معرفی
Nikolaos Tzirakis is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the Department of Mathematics within the College of Liberal Arts & Sciences. He holds a Ph.D. in Mathematics from the University of Massachusetts, Amherst (2004), and has held roles including Postdoctoral Fellow at the University of Toronto (2005-2007) and Membership at the Institute for Advanced Study in Princeton (2004).
Research Focus
Dr. Tzirakis specializes in Harmonic Analysis and Partial Differential Equations, particularly the long-time behavior and regularity properties of dispersive PDEs. His work addresses equations like the Schrödinger equation, Korteweg-de Vries (KdV) systems, and nonlinear wave phenomena. Key areas include boundary value problems on semi-infinite intervals, low-regularity solutions, and well-posedness thresholds.
Publications
Recent works (2020–2024) focus on smoothing estimates for oceanic internal waves, well-posedness for Schrödinger-KdV systems on half-lines, and sharp regularity criteria for dispersive equations. His research bridges theoretical analysis and applications in fluid dynamics and mathematical physics.
Affiliations & Teaching
He maintains an office in CAB 327 and collaborates internationally. His teaching and advising activities are integral to the department’s graduate and undergraduate programs.
