prof. dr. sc. Vjekoslav Kovač

Title:	Full Professor
Location:	A310
Public phone number:	+385-1-460-5890
E-mail:	E-mail
Personal web page:	http://web.math.pmf.unizg.hr/~vjekovac/
Department:	Division of Probability Theory and Mathematical Statistics
mr.sc. graduation year:	2006
PhD graduation year:	2011
Employed in this institution since:	2003

Teaching

undergraduate

• Mathematical analysis 1 (21498) - Lecturer in charge
• Mathematical analysis 2 (21508) - Lecturer in charge
• Seminar 3 - Mathematical competitions (33218) - Lecturer in charge
• Students' competitions in mathematics (133310) - Lecturer in charge, Lecturer in charge, Lecturer in charge

graduate

• Harmonic analysis (61473) - Lecturer in charge

Consultations

in person: Mondays 11-13 (with prior notification); by email: always (I reply as soon as I can)

Biography

Education:

• 2006 - M. Sc. in Mathematics, University of Zagreb, T(1) theorem in classical and dyadic harmonic analysis
• 2011 - Ph. D. in Mathematics, University of California, Los Angeles, Applications of the Bellman Function Technique in Multilinear and Nonlinear Harmonic Analysis
• 2019-20 - visiting researcher at Georgia Institute of Technology, Atlanta

Awards:

• Croatian national award for science for the year 2023, Croatian Ministry of Science, Education and Youth (2024)
• Special award for popularization of science and popularization of the Faculty of Science, Faculty of Science, University of Zagreb (2024)
• Fulbright Scholarship for visiting research scholars (2019-20)
• Young scientist award, Faculty of Science, University of Zagreb (2012)
• Horn-Moez Prize for excellence in first year graduate studies, Special Awards Ceremony, UCLA Math newsletter The Common Denominator (Fall 2007)
• Dorothy Radcliffe Dee Fellowship, Math department, UCLA (2006)
• Top Student scholarship, Izabrano 8 najboljih studenata u Hrvatskoj, Nacional (July 24, 2002)

List of select publications

Selected recent publications:

A. Bulj, V. Kovač, Asymptotic behavior of $L^p$ estimates for a class of multipliers with homogeneous unimodular symbols, Trans. Amer. Math. Soc. 376 (2023), no. 7, 4539-4567.

V. Kovač, K. A. Škreb, Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients, J. Funct. Anal. 284 (2023), issue 9, article 109884, 32 pp.

A. Carbonaro, O. Dragičević, V. Kovač, Sharp $L^p$ estimates of powers of the complex Riesz transform, Math. Ann. 386 (2023), 1081-1125.

A. Carbonaro, O. Dragičević, V. Kovač, K. A. Škreb, Trilinear embedding for divergence-form operators with complex coefficients, Adv. Math. 431 (2023), article 109239, 72 pp.

P. Durcik, V. Kovač, A Szemerédi-type theorem for subsets of the unit cube, Anal. PDE. 15 (2022), no. 2, 507-549.

Professional memberships

Administrative and professional duties:

• Member of the National board for mathematics
• Managing editor of the research journal "Glasnik Matematički"
• Co-organizer of the colloquium "Sibe Mardešić"
• Coordinator of the Functional Analysis Seminar

Research interests (within the field of Mathematics):

• Real harmonic analysis, more specifically time-frequency analysis and multilinear singular integrals
• Applications of real analysis techniques to ergodic theory, martingales, geometric measure theory, arithmetic combinatorics, and nonlinear scattering
• Various topics related to analysis, combinatorics, or probability
• Problem solving skills

List of select projects

HRZZ IP-2022-10-5116: Fourier analysis and applications (FANAP), duration: December 31, 2023 - December 30, 2027

HRZZ UIP-2017-05-4129: Multilinear and Nonlinear Harmonic Analysis and Applications (MUNHANAP), duration: March 1, 2018 - February 28, 2023

Past employments

2023–  Full Professor (field: Mathematics), Dept. of Mathematics, Faculty of Science, University of Zagreb