Burt Totaro
American mathematician
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Mathematics
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(Suggest an Edit or Addition)According to Wikipedia, Burt James Totaro, FRS , is an American mathematician, currently a professor at the University of California, Los Angeles, specializing in algebraic geometry and algebraic topology. Education and early life Totaro participated in the Study of Mathematically Precocious Youth while in grade school and enrolled at Princeton University at the age of thirteen, becoming the youngest freshman in its history. He scored a perfect 800 on the math portion and a 690 on the verbal portion of the SAT-I exam at the age of 12. He graduated in 1984 and went on to graduate school at the University of California, Berkeley, receiving his Ph.D. in 1989.
Burt Totaro's Published Works
Published Works
- HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY, I (Cambridge Studies in Advanced Mathematics 76) By C LAIRE V OISIN : 322 pp., £55.00 (US$80.00), ISBN 0-521-80260-1 (Cambridge University Press, 2002). (2003) (320)
- The Chow ring of a classifying space (1998) (307)
- Configuration spaces of algebraic varieties (1996) (185)
- Classical and Multilinear Harmonic Analysis (2011) (177)
- Milnor K-Theory is the Simplest Part of Algebraic K-Theory (1992) (144)
- The resolution property for schemes and stacks (2002) (134)
- Initial Ideals, Veronese Subrings, and Rates of Algebras (1993) (120)
- Hypersurfaces that are not stably rational (2015) (117)
- Torsion algebraic cycles and complex cobordism (1996) (104)
- Chern numbers for singular varieties and elliptic homology (2000) (84)
- HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II (Cambridge Studies in Advanced Mathematics 77) By CLAIRE VOISIN, translated by LEILA SCHNEPS: 351 pp., £60.00 (US$85.00), ISBN 0-521-80283-0 (Cambridge University Press, 2003) (2004) (74)
- CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES (2014) (73)
- Symmetric differentials and the fundamental group (2012) (57)
- Cheeger Manifolds and the Classification of Biquotients (2002) (56)
- The cone conjecture for Calabi-Yau pairs in dimension two (2009) (55)
- Line bundles with partially vanishing cohomology (2010) (53)
- The motive of a classifying space (2014) (51)
- The torsion index of the spin groups (2005) (49)
- PERIOD MAPPINGS AND PERIOD DOMAINS (Cambridge Studies in Advanced Mathematics 85) (2005) (45)
- Projective resolutions of representations of GL (n). (1997) (44)
- Group Cohomology and Algebraic Cycles (2014) (43)
- THE CURVATURE OF A HESSIAN METRIC (2004) (41)
- Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves (2008) (40)
- TENSOR PRODUCTS OF SEMISTABLES ARE SEMISTABLE (1994) (39)
- Tensor products in $p$-adic Hodge theory (1996) (36)
- Pseudo-abelian varieties (2011) (36)
- The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay (2017) (31)
- Topology of Singular Algebraic Varieties (2003) (29)
- NON-INJECTIVITY OF THE MAP FROM THE WITT GROUP OF A VARIETY TO THE WITT GROUP OF ITS FUNCTION FIELD (2003) (29)
- Curvature, diameter, and quotient manifolds (2002) (29)
- Jumping of the nef cone for Fano varieties (2009) (28)
- The topology of smooth divisors and the arithmetic of abelian varieties. (2000) (24)
- Birational geometry of quadrics in characteristic 2 (2006) (23)
- Moving codimension-one subvarieties over finite fields (2007) (23)
- ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD (2013) (23)
- Splitting fields for $E_{8}$-torsors (2004) (22)
- THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS (2015) (22)
- Complexifications of nonnegatively curved manifolds (2003) (20)
- Recent progress on the Tate conjecture (2017) (20)
- The automorphism group of an affine quadric (2006) (18)
- The torsion index of$E_8$ and other groups (2005) (18)
- Hodge theory of classifying stacks (2017) (17)
- Complex varieties with infinite Chow groups modulo 2 (2015) (16)
- BIRATIONAL GEOMETRY OF QUADRICS (2009) (14)
- Bott vanishing for algebraic surfaces (2018) (14)
- SPACE CURVES WITH NONZERO TORSION (1990) (13)
- Euler characteristics forp-adic Lie groups (1999) (13)
- Algebraic surfaces and hyperbolic geometry (2010) (12)
- Invariance and factorial models. Discussion (2000) (12)
- THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO (2019) (12)
- Towards a Schubert calculus for complex reflection groups (2003) (11)
- Varieties of general type with doubly exponential asymptotics (2021) (11)
- The elliptic genus of a singular variety (2007) (11)
- Rationality does not specialise among terminal varieties (2015) (10)
- Euler and algebraic geometry (2007) (9)
- Homology operations on a new infinite loop space (1995) (9)
- The Hilbert scheme of infinite affine space and algebraic K-theory (2020) (9)
- Cohomological Invariants in Positive Characteristic (2020) (7)
- ADJOINT FUNCTORS ON THE DERIVED CATEGORY OF MOTIVES (2015) (7)
- Essential dimension of the spin groups in characteristic 2 (2017) (7)
- Cohomology of Semidirect Product Groups (1996) (6)
- THE ACC CONJECTURE FOR LOG CANONICAL THRESHOLDS (2010) (6)
- The total Chern class is not a map of multiplicative cohomology theories (1993) (5)
- Klt Varieties of General Type with Small Volume (2021) (4)
- Hodge structures of type (n,0,...,0,n) (2014) (4)
- Bott vanishing for Fano 3-folds (2023) (3)
- The integral cohomology of the Hilbert scheme of points on a surface (2019) (3)
- A G ] 1 3 M ay 2 02 1 Varieties of general type with small volume (2021) (3)
- Calabi-Yau varieties of large index (2022) (3)
- Klt Varieties With Conjecturally Minimal Volume (2022) (2)
- Torus actions, Morse homology, and the Hilbert scheme of points on affine space (2020) (2)
- Optimal Sine and Sawtooth Inequalities (2021) (1)
- IV.6 Algebraic Topology (2010) (1)
- AFFINE VARIETIES AND STEIN MANIFOLDS (1991) (1)
- Topological Methods in Algebraic Geometry Lectures (2014) (1)
- Elementary Problems: E3397-E3402 (1990) (0)
- Group Cohomology and Algebraic Cycles: Cohomology mod Transfers is Cohen-Macaulay (2014) (0)
- Regularity of Group Cohomology (2014) (0)
- Commentary on “Arithmetic on curves” by Barry Mazur (2018) (0)
- Index to Volume 131 (2009) (0)
- Transferred Euler Classes (2014) (0)
- COM volume 148 issue 6 Cover and Back matter (2012) (0)
- UNIVERSITY OF CALIFORNIA Los Angeles On the Geometry and Topology of Hyperplane Complements Associated to Complex and Quaternionic Reflection Groups A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Mathematics by (2018) (0)
- Bas Edixhoven (2022) (0)
- Title On the Geometry and Topology of Hyperplane Complements Associated to Complex and Quaternionic Reflection Groups Permalink (2018) (0)
- Cambridge Studies in Advanced Mathematics 121 Representation Theory of the Symmetric Groups Cambridge Studies in Advanced Mathematics Representation Theory of the Symmetric Groups Central Projection Formulas 22 1.4 Permutation Representations 27 1.4.1 Wielandt's Lemma 27 1.4.2 Symmetric Actions and (2010) (0)
- The Chow Künneth Conjecture (2014) (0)
- MOVING CODIMENSION-ONE SUBVARIETIES OVER FINITE FIELDS By BURT TOTARO (2009) (0)
- Depth and Regularity (2014) (0)
- FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY (2019) (0)
- Divided powers in the Witt ring of quadratic forms (2022) (0)
- Generators for the Chow Ring (2014) (0)
- Open problem Recent Advances in Hodge Theory (2013) (0)
- COM volume 147 issue 6 Cover and Back matter (2011) (0)
- Regularity of the Chow Ring (2014) (0)
- VARIETIES OF GENERAL TYPE WITH MANY VANISHING PLURIGENERA, AND OPTIMAL SINE AND SAWTOOTH INEQUALITIES (2021) (0)
- COM volume 146 issue 6 Cover and Back matter (2010) (0)
- The integral Hodge conjecture for threefolds (2012) (0)
- Endomorphisms of varieties and Bott vanishing (2023) (0)
- 978-0-521-51918-2-Random Walk : A Modern Introduction (2010) (0)
- Detection Theorems for Cohomology and Chow Rings (2014) (0)
- Bounds for p-Groups (2014) (0)
- A ug 2 00 6 Birational geometry of quadrics in characteristic 2 (2006) (0)
- COM volume 145 issue 6 Cover and Back matter (2009) (0)
- CHOW COHOMOLOGY , AND LINEAR VARIETIES (2014) (0)
- Bounds for Group Cohomology and the Chow Ring Modulo Transfers (2014) (0)
- Groups of Order p4 (2014) (0)
- A letter from the Editors (2010) (0)
- Back Matter (2008) (0)
- Geometric and Topological Filtrations (2014) (0)
- The Eilenberg-Moore Spectral Sequence in Motivic Cohomology (2014) (0)
- The Structure of Group Cohomology and the Chow Ring (2014) (0)
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