Daniele Bartolucci

Daniele Bartolucci is a Full Professor in Mathematical Analysis at the Department of Mathematics, University of Rome Tor Vergata. He is actively engaged in research and teaching, with a focus on Partial Differential Equations and related mathematical fields. His academic activities span multiple institutions through the joint PhD program with Sapienza University of Rome and Roma Tre University.

Professor Bartolucci's primary research interests include:

• Partial Differential Equations, particularly Liouville type equations
• Blow-up analysis and pointwise estimates for equations with singular data
• Self-dual vortices in Gauge theories
• Prescribing Gaussian curvature problem on surfaces with conical singularities
• Mean-field type equations and their connection to statistical mechanics
• Harnack-type inequalities for blow-up solutions

His recent publications (2017-2019) demonstrate an active research program with numerous collaborations, particularly with A. Jevnikar, C.S. Lin, Y. Lee, W. Yang, and G. Tarantello. These works focus on advanced topics in nonlinear PDEs, including mean field equations, blow-up analysis, and geometric aspects of differential equations. The research has significant applications in mathematical physics, particularly in understanding phenomena related to cosmic strings and two-dimensional turbulence.

Professor Bartolucci has received research support through the MIUR Excellence Department Project MATH@TOV and the 'Beyond Borders' project sponsored by the University of Rome Tor Vergata, which fund his collaborative research activities and specialized course offerings.

As an educator, Professor Bartolucci follows a rigorous approach emphasizing understanding concepts from their causes rather than accepting them on faith. His teaching portfolio is extensive:

• Undergraduate courses in Mathematical Analysis for Engineering and Mathematics students since 2008
• PhD courses on 'Introduction to PDE' for the joint PhD program of Rome's universities
• Specialized courses on 'Liouville Equations with Applications'
• Regular office hours in room 1107 at the Department of Mathematics

His office is located in room 1107 at the Department of Mathematics, University of Rome Tor Vergata, where he maintains regular office hours for students.