Gerald Kuba

Gerald Kuba is ao. Univ. Prof. (Associate Professor) at the University of Natural Resources and Life Sciences, Vienna (BOKU), Institute of Mathematics, Gregor-Mendel-Straße 33, 1180 Wien. His research centres on analytic number theory, lattice-point problems, enumeration of discrete structures such as metric spaces, topologies, and Hamel bases, and set-theoretic real analysis.

He has been involved in three Austrian Science Fund (FWF) projects led by Werner Georg Nowak, serving as sub-project leader or scientific staff between 1998 and 2012, all devoted to lattice points and analytic number theory. Since then he has continued an active solo publication record with over 80 refereed articles.

Research interests

• Analytic number theory & lattice-point asymptotics
• Enumerative combinatorics of metric, ultrametric and ordered spaces
• Set-theoretic real analysis – decompositions of ℝ, Cantor sets, saltus functions
• Functional equations and didactics of mathematics

Recent publications (2025-2021) explore connected Hamel bases in Hilbert spaces, functional equations of Cauchy type, Cantor sets as fields, and counting discrete structures, illustrating a persistent focus on combining classical analysis with enumerative problems.

Presentations & outreach

• Invited talk “On the differentiability of certain saltus functions”, Mathematics Colloquium, University of Vienna, 2009

No doctoral students or supervised theses are recorded in the BOKU database under his name; no personal grants after 2012 are shown. He remains affiliated with the Institute of Mathematics and continues to publish actively, hence is regarded as an active faculty member.