Arthur Ogus
#46,758
Most Influential Person Now
American mathematician
Arthur Ogus's AcademicInfluence.com Rankings
Arthur Ogusmathematics Degrees
Mathematics
#2691
World Rank
#4106
Historical Rank
#1049
USA Rank
Measure Theory
#3430
World Rank
#4048
Historical Rank
#990
USA Rank
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Mathematics
Arthur Ogus's Degrees
- PhD Mathematics Princeton University
Why Is Arthur Ogus Influential?
(Suggest an Edit or Addition)According to Wikipedia, Arthur Edward Ogus is an American mathematician. His research is in algebraic geometry; he has served as chair of the mathematics department at the University of California, Berkeley. Ogus did his undergraduate studies at Reed College, graduating in 1968, and earned his doctorate in 1972 from Harvard University under the supervision of Robin Hartshorne. His doctoral students at Berkeley include Kai Behrend.
Arthur Ogus's Published Works
Published Works
- Hodge Cycles, Motives, and Shimura Varieties (1989) (1011)
- Gersten's conjecture and the homology of schemes (1974) (541)
- Notes on Crystalline Cohomology. (1978) (232)
- Local cohomological dimension of algebraic varieties (1973) (143)
- F-isocrystals and de Rham cohomology. I (1983) (139)
- Nonabelian Hodge theory in characteristic p (2005) (134)
- Lectures on Logarithmic Algebraic Geometry (2018) (123)
- Tate's conjecture for K3 surfaces of finite height (1985) (110)
- $F$-isocrystals and de Rham cohomology II—Convergent isocrystals (1984) (106)
- A Crystalline Torelli Theorem for Supersingular K3 Surfaces (1983) (100)
- F-crystals, Griffiths transversality, and the Hodge decomposition (1994) (65)
- Hodge Cycles and Crystalline Cohomology (1982) (64)
- Supersingular K3 crystals (2019) (61)
- The Convergent Topos in Characteristic p (1990) (44)
- Singularities of the Height Strata in the Moduli of K3 Surfaces (2001) (37)
- Relative rounding in toric and logarithmic geometry (2010) (33)
- On the Logarithmic Riemann-Hilbert Correspondence (2003) (32)
- Association of polymorphisms in APOE, p53, and p21 with primary open-angle glaucoma in Turkish patients (2009) (30)
- Griffiths transversality in crystalline cohomology (1978) (29)
- Canonical liftings of jacobians (1986) (29)
- $F$-crystals on schemes with constant log structure (1995) (24)
- A p -adic analogue of the Chowla-Selberg formula (1990) (24)
- On the Formal Neighborhood of a Subvariety of Projective Space (1975) (22)
- Nakayama’s lemma for half-exact functors (1972) (22)
- Vitamin C induced oxidation of eye lens gamma crystallins. (1998) (19)
- Notes on Crystalline Cohomology. (MN-21) (2015) (16)
- Higgs cohomology, p-curvature, and the Cartier isomorphism (2004) (15)
- The formal Hodge filtration (1976) (15)
- Frobenius and the Hodge Spectral Sequence (2001) (9)
- Notations and Conventions (1982) (8)
- On the Hasse locus of a Calabi-Yau family (2001) (7)
- Cohomology of the infinitesimal site (1975) (7)
- Elliptic Crystals and Modular Motives (2001) (6)
- Monodromy and log geometry (2018) (4)
- Hodge Cohomology of Invertible Sheaves (2007) (2)
- Nonabelian Hodge theory in characteristic p . Cross ratios, surface groups, PSL(n,R) and diffeomorphisms of the circle (2007) (2)
- The saturated de Rham-Witt complex for schemes with toroidal singularities (2020) (1)
- Betti and de Rham Cohomology (2018) (0)
- Remarks on F-spans (2021) (0)
- Advances in Mathematics Elliptic Crystals and Modular Motives (2001) (0)
- Galois theory and the normal basis theorem (2010) (0)
- Erratum: Notations and Conventions (1982) (0)
- 3. Divided Powers (2015) (0)
- Erratum: Hodge Cycles and Crystalline Cohomology (1982) (0)
- The eigenvalues of matrices which commute with their derivative (2013) (0)
- Crystalline prisms: Reflections on the present and past (2022) (0)
- Property: Jesse Dukeminier and James E. Krier, Boston and Toronto: Little Brown, 1981. xxviii + 1457 pp (1984) (0)
- 4. Calculus with Divided Powers (2015) (0)
- Lectures on Logarithmic Algebraic Geometry—Errata (2019) (0)
- 7 . The Cohomology of a Crystal (2015) (0)
- Appendix A. The Construction of ΓA(M) (2015) (0)
- Musings on microlocal analysis in characteristic p (2006) (0)
- Appendix B. Finiteness of ℝlim (2015) (0)
- 5. The Crystalline Topos (2015) (0)
- 8. Frobenius and the Hodge Filtration (2015) (0)
- Zariski’s theorem on several linear systems (1973) (0)
- 2. Calculus and Differential Operators (2015) (0)
- Relative Rounding (2009) (0)
- Erratum: General Introduction (1982) (0)
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What Schools Are Affiliated With Arthur Ogus?
Arthur Ogus is affiliated with the following schools: