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WoCa Lunch: A Program for Female Students to Get Informed About PhD Studies

2025-01-01T00:00:00Z

Title: WoCa Lunch: A Program for Female Students to Get Informed About PhD Studies Authors: Vujošević Janičić, Milena; Ábrahám, Erika; Mersni, Amal; Yeremenko, Oleksandra; Goulão, Miguel Abstract: The underrepresentation of women in informatics is a trend that continues across educational levels, with only a small number advancing into PhD studies. This has far-reaching consequences: with fewer female researchers, professors, supervisors, mentors, and role models, there exists a detrimental cycle where the absence of diversity perpetuates itself. This chapter presents the Women Career Lunch (WoCa Lunch) program, designed to be executed in informatics/computer science departments to facilitate the transition to PhD, focusing on supporting women in this transition. Based on a large survey, we identified topical areas relevant to an informed decision on whether or not enrolling in PhD studies is the optimal next step on one’s career path. These topics are structured into modules, and addressed via interviews with guests in small groups having a familiar atmosphere. A detailed description of the contents in different languages, guidelines for the execution, and reporting on pilot executions make the program easily implementable locally with relatively little effort and a low budget.

Gaussian Curvature Conjecture for Minimal Graphs

2026-02-15T00:00:00Z

Title: Gaussian Curvature Conjecture for Minimal Graphs Authors: Kalaj, David; Melentijević, Petar Abstract: In this paper, we solve the longstanding Gaussian curvature conjecture of a minimal graph S over the unit disk. The conjecture asserts that for any minimal graph above the unit disk, the Gaussian curvature at the point directly above the origin 2 satisfies the sharp inequality |K | < π²/2. We first reduce the conjecture to the problem of estimating the Gaussian curvature of certain Scherk-type minimal surfaces defined over bicentric quadrilaterals inscribed in the unit disk, containing the origin. We then provide a sharp estimate for the Gaussian curvature of these minimal surfaces at the point above the origin. Our proof employs complex-analytic methods, as the minimal surfaces in question allow a conformal harmonic parameterization.

A strengthening of the Harnack inequality

2026-03-01T00:00:00Z

Title: A strengthening of the Harnack inequality Authors: Svetlik, Marek Abstract: We prove the stronger version of Harnack’s inequality for positive harmonic functions defined on the unit disc.

Roots in product systems

2021-01-01T00:00:00Z

Title: Roots in product systems Authors: Vujošević, Biljana Abstract: We observe the time ordered product system IΓ⊗(F), where F is a two-sided Hilbert module over the C∗-algebra B of all bounded operators acting on a Hilbert space of finite dimension. We discuss the notion of roots therein and we present the form of all continuous roots of the vacuum unit ω. Also, we look at the relation between F and the set Rω (the set of all continuous roots of ω in IΓ⊗(F)). We state that the continuous roots of ω in the time ordered product system IΓ⊗(F) are indexed by the elements of F itself, via the isomorphism between Hilbert left-right modules F and Rω.