Matija Kazalicki

activity

20242026

collaborators

10 papers

q-bio.PE2026

Shared environmental risk selects asymmetric inheritance of a protective reserve

Quentin Thommen

Environmental sharing changes the value of diversification even when the marginal statistics experienced by each lineage remain unchanged. A minimal model of cell division couples…

math.RA2026

Jordan rigidity of full matrix algebras

Ilja GogiÄ, Matija Kazalicki, Mateo TomaÅ¡eviÄ

Let $F$ be a field of characteristic different from $2$ , and let $M_{n} (F)^{+}$ denote the Jordan algebra of all $n \times n$ matrices over $F$ with product $…

math.NT2026

Quartic Rational Diophantine Quadruples and the Euler Surface

Alen AndraÅ¡ek, Matija Kazalicki, Domagoj Vlah

We prove that there exist infinitely many quartic rational Diophantine quadruples, that is, sets of four pairwise distinct nonzero rational numbers whose pairwise products increase…

math.RA2026

The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup

Ilja GogiÄ, Matija Kazalicki, Mateo TomaÅ¡eviÄ

Let $K$ be a field of characteristic different from $2$ , and let $M_{n} (K)$ be the algebra of all $n \times n$ matrices over $K$ . We consider the correspond…

math.NT2026

Seven squares from three numbers

Andrej Dujella, Matija Kazalicki, Vinko PetriÄeviÄ

We study triples {a,b,c} of distinct nonzero rational numbers such that a+1,b+1,c+1,ab+1,ac+1,bc+1 and abc+1 are all perfect squares. We prove that there exist infinitely many such…

math.NT2025

Equidistribution of Diophantine pairs among the equivalence classes of quadratic forms

Goran DraÅ¾iÄ, Matija Kazalicki, Rudi MrazoviÄ

For a fixed integer n, a pair of nonzero integers {a, c} is called a D(n)-pair if the product ac plus n is a perfect square. In this short note we prove that D(n)-pairs are asympto…