Tuğrul Burak Gürel

Professor of Mathematics and Department Chair

Department of Mathematics
Boğaziçi University
Bebek 34342 İstanbul-TR

Office: TB 255 (Anderson Hall, South Campus), e-mail: bgurel at boun edu tr

Short Bio:
Faculty member at Boğaziçi University, since 2002.
Visiting research faculty at the University of Illinois, Urbana-Champaign on a Fulbright fellowship, 2016-2017.
Visiting researcher at the Indiana University, Bloomington, 2013/04-2013/05.
Visiting researcher at the University of Leeds, 2010/09-2010/10.
Postdoctoral research fellow at the University of Paderborn on an Alexander von Humboldt fellowship, 2000-2002.
PhD at Bilkent University, 1995-1999.
MSc at Bilkent University, 1993-1995.
BSc at ODTÜ, 1990-1993.

Research Interests: Dispersive Partial Differential Equations, Analysis.
Analysis of PDEs feed on arXiv.

The fifth order KP-II equation on the upper half-plane, with M.B. Erdoğan and N. Tzirakis, https://arxiv.org/abs/1903.03580.
The derivative nonlinear Schrödinger equation on the half line, Ann. I. H. Poincaré AN 35 (2018), 1947-1973, with M.B. Erdoğan and N. Tzirakis, https://arxiv.org/abs/1706.06898.
Smoothing for the fractional Schrödinger equation on the torus and the real line, Indiana Univ. Math. J. 68 No. 2 (2019), 369-392, with M.B. Erdoğan and N. Tzirakis, https://arxiv.org/abs/1703.00946.
On the integrability of a generalized Davey-Stewartson system, Physica D 259 (2013), 1-7, with A. Eden, pdf.
Focusing and defocusing cases of the purely elliptic generalized Davey-Stewartson system, IMA J. Appl. Math. 74 (2009), 710-725, with A. Eden and E. Kuz, pdf.

In 2016, M.B. Erdoğan and I co-organized this Workshop on Nonlinear Dispersive PDE.

A beautiful book on dispersive differential equations authored by my collaborators and good friends Burak and Nikos. Highly recommended reading if you are interested in the topic as a student or a curious mathematician. Published by Cambridge University Press as a part of London Mathematical Society Student Texts series in 2016.

See also Nikos's lecture notes from different summer schools on dispersive partial differential equations; nonlinear Schrödinger, KdV equations.

Current Courses: Math 551 Partial Differential Equations I
Recent Courses: Math 231, Math 234, Math 433

Grants: TÜBİTAK 118F152, BAP 14081

Current Students: Engin Başakoğlu
Past Students:
Şefika Kuzgun, Smoothing estimates for the periodic KdV equation, 2016.
Fatma Çiçek, Algebro-geometric solutions of the Kadomtsev-Petviashvili equation, 2014 (co-supervised with A. Boysal).
Ali Taghiyev, Null controllability of the 1-d heat equation with switching controls, 2013.
İlker E. Çolak, Integrability of equations of Davey-Stewartson type, 2009.
Deniz Bilman, On the Zakharov-Schulman equations, 2009 (co-supervised with A. Eden).
Gökhan Goralı, Integrability of symplectic mappings, 2004.

Math Department homepage, Undergraduate program, Graduate program, IMBM, Feza Gürsey Center.
Math Department (almost) weekly colloquium and seminar talks.
As a linux, and free and open source software enthusiast/supporter: foss, distrowatch, fsf.
My daily driver is the wonderful arch-based linux distro Manjaro.