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Complex analysts

46 articles

Louis de Branges de Bourcia

Louis de Branges de Bourcia (born 1932) is an American mathematician at Purdue University who proved the Bieberbach conjecture in 1984 and pursues the Riemann hypothesis.

Lucjan Böttcher

Lucjan Böttcher (Lucjan Emil Böttcher) was a Polish mathematician, born in Warsaw in 1872, who pioneered complex dynamics and gave his name to Böttcher's theorem and coordinate.

Ludwig Bieberbach

Ludwig Bieberbach (1886–1982) was a German mathematician, a student of Klein and Hilbert, whose 1916 conjecture shaped complex analysis and who became the leading ideologue of Nazi-era "German mathematics."

Nikolai Makarov

Nikolai Makarov is a Russian mathematician, the Richard Merkin Professor of Mathematics at Caltech, known for his 1985 theorem that harmonic measure on simply connected planar domains has Hausdorff dimension 1.

Otto Forster

Otto Forster, born 1937 in Munich, is a German mathematician and emeritus professor at LMU Munich known for Riemann surfaces, algorithmic number theory, and his Analysis textbook series.

Paul Montel

Paul Montel (1876–1975) was a French mathematician whose theory of normal families of analytic functions became a working tool of complex analysis and a foundation for Fatou and Julia's iteration theory.

Pierre Cousin

Pierre Auguste Cousin (1867–1933) was a French mathematician whose 1895 theorem on functions of several complex variables gave his name to the Cousin problems, still standard in the field.

Pierre Fatou

Pierre Fatou (1878–1929) was a French mathematician and astronomer who spent his career at the Paris Observatory and founded the iteration theory of rational maps, now called complex dynamics.

Pierre Lelong

Pierre Lelong (1912–2011) was a French mathematician who introduced plurisubharmonic functions, the Lelong number, and closed positive currents, giving several complex variables much of its foundational language.

Ralph P. Boas, Jr.

Ralph P. Boas, Jr. (1912–1992) was an American mathematician at Northwestern University who wrote the standard monograph on entire functions and led the Mathematical Association of America.

Reinhold Remmert

Reinhold Remmert (1930–2016) was a German mathematician who helped found the modern theory of several complex variables, proved the proper mapping theorem, and wrote the Grauert–Remmert monographs on Stein spaces.

Rolf Nevanlinna

Rolf Nevanlinna (1895–1980) was a Finnish mathematician whose 1925 theory of meromorphic functions made him the central figure of value distribution theory, and the namesake of the IMU's Nevanlinna Prize.

Stefan Bergman

Stefan Bergman (1895–1977) was a Polish-born mathematician who created the kernel-function method in complex analysis; dismissed from Berlin in 1933, he joined Stanford University in 1952.

Walter Hayman

Walter Kurt Hayman (1926–2020) was a British mathematician and leading complex analyst, known for the asymptotic Bieberbach conjecture, Hayman's Alternative, and the first pure mathematics chair at Imperial College London.

Wilhelm Wirtinger

Wilhelm Wirtinger (1865–1945) was an Austrian mathematician, professor at Innsbruck and then Vienna from 1903 to 1935, known for Wirtinger derivatives and the Wirtinger presentation of knot groups.

Wolfgang Heinrich Johannes Fuchs

Wolfgang Heinrich Johannes Fuchs (1915–1997) was a German-born mathematician who spent his career at Cornell University, known for Nevanlinna value-distribution theory and the Erdős–Fuchs theorem in additive number theory.