TB
Tobias Barthel
math.ATmath.RTmath.CTmath.AGmath.ACmath.KTmath.NTmath.COmath.GR
On Valency
published · living versionsW_tn2wn4up·v1 · currentpublished
The tensor triangular geometry of valuation domains
with Drew Heard, Beren Sanders, Changhan Zou
1 version
Preprints & journals
58 papers in the corpus · 2012–2026A non-spatial frame of smashing ideals2609.22371v1 · Tobias Barthel, Drew Heard2026 · 0 citationsarXiv
Local Bousfield classes via homological support2608.26876v1 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2026 · 0 citationsarXiv
On the universality of multiexcisive functors2604.02232v1 · Tobias Barthel, Kaif Hilman, Nikolay Konovalov2026 · 0 citationsarXiv
Geometric Points in Tensor Triangular Geometry2603.25664v1 · Tobias Barthel, Logan Hyslop, Maxime Ramzi2026 · 0 citationsarXiv
The nine model category structures on the category of sets2508.15731v1 · Omar Antol'in-Camarena, Tobias Barthel2025 · 0 citationsarXiv
Higher Zariski Geometry2508.11621v1 · Ko Aoki, Tobias Barthel, Anish Chedalavada et al.2025 · 0 citationsarXiv
The spectrum of global representations for families of bounded rank and VI-modules2506.21525v1 · Miguel Barrero, Tobias Barthel, Luca Pol et al.2025 · 0 citationsarXiv
Global representation theory: Homological foundations2505.21449v2 · Miguel Barrero, Tobias Barthel, Luca Pol et al.2025 · 1 citationTunisian J. Math. 8 (2026) 539-578
Cohen's theorem in tensor triangular geometry2505.15786v1 · Tobias Barthel2025 · 0 citationsarXiv
Homological stratification and descent2412.13956v3 · Tobias Barthel, Drew Heard, Beren Sanders et al.2024 · 0 citationsarXiv
On Hopkins' Picard group2407.20958v2 · Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton et al.2024 · 0 citationsarXiv
The spectrum of excisive functors2402.04244v2 · Gregory Arone, Tobias Barthel, Drew Heard et al.2024 · 2 citationsInvent. Math. 241 (2025), no. 2, 363-464
On the rationalization of the -local sphere2402.00960v2 · Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton et al.2024 · 0 citationsarXiv
Profinite equivariant spectra and their tensor-triangular geometry2401.01878v1 · Scott Balchin, David Barnes, Tobias Barthel2024 · 0 citationsarXiv
Prismatic decompositions and rational -spectra2311.18808v1 · Scott Balchin, Tobias Barthel, J. P. C. Greenlees2023 · 0 citationsarXiv
Lattices over finite group schemes and stratification2307.16271v2 · Tobias Barthel, Dave Benson, Srikanth B. Iyengar et al.2023 · 3 citationsarXiv
On surjectivity in tensor triangular geometry2305.05604v2 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2023 · 12 citationsarXiv
Descent in tensor triangular geometry2305.02308v1 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2023 · 5 citationsarXiv
Cosupport in tensor triangular geometry2303.13480v1 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2023 · 1 citationarXiv
Quillen stratification in equivariant homotopy theory2301.02212v2 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2023 · 8 citationsarXiv
The Chromatic Fourier Transform2210.12822v1 · Tobias Barthel, Shachar Carmeli, Tomer M. Schlank et al.2022 · 5 citationsarXiv
Stratifying integral representations via equivariant homotopy theory2203.14946v1 · Tobias Barthel2022 · 1 citationarXiv
Morava K-theory and Filtrations by Powers2111.06379v2 · Tobias Barthel, Piotr Pstragowski2021 · 3 citationsJ. Inst. Math. Jussieu 24 (2025) 1655-1731
Stratifying integral representations of finite groups2109.08135v1 · Tobias Barthel2021 · 1 citationarXiv
Stratification and the comparison between homological and tensor triangular support2106.16011v2 · Tobias Barthel, Drew Heard, Beren Sanders2021 · 17 citationsarXiv
Stratification in tensor triangular geometry with applications to spectral Mackey functors2106.15540v2 · Tobias Barthel, Drew Heard, Beren Sanders2021 · 25 citationsCambridge Journal of Mathematics 11(4):829-915, 2023
On conjectures of Hovey--Strickland and Chai2007.11552v2 · Tobias Barthel, Drew Heard, Niko Naumann2020 · 5 citationsarXiv
Power operations in the Stolz--Teichner program2006.09943v2 · Tobias Barthel, Daniel Berwick-Evans, Nathaniel Stapleton2020 · 4 citationsGeom. Topol. 26 (2022) 1773-1848
Transfer ideals and torsion in the Morava -theory of abelian groups2002.12639v1 · Tobias Barthel, Nathaniel Stapleton2020 · 2 citationsarXiv
Local Gorenstein duality for cochains on spaces2001.02580v2 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2020 · 1 citationarXiv
On stratification for spaces with Noetherian mod cohomology1904.12841v2 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2019 · 3 citationsarXiv
Monochromatic homotopy theory is asymptotically algebraic1903.10003v1 · Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton2019 · 5 citationsarXiv
A short introduction to the telescope and chromatic splitting conjectures1902.05046v2 · Tobias Barthel2019 · 6 citationsarXiv
Chromatic structures in stable homotopy theory1901.09004v2 · Tobias Barthel, Agnes Beaudry2019 · 21 citationsarXiv
A Whitehead theorem for periodic homotopy groups1811.04030v2 · Tobias Barthel, Gijs Heuts, Lennart Meier2018 · 3 citationsarXiv
Constructing the determinant sphere using a Tate twist1810.06651v2 · Tobias Barthel, Agnes Beaudry, Paul G. Goerss et al.2018 · 11 citationsarXiv
Derived completion for comodules1808.00895v2 · Tobias Barthel, Drew Heard, Gabriel Valenzuela2018 · 9 citationsarXiv
Completing perfect complexes1805.10751v4 · Tobias Barthel, Bernhard Keller, Henning Krause2018 · 4 citationsarXiv
On the comparison of stable and unstable -completion1712.07633v1 · Tobias Barthel, A. K. Bousfield2017 · 3 citationsarXiv
Stratification and duality for homotopical groups1711.03491v2 · Tobias Barthel, Natalia Castellana, Drew Heard et al.2017 · 10 citationsarXiv
Chromatic homotopy theory is asymptotically algebraic1711.00844v4 · Tobias Barthel, Tomer Schlank, Nathaniel Stapleton2017 · 25 citationsarXiv
The Balmer spectrum of the equivariant homotopy category of a finite abelian group1709.04828v3 · Tobias Barthel, Markus Hausmann, Niko Naumann et al.2017 · 24 citationsInvent. Math. 216 (2019), 215-240
Algebraic chromatic homotopy theory for -comodules1708.09261v1 · Tobias Barthel, Drew Heard2017 · 8 citationsarXiv
Excellent rings in transchromatic homotopy theory1706.00208v1 · Tobias Barthel, Nathaniel Stapleton2017 · 0 citationsarXiv
The algebraic chromatic splitting conjecture for Noetherian ring spectra1608.03795v3 · Tobias Barthel, Drew Heard, Gabriel Valenzuela2016 · 5 citationsarXiv
Local duality for structured ring spectra1608.03135v2 · Tobias Barthel, Drew Heard, Gabriel Valenzuela2016 · 14 citationsarXiv
Auslander-Reiten sequences, Brown-Comenetz duality, and the -local generating hypothesis1603.09181v1 · Tobias Barthel2016 · 0 citationsarXiv
Local duality in algebra and topology1511.03526v3 · Tobias Barthel, Drew Heard, Gabriel Valenzuela2015 · 36 citationsarXiv
Brown-Peterson cohomology from Morava E-theory1509.05678v2 · Tobias Barthel, Nathaniel Stapleton2015 · 6 citationsCompositio Math. 153 (2017) 780-819
The character of the total power operation1502.01987v3 · Tobias Barthel, Nathaniel Stapleton2015 · 19 citationsGeom. Topol. 21 (2017) 385-440
Career total: 70 works. 58 are in this corpus.Showing the 50 most recent.
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