Yuri Tschinkel (Юрий Чинкель, born 31 May 1964 in

Moscow Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents with ...

) is a Russian-German-American mathematician, specializing in

algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...

automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G o ...

s and

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

Education and career

Tschinkel attended from 1979, the Erweiterte Oberschule Heinrich-Hertz-Gymnasium in

East Berlin East Berlin (; ) was the partially recognised capital city, capital of East Germany (GDR) from 1949 to 1990. From 1945, it was the Allied occupation zones in Germany, Soviet occupation sector of Berlin. The American, British, and French se ...

and passed there in 1983 the

Abitur ''Abitur'' (), often shortened colloquially to ''Abi'', is a qualification granted at the end of secondary education in Germany. It is conferred on students who pass their final exams at the end of ISCED 3, usually after twelve or thirteen year ...

. He graduated with honors from

Lomonosov Moscow State University Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, and six branches. Al ...

in 1990 and received his doctorate in 1992 from the

Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

with thesis '' Rational points on algebraic surfaces'' under the supervision of

Yuri Manin Yuri Ivanovich Manin (; 16 February 1937 – 7 January 2023) was a Russian mathematician, known for work in algebraic geometry and diophantine geometry, and many expository works ranging from mathematical logic to theoretical physics. Life an ...

and

Michael Artin Michael Artin (; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department, known for his contributions to algebraic geometry.

. From 1992 to 1995 Tschinkel was a junior fellow at

Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

. In 1995 he became an assistant professor at the

University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois, United States. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the Universi ...

(UIC) and from 1999 to 2003 he was an associate professor there. From 2003 to 2008 he was a professor at the

University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...

. He has been a professor at the

Courant Institute of Mathematical Sciences The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU). Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute ...

New York University New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...

since 2005 and, since 2012, director of the

Simons Foundation The Simons Foundation is an American private foundation established in 1994 by Marilyn and James Harris Simons, Jim Simons with offices in New York City. As one of the largest charitable organizations in the United States with assets of over $5 ...

's Department of Mathematics and Physics. He has been a visiting scholar at the

École Polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...

, the

Institut des hautes études scientifiques An institute is an organizational body created for a certain purpose. They are often research organisations (research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes ca ...

, the

Max Planck Institute for Mathematics The Max Planck Institute for Mathematics (, MPIM) is a research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association o ...

in Bonn, the

Isaac Newton Institute The Isaac Newton Institute for Mathematical Sciences is an international research institute for mathematics and its applications at the University of Cambridge. It is named after one of the university's most illustrious figures, the mathematician ...

at the

University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...

Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

(1999 to 2003), Kyoto's

Research Institute for Mathematical Sciences The is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. RIMS was founded in April 1963. List of directors * Masuo Fukuhara (1963.5.1 – 1969.3.31) * Kōsaku Yosida (1969 ...

, and the

University of Tokyo The University of Tokyo (, abbreviated as in Japanese and UTokyo in English) is a public research university in Bunkyō, Tokyo, Japan. Founded in 1877 as the nation's first modern university by the merger of several pre-westernisation era ins ...

. Tschinkel does research on rational points on algebraic varieties and other questions of

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

. He is the author or co-author of over 110 research publications. He has been a co-editor of several anthologies and conference reports on arithmetic geometry, ''e.g.'', co-editor with William Duke of the Gauß–Dirichlet conference in Göttingen in 2005 and also co-editor with Yuri Zarhin of the Festschrift for his teacher Yuri Manin. In 1995–1996 Tschinkel was a Leibniz Fellow of the

European Union The European Union (EU) is a supranational union, supranational political union, political and economic union of Member state of the European Union, member states that are Geography of the European Union, located primarily in Europe. The u ...

at the

École normale supérieure École or Ecole may refer to: * an elementary school in the French educational stages normally followed by Secondary education in France, secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing i ...

Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...

, and in 2001–2002 he was

Clay Mathematics Institute The Clay Mathematics Institute (CMI) is a private, non-profit foundation dedicated to increasing and disseminating mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address is now in Denver, Colorado. CMI's sc ...

Fellow. In 2006, he was an Invited Speaker with talk ''Geometry over nonclosed fields'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

Madrid Madrid ( ; ) is the capital and List of largest cities in Spain, most populous municipality of Spain. It has almost 3.5 million inhabitants and a Madrid metropolitan area, metropolitan area population of approximately 7 million. It i ...

. Tschinkel has German and American citizenships. He was elected a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2012. In 2018 he was elected a member of the

German Academy of Sciences Leopoldina The German National Academy of Sciences Leopoldina (), in short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded on 1 January 1652, based on academic models in Italy, it was originally named the ''Academi ...

Selected publications

* as editor with Emmanuel Peyre: "Rational points on algebraic varieties", Birkhäuser 2001 * as editor with

Bjorn Poonen Bjorn Mikhail Poonen (born July 27, 1968, in Boston, Massachusetts) is a mathematician, four-time Putnam Competition winner, and a Distinguished Professor in Science in the Department of Mathematics at the Massachusetts Institute of Technology. ...

: '' Arithmetic of higher dimensional algebraic varieties '', Birkhäuser 2004 * as editor with Fedor Bogomolov: "Geometric methods in algebra and number theory", Birkhäuser 2005 * as editor with Fedor Bogomolov: "Cohomological and geometric approaches to rationality problems: new perspectives", Birkhäuser 2009 * as editor with William Duke: '' Analytic Number Theory – a tribute to Gauss and Dirichlet '', American Mathematical Society 2007 * as editor with Yuri Zarhin: '' Algebra, Arithmetic and Geometry – In Honor of Yuri Manin '', Birkhäuser 2010 * as editor with Wee-Teck Gan and

Stephen Kudla Stephen S. Kudla (born 1950 Caracas, Venezuela) is an American mathematician working in arithmetic geometry and automorphic forms. He is a professor in the Department of Mathematics at the University of Toronto. Life After receiving his docto ...

: "Eisenstein Series and Applications", Birkhäuser 2008

External links

* (link to online publications, including books edited) * (link to online publications, including books edited) * *

References

{{DEFAULTSORT:Tschinkel, Yuri 1964 births Living people Mathematicians from Moscow Moscow State University alumni Massachusetts Institute of Technology School of Science alumni Harvard Fellows University of Illinois Chicago faculty Academic staff of the University of Göttingen Courant Institute of Mathematical Sciences faculty Algebraic geometers Number theorists Fellows of the American Mathematical Society 20th-century American mathematicians 21st-century American mathematicians Members of the German National Academy of Sciences Leopoldina