Information: - Heisuke Hironaka ( Hironaka Heisuke , born April 9 , 1931 ) is a Japanese mathematician . He entered Kyoto University in 1949 . After completing his undergraduate studies at Kyoto University , he received his Ph.D. in 1960 from Harvard while under the direction of Oscar Zariski . He was awarded the Fields Medal in 1970 . He is celebrated for proving in 1964 that singularities of algebraic varieties admit resolutions in characteristic zero . This means that any algebraic variety can be replaced by ( more precisely is birationally equivalent to ) a similar variety which has no singularities . He also introduced Hironaka 's example showing that a deformation of Kahler manifolds need not be Kahler . Hironaka was for many years a Professor of mathematics at Harvard University ( 1968 - 1992 ) but currently lives in Japan . He held teaching positions at Brandeis University ( 1960 - 1963 ) , Columbia University ( 1964 ) and Kyoto University ( 1975 - 1988 ) . He was a president of Yamaguchi University ( 1996 - 2002 ) . He has been active in raising funds for causes such as mathematical education . - Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. - Algebraic varieties are the central objects of study in algebraic geometry. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition. - Algebra (from Arabic ""al-jabr"" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Given the information above, choose from the list below the object entity that exhibits the relation 'field of work' with the subject 'heisuke hironaka'. Choices: - algebra - algebraic geometry - arabic - economics - geometry - mathematician - mathematics - medicine - number theory - science
algebraic geometry

Information: - Hurling is an outdoor team game of ancient Gaelic and Irish origin, administered by the Gaelic Athletic Association (GAA). The game has prehistoric origins, and has been played for 3,000 years. One of Ireland's native Gaelic games, it shares a number of features with Gaelic football, such as the field and goals, the number of players, and much terminology. There is a similar game for women called camogie ("camogaiocht"). It shares a common Gaelic root with the sport of shinty ("camanachd"), which is played predominantly in Scotland. - County Limerick is a county in Ireland. It is located in the province of Munster, and is also part of the Mid-West Region. It is named after the city of Limerick. Limerick City and County Council is the local council for the county. The county's population at the 2016 census is 195,175 of which 58,319 live in Limerick City, the county capital. - Richard "Richie" Bennis (born 1945) is an Irish retired hurler who played as a centre-forward for the Limerick senior team. - Limerick is a city in county Limerick, Ireland. It is located in the Mid-West Region and is also part of the province of Munster. Limerick City and County Council is the local authority for the city. The city lies on the River Shannon, with the historic core of the city located on King's Island, which is bounded by the Shannon and the Abbey River. Limerick is also located at the head of the Shannon Estuary where the river widens before it flows into the Atlantic Ocean. With a population of 95,854 (2011 census), Limerick is the third most populous urban area in the state, and the fourth most populous city on the island of Ireland. - Munster is one of the provinces of Ireland situated in the south of Ireland. In early Ireland, it was one of the "fifths" ruled by a "king of over-kings" . Following the Norman invasion of Ireland, the ancient kingdoms were shired into counties for administrative and judicial purposes. In later centuries, local government legislation has seen further sub-division of the historic counties. - Camogie (formerly spelled "camoguidheacht") is an Irish stick-and-ball team sport played by women; it is almost identical to the game of hurling played by men. Camogie is played by 100,000 women in Ireland and worldwide, largely among Irish communities. It is organised by the Dublin-based Camogie Association or An Cumann Camogaiochta. - Phil Bennis ( born 1942 in Patrickswell , County Limerick ) is a retired Irish hurling manager and former player . He played hurling with his local club Patrickswell and was a member of the Limerick senior inter-county team in the 1960s and 1970s . Bennis later served as manager of the team . He is brother of another former Limerick player and manager , Richie Bennis . - Shinty is a team game played with sticks and a ball. Shinty is now played mainly in the Scottish Highlands, and amongst Highland migrants to the big cities of Scotland, but it was formerly more widespread in Scotland, and was even played for a considerable time in England and other areas in the world where Scottish Highlanders migrated. Given the information above, choose from the list below the object entity that exhibits the relation 'occupation' with the subject 'phil bennis'. Choices: - game - hurler - king
hurler