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Algebraic geometers

102 articles

George Kempf

George Kempf was an American algebraic geometer who earned his Ph.D. at Columbia in 1970, proved the instability and Kempf–Ness theorems, and completed Mumford's geometric invariant theory program.

George Salmon

George Salmon (1819–1904) was an Irish mathematician and Anglican theologian at Trinity College Dublin, Provost from 1888, known for proving a cubic surface contains exactly 27 lines.

Georges Fontené

Georges Fontené (1848–1923) was a French mathematician and Paris school inspector known for the Rouché-Fontené theorem on linear equations, and for work on hyperspace geometry and Poncelet's theorem.

Gerd Faltings

Gerd Faltings is a German mathematician at the Max Planck Institute for Mathematics in Bonn who proved the Mordell conjecture, won the Fields Medal in 1986, and received the 2026 Abel Prize.

Giacomo Albanese

Giacomo Albanese (1890–1947) was an Italian mathematician whose work on algebraic correspondences between surfaces led André Weil to name the Albanese variety after him; he held chairs at Catania, Palermo, Pisa, and São Paulo.

Gilbert Stengle

Gilbert Stengle (1933–2010) was an American mathematician at Lehigh University known for the 1974 Krivine–Stengle Positivstellensatz, a certificate for polynomial positivity that underlies sum-of-squares optimization.

Gino Fano

Gino Fano (1871–1952) was an Italian mathematician born in Mantua, regarded as the founder of finite geometry and known for the Fano plane and Fano varieties central to modern algebraic geometry.

Giovanni Giambelli

Giovanni Giambelli, also known as Giovanni Zeno Giambelli, was an Italian mathematician trained under Corrado Segre in Turin, remembered for the Giambelli determinantal formula in Schubert calculus.

Guido Castelnuovo

Guido Castelnuovo (1865–1952) was an Italian mathematician who, with Federigo Enriques, founded the Italian school's classification of algebraic surfaces, proved the rationality criterion for surfaces, and later led Italian science after fascism.

Heisuke Hironaka (広中平祐)

Heisuke Hironaka (広中平祐) was a Japanese mathematician, born in 1931, who solved resolution of singularities in algebraic geometry and received the Fields Medal in 1970, the second Japanese mathematician to win it.

Henry Seely White

Henry Seely White (1861–1943) was an American mathematician at Vassar College who worked in invariant theory and algebraic curves and served as president of the American Mathematical Society.

Herbert Clemens

Herbert Clemens (Charles Herbert Clemens, Jr.; born 1939) is an American mathematician in complex algebraic geometry and Hodge theory, known for proving the smooth cubic threefold irrational and for the Clemens conjecture.

Herbert William Richmond

Herbert William Richmond (1863–1948) was an English mathematician at King's College, Cambridge, known for his 1893 construction of the regular 17-sided polygon and the Cremona–Richmond configuration.

Hieronymus Georg Zeuthen

Hieronymus Georg Zeuthen (1839–1920) was a Danish mathematician who helped found enumerative geometry, the counting of geometric figures, and later became a leading historian of Greek mathematics.

Holly Krieger

Holly Krieger is an American mathematician, Professor at the University of Cambridge since 2022, known for arithmetic dynamics, work on the Mandelbrot set, and Numberphile videos.

Isaak Bacharach

Isaak Bacharach (1854–1942) was a German mathematician and secondary-school teacher in Erlangen and Nürnberg whose 1886 correction of Cayley's intersection theorem became known as the Cayley–Bacharach theorem.

J. A. Todd

J. A. Todd, full name John Arthur Todd (1908–1994), was an English mathematician at Cambridge known for the Todd genus, Todd class, and Todd–Coxeter algorithm.

Jacob Lüroth

Jacob Lüroth (1844–1910) was a German mathematician and professor at Freiburg known for Lüroth's theorem, the Lüroth quartic, and the Lüroth problem on unirational varieties.

James Baldwin Carrell

James Baldwin Carrell is a mathematician and professor emeritus at the University of British Columbia whose research centers on algebraic transformation groups, algebraic geometry, and Lie theory.

James McKernan

James McKernan, born in London in 1964, is a British algebraic geometer at UC San Diego known for proving the existence of flips in all dimensions.

János Kollár

János Kollár, born 1956 in Budapest, Hungary, is a Hungarian-American algebraic geometer and Donner Professor at Princeton University, known for the minimal model program, rationally connected varieties, and moduli theory.

Jean-Louis Verdier

Jean-Louis Verdier was a French mathematician and student of Alexander Grothendieck who introduced triangulated categories and Verdier duality, co-authored SGA 4, and led the Société Mathématique de France from 1984.

Jean-Pierre Serre

Jean-Pierre Serre, born in 1926, is a French mathematician who reshaped topology, algebraic geometry, and number theory, winning the 1954 Fields Medal and the first Abel Prize in 2003.

Joe Harris (mathematician)

Joe Harris, full name Joseph Daniel Harris, is an American algebraic geometer and Higgins Professor of Mathematics at Harvard, known for the Brill-Noether theorem and influential textbooks.

Jordan Ellenberg

Jordan Ellenberg is an American mathematician at the University of Wisconsin–Madison known for the 2016 cap-set bound and bestselling books like How Not to Be Wrong.

Jun-Ichi Igusa

Jun-Ichi Igusa (井口潤一) was a Japanese-American mathematician at Johns Hopkins University who founded the theory of local zeta functions and Siegel modular forms of genus two.

Kai Behrend

Kai Behrend is a mathematician at the University of British Columbia working on moduli spaces, known for the virtual fundamental class and the Behrend function.

Karen Ellen Smith

Karen Ellen Smith (born 1965) is an American mathematician, a University of Michigan professor known for applying characteristic p techniques to algebraic geometry, elected to the National Academy of Sciences in 2019.

Laura DeMarco

Laura DeMarco is a mathematician at Harvard University, a professor there since 2020, who works in dynamical systems and arithmetic dynamics and won the 2017 Satter Prize.

Linda Ness

Linda Ann Ness is an American mathematician who earned her Ph.D. at Harvard in 1975 under David Mumford and is known for the Kempf–Ness theorem.