Mathematical Ancestry of Tenured and Tenure-Track Faculty

The following ancestry of our faculty was constructed with information from The Mathematics Genealogy Project. The PhD year for each person is in parentheses after the name.

Dan M. Barbasch (1976)

unknown

Yuri Berest (1997)

— Pavel Winternitz (?) — unknown

Louis Billera (1968)

\— Moses Richardson (1937) — Paul Smith (1926) — Solomon Lefschetz (1911)*

\— Michel Balinski (1959) — Albert Tucker (1932) — Solomon Lefschetz (1911)*

* Solomon Lefschetz (1911) — William Edward Story (1875) — Carl Neumann (1856) — [ Friedrich Richelot (1831) & Otto Hesse (1840) ] — Karl Jacobi (1825) — Enno Dirksen (1820)

\— Johann Meyer d. J. (1773) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Friedrich Thibaut (1796) — unknown

Kenneth S. Brown (1971)

— Daniel Quillen (1964) — Raoul Bott (1949) — Richard Duffin (1935)

\— Harold Mott-Smith (1933) — Robert Carmichael (1911) — George Birkhoff (1907)*

\— David Bourgin (1926)

\— Edwin Kemble (1917) — unknown

\— George Birkhoff (1907)*

* George Birkhoff (1907) — E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Stephen U. Chase (1960)

— Irving Kaplansky (1941) — Saunders Mac Lane (1934)

\— Hermann Weyl (1908) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799)**

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

\— I. Paul Bernays (1912) — Edmund Landau (1899)

\— Georg Frobenius (1870)

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)**

\— Ernst Kummer (1831)*

\— Lazarus Fuchs (1858)

\— Ernst Kummer (1831)*

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

* Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)**

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)***

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)***

** Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)***

*** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Robert Connelly (1970)

— James Kister (1959) — R. H. Bing (1945) — R. L. Moore (1905)

\— Oswald Veblen (1903) — E. H. Moore (1885)*

\— E. H. Moore (1885)*

* E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

R. Keith Dennis (1970)

— Stephen Gersten (1964) — John Stallings, Jr. (1959) — Ralph Fox (1939) — Solomon Lefschetz (1911) — William Edward Story (1875) — Carl Neumann (1856) — [ Friedrich Richelot (1831) & Otto Hesse (1840) ] — Karl Jacobi (1825) — Enno Dirksen (1820)

\— Johann Meyer d. J. (1773) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Friedrich Thibaut (1796) — unknown

Richard Durrett (1976)

unknown

Eugene B. Dynkin (1948)

— Andrei Kolmogorov (1925) — Nikolai Luzin (1915) — Dimitri Egorov (1901) — Nicolai Bugaev (1866)

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)*

\— Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)*

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

* Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Clifford J. Earle (1962)

— Lars Ahlfors (1932) — Ernst Lindelöf (1893) — unknown

Leonard Gross (1958)

— Irving Segal (1940) — C. Einar Hille (1918) — Marcel Riesz (1912) — Leopold Fejér (1902) — Hermann Schwarz (1864)

\— Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)*

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)*

* Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

John M. Guckenheimer (1970)

— Stephen Smale (1957) — Raoul Bott (1949) — Richard Duffin (1935)

\— Harold Mott-Smith (1933) — Robert Carmichael (1911) — George Birkhoff (1907)*

\— David Bourgin (1926)

\— Edwin Kemble (1917) — unknown

\— George Birkhoff (1907)*

* George Birkhoff (1907) — E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Allen Hatcher (1971)

— Hans Samelson (1941) — Heinz Hopf (1925)

\— Erhard Schmidt (1905) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)*

\— Ludwig Bieberbach (1910) — C. Felix Klein (1868)*

* C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

David W. Henderson (1964)

— R. H. Bing (1945) — R. L. Moore (1905)

\— Oswald Veblen (1903) — E. H. Moore (1885)*

\— E. H. Moore (1885)*

* E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

John H. Hubbard (1977)

— Adrien Douady (?) — Henri Cartan (1928) — unknown

J. T. Gene Hwang (1979)

— James Berger (1974) — Lawrence Brown (1964) — Jack Kiefer (1952) — Jacob Wolfowitz (1942) — Donald Flanders (1927) — John Kline (1916) — R. L. Moore (1905)

\— Oswald Veblen (1903) — E. H. Moore (1885)*

\— E. H. Moore (1885)*

* E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Yulij Ilyashenko (1967)

— Evgenii Landis (1953)

\— Aleksandr Kronrod (?) — unknown

\— Ivan Petrovskii (?) — unknown

Peter J. Kahn (1964)

— John Milnor (1954) — Ralph Fox (1939) — Solomon Lefschetz (1911) — William Edward Story (1875) — Carl Neumann (1856) — [ Friedrich Richelot (1831) & Otto Hesse (1840) ] — Karl Jacobi (1825) — Enno Dirksen (1820)

\— Johann Meyer d. J. (1773) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Friedrich Thibaut (1796) — unknown

Gregory F. Lawler (1979)

— Edward Nelson (1955)— Irving Segal (1940) — C. Einar Hille (1918) — Marcel Riesz (1912) — Leopold Fejér (1902) — Hermann Schwarz (1864)

\— Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)*

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)*

* Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Camil Muscalu (2000)

— Jill Pipher (1985) — John Garnett (1966) — Irving Glicksberg (1951) — Richard Arens (1945) — Garrett Birkhoff (?) — Ralph Fowler (1915) — Archibald Hill (1909) — Walter Fletcher (1904) — unknown

Anil Nerode (1956)

Saunders Mac Lane (1934)

\— Hermann Weyl (1908) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799)**

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

\— I. Paul Bernays (1912) — Edmund Landau (1899)

\— Georg Frobenius (1870)

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)**

\— Ernst Kummer (1831)*

\— Lazarus Fuchs (1858)

\— Ernst Kummer (1831)*

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

* Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)**

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)***

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)***

** Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)***

*** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Michael Nussbaum (1979)

— Baudemer (?) — unknown

Irena Peeva (1995)

— David Eisenbud (1969)

\— J. C. Robson (?) — Alfred Goldie (?) — unknown

\— Saunders Mac Lane (1934)

\— Hermann Weyl (1908) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799)**

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

\— I. Paul Bernays (1912) — Edmund Landau (1899)

\— Georg Frobenius (1870)

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)**

\— Ernst Kummer (1831)*

\— Lazarus Fuchs (1858)

\— Ernst Kummer (1831)*

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

* Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)**

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)***

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)***

** Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)***

*** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Ravi Ramakrishna (1992)

— Andrew Wiles (1979) — John Coates (1969) — Alan Baker (1964) — Harold Davenport (1938) — John Littlewood (1907) — Ernest Barnes (1907) — Walter Ball (?) — unknown

Laurent Saloff-Coste (1983)

unknown

Alfred H. Schatz (1964)

— Fritz John (1934) — Richard Courant (1910) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown


Shankar Sen (1967)

— John Tate, Jr. (1950) — Emil Artin (1921)

\— Gustav Herglotz (1900)

\— Hugo von Seeliger (1872) — unknown

\— Ludwig Boltzmann (1866) — Josef Stefan (?) — unknown

\— Otto Hölder (1882) — Paul Du Bois-Reymond (1859) — Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Richard A. Shore (1972)

— Gerald Sacks (1961) — John Rosser (1934) — Alonzo Church (1927) — Oswald Veblen (1903) — E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Reyer Sjamaar (1990)

— Johannes Duistermaat (?) — unknown

John Smillie (1977)

— Richard Lashof (1954) — Richard Kadison (1950) — Marshall Stone (1926) — George Birkhoff (1907) — E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Birgit E. Speh (1977)

— Bertram Kostant (1954) — Irving Segal (1940) — C. Einar Hille (1918) — Marcel Riesz (1912) — Leopold Fejér (1902) — Hermann Schwarz (1864)

\— Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)*

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)*

* Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

Michael E. Stillman (1983)

— David Mumford (1961) — Oscar Zariski (1925) — Guido Castelnuovo (1886) — Giuseppe Veronese (1877) — Luigi Cremona (1853) — Francesco Brioschi (1845) — Antonio Bordoni (1807) — Vincenzo Brunacci (?) — unknown

Robert S. Strichartz (1966)

— Elias Stein (1955) — Antoni Zygmund (1923)

\— Aleksander Rajchman (1921) — Hugo Steinhaus (1911) — David Hilbert (1885) — C. L. Ferdinand Lindemann (1873) — C. Felix Klein (1868)

\— Julius Plücker (1823) — Christian Gerling (1812) — Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Rudolf Lipschitz (1853)

\— Gustav Dirichlet (1827) — [ Simeon Poisson (?) & Jean-Baptiste Fourier (?) ] — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

\— Martin Ohm (1811) — Karl von Langsdorf (1781) — unknown

\— Stefan Mazurkiewicz (1913) — Waclaw Sierpinski (1906)

\— Stanislaw Zaremba (1889)

\— Gaston Darboux (1866) — unknown

\— C. Émile Picard (1877) — unknown

\— Georgy Voronoy (1897) — Andrei Markov (1884) — Pafnuty Chebyshev (1849) — Nikolai Brashman (1834) — J. J. Von Littrov (?) — unknown

Edward Swartz (1999)

unknown

William Thurston (1972)

— Morris Hirsch (1958)

\— Edwin Spanier (1947) — Norman Steenrod (1936) — Solomon Lefschetz (1911) — William Edward Story (1875) — Carl Neumann (1856) — [ Friedrich Richelot (1831) & Otto Hesse (1840) ] — Karl Jacobi (1825) — Enno Dirksen (1820)

\— Johann Meyer d. J. (1773) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Friedrich Thibaut (1796) — unknown

\— Stephen Smale (1957) — Raoul Bott (1949) — Richard Duffin (1935)

\— Harold Mott-Smith (1933) — Robert Carmichael (1911) — George Birkhoff (1907)*

\— David Bourgin (1926)

\— Edwin Kemble (1917) — unknown

\— George Birkhoff (1907)*

* George Birkhoff (1907) — E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown

Karen Vogtmann (1977)

— John Wagoner (1966) — William Browder (1958) — John Moore (1952) — George Whitehead, Jr. (1941) — Norman Steenrod (1936) — Solomon Lefschetz (1911) — William Edward Story (1875) — Carl Neumann (1856) — [ Friedrich Richelot (1831) & Otto Hesse (1840) ] — Karl Jacobi (1825) — Enno Dirksen (1820)

\— Johann Meyer d. J. (1773) — Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

\— Friedrich Thibaut (1796) — unknown

Lars B. Wahlbin (1971)

— Vidar Thomee (1959) — Lars Hörmander (1955) — Marcel Riesz (1912) — Leopold Fejér (1902) — Hermann Schwarz (1864)

\— Ernst Kummer (1831) — Heinrich Scherk (1823)

\— Friedrich Bessel (1810) — Carl Gauss (1799)*

\— Heinrich Brandes (1800)

\— Abraham Kaestner (1739)**

\— Georg Lichtenberg (1765) — Abraham Kaestner (1739)**

\— Karl Weierstrass (1854) — Christoph Gudermann (1841) Carl Gauss (1799)*

* Carl Gauss (1799) — Johann Pfaff (1786) — Abraham Kaestner (1739)**

** Abraham Kaestner (1739) — Christian Hausen (1713) — Johann Wichmannshausen (1685) — Otto Mencken (?) — unknown

James E. West (1968)

— Richard Anderson (1948) — R. L. Moore (1905)

\— Oswald Veblen (1903) — E. H. Moore (1885)*

\— E. H. Moore (1885)*

* E. H. Moore (1885) — H. A. Newton (1850) — Michel Chasles (1814) — Simeon Poisson (?) — Joseph Lagrange (?) — Leonhard Euler (1726) — Johann Bernoulli (1694) — Jacob Bernoulli (?) — Gottfried Leibniz (1666) — unknown