Professor
(205) 934-2154
University Hall 4032
Research Interests: Mathematical physics, Spectral theory, Inverse problems
Teaching Interests: Calculus and differential equations, Linear algebra, Real and complex analysis
Office Hours: By appointment
Education:
- Doctoral degree (Dr.rer.nat.), Technische Universität Braunschweig, Germany
I was born in 1958 in Germany and studied physics and mathematics at the Technische Universität Braunschweig, where I received my doctoral degree (Dr.rer.nat.) in 1987. I worked as an assistant there from 1987 through 1990. In September 1990 I came to UAB as an Assistant Professor. I became an Associate Professor in 1994 and a Professor in 1999.
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Research & Teaching Interests
My research interests are (and have always been) motivated by problems in mathematical physics. Since the laws of nature are encoded in differential equations, these have naturally been at the core of my studies. An important tool for the study of linear differential equations (e.g., the Schrödinger equation) is spectral theory. I am especially interested in inverse spectral and scattering problems.
Research Interests
Mathematical Physics, Spectral Theory, and Inverse Problems.
Athens Talk — The Spectral Problem for the Dispersionless Camassa-Holm Equation- Atlanta Talk — Stability for the inverse resonance problem for the CMV operator
- München I — On the Inverse Resonance Problem
- München II — On Leighton's Comparison Theorem
Teaching Interests
Calculus and Differential Equations, Linear Algebra, and Real and Complex Analysis.
- Calculus of several variables lecture notes for MA642
- Seminar on Jacobi Matrices
- Algebra lecture notes for MA 630/632
- Advanced Calculus lecture notes for MA 440/540 & 441/541
- Complex Analysis lecture notes for MA 445/545
- Complex Analysis lecture notes for MA 648
- Real Analysis lecture notes for MA 645/646
- Linear Algebra lecture notes for MA 434/534
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Recent Courses
- Real Analysis I
- Real Analysis II
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Select Publications
A full list of Dr. Weikard's publications can be found on his personal website.