Dr. William Beckner

Professor

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Biography

William Beckner is a professor of mathematics known for his significant contributions to harmonic analysis and geometric inequalities. He holds the Paul V. Montgomery Centennial Memorial Professorship at the University of Texas at Austin. Beckner earned his degree in physics from the University of Missouri in 1963 and pursued a Ph.D. in mathematics at Princeton University, completing it in 1975 under the mentorship of Elias M. Stein. During his doctoral studies, he engaged in postdoctoral research at the University of Chicago under the guidance of A.P. Calderón. Beckner's academic career includes faculty positions at the University of Chicago, and he joined UT Austin in 1983. His research focuses on the interplay of symmetry, smoothness, and uncertainty in characterizing the structures of geometric manifolds, developing new paradigms in fundamental inequalities and information encoding. Throughout his career, he has been recognized with numerous accolades, including the Salem Prize in 1975 for his work in Fourier analysis and has held visiting appointments at esteemed institutions such as Columbia University and Princeton University. Beckner has also contributed significantly to administrative roles at UT Austin, including chairing the mathematics department and the Faculty Council. His research examines critical questions concerning the geometry of manifolds and has applications in various fields such as mathematical physics and differential equations.

Research Interests

Awards

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Salem Prize

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Sloan Research Fellow

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ICM Invited Lecture

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Fellow, American Mathematical Society

Requirements for University of Texas at Austin

Master Program
Requirements
GPA Requirement
Required:3
GRE General
TOEFL
Total
Required:79
IELTS
Overall
Required:6.5
Prerequisites
Bachelor's degree from a regionally accredited institution
Application Checklist
  • Online application
  • Application fee
  • Official transcripts
  • Statement of Purpose
  • Three letters of recommendation
  • CV/Resume
Specialization Notes

General requirements for the Graduate School at UT Austin apply to all programs unless otherwise specified.