 2023 arXiv paper 'Representing positive integers as a sum of a squarefree number and a small prime' with Jack Dalton, showing he remained research-active in number theory four decades after his IMO years.2023
His 1992 squarefree-numbers paper is dedicated to the memory of Vasil Popov - his Ph.D. advisor at Sofia University - confirming the advisor-student link from both ends.1992
Co-authored 'On Gaps Between Squarefree Numbers II' with Michael Filaseta (J. London Math. Soc., 1992), continuing the squarefree-gap problem.1992