Aljaž Zalar

Assistant Professor Aljaž Zalar is affiliated with the University of Ljubljana at the Faculty for Computer and Information Science. His research focuses on Real Algebraic Geometry, Truncated Moment Problems, and Matrix Polynomials, with applications in Operator Theory and Positive Linear Maps.

• PhD in Mathematics, University of Ljubljana (2017)
• MSc and BSc in Mathematics, University of Ljubljana (2013, 2011)

Zalar's work bridges theoretical mathematics and computational applications, including copositive matrices, positive semidefinite matrix completions, and noncommutative polynomial positivity. His recent projects address truncated moment problems on curves and algebraic structures in optimization.

His publications from 2016–2025 span journals like Linear Algebra and its Applications, SIAM Journal on Applied Algebra and Geometry, and Integrable Equations and Operator Theory, emphasizing polynomial operator analysis and matrix inequalities.

Zalar supervises postdoctoral and graduate students, including PhD candidate Rajkamal Nailwal and Igor Zobovič, and mentors undergraduate researchers. He leads the ARIS grant project J1-60011 on real algebraic geometry approaches to moment problems.