Research

My primary interest is additive combinatorics. Most of the work I have done or am doing is connected to additive properties of sets of positive integers. Namely:

(with A.Dubickas, T.Schoen, M.Silva) Finding Large co-Sidon Subsets in Sets With a Given Additive Energy, to appear in European Journal of Combinatorics

(with J.Rue and A.Zumalacarregui) On The Error Term of The Logarithm of The lcm of a Quadratic Sequence, to appear in Journal de Théorie des Nombres de Bordeaux

(with A.Dubickas) On Multiplicative Functions Which Are Additive on Sums of Primes, to appear in Aequationes Mathematicae

(with A.Dubickas) Sumsets of Sparse Sets, Periodica Mathematica Hungarica, 64 (2012), 2

(with L.Rackham) B_h Sequences in Higher Dimensions, The Electronic Journal of Combinatorics, 17 (2010), #35

(with A.Dubickas) Infinite Sets of Integers Whose Distinct Elements Do Not Sum to a Power, Journal of Integer Sequences, 9 (2006), 4

Manuscripts:

(with J.Cilleruelo, J.Rue and A.Zumalacarregui) The Least Common Multiple of Sets of Positive Integers, preprint

Other

I am one of authors of Olympiad mathematics textbook “Matematikos Knyga” (in Lithuanian). It is licensed by Creative Commons BY-SA license, therefore free (as in freedom). You may find it in olimpiados.lt or in bitbucket.