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.

Links:
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.