Yuri Tschinkel
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German mathematician
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Algebraic Geometry
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Number Theory
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Mathematics
Yuri Tschinkel's Degrees
- PhD Mathematics University of Bonn
Why Is Yuri Tschinkel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Yuri Tschinkel is a Russian-German-American mathematician, specializing in algebraic geometry, automorphic forms and number theory. Education and career Tschinkel attended from 1979, the Erweiterte Oberschule Heinrich-Hertz-Gymnasium in East Berlin and passed there in 1983 the Abitur. He graduated with honors from Lomonosov Moscow State University in 1990 and received his doctorate in 1992 from the Massachusetts Institute of Technology with thesis Rational points on algebraic surfaces under the supervision of Yuri Manin and Michael Artin. From 1992 to 1995 Tschinkel was a junior fellow at Harvard University. In 1995 he became an assistant professor at the University of Illinois at Chicago and from 1999 to 2003 he was an associate professor there. From 2003 to 2008 he was a professor at the University of Göttingen. He has been a professor at the Courant Institute of Mathematical Sciences of New York University since 2005 and, since 2012, director of the Simons Foundation's Department of Mathematics and Physics.
Yuri Tschinkel's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Rational points of bounded height on Fano varieties (1989) (365)
- Cohomological and Geometric Approaches to Rationality Problems (2010) (176)
- Manin's conjecture for toric varieties (1995) (165)
- On the distribution of points of bounded height on equivariant compactifications of vector groups (2000) (117)
- Density of rational points on elliptic K3 surfaces (1999) (117)
- Tamagawa numbers of polarized algebraic varieties (1997) (113)
- Moving and Ample Cones of Holomorphic Symplectic Fourfolds (2007) (94)
- Rational points on some Fano cubic bundles (1996) (89)
- Geometry of equivariant compactifications of $G^n_a$ (1999) (89)
- Trends in Mathematics (2008) (88)
- Rational Points of Bounded Height on Compactifications of Anisotropic Tori (1994) (87)
- Arithmetic of Higher-Dimensional Algebraic Varieties (2012) (79)
- Rational points on quartics (1998) (77)
- Birational geometry, rational curves, and arithmetic (2013) (72)
- Rational curves on holomorphic symplectic fourfolds (1999) (69)
- Igusa integrals and volume asymptotics in analytic and adelic geometry (2009) (66)
- Algebra, arithmetic, and geometry : in honor of Yu. I. Manin (2009) (65)
- Stable rationality of quadric surface bundles over surfaces (2016) (64)
- Hodge theory and Lagrangian planes on generalized Kummer fourfolds (2010) (64)
- Stable rationality and conic bundles (2015) (62)
- Mori cones of holomorphic symplectic varieties of K3 type (2013) (61)
- On the density of rational points on elliptic fibrations (1998) (59)
- Specialization of birational types (2017) (58)
- Height zeta functions of toric varieties (1996) (55)
- Constructing rational curves on K3 surfaces (2009) (54)
- Rational Points on Compactifications of Semi-Simple Groups of Rank 1 (2006) (50)
- Weak approximation over function fields (2004) (50)
- Reconstruction of Function Fields (2003) (49)
- On stable rationality of Fano threefolds and del Pezzo fibrations (2016) (44)
- On the effective cone of the moduli space of pointed rational curves (2001) (43)
- Balanced line bundles and equivariant compactifications of homogeneous spaces (2013) (42)
- ABELIAN FIBRATIONS AND RATIONAL POINTS ON SYMMETRIC PRODUCTS (1999) (42)
- On the Arithmetic of Del Pezzo Surfaces of Degree 2 (2004) (41)
- Universal Torsors and Cox Rings (2003) (40)
- Commuting elements in Galois groups of function fields (2000) (37)
- Intersection Numbers of Extremal Rays on Holomorphic Symplectic Varieties (2009) (37)
- Rational curves and points on K3 surfaces (2003) (36)
- UNIVERSAL TORSORS OVER DEL PEZZO SURFACES AND RATIONAL POINTS (2006) (36)
- A very general quartic double fourfold is not stably rational (2016) (35)
- Density of Integral Points on Algebraic Varieties (2000) (35)
- Tamagawa numbers of diagonal cubic surfaces, numerical evidence (1998) (35)
- Integral points of bounded height on partial equivariant compactifications of vector groups (2009) (34)
- Algebraic varieties with many rational points (2008) (33)
- Balanced line bundles on Fano varieties (2014) (30)
- Cubic fourfolds fibered in sextic del Pezzo surfaces (2016) (30)
- Height zeta functions of toric bundles over flag varieties (1997) (30)
- Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces (2008) (29)
- Effectivity of Brauer–Manin obstructions☆ (2006) (29)
- Geometric methods in algebra and number theory (2005) (27)
- Algebra, Geometry, and Physics in the 21st Century (2017) (26)
- Rational points on K3 surfaces and derived equivalence (2014) (25)
- Density of rational points on Enriques surfaces (1998) (25)
- Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces (2010) (24)
- Reconstruction of higher-dimensional function fields (2009) (23)
- Effective computation of Picard groups and Brauer-Manin obstructions of degree two $$K3$$ surfaces over number fields (2012) (23)
- Models of Brauer-Severi surface bundles (2017) (22)
- Integral points of bounded height on toric varieties (2010) (21)
- Height zeta functions of equivariant compactifications of the Heisenberg group (2002) (20)
- Potential density of rational points for K3 surfaces over function fields (2006) (20)
- Introduction to birational anabelian geometry (2010) (20)
- Points of bounded height on Del Pezzo surfaces (1993) (20)
- Extremal rays and automorphisms of holomorphic symplectic varieties (2015) (19)
- Two examples of Brauer–Manin obstruction to integral points (2008) (19)
- Height Zeta Functions of Equivariant Compactifications of Unipotent Groups (2015) (19)
- Effectivity of Brauer–Manin obstructions on surfaces (2010) (19)
- Variation of Néron–Severi Ranks of Reductions of K3 Surfaces (2014) (18)
- Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups (2011) (18)
- Equivariant birational geometry and modular symbols (2019) (18)
- Geometry of Equivariant Compactifications of (double-struck G)an (1999) (18)
- Equivariant birational types and Burnside volume (2020) (18)
- Tamagawa Numbers of Diagonal Cubic Surfaces of Higher Rank (2000) (17)
- Mathematisches Institut Georg-August-Universität Göttingen Seminars Winter Term 2004/2005 (2005) (17)
- On the moduli of degree 4 Del Pezzo surfaces (2013) (17)
- A Torelli Theorem for Curves over Finite Fields (2008) (17)
- Weak approximation for hypersurfaces of low degree (2009) (16)
- Fujita’s Program and Rational Points (2003) (16)
- Algebraic varieties over small fields (2007) (16)
- Unramified correspondences (2002) (16)
- Well-posedness of KdV on H−1(T) (2004) (16)
- Symbols and Equivariant Birational Geometry in Small Dimensions (2020) (15)
- Torsion of Elliptic Curves and Unlikely Intersections (2017) (15)
- Intersections of three quadrics in P (2017) (14)
- Galois Theory and Projective Geometry (2011) (14)
- Rational points on algebraic varieties (2001) (14)
- Analytic number theory : a tribute to Gauss and Dirichlet (2007) (13)
- Unramified cohomology of finite groups of Lie type (2008) (12)
- Points of Bounded Height on Equivariant Compactifications of Vector Groups, I (1999) (12)
- Eisenstein series and applications (2008) (12)
- Integral points of bounded height on compactifications of semi-simple groups (2011) (12)
- Log Fano varieties over function fields of curves (2007) (11)
- Height zeta functions of twisted products (1997) (11)
- Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties (2015) (11)
- Rationality of complete intersections of two quadrics over nonclosed fields (2021) (11)
- MILNOR K2 AND FIELD HOMOMORPHISMS (2009) (11)
- Spaces of sections of quadric surface fibrations over curves (2011) (11)
- Multiple mixing for adele groups and rational points (2011) (11)
- Algebra, Arithmetic, and Geometry (2009) (11)
- Cycle Class Maps and Birational Invariants (2019) (11)
- Intersections of three quadrics in $\mathbb{P}^7$ (2017) (10)
- Equivariant Burnside groups and representation theory (2021) (10)
- Special elliptic fibrations (2003) (10)
- Approximation at places of bad reduction (2006) (9)
- Cohomological and geometric approaches to rationality problems: New perspectives (2010) (9)
- Monodromy of Elliptic Surfaces (2000) (9)
- Integral Points on Punctured Abelian Surfaces (2002) (9)
- Couniformization of curves over number fields (2005) (9)
- Lagrangian subvarieties of Abelian fourfolds (2000) (9)
- About the cover: On the distribution of primes—Gauss’ tables (2005) (8)
- Higher-Dimensional Geometry over Finite Fields (2008) (8)
- Stable rationality in smooth families of threefolds (2018) (8)
- Integral points and effective cones of moduli spaces of stable maps (2003) (7)
- On curve correspondences (2002) (7)
- Curves in abelian varieties over finite fields (2004) (7)
- Equivariant Burnside groups: structure and operations (2021) (7)
- Rationality of complete intersections of two quadrics (2019) (7)
- Universal spaces for unramified Galois cohomology (2014) (6)
- Birational types of algebraic orbifolds (2019) (6)
- Rationality of Moduli of Elliptic Fibrations with Fixed Monodromy (2002) (6)
- Rational points and automorphic forms (2004) (6)
- Co-fibered products of algebraic curves (2009) (5)
- Quartic del Pezzo surfaces over function fields of curves (2013) (5)
- The Felix Klein protocols (2007) (5)
- Equivariant geometry of odd-dimensional complete intersections of two quadrics (2021) (5)
- Involution surface bundles over surfaces (2018) (5)
- Erratum: Rational points of bounded height on Fano varieties. Invent. Math. 95, 421-435 (1989). (1990) (4)
- Rational points on toric varieties (1995) (4)
- LECTURES ON HEIGHT ZETA FUNCTIONS OF TORIC VARIETIES (2002) (4)
- Varieties of planes on intersections of three quadrics (2019) (4)
- Potentially Stably Rational Del Pezzo Surfaces over Nonclosed Fields (2018) (4)
- Stable rationality of Brauer–Severi surface bundles (2017) (4)
- Geometry over nonclosed fields (2017) (4)
- Rationality of Fano Threefolds of Degree 18 over Non-closed Fields (2019) (4)
- N T ] 1 1 Fe b 20 06 RATIONAL POINTS ON COMPACTIFICATIONS OF SEMISIMPLE GROUPS (2018) (4)
- Finite heights and rational points on surfaces (1993) (4)
- Equivariant Burnside groups and toric varieties (2021) (3)
- Simple Examples of Symplectic Four-manifolds with Exotic Properties (2003) (3)
- Noether's problem and descent (2017) (3)
- Homomorphisms of multiplicative groups of fields preserving algebraic dependence (2017) (3)
- TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY (2022) (3)
- Embedding pointed curves in K3 surfaces (2013) (2)
- Involutions on K3 surfaces and derived equivalence (2023) (2)
- Arithmetic properties of equivariant birational types (2020) (2)
- Burnside groups and orbifold invariants of birational maps (2022) (2)
- Vladimir Voevodsky – Work and Destiny (2017) (2)
- ON CURVE CORRESPONDENCES (Communications in Arithmetic Fundamental Groups) (2002) (2)
- Mathematisches Institut Georg-August-Universität GöttingenSeminars 2003/2004 (2004) (2)
- VOLUME ANDL 2 -BETTI NUMBERS OF ASPHERICAL MANIFOLDS (2008) (2)
- Cohomology of finite subgroups of the plane Cremona group (2022) (2)
- Multiple mixing for adele groups and rational points (2015) (1)
- NONARCHIMEDEAN KÄHLER GEOMETRY (2009) (1)
- Equivariant birational geometry of linear actions (2023) (1)
- Monodromy and rational curves on holomorphic symplectic varieties (2009) (1)
- Equivariant derived equivalence and rational points on K3 surfaces (2022) (1)
- Combinatorial Burnside groups (2021) (1)
- Brauer groups of involution surface bundles (2018) (1)
- Models of Triple Covers (2019) (1)
- Dynamical Mordell�Lang and automorphisms of blow-ups (2019) (1)
- On a theorem of Tate (2008) (1)
- Brauer-Manin obstructions to integral points (2007) (1)
- Distribution of rational points on equivariant compactifications of inner forms of reductive groups (2001) (1)
- A ug 2 00 3 UNIVERSAL TORSORS AND COX RINGS (2004) (0)
- Effective computation of Picard groups and Brauer-Manin obstructions of degree two \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begi (2013) (0)
- Unrami ed cohomology of nite groups of Lie type (2009) (0)
- Seminars winter term 2004/2005 (2005) (0)
- On rational points (1993) (0)
- Ju n 20 00 Lagrangian subvarieties of abelian fourfolds (2008) (0)
- A Torelli theorem for curves over nite elds (2009) (0)
- About the cover: Invariants (2007) (0)
- Das Courant-Forschungszentrum "Higher order structures in mathematics" (2008) (0)
- Stable rationality of Brauer–Severi surface bundles (2018) (0)
- On the moduli space of degree 4 Del Pezzo surfaces (2013) (0)
- CUBIC FOURFOLDS FIBERED IN DEL PEZZO SURFACES OF DEGREE SIX (2016) (0)
- Homomorphisms of multiplicative groups of fields preserving algebraic dependence (2019) (0)
- What are the analogs of universal spaces for varieties over k = Q̄ ? (2015) (0)
- An Exciting Year on Analysis in Number Theory (2007) (0)
- As a consequence we obtain the equivariant specialization of birationality ( Corollary 6 . 8 ) : If X → (2020) (0)
- Height zeta functions (1997) (0)
- Life and Main Research Areas of Martin Kneser (2021) (0)
- Resolution of singularities: Review of a book by H. Hauser et al. (2001) (0)
- STRENGTHENING MATHEMATICS IN THE DEVELOPING WORLD (2019) (0)
- Martin Kneser’s Work on Quadratic Forms and Algebraic Groups (2021) (0)
- Rational points of bounded height on Fano varieties (1990) (0)
- Involution surface bundles over surfaces (2020) (0)
- Rationality of even-dimensional intersections of two real quadrics (2021) (0)
- “Aufgabe 360: The Kneser Conjecture” (2021) (0)
- Simple examples of symplectic fourfolds with exotic properties (2002) (0)
- Rationality and specialization (2018) (0)
- Arithmetic of K 3 Surfaces (2009) (0)
- Generalised Chatelet varieties (Russian) (1989) (0)
- Seminars summer term 2004 (2004) (0)
- Algebraic Groups: Mathematisches Institut, Georg-August-Universität Göttingen, Summer School, 27.6.-13.7.2005 (2007) (0)
- Burnside rings and volume forms with logarithmic poles (2023) (0)
- Problems and Solutions (2021) (0)
- Specialization of birational types (2019) (0)
- Rational points and heights (Russian) (1988) (0)
- Reply to Sabbagh (2008) (0)
- Equivariant birational geometry of cubic fourfolds and derived categories (2023) (0)
- Mathematisches Institut Georg-August-Universität GöttingenSeminars Summer Term 2004 (2004) (0)
- Stable rationality and conic bundles (2015) (0)
- 2 Generalities on symmetric products (2002) (0)
- Fibrations in sextic del Pezzo surfaces with mild singularities (2019) (0)
- Trends in mathematics: Mathematisches Institut, Georg-August-Universität, Göttingen, Courant-Colloquium, October 2007 (2008) (0)
- Embedding pointed curves in K3 surfaces (2014) (0)
- Ph.D. thesis: Arithmetic of algebraic surfaces (1992) (0)
- Preface to Bogomolov special issue (2008) (0)
- Seminars 2003/2004, Mathematisches Institut, Georg-August-Universität Göttingen (2004) (0)
- Rationality and specialization (2018) (0)
- BRAUER-MANIN OBSTRUCTIONS OF DEGREE TWO K 3 SURFACES OVER NUMBER FIELDS (2012) (0)
- Review of Kneser’s Work on Algebraic Groups and the Hasse Principle and Subsequent Developments (2021) (0)
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