Douglas Ulmer is an American mathematician who works in algebraic geometry and number theory. [1] He is a professor and mathematics department head at the University of Arizona. [2]
Ulmer did his undergraduate study at Princeton University. [3] In 1987, he received his PhD at Brown University, where his advisor was Benedict Hyman Gross; his thesis was titled The Arithmetic of Universal Elliptic Modular Curves. [4]
Ulmer was a C. L. E. Moore instructor at the Massachusetts Institute of Technology in 1987. [5] In 1997 he was among the founders of the Southwest Center for Arithmetic Geometry at the University of Arizona. [6] In 2009, he moved to the Georgia Institute of Technology, where he became Chair of the School of Mathematics. [7] He returned to the University of Arizona in 2017. [2]
Since 2014, he has served on the editorial board of the Journal de Théorie des Nombres de Bordeaux . [8] [3]
Ulmer was elected as a Fellow of the American Mathematical Society, in the 2025 class of fellows. [9]
André Weil was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is due both to his original contributions to a remarkably broad spectrum of mathematical theories, and to the mark he left on mathematical practice and style, through some of his own works as well as through the Bourbaki group, of which he was one of the principal founders.
Enrico Bombieri is an Italian mathematician, known for his work in analytic number theory, Diophantine geometry, complex analysis, and group theory. Bombieri is currently professor emeritus in the School of Mathematics at the Institute for Advanced Study in Princeton, New Jersey. Bombieri won the Fields Medal in 1974 for his work on the large sieve and its application to the distribution of prime numbers.
Adrien-Marie Legendre was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the Legendre polynomials and Legendre transformation are named after him. He is also known for his contributions to the method of least squares, and was the first to officially publish on it, though Carl Friedrich Gauss had discovered it before him.
Claude Chevalley was a French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory and the theory of algebraic groups. He was a founding member of the Bourbaki group.
Benjamin Olinde Rodrigues, more commonly known as Olinde Rodrigues, was a French banker, mathematician, and social reformer. In mathematics Rodrigues is remembered for Rodrigues' rotation formula for vectors, the Rodrigues formula for the Legendre polynomials, and the Euler–Rodrigues parameters.
Nicholas Michael Katz is an American mathematician, working in arithmetic geometry, particularly on p-adic methods, monodromy and moduli problems, and number theory. He is currently a professor of Mathematics at Princeton University and an editor of the journal Annals of Mathematics.
In mathematics, a prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. The even number 2p + 2 therefore satisfies Chen's theorem.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
Minhyong Kim (Korean: 김민형) is a South Korean mathematician who specialises in arithmetic geometry and anabelian geometry.
Christophe Soulé is a French mathematician working in arithmetic geometry.
Dinesh S. Thakur is an Indian mathematician and a professor of mathematics at University of Rochester. Before moving to Rochester, Thakur was a professor at University of Arizona. His main research interest is number theory.
Laura Grace DeMarco is a professor of mathematics at Harvard University, whose research concerns dynamical systems and complex analysis.
Wei Zhang is a Chinese mathematician specializing in number theory. He is currently a Professor of Mathematics at the Massachusetts Institute of Technology.
Wiesława Krystyna Nizioł is a Polish mathematician, director of research at CNRS, based at Institut mathématique de Jussieu. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.
The Journal de Théorie des Nombres de Bordeaux is a triannual peer-reviewed open-access scientific journal covering number theory and related topics. It was established in 1989 and is published by the Institut de Mathématiques de Bordeaux on behalf of the Société Arithmétique de Bordeaux. The editor-in-chief is Denis Benois.
Dan Abramovich is an Israeli-American mathematician working in the fields of algebraic geometry and arithmetic geometry. As of 2019, he holds the title of L. Herbert Ballou University Professor at Brown University, and he is an Elected Fellow of the American Mathematical Society.
Jennifer Shyamala Sayaka Balakrishnan is an American mathematician known for leading a team that solved the problem of the "cursed curve", a Diophantine equation that was known for being "famously difficult". More generally, Balakrishnan specializes in algorithmic number theory and arithmetic geometry. She is a Clare Boothe Luce Professor at Boston University.
Laurent Fargues is a French mathematician working in number theory and arithmetic geometry.
Xuhua He is a Chinese mathematician.
Sebastiaan Johan Edixhoven was a Dutch mathematician who worked in arithmetic geometry. He was a professor at University of Rennes 1 and Leiden University.