معرفی
Luke Rogers is a Professor in the Department of Mathematics at the University of Connecticut. He is reachable via the email luke.rogers@uconn.edu and holds office hours on Tuesdays and Thursdays from 10:15am to 11:30am in MONT 339.
- Research Interests: His work focuses on analysis on fractals, spectral theory of differential operators, harmonic analysis, and applications to mathematical physics.
Luke Rogers' research integrates fractal geometry with analytical methods to study differential operators such as Laplacians and magnetic operators on non-smooth domains. His recent publications highlight advancements in Besov space theory via heat semigroups, spectral properties of pseudo-differential operators on fractals, and energy discretization on fractal structures like the Koch Snowflake and Sierpinski Gasket.
Trends in his work include the exploration of power dissipation in fractal AC circuits, magnetic Laplacians on resistance spaces, and complex powers of fractal operators using Calderón-Zygmund theory. His contributions span both theoretical and applied mathematics, emphasizing the unique challenges and solutions in fractal domains.
