Yuanning Zhang

de Rham–Witt reading list

A reading list on de Rham–Witt cohomology, F-gauges, and related topics in p-adic geometry.

1950s
200 / 200

1957

  1. P. Cartier, Une nouvelle opération sur les formes différentielles, C. R. Acad. Sci. Paris 244. [PDF]

1958

  1. J.-P. Serre, Sur la topologie des variétés algébriques en caractéristique p, Symposium Internacional de Topología Algebraica, 24–53.

1963

  1. Yu. I. Manin, The Theory of Commutative Formal Groups over Fields of Finite Characteristic, Russian Math. Surveys 18, no. 6, 1–83. [journal]

1968

  1. A. Grothendieck, Crystals and the de Rham Cohomology of Schemes, Dix exposés sur la cohomologie des schémas, 306–358. [PDF]

1969

  1. T. Oda, The First de Rham Cohomology Group and Dieudonné Modules, Ann. Sci. Éc. Norm. Supér. (4) 2, 63–135. [Numdam]

1970

  1. N. M. Katz, Nilpotent Connections and the Monodromy Theorem: Applications of a Result of Turrittin, Publ. Math. IHÉS 39, 175–232. [Numdam]

  2. J. Tate and F. Oort, Group Schemes of Prime Order, Ann. Sci. Éc. Norm. Supér. (4) 3, 1–21. [Numdam]

1971

  1. L. Illusie, Complexe cotangent et déformations I, Lecture Notes in Math. 239, Springer. [DOI]

1972

  1. M. Demazure, Lectures on p-Divisible Groups, Lecture Notes in Math. 302, Springer. [DOI]

  2. L. Illusie, Complexe cotangent et déformations II, Lecture Notes in Math. 283, Springer. [bibliography]

  3. B. Mazur, Frobenius and the Hodge Filtration, Bull. Amer. Math. Soc. 78, 653–667. [DOI]

  4. W. Messing, The Crystals Associated to Barsotti–Tate Groups: With Applications to Abelian Schemes, Lecture Notes in Math. 264, Springer. [DOI]

1973

  1. B. Mazur, Frobenius and the Hodge Filtration (Estimates), Ann. of Math. (2) 98, 58–95. [journal]

1974

  1. M. Artin, Supersingular K3 Surfaces, Ann. Sci. Éc. Norm. Supér. (4) 7, 543–567. [Numdam]

  2. P. Berthelot, Cohomologie cristalline des schémas de caractéristique p > 0, Lecture Notes in Math. 407, Springer. [DOI]

  3. N. M. Katz and W. Messing, Some Consequences of the Riemann Hypothesis for Varieties over Finite Fields, Invent. Math. 23, 73–77. [PDF]

  4. B. Mazur and W. Messing, Universal Extensions and One Dimensional Crystalline Cohomology, Lecture Notes in Math. 370, Springer. [DOI]

  5. M. Raynaud, Schémas en groupes de type (p, …, p), Bull. Soc. Math. France 102, 241–280. [PDF]

1976

  1. M. Artin and J. S. Milne, Duality in the Flat Cohomology of Curves, Invent. Math. 35, 111–129. [PDF]

  2. L. Illusie, Cohomologie cristalline (d’après P. Berthelot), Séminaire Bourbaki 1974/75, Exp. 456; Lecture Notes in Math. 514, 53–60. [Numdam]

  3. J. S. Milne, Duality in the Flat Cohomology of a Surface, Ann. Sci. Éc. Norm. Supér. (4) 9, 171–201. [Numdam]

1977

  1. M. Artin and B. Mazur, Formal Groups Arising from Algebraic Varieties, Ann. Sci. Éc. Norm. Supér. (4) 10, 87–131. [Numdam]

  2. S. Bloch, Algebraic K-Theory and Crystalline Cohomology, Publ. Math. IHÉS 47, 187–268. [Numdam]

  3. J.-M. Fontaine, Groupes p-divisibles sur les corps locaux, Astérisque 47–48. [Numdam]

1978

  1. P. Berthelot and A. Ogus, Notes on Crystalline Cohomology, Mathematical Notes 21, Princeton University Press. [PDF]

1979

  1. L. Breen, Rapport sur la théorie de Dieudonné, Astérisque 63, 39–66. [Numdam]

  2. L. Illusie, Complexe de de Rham–Witt, Astérisque 63, 83–112. [Numdam]

  3. L. Illusie, Complexe de de Rham–Witt et cohomologie cristalline, Ann. Sci. Éc. Norm. Supér. (4) 12, 501–661. [Numdam] [errata]

  4. N. M. Katz, Slope Filtration of F-Crystals, Astérisque 63, 113–163. [Numdam]

  5. N. O. Nygaard, Closedness of Regular 1-Forms on Algebraic Surfaces, Ann. Sci. Éc. Norm. Supér. (4) 12, 33–45. [Numdam]

  6. A. Ogus, Supersingular K3 Crystals, Astérisque 64, 3–86. [Numdam]

  7. M. Raynaud, p-Torsion du schéma de Picard, Astérisque 64, 87–148. [Numdam]

1980

  1. N. O. Nygaard, Higher de Rham–Witt Complexes of Supersingular K3 Surfaces, Compositio Math. 42, 245–271. [Numdam]

1981

  1. P. Deligne, with L. Illusie, Cristaux ordinaires et coordonnées canoniques, Lecture Notes in Math. 868, 80–137. [PDF]

  2. N. O. Nygaard, Slopes of Powers of Frobenius on Crystalline Cohomology, Ann. Sci. Éc. Norm. Supér. (4) 14, 369–401. [DOI]

1982

  1. P. Berthelot, L. Breen, and W. Messing, Théorie de Dieudonné cristalline II, Lecture Notes in Math. 930, Springer. [DOI]

  2. J.-M. Fontaine and G. Laffaille, Construction de représentations p-adiques, Ann. Sci. Éc. Norm. Supér. (4) 15, 547–608. [Numdam]

1983

  1. P. Berthelot and A. Ogus, F-Isocrystals and de Rham Cohomology I, Invent. Math. 72, 159–199. [DOI]

  2. L. Illusie and M. Raynaud, Les suites spectrales associées au complexe de de Rham–Witt, Publ. Math. IHÉS 57, 73–212. [Numdam]

  3. L. Illusie, Finiteness, Duality, and Künneth Theorems in the Cohomology of the de Rham–Witt Complex, Lecture Notes in Math. 1016, 20–72. [DOI]

  4. A. Ogus, A Crystalline Torelli Theorem for Supersingular K3 Surfaces, Arithmetic and Geometry II, Progr. Math. 36, 361–394. [DOI]

1984

  1. T. Ekedahl, On the Multiplicative Properties of the de Rham–Witt Complex. I, Ark. Mat. 22, 185–239. [DOI]

  2. A. Ogus, F-Isocrystals and de Rham Cohomology II: Convergent Isocrystals, Duke Math. J. 51, 765–850. [DOI]

  3. T. Zink, Cartier Theory of Commutative Formal Groups, Teubner-Texte zur Mathematik 68. [English translation]

1985

  1. R. Crew, On Torsion in the Slope Spectral Sequence, Compositio Math. 56, 79–86. [Numdam]

  2. T. Ekedahl, On the Multiplicative Properties of the de Rham–Witt Complex. II, Ark. Mat. 23, 53–102. [DOI]

  3. M. Gros, Classes de Chern et classes de cycles en cohomologie de Hodge–Witt logarithmique, Mém. Soc. Math. France (N.S.) 21, 1–87. [DOI]

  4. N. Nygaard and A. Ogus, Tate’s Conjecture for K3 Surfaces of Finite Height, Ann. of Math. (2) 122, 461–507. [journal]

1986

  1. P. Berthelot, Géométrie rigide et cohomologie des variétés algébriques de caractéristique p, Mém. Soc. Math. France (N.S.) 23, 7–32. [Numdam]

  2. S. Bloch and K. Kato, p-Adic Étale Cohomology, Publ. Math. IHÉS 63, 107–152. [Numdam]

  3. T. Ekedahl, Diagonal Complexes and F-Gauge Structures, Travaux en Cours 18, Hermann, 120 pp.. [record]

  4. J. S. Milne, Values of Zeta Functions of Varieties over Finite Fields, Amer. J. Math. 108, 297–360. [PDF] [addendum]

1987

  1. P. Deligne and L. Illusie, Relèvements modulo p² et décomposition du complexe de de Rham, Invent. Math. 89, 247–270. [PDF]

  2. J.-M. Fontaine and W. Messing, p-adic Periods and p-adic Étale Cohomology, Contemp. Math. 67, 179–207. [author bibliography]

1988

  1. J.-Y. Étesse, Complexe de de Rham–Witt à coefficients dans un cristal, Compositio Math. 66, 57–120. [Numdam]

  2. M. Gros and N. Suwa, La conjecture de Gersten pour les faisceaux de Hodge–Witt logarithmique, Duke Math. J. 57, 615–628. [DOI]

1989

  1. K. Kato, Logarithmic Structures of Fontaine–Illusie, Algebraic Analysis, Geometry, and Number Theory, 191–224. [PDF]

1990

  1. L. Illusie, Ordinarité des intersections complètes générales, The Grothendieck Festschrift II, Progr. Math. 87, 376–405.

1991

  1. O. Hyodo, On the de Rham–Witt Complex Attached to a Semi-Stable Family, Compositio Math. 78, 241–260. [Numdam]

1992

  1. K. Kato and W. Messing, Syntomic Cohomology and p-Adic Étale Cohomology, Tohoku Math. J. (2) 44, 1–9. [journal]

1993

  1. A. Mokrane, La suite spectrale des poids en cohomologie de Hyodo–Kato, Duke Math. J. 72, 301–337. [DOI]

1994

  1. O. Hyodo and K. Kato, Semi-Stable Reduction and Crystalline Cohomology with Logarithmic Poles, Astérisque 223, 221–268. [Numdam]

  2. L. Illusie, Réduction semi-stable ordinaire, cohomologie étale p-adique et cohomologie de de Rham, Astérisque 223, 209–220. [Numdam]

  3. A. Ogus, F-Crystals, Griffiths Transversality, and the Hodge Decomposition, Astérisque 221. [PDF]

1995

  1. A. J. de Jong, Crystalline Dieudonné Module Theory via Formal and Rigid Geometry, Publ. Math. IHÉS 82, 5–96. [Numdam]

1996

  1. L. Hesselholt, On the p-Typical Curves in Quillen’s K-Theory, Acta Math. 177, 1–53. [DOI]

1997

  1. L. Hesselholt and I. Madsen, On the K-Theory of Finite Algebras over Witt Vectors of Perfect Fields, Topology 36, 29–101. [PDF]

1998

  1. C. Breuil, Construction de représentations p-adiques semi-stables, Ann. Sci. Éc. Norm. Supér. (4) 31, 281–327. [Numdam]

1999

  1. T. Geisser and L. Hesselholt, Topological Cyclic Homology of Schemes, Proc. Sympos. Pure Math. 67, 41–87. [author page]

2000

  1. C. Breuil, Groupes p-divisibles, groupes finis et modules filtrés, Ann. of Math. (2) 152, 489–549. [journal]

2001

  1. A. Ogus, Frobenius and the Hodge Spectral Sequence, Adv. Math. 162. [DOI] [PDF]

2002

  1. T. Zink, The Display of a Formal p-Divisible Group, Astérisque 278, 127–248. [PDF]

2003

  1. L. Hesselholt and I. Madsen, On the K-Theory of Local Fields, Ann. of Math. (2) 158, 1–113. [DOI]

2004

  1. S. Bloch, Crystals and de Rham–Witt Connections, J. Inst. Math. Jussieu 3, 315–326. [DOI]

  2. L. Hesselholt and I. Madsen, On the de Rham–Witt Complex in Mixed Characteristic, Ann. Sci. Éc. Norm. Supér. (4) 37, 1–43. [DOI]

  3. K. Joshi, A p-Adic Proof of Hodge Symmetry for Threefolds, C. R. Acad. Sci. Paris, Ser. I 338, 781–786. [DOI] [arXiv]

  4. A. Langer and T. Zink, De Rham–Witt Cohomology for a Proper and Smooth Morphism, J. Inst. Math. Jussieu 3, 231–314. [PDF]

  5. B. Moonen and T. Wedhorn, Discrete Invariants of Varieties in Positive Characteristic, Int. Math. Res. Not. 2004, 3855–3903. [arXiv] [errata]

2005

  1. L. Hesselholt, The Absolute and Relative de Rham–Witt Complexes, Compositio Math. 141, 1109–1127. [DOI]

  2. A. Langer and T. Zink, Gauss–Manin Connection via Witt-Differentials, Nagoya Math. J. 179, 1–16. [DOI]

  3. J. S. Milne and N. Ramachandran, The de Rham–Witt and Zₚ-Cohomologies of an Algebraic Variety, Adv. Math. 198, 36–42. [arXiv]

  4. N. Ramachandran, Values of Zeta Functions at s = 1/2, Int. Math. Res. Not. 2005, 1519–1541. [arXiv]

  5. T. Wedhorn, Specialization of F-Zips, arXiv:math/0507175. [arXiv]

2006

  1. T. Geisser and L. Hesselholt, The de Rham–Witt Complex and p-Adic Vanishing Cycles, J. Amer. Math. Soc. 19, 1–36. [DOI]

  2. M. Kisin, Crystalline Representations and F-Crystals, Algebraic Geometry and Number Theory, Progr. Math. 253, 459–496. [book]

2007

  1. P. Berthelot, S. Bloch, and H. Esnault, On Witt Vector Cohomology for Singular Varieties, Compositio Math. 143, 363–392. [DOI]

  2. A. Langer and T. Zink, De Rham–Witt Cohomology and Displays, Doc. Math. 12, 147–191. [journal]

2008

  1. E. Lau, Displays and Formal p-Divisible Groups, Invent. Math. 171, 617–628. [author page]

2009

  1. L. Illusie, Review of de Rham–Witt Theory, Loen lecture notes, 77 pp.. [PDF]

  2. F. Schnellinger, Rigid Gauges and F-Zips, and the Fundamental Sheaf of Gauges G_n, Ph.D. thesis, Universität Regensburg. [thesis]

2010

  1. J. Borger, The Basic Geometry of Witt Vectors, II: Spaces, arXiv:1006.0092. [arXiv]

  2. L. Fargues, La filtration de Harder–Narasimhan des schémas en groupes finis et plats, J. Reine Angew. Math. 645. [PDF]

2011

  1. A. Beilinson, p-Adic Periods and Derived de Rham Cohomology, arXiv:1102.1294. [arXiv]

  2. B. Bhatt and A. J. de Jong, Crystalline Cohomology and de Rham Cohomology, arXiv:1110.5001. [arXiv]

  3. J. Borger, The Basic Geometry of Witt Vectors, I: The Affine Case, Algebra & Number Theory 5, 231–285. [arXiv]

  4. C. Davis, A. Langer, and T. Zink, Overconvergent de Rham–Witt Cohomology, Ann. Sci. Éc. Norm. Supér. (4) 44, 197–262. [DOI]

  5. L. Illusie, De Rham–Witt Complexes and p-Adic Hodge Theory, Sapporo seminar pre-notes. [notes] [log / Hyodo–Kato]

  6. R. Pink, T. Wedhorn, and P. Ziegler, Algebraic Zip Data, Doc. Math. 16. [arXiv]

2012

  1. B. Bhatt, p-Adic Derived de Rham Cohomology, arXiv:1204.6560. [arXiv]

  2. A. Chatzistamatiou, Big de Rham–Witt Cohomology: Basic Results, arXiv:1211.6006. [arXiv]

2014

  1. E. Lau, Relations between Dieudonné Displays and Crystalline Dieudonné Theory, Algebra & Number Theory 8, 2201–2262. [DOI]

  2. J. Rabinoff, The Theory of Witt Vectors, arXiv:1409.7445. [arXiv]

2015

  1. J. Cuntz and C. Deninger, Witt Vector Rings and the Relative de Rham Witt Complex, arXiv:1410.5249; revised 2015. [arXiv]

  2. L. Hesselholt, The Big de Rham–Witt Complex, Acta Math. 214, 135–207. [arXiv]

  3. H. Matsuue, On Relative and Overconvergent de Rham–Witt Cohomology for Log Schemes, arXiv:1502.02854. [arXiv]

  4. J. S. Milne and N. Ramachandran, The p-Cohomology of Algebraic Varieties and Special Values of Zeta Functions, J. Inst. Math. Jussieu 14, 801–835. [arXiv]

  5. R. Pink, T. Wedhorn, and P. Ziegler, F-Zips with Additional Structure, Pacific J. Math. 274, 183–236. [arXiv] [DOI]

2016

  1. J. Nekovář and W. Nizioł, Syntomic Cohomology and Regulators for Varieties over p-Adic Fields, Algebra & Number Theory 10, 1695–1790. [arXiv]

2017

  1. K. Česnavičius and T. Koshikawa, The A_inf-Cohomology in the Semistable Case, arXiv:1710.06145. [arXiv]

2018

  1. B. Bhatt, M. Morrow, and P. Scholze, Integral p-Adic Hodge Theory, Publ. Math. IHÉS 128, 219–397. [arXiv]

  2. V. Drinfeld, A Stacky Approach to Crystals, arXiv:1810.11853. [arXiv]

  3. L. Hesselholt, Topological Hochschild Homology and the Hasse–Weil Zeta Function, Contemp. Math. 708, 157–180. [arXiv]

  4. K. Hirayama and A. Shiho, On Comparison between Relative Log de Rham–Witt Cohomology and Relative Log Crystalline Cohomology, arXiv:1803.09245. [arXiv]

  5. T. Nikolaus and P. Scholze, On Topological Cyclic Homology, Acta Math. 221, 203–409. [DOI]

  6. Z. Yao, Logarithmic de Rham–Witt Complexes via the Décalage Operator, arXiv:1808.09120. [arXiv]

2019

  1. B. Bhatt, M. Morrow, and P. Scholze, Topological Hochschild Homology and Integral p-Adic Hodge Theory, Publ. Math. IHÉS 129, 199–310. [arXiv]

  2. B. Bhatt and P. Scholze, Prisms and Prismatic Cohomology, arXiv:1905.08229. [arXiv]

  3. L. Illusie, p-Adic Cohomologies: History, and New Developments, Landau lecture slides. [PDF]

2020

  1. L. Illusie, Partial Degeneration of Hodge to de Rham Spectral Sequences and Kodaira Type Vanishing Theorems for Locally Complete Intersections in Positive Characteristic, preprint. [PDF]

  2. K. Joshi, Crystalline Aspects of Geography of Low Dimensional Varieties I: Numerology, European J. Math. 6, 1111–1175. [DOI] [arXiv]

  3. S. Molokov, Prismatic Cohomology and de Rham–Witt Forms, arXiv:2008.04956v3; to appear in Sbornik: Mathematics. [arXiv]

2021

  1. B. Antieau and T. Nikolaus, Cartier Modules and Cyclotomic Spectra, J. Amer. Math. Soc. 34, 1–78. [DOI]

  2. B. Bhatt, J. Lurie, and A. Mathew, Revisiting the de Rham–Witt Complex, Astérisque 424, viii+158 pp.. [arXiv]

  3. B. Bhatt and P. Scholze, Prismatic F-Crystals and Crystalline Galois Representations, arXiv:2106.14735. [arXiv]

  4. V. Drinfeld, On a Notion of Ring Groupoid, arXiv:2104.07090. [arXiv]

  5. V. Drinfeld, A 1-Dimensional Formal Group over the Prismatization of Spf Zₚ, arXiv:2107.11466. [arXiv]

  6. J.-M. Fontaine and U. Jannsen, Frobenius Gauges and a New Theory of p-Torsion Sheaves in Characteristic p, Doc. Math. 26, 65–101. [arXiv] [journal]

  7. L. Illusie, A New Approach to de Rham–Witt Complexes, after Bhatt, Lurie, and Mathew, Rend. Sem. Mat. Univ. Padova 146, 177–221. [PDF]

  8. S. Mondal, Dieudonné Theory via Cohomology of Classifying Stacks, Forum Math. Sigma 9, e81. [arXiv]

  9. A. Ogus, The Saturated de Rham–Witt Complex for Schemes with Toroidal Singularities, author manuscript, revised June 18, 2021, 60 pp.. [PDF]

2022

  1. B. Antieau and D. Bragg, Derived Invariants from Topological Hochschild Homology, Algebraic Geometry 9, 364–399. [arXiv]

  2. B. Bhatt and J. Lurie, Absolute Prismatic Cohomology, preprint, 242 pp.. [arXiv]

  3. B. Bhatt and J. Lurie, The Prismatization of p-Adic Formal Schemes, preliminary version. [arXiv]

  4. L. Illusie, New Perspectives on de Rham Cohomology, after Bhatt–Lurie, Drinfeld, et al., lecture slides. [PDF]

  5. L. Illusie, New Advances on de Rham Cohomology in Positive or Mixed Characteristic, after Bhatt–Lurie, Drinfeld, and Petrov, lecture slides. [PDF]

  6. L. Illusie, Lectures on the de Rham Complex, Daniel Kan Lectures. [PDF]

  7. A. Mathew, Some Recent Advances in Topological Hochschild Homology, Bull. Lond. Math. Soc. 54, 1–44. [arXiv]

  8. S. Mondal, Gₐᵖᵉʳᶠ-Modules and de Rham Cohomology, Adv. Math. 409, 108691. [arXiv]

  9. S. Mondal, Reconstruction of the Stacky Approach to de Rham Cohomology, Math. Z. 302, 687–693. [arXiv]

  10. S. Mondal, A Computation of Prismatic Dieudonné Module, Acta Arith. 205, 87–96. [PDF]

  11. Y. Nakkajima, Artin–Mazur Heights and Yobuko Heights of Proper Log Smooth Schemes of Cartier Type, and Hodge–Witt Decompositions and Chow Groups of Quasi-F-Split Threefolds, J. Reine Angew. Math. 787, 1–44. [arXiv]

  12. A. Ogus, Crystalline Prisms: Reflections and Diffractions, Present and Past, arXiv:2204.06621v4; revised 2026. [arXiv]

2023

  1. J. Anschütz and A.-C. Le Bras, Prismatic Dieudonné Theory, Forum Math. Pi 11, e2. [arXiv]

  2. B. Antieau, A. Krause, and T. Nikolaus, Prismatic Cohomology Relative to δ-Rings, arXiv:2310.12770; to appear in Ann. Sci. Éc. Norm. Supér.. [arXiv]

  3. B. Antieau, Spherical Witt Vectors and Integral Models for Spaces, arXiv:2308.07288. [arXiv]

  4. B. Bhatt, Prismatic F-Gauges, Princeton Math 549 lecture notes. [course] [PDF]

  5. B. Bhatt, Crystals and Chern Classes, arXiv:2310.00676. [arXiv]

  6. V. Drinfeld, On Shimurian Generalizations of the Stack BT₁ ⊗ Fₚ, arXiv:2304.11709. [arXiv]

  7. V. Drinfeld, On the Lau Group Scheme, arXiv:2307.06194. [arXiv]

  8. V. Drinfeld, Toward Shimurian Analogs of Barsotti–Tate Groups, arXiv:2309.02346. [arXiv]

  9. A. Ogus, Remarks on F-Spans, Bull. Polish Acad. Sci. Math. 71, 123–133. [DOI] [PDF]

  10. A. Petrov, Non-Decomposability of the de Rham Complex and Non-Semisimplicity of the Sen Operator, arXiv:2302.11389. [arXiv]

  11. F. Yobuko, Quasi-F-Split and Hodge–Witt, arXiv:2312.00682v1. [arXiv]

2024

  1. F. Andriopoulos, TR and the r-Nygaard Filtered Prismatic Cohomology, arXiv:2412.00914v2. [arXiv]

  2. F. Andriopoulos, TR with Logarithmic Poles and the de Rham–Witt Complex, arXiv:2412.00929v1. [arXiv]

  3. B. Antieau, A. Krause, and T. Nikolaus, On the K-Theory of Z/pⁿ, arXiv:2405.04329. [arXiv]

  4. B. Antieau and N. Riggenbach, Cyclotomic Synthetic Spectra, arXiv:2411.19929. [arXiv]

  5. K. Bals, The Topological Cartier–Raynaud Ring, arXiv:2404.10724v1. [arXiv]

  6. V. Drinfeld, Prismatization, Selecta Math. (N.S.) 30, Paper 49. [arXiv]

  7. R. Fernando, Saturated de Rham–Witt Complexes with Unit-Root Coefficients, arXiv:2406.02922v2. [arXiv]

  8. C. Kothari and J. Mundinger, Dieudonné Theory for n-Smooth Group Schemes, arXiv:2408.15333v2; to appear in Algebra & Number Theory. [arXiv]

  9. K. Magidson, Witt Vectors and δ-Cartier Rings, arXiv:2409.03877v4. [arXiv]

  10. Z. Mao, Noncommutative Relative de Rham–Witt Complex via the Norm, arXiv:2410.05998v1. [arXiv]

  11. J. McCandless, On Curves in K-Theory and TR, J. Eur. Math. Soc. 26, 4315–4373. [arXiv]

  12. D. Pham, Prismatic F-Gauges and a Result of T. Liu, arXiv:2411.04069. [arXiv]

2025

  1. Abhinandan and A. Youcis, An Integral Comparison of Crystalline and de Rham Cohomology, arXiv:2507.17631; accepted in Selecta Math.. [arXiv]

  2. B. Antieau, Filtrations and Cohomology I: Crystallization, arXiv:2511.01567. [arXiv]

  3. B. Antieau, Filtrations and Cohomology II: The Gauss–Manin Connection, arXiv:2511.14731. [arXiv]

  4. B. Antieau, Filtrations and Cohomology III: Cohomology of E∞ Rings, arXiv:2512.15509. [arXiv]

  5. M. Darrell and N. Riggenbach, TR of Quasiregular Semiperfect Rings Is Even, Selecta Math. (N.S.) 31, Article 63. [arXiv]

  6. S. K. Devalapurkar and S. Mondal, p-Typical Curves on p-Adic Tate Twists and de Rham–Witt Forms, Adv. Math. 479, 110448. [arXiv]

  7. E. Dotto, An Analogue of the Milnor Conjecture for the de Rham–Witt Complex in Characteristic 2, Forum Math. Sigma 13, e87. [arXiv]

  8. E. Dotto, A. Krause, T. Nikolaus, and I. Patchkoria, Witt Vectors with Coefficients and TR, Proc. Lond. Math. Soc. (3) 130, e70047. [arXiv]

  9. R. Fernando, Dimensional Vanishing of the Saturated de Rham–Witt Complex, arXiv:2507.22314v2. [arXiv]

  10. L. Grammatica, A. N. Skorobogatov, and Y. Yang, Brauer Groups of Abelian Varieties over Fields of Finite Characteristic, arXiv:2511.08840v2. [arXiv]

  11. D. Lahoti and D. Manam, Cohomology Theories in the Moduli of Ring Stacks, arXiv:2510.09582. [arXiv]

  12. Z. Liu, A Stacky Approach to Prismatic Crystals via q-Prism Charts, arXiv:2504.07005. [arXiv]

  13. K. Madapusi and S. Mondal, Perfect F-Gauges and Finite Flat Group Schemes, arXiv:2509.01573. [arXiv]

  14. A. Mathew and S. Mondal, Affine Stacks and Derived Rings, author manuscript. [PDF]

  15. S. Mondal, Dieudonné Theory via Classifying Stacks and Prismatic F-Gauges, arXiv:2405.12967v3; to appear in Cambridge J. Math.. [arXiv]

  16. S. Mondal, Zeta Function of F-Gauges and Special Values, arXiv:2501.05027v1. [arXiv]

  17. S. Mondal, T. Moulinos, and L. Yang, Artin–Mazur Formal Groups and Milne Duality via Unipotent Spectra, arXiv:2510.06152v1. [arXiv] [PDF]

  18. A. Petrov, Decomposition of de Rham Complex for Quasi-F-Split Varieties, arXiv:2502.13356. [arXiv]

  19. N. Riggenbach, K-Theory of Truncated Polynomials, Math. Z. 310, Article 59. [arXiv]

  20. A. N. Skorobogatov, Boundedness of the p-Primary Torsion of the Brauer Group of Products of Varieties, Forum Math. Sigma 13, e134. [arXiv]

  21. F. Wagner, q-Witt Vectors and q-Hodge Complexes, arXiv:2410.23078v5. [arXiv]

2026

  1. B. Bhatt, A. Mathew, and V. Vologodsky, Sheared Witt Vectors, arXiv:2607.01178v1. [arXiv]

  2. B. Bhatt, T. Gee, and M. Kisin, Reduction Modulo p of Crystalline Galois Representations via μₚ-Equivariance, arXiv:2607.08660. [arXiv]

  3. L. Illusie, Recent Developments on Zeta Values over Finite Fields, after S. Mondal, author manuscript, 52 pp.. [PDF]

  4. C. Kothari and J. Mundinger, Cartier–Dieudonné Theory of Connected Group Schemes, arXiv:2609.30586v1. [arXiv]

  5. S. Li and Y. Yang, On de Rham–Witt Cohomology of Classifying Stacks, arXiv:2604.03062v1. [arXiv]

  6. S. Mondal and E. Reinecke, Unipotent Homotopy Theory of Schemes, J. Amer. Math. Soc. 39, 205–312. [arXiv]

  7. S. Mondal, Syntomic Cohomology of Rational Weights and Zeta Functions, author manuscript. [PDF]

  8. S. Mondal and M. Olsson, Height 1 Group Schemes and Prismatic F-Gauges, arXiv:2604.16066v1. [arXiv]

  9. M. Olsson, Hochschild Homology for Log Schemes, Épijournal de Géométrie Algébrique 10 (2026), Article 15111. [arXiv]

  10. Y. Yang, Remarks on p-Primary Torsion of the Brauer Group, J. Number Theory 279, 184–215. [DOI] [arXiv v2]

  11. Y. Yang, Canonical Representatives and Interval Independence in Ekedahl’s Equivalence, arXiv:2609.39293v1. [arXiv]

  12. Y. Yang, Generic Hodge and Special Hodge–Witt Polygons, arXiv:2610.05892v1. [arXiv]

  13. Y. Zhang, Higher Dimensional Dominoes in de Rham–Witt Cohomology, arXiv:2607.26323v1. [arXiv]

  14. Y. Zhang, Harder–Narasimhan Filtration of Torsion F-Gauges, arXiv:2609.27089v1. [arXiv]

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