Karma-tamsayılı doğrusal olmayan programlama, konik programlama, global optimizasyon, elektriksel sistemlerde özel ilgi ile mühendislik optimizasyon problemleri.
Dey, Santanu S. and Kocuk, Burak and Santana, Asteroide (2020) "Convexifications of rank-one-based substructures in QCQPs and applications to the pooling problem", Journal of Global Optimization, Vol.77, No.2, 227-272 (SCI)
Kocuk, Burak and Dey, Santanu S. and Andy, X. Sun (2018) "Matrix minor reformulation and SOCP-based spatial branch-and-cut method for the AC optimal power flow problem", Mathematical Programming Computation, Vol.10, No.4, 557-596 (ESCI)
Kocuk, Burak and Van Hoeve, Willem-Jan, "A computational comparison of optimization methods for the Golomb ruler problem", Integration of Constraint Programming, Artificial Intelligence, and Operations Research: 16th International Conference, CPAIOR 2019, Thessaloniki, Greece, June 4–7, 2019, Proceedings, Rousseau, Louis-Martin and Stergiou, Kostas (eds.), Cham, Switzerland: Springer International Publishing, April 2019, 409-425