Enrique Villamor

Courses

Summer 2021

Differential Equations

Spring 2021

Calculus II Syllabus
Calculus II Department Syllabus
Time Series Analysis for Finance Syllabus

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Calculus II Syllabus
Calculus II Department Syllabus
Differential Equations Syllabus

Research Areas

1. A Generalization of Riesz's Uniqueness Theorem. ( pdf )
2. An Extension of Reŝhetnyak's Theorem. ( pdf )
3. An Extremal Length Characterization of Closed Sets with Zero Logarithmic Capacity on Quasicircles. ( pdf )
4. Analytic Properties of Monotone Sobolev Functions. ( pdf )
5. Boundary Limits For Bounded Quasiregular Mappings. ( pdf )
6. Boundary Values For Some Classes of Functions. ( pdf )
7. Boundary Values of Quasiregular Mappings. ( pdf )
8. Discreteness And Openness For Mappings of Finite Distortion In The Critical Case p = n - 1. ( pdf )
9. Geometry Proofs of some Classical Results on Boundary Values For Analytic Functions. ( pdf )
10. Interpolating Multiplicity Varieties For Aop (C^n). ( pdf )
11. Interpolating Multiplicity Varieties in C^n. ( pdf )
12. Interpolation In The Unit Ball of C^n. ( pdf )
13. Mappings With Integrable Dilatation in Higher Dimensions. ( pdf )
14. On A Theorem of Baernstein. ( pdf )
15. On Slowly Increasing Unbounded Harmonic Functions. ( pdf )
16. On the Brennan Conjecture. ( pdf )
17. On Uniqueness Sets For Areally Mea p-Valent Functions. ( pdf )
18. Regularity Theory And Traces of A-Harmonic Functions. ( pdf )
19. Traces of Monotone Functions in Weighted Sobolev Spaces. ( pdf )
20. Traces of Monotone Functions Sobolev Functions. ( pdf )

Master Track in Risk Analysis and Management

Education

PhD, Washington University. Complex Analysis