Michael Fekete: The Hungarian-Israeli Mathematician Who Shaped Modern Mathematics

A Pioneer in Transfinite Diameter and Extremal Polynomials

Michael Fekete, a Hungarian-Israeli mathematician, is renowned for his groundbreaking contributions to the field of mathematics, particularly in the areas of transfinite diameter and extremal polynomials. His work has had a profound impact on the development of modern mathematics, influencing generations of mathematicians and scientists.

Early Life and Education

Born on July 19, 1886, in Zenta, Austria-Hungary (now Senta, Serbia), Fekete received his PhD in 1909 from the University of Budapest (later renamed Eötvös Loránd University). Under the guidance of Lipt Fejér, Fekete developed a strong foundation in mathematics, which would serve as the basis for his future research.

The Göttingen Connection and Early Career

After completing his PhD, Fekete moved to the University of Göttingen, a hub for mathematics at the time. This pivotal period in his life exposed him to the works of prominent mathematicians, shaping his research interests and methodologies. Upon returning to the University of Budapest, Fekete attained the title of Privatdozent and began his teaching career, mentoring students, including the esteemed János Neumann.

A Fruitful Collaboration and the Birth of Extremal Polynomials

Fekete's association with Neumann led to a seminal paper on extremal polynomials in 1922, marking Neumann's first scientific publication. This collaboration not only showcased Fekete's ability to nurture young talent but also laid the groundwork for his subsequent research focus on transfinite diameter.

The Hebrew University of Jerusalem and a New Chapter

In 1928, Fekete immigrated to Mandate Palestine, joining the Institute of Mathematics at the Hebrew University of Jerusalem as one of its founding instructors. He quickly rose through the ranks, becoming a professor in 1929, and eventually, the head of the institute, succeeding luminaries such as Edmund Landau and Adolf Abraham Halevi Fraenkel.

A Legacy of Teaching and Research

Fekete's dedication to education and research earned him numerous accolades, including the Israel Prize for exact sciences in 1955. His students, including Aryeh Dvoretzky and Michael Bahir Maschler, went on to achieve great success, perpetuating his legacy.

Lasting Impact and Contributions

Fekete's work on transfinite diameter, extremal polynomials, and related areas has had a profound and lasting impact on modern mathematics. His contributions include:

• Fekete's problem, a fundamental problem in approximation theory
• Fekete polynomial, a concept in polynomial approximation
• Fekete-Szeg inequality, a result in complex analysis
• Fekete's lemma, a tool in number theory
• Fekete constant, a mathematical constant

A Life of Devotion to Mathematics

Michael Fekete's life was a testament to his unwavering passion for mathematics. Through his research, teaching, and mentorship, he left an indelible mark on the world of mathematics, inspiring future generations to continue his legacy.