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I am a member of the Complex Analysis and Operator Theory Research Group.

• The $\overline{\partial}$-Neumann problem
• Boundary geometry of pseudoconvex domains
• Composition, Hankel, and Toeplitz operators on domains in $\mathbb{C}^n$

My publications on MathSciNet, zbMATH, arXiv

orcid.org/0000-0003-0490-0113

1. (with Nazlı Doğan) Compactness of Hankel and Toeplitz operators on convex Reinhardt domains in $\mathbb{C}^2$, submitted; arXiv:2501.02339
2. (with Timothy G. Clos and Željko Čučković) Compactness of composition operators on the Bergman space of the bidisc, submitted; arXiv:2409.09529
3. (with Željko Čučković and Zhenghui Huo) On spectra of Hankel operators on the polydisc, Canad. Math. Bull. 68 (2025), no. 1, 301-317; arXiv:2207.13116
4. (with Trieu Le and Tomas Miguel Rodriguez) On compactness of products of Toeplitz operators, Complex Anal. Oper. Theory 19 (2025), no. 1, Paper No. 2, 12 pp; arXiv:2401.04869
5. (with Tomas Miguel Rodriguez) Compactness of Toeplitz operators with continuous symbols on pseudoconvex domains in $\mathbb{C}^n$, Proc. Amer. Math. Soc. Ser. B 11 (2024), 406-421; arXiv:2302.05013
6. (with Nihat Gökhan Göğüş) A sufficient condition for $L^p$ regularity of the Berezin transform, Complex Var. Elliptic Equ. 68 (2023), no. 8, 1419-1428; arXiv:2108.07082
7. (with Mehmet Çelik and Emil J. Straube) A sufficient condition for compactness of Hankel operators, J. Operator Theory 89 (2023), no. 1, 75-85; arXiv:2011.02656
8. (with Željko Čučković and Zhenghui Huo) Zero products of Toeplitz operators on Reinhardt domains, Canad. Math. Bull. 65 (2022), no. 1, 170-179; arXiv:2009.01951
9. (with Yunus E. Zeytuncu) On compactness and $L^p$-regularity in the $\overline{\partial}$-Neumann problem, Bull. Lond. Math. Soc. 53 (2021), no. 5, 1357-1364; arXiv:2009.13391
10. (with Željko Čučković) Berezin regularity of domains in $\mathbb{C}^n$ and the essential norms of Toeplitz operators, Trans. Amer. Math. Soc. 374 (2021), no. 4, 2521-2540; arXiv:1909.09221
11. (with Nihat Gökhan Göğüş) On convergence of the Berezin transforms, J. Math. Anal. Appl. 491 (2020), no. 1, 124295, 16 pp.; arXiv:2001.09448
12. (with Mehmet Çelik and Emil J. Straube) Compactness of Hankel operators with continuous symbols on convex domains, Houston J. Math. 46 (2020), no. 4, 1005-1016; arXiv:2005.14323
13. (with Debraj Chakrabarti) The restriction operator on Bergman spaces, J. Geom. Anal. 30 (2020), 2157-2188; arXiv:1711.09438
14. (with Mehmet Çelik and Emil J. Straube) Convex domains, Hankel operators, and maximal estimates, Proc. Amer. Math. Soc. 148 (2020), no. 2, 751-764; arXiv:1902.10316
15. (with Akaki Tikaradze) On a theorem of Bishop and commutants of Toeplitz operators in $\mathbb{C}^n$, Rend. Circ. Mat. Palermo (2) 68 (2019), no. 2, 237-246; arXiv:1606.07780
16. (with Timothy G. Clos and Mehmet Çelik) Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains, Integral Equations Operator Theory 90 (2018), no. 6, Art. 71, 14 pp; arXiv:1805.05829
17. (with Nihat Gökhan Göğüş) Schatten class Hankel and $\overline{\partial}$-Neumann operators on pseudoconvex domains in $\mathbb{C}^n$, Monatsh. Math., 187 (2018), no. 2, 237-245; arXiv:1706.04650
18. (with Željko Čučković) Essential norm estimates for the $\overline{\partial}$-Neumann operator on convex domains and worm domains, Indiana Univ. Math. J. 67 (2018), no. 1, 267-292; arXiv:1509.02606
19. (with Timothy G. Clos) Compactness of Hankel operators with continuous symbols, Complex Anal. Oper. Theory 12 (2018), no. 2, 365-376; arXiv:1608.08670
20. (with Željko Čučković and Yunus E. Zeytuncu) A local weighted Axler-Zheng theorem in $\mathbb{C}^n$, Pacific J. Math. 294 (2018), no. 1, 89-106; arXiv:1704.07042
21. (with Željko Čučković) Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$, Math. Scand. 120 (2017), 305-316; arXiv:1509.02394
22. (with Yunus E. Zeytuncu) On compactness of Hankel and the $\overline{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$, J. Geom. Anal. 27 (2017), 1274-1285; arXiv:1510.07924
23. (with Željko Čučković) Compactness of products of Hankel operators on convex Reinhardt domains in $\mathbb{C}^2$, New York J. Math. 20 (2014), 627-643; arXiv:1201.4835
24. (with Mehmet Çelik) Compactness of the $\overline{\partial}$-Neumann operator and of commutators of the Bergman projection with continuous functions, J. Math. Anal. Appl. 409 (2014), no. 1, 393-398; arXiv:1211.5022
* (with Željko Čučković) Erratum to: Axler-Zheng type theorem on a class of domains in $\mathbb{C}^n$. Integral Equations Operator Theory 77 (2013), no. 3, 397-405, Integral Equations Operator Theory 79 (2014), no. 3, 449-450; arXiv:1304.7199
25. (with Željko Čučković) Axler-Zheng type theorem on a class of domains in $\mathbb{C}^n$, Integral Equations Operator Theory 77 (2013), no. 3, 397-405; arXiv:1304.7199
26. Localization of compactness of Hankel operators on pseudoconvex domains, Illinois J. Math. 56 (2012), no. 3, 795-804; arXiv:1110.1823
27. (with Nihat Gökhan Göğüş) Continuity of plurisubharmonic envelopes in $\mathbb{C}^2$, Internat. J. Math. 23 (2012), no.12, 1250124, 12 pp., arXiv:1107.5500
28. Strong Stein neighborhood bases, Complex Var. Elliptic Equ. 57 (2012), no.10, 1073-1085, arXiv:0705.0507
29. (with David Barrett) Irregularity of the Bergman projection on worm domains in $\mathbb{C}^n$, Michigan Math. J. 61 (2012), 187-198; arXiv:1007.5513
30. (with Mehmet Çelik) On compactness of the $\overline{\partial}$-Neumann problem and Hankel operators, Proc. Amer. Math. Soc. 140 (2012), no. 1, 153-159; arXiv:1008.4199
31. A potential theoretic characterization of compactness of the $\overline{\partial}$-Neumann problem, Geometric Analysis of Several Complex Variables and Related Topics, Contemporary Mathematics, vol. 550, Amer. Math. Soc., Providence, RI, 2011, pp. 155-160; arXiv:1011.6653
32. (with Željko Čučković) Compactness of products of Hankel operators on the polydisk and some product domains in $\mathbb{C}^2$, J. Math. Anal. Appl. 371 (2010), 341-346; arXiv:1004.0720
33. (with Divakar Viswanath) Complex singularities and the Lorenz attractor, SIAM Rev. 52 (2010), no. 2, 294-314; arXiv:0901.4968
34. (with Željko Čučković) Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains, J. Funct. Anal. 256 (2009), no.11, 3730-3742; arXiv:0809.1901
35. A remark on irregularity of the $\overline{\partial}$-Neumann problem on non-smooth domains, Proc. Amer. Math. Soc. 136 (2008), no. 7, 2529-2533; arXiv:math/0608501
36. (with Emil J. Straube) Analytic discs, plurisubharmonic hulls and non-compactness of the $\overline{\partial}$-Neumann operator, Math. Ann. 334 (2006), no. 4, 809-820; arXiv:math/0412504
* Compactness of the $\overline{\partial}$-Neumann Problem and Stein Neighborhood Bases, Ph.D. thesis, Texas A&M University, College Station, TX 2006

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