Deniz Genlik

Deniz Genlik is a J. L. Doob Research Assistant Professor (postdoctoral position) in the Department of Mathematics at the University of Illinois at Urbana-Champaign, mentored by Felix Janda. This position honors mathematician Joseph Leo Doob and involves advanced research in algebraic geometry.

Education

• Ph.D. in Mathematics: Ohio State University (Advisor: Hsian-Hua Tseng)
• M.Sc. in Mathematics: Middle East Technical University (Advisor: Sergey Finashin; Thesis on symplectic topology)

Research Focus

Primary research explores algebraic geometry with emphasis on Gromov-Witten theory, including:

• Mirror symmetry phenomena and holomorphic anomaly equations
• Crepant resolution correspondences for singular spaces
• Hilbert schemes of points and enumerative invariants
• Symplectic topology techniques (from MSc research)

Professional Activities

• Co-organizer: Workshop on Tevelev Degrees and Related Topics (UIUC, Oct 26-27)
• Co-organizer: UIUC Algebraic Geometry Preprint Seminar

Publication Trends

Recent articles (2018-2024) concentrate on Gromov-Witten invariants for orbifolds, crepant resolution proofs, and Hilbert scheme applications. Key themes include mathematical physics connections through topological strings and anomaly equations. Earlier work investigated symplectic topology methods for Lagrangian submanifolds.