The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. It is “the most prestigious” mathematical competition in the world. The first IMO was held in Romania in 1959. It has since been held annually, except in 1980. More than 100 countries participate. Each country sends a team of up to six students, plus one team leader, one deputy leader, and observers.
The American Mathematics Competitions (AMC) are the first of a series of competitions in secondary school mathematics that determine the United States of America's team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly five stages. At the last stage, the US selects six members to form the IMO team. The 1994 US IMO Team is the first of the only two teams ever to achieve a perfect score (all six members earned perfect marks), and is colloquially known as the "dream team".
The Mathematical Olympiad Program is an intensive summer program held at Carnegie Mellon University. The main purpose of MOP, held since 1974, is to select and train the six members of the U.S. team for the International Mathematical Olympiad (IMO).
Reid William Barton is a mathematician and also one of the most successful performers in the International Science Olympiads.
Gabriel Drew Carroll is a Professor of Economics at the University of Toronto. He was born to tech industry worker parents in Oakland. He graduated from Harvard University with B.A. in mathematics and linguistics in 2005 and received his doctorate in economics from MIT in 2012. He was recognized as a child prodigy and received numerous awards in mathematics while a student.
In algebraic geometry, a moduli space of (algebraic) curves is a geometric space whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on the restrictions applied to the classes of algebraic curves considered, the corresponding moduli problem and the moduli space is different. One also distinguishes between fine and coarse moduli spaces for the same moduli problem.
Joseph Daniel Harris is a mathematician at Harvard University working in the field of algebraic geometry. After earning an AB from Harvard College, where he took Math 55, he continued at Harvard to study for a PhD under Phillip Griffiths.
Vestal High School is a public high school that operates as part of the Vestal Central School District which encompasses 57 square miles (150 km2) just west of Binghamton in the Southern Tier of New York. It is a four-year comprehensive school which annually receives both national and state recognition for excellence in education. The high school offers Varsity and Junior Varsity sports as well as musical opportunities in orchestra, band, and chorus. Clubs and student organizations accommodate a wide range of interests, from the physical sciences to martial arts. The mascot of Vestal High School is the Golden Bear named Bruin. Vestal High School holds an annual dance named after the mascot called the King Bruin dance, or KB. Unlike most high schools, Vestal High School does not have a Homecoming dance, but instead a football game and later in the year the King Bruin dance.
Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is firmly involved in mathematics contests and olympiads, having been the Director of American Mathematics Competitions, Director of the Mathematical Olympiad Program, Head Coach of the United States International Mathematical Olympiad Team, and Chairman of the United States of America Mathematical Olympiad. He has also authored a large number of books on the topic of problem solving and olympiad-style mathematics.
Maryam Mirzakhani was an Iranian mathematician and a professor of mathematics at Stanford University. Her research topics included Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry. On 13 August 2014, Mirzakhani was honored with the Fields Medal, the most prestigious award in mathematics, becoming the first woman to win the prize, as well as the first Iranian. The award committee cited her work in "the dynamics and geometry of Riemann surfaces and their moduli spaces".
Rahul Pandharipande is a mathematician who is currently a professor of mathematics at the Swiss Federal Institute of Technology Zürich (ETH) working in algebraic geometry. His particular interests concern moduli spaces, enumerative invariants associated to moduli spaces, such as Gromov–Witten invariants and Donaldson–Thomas invariants, and the cohomology of the moduli space of curves. His father Vijay Raghunath Pandharipande was a renowned theoretical physicist who worked in the area of nuclear physics.
Jacob Alexander Lurie is an American mathematician who is a professor at the Institute for Advanced Study. Lurie is a 2014 MacArthur Fellow.
In mathematics, specifically algebraic geometry, Donaldson–Thomas theory is the theory of Donaldson–Thomas invariants. Given a compact moduli space of sheaves on a Calabi–Yau threefold, its Donaldson–Thomas invariant is the virtual number of its points, i.e., the integral of the cohomology class 1 against the virtual fundamental class. The Donaldson–Thomas invariant is a holomorphic analogue of the Casson invariant. The invariants were introduced by Simon Donaldson and Richard Thomas (1998). Donaldson–Thomas invariants have close connections to Gromov–Witten invariants of algebraic three-folds and the theory of stable pairs due to Rahul Pandharipande and Thomas.
Richard Paul Winsley Thomas is a British mathematician working in several areas of geometry. He is a professor at Imperial College London. He studies moduli problems in algebraic geometry, and ‘mirror symmetry’—a phenomenon in pure mathematics predicted by string theory in theoretical physics.
In algebraic geometry, the tautological ring is the subring of the Chow ring of the moduli space of curves generated by tautological classes. These are classes obtained from 1 by pushforward along various morphisms described below. The tautological cohomology ring is the image of the tautological ring under the cycle map.
Sheldon H. Katz is an American mathematician, specializing in algebraic geometry and its applications to string theory.
Jacob Tsimerman is a Canadian mathematician at the University of Toronto specialising in number theory and related areas. He was awarded the SASTRA Ramanujan Prize in the year 2015 in recognition for his work on the André–Oort conjecture and for his work in both analytic number theory and algebraic geometry.
Eleny-Nicoleta Ionel is a Romanian mathematician whose research concerns symplectic geometry, including the study of the Gromov–Witten invariants and Gopakumar–Vafa invariant. Among her most significant results are the construction of relative Gromov-Witten invariants of symplectic manifolds, and the proof of the vanishing in codimension at least g of the tautological ring of the moduli space of genus-g curves.
Zhuo Qun Song, also called Alex Song, is a Chinese-Canadian who is currently the most highly decorated International Mathematical Olympiad (IMO) contestant, with five gold medals and one bronze medal.
Andrew Harold Kresch is an American mathematician specializing in algebraic geometry and a professor at the University of Zurich.
