Daniel Eli Spector

Dr. Daniel Eli Spector is a Distinguished Professor in the Department of Mathematics at National Taiwan Normal University (NTNU), Taipei, Taiwan. He holds a Ph.D. in Mathematics from Carnegie Mellon University and has held academic positions at institutions including Zhejiang University, Technion, National Chiao Tung University, and Okinawa Institute of Science and Technology. His research focuses on theoretical mathematics, particularly in Calculus of Variations, Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory. He has contributed significantly to semi-continuity problems in the Calculus of Variations and functional inequalities related to PDEs.

• Educations:
• Bachelor of Science degrees in Mathematics, Chemistry, and Computer Science from Quincy University (2003-2006)
• Master of Science in Mathematics from Southern Illinois University (2006-2007)
• Master of Science in Mathematics from Carnegie Mellon University (2007-2008)
• Ph.D. in Mathematics from Carnegie Mellon University (2008-2011)

Research Interests: His work addresses semi-continuity in variational problems, functional inequalities, and regularity theory for PDEs. Notably, he has developed tools for fractional gradient problems and established connections between functional analysis and geometric measure theory.

Awards:

• 2016 Taiwan National Center for Theoretical Science - Young Researcher Award
• 2017 National Chiao Tung University College of Science - Young Researcher Award

Advising & Grants: While specific grant details are not provided, his extensive research output indicates active participation in funded projects. He has advised students in areas tied to his research, though no named advisees were listed in the provided texts. His work has been published in top journals like Mathematische Annalen and Journal of Functional Analysis.

Labs/Teams: He is affiliated with NTNU's Mathematics Department and contributes to collaborative research networks in analysis and PDEs.