Barthel, Tobias; Berwick-Evans, Daniel; Stapleton, Nathaniel Power operations in the Stolz-Teichner program. (English) Zbl 1512.55011 Geom. Topol. 26, No. 4, 1773-1848 (2022). Reviewer: Yifei Zhu (Shenzhen) MSC: 55N34 81T60 55S25 PDFBibTeX XMLCite \textit{T. Barthel} et al., Geom. Topol. 26, No. 4, 1773--1848 (2022; Zbl 1512.55011) Full Text: DOI arXiv
Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel On stratification for spaces with Noetherian mod \(p\) cohomology. (English) Zbl 1505.55022 Am. J. Math. 144, No. 4, 895-941 (2022). Reviewer: Ran Levi (Aberdeen) MSC: 55P42 55R35 PDFBibTeX XMLCite \textit{T. Barthel} et al., Am. J. Math. 144, No. 4, 895--941 (2022; Zbl 1505.55022) Full Text: DOI arXiv
Barthel, Tobias; Beaudry, Agnès; Goerss, Paul G.; Stojanoska, Vesna Constructing the determinant sphere using a Tate twist. (English) Zbl 1493.55012 Math. Z. 301, No. 1, 255-274 (2022). Reviewer: Jack Davies (Bonn) MSC: 55P42 55Q10 55N20 55N22 PDFBibTeX XMLCite \textit{T. Barthel} et al., Math. Z. 301, No. 1, 255--274 (2022; Zbl 1493.55012) Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew; Naumann, Niko On conjectures of Hovey-Strickland and Chai. (English) Zbl 1515.14054 Sel. Math., New Ser. 28, No. 3, Paper No. 56, 31 p. (2022). MSC: 14L05 55N22 11S31 18G80 55P42 PDFBibTeX XMLCite \textit{T. Barthel} et al., Sel. Math., New Ser. 28, No. 3, Paper No. 56, 31 p. (2022; Zbl 1515.14054) Full Text: DOI arXiv
Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel Monochromatic homotopy theory is asymptotically algebraic. (English) Zbl 1483.55005 Adv. Math. 393, Article ID 107999, 44 p. (2021). Reviewer: Jack Davies (Utrecht) MSC: 55P42 55P60 55N20 55U35 PDFBibTeX XMLCite \textit{T. Barthel} et al., Adv. Math. 393, Article ID 107999, 44 p. (2021; Zbl 1483.55005) Full Text: DOI arXiv
Krause, Henning [Barthel, Tobias; Keller, Bernhard] Completing perfect complexes. With appendices by Tobias Barthel and Bernhard Keller. (English) Zbl 1455.18009 Math. Z. 296, No. 3-4, 1387-1427 (2020). Reviewer: Luca Pol (Regensburg) MSC: 18G80 14F06 16E35 55P42 PDFBibTeX XMLCite \textit{H. Krause}, Math. Z. 296, No. 3--4, 1387--1427 (2020; Zbl 1455.18009) Full Text: DOI
Barthel, Tobias A short introduction to the telescope and chromatic splitting conjectures. (English) Zbl 1459.55005 Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer. Springer Proc. Math. Stat. 309, 261-273 (2020). MSC: 55P42 55-02 PDFBibTeX XMLCite \textit{T. Barthel}, Springer Proc. Math. Stat. 309, 261--273 (2020; Zbl 1459.55005) Full Text: DOI arXiv Link
Barthel, Tobias; Stapleton, Nathaniel Transfer ideals and torsion in the Morava \(E\)-theory of abelian groups. (English) Zbl 1512.55008 J. Homotopy Relat. Struct. 15, No. 2, 369-375 (2020). Reviewer: Malkhaz Bakuradze (Tbilisi) MSC: 55N22 55P42 55S25 PDFBibTeX XMLCite \textit{T. Barthel} and \textit{N. Stapleton}, J. Homotopy Relat. Struct. 15, No. 2, 369--375 (2020; Zbl 1512.55008) Full Text: DOI arXiv
Barthel, Tobias; Schlank, Tomer M.; Stapleton, Nathaniel Chromatic homotopy theory is asymptotically algebraic. (English) Zbl 1442.55002 Invent. Math. 220, No. 3, 737-845 (2020). Reviewer: Jordan Williamson (Praha) MSC: 55N22 55P42 03C20 PDFBibTeX XMLCite \textit{T. Barthel} et al., Invent. Math. 220, No. 3, 737--845 (2020; Zbl 1442.55002) Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel Derived completion for comodules. (English) Zbl 1436.55018 Manuscr. Math. 161, No. 3-4, 409-438 (2020). Reviewer: Geoffrey Powell (Angers) MSC: 55P60 13D45 14B15 55U35 PDFBibTeX XMLCite \textit{T. Barthel} et al., Manuscr. Math. 161, No. 3--4, 409--438 (2020; Zbl 1436.55018) Full Text: DOI arXiv
Barthel, Tobias; Greenlees, J. P. C.; Hausmann, Markus On the Balmer spectrum for compact Lie groups. (English) Zbl 1431.55012 Compos. Math. 156, No. 1, 39-76 (2020). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P91 55P42 18G80 PDFBibTeX XMLCite \textit{T. Barthel} et al., Compos. Math. 156, No. 1, 39--76 (2020; Zbl 1431.55012) Full Text: DOI arXiv
Barthel, Tobias; Castellana, Natàlia; Heard, Drew; Valenzuela, Gabriel Stratification and duality for homotopical groups. (English) Zbl 1426.55017 Adv. Math. 354, Article ID 106733, 61 p. (2019). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 55R35 20J05 13D45 55P42 PDFBibTeX XMLCite \textit{T. Barthel} et al., Adv. Math. 354, Article ID 106733, 61 p. (2019; Zbl 1426.55017) Full Text: DOI arXiv Link
Barthel, Tobias; Beaudry, Agnès; Stojanoska, Vesna Gross-Hopkins duals of higher real K-theory spectra. (English) Zbl 1426.55001 Trans. Am. Math. Soc. 372, No. 5, 3347-3368 (2019). Reviewer: Constanze Roitzheim (Canterbury) MSC: 55M05 55P42 20J06 55Q91 55Q51 55P60 PDFBibTeX XMLCite \textit{T. Barthel} et al., Trans. Am. Math. Soc. 372, No. 5, 3347--3368 (2019; Zbl 1426.55001) Full Text: DOI arXiv
Barthel, Tobias; Hausmann, Markus; Naumann, Niko; Nikolaus, Thomas; Noel, Justin; Stapleton, Nathaniel The Balmer spectrum of the equivariant homotopy category of a finite abelian group. (English) Zbl 1417.55016 Invent. Math. 216, No. 1, 215-240 (2019). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P91 55P42 18E30 PDFBibTeX XMLCite \textit{T. Barthel} et al., Invent. Math. 216, No. 1, 215--240 (2019; Zbl 1417.55016) Full Text: DOI arXiv Link
Barthel, Tobias; Bousfield, A. K. On the comparison of stable and unstable \(p\)-completion. (English) Zbl 1410.55005 Proc. Am. Math. Soc. 147, No. 2, 897-908 (2019). Reviewer: Markus Szymik (Trondheim) MSC: 55P60 55P42 PDFBibTeX XMLCite \textit{T. Barthel} and \textit{A. K. Bousfield}, Proc. Am. Math. Soc. 147, No. 2, 897--908 (2019; Zbl 1410.55005) Full Text: DOI arXiv
Barthel, Tobias (ed.); Krause, Henning (ed.); Stojanoska, Vesna (ed.) Mini-workshop: Chromatic phenomena and duality in homotopy theory and representation theory. Abstracts from the mini-workshop held March 4–10, 2018. (English) Zbl 1409.00065 Oberwolfach Rep. 15, No. 1, 507-529 (2018). MSC: 00B05 00B25 55-06 18-06 55U35 18Exx 55Pxx 14F42 16D90 20C20 PDFBibTeX XMLCite \textit{T. Barthel} (ed.) et al., Oberwolfach Rep. 15, No. 1, 507--529 (2018; Zbl 1409.00065) Full Text: DOI
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel The algebraic chromatic splitting conjecture for Noetherian ring spectra. (English) Zbl 1476.55025 Math. Z. 290, No. 3-4, 1359-1375 (2018). Reviewer: Dominic Culver (Bonn) MSC: 55P42 55P60 18N55 18G80 PDFBibTeX XMLCite \textit{T. Barthel} et al., Math. Z. 290, No. 3--4, 1359--1375 (2018; Zbl 1476.55025) Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel Local duality in algebra and topology. (English) Zbl 1403.55008 Adv. Math. 335, 563-663 (2018). Reviewer: David Barnes (Belfast) MSC: 55P60 13D45 14B15 55U35 55U30 PDFBibTeX XMLCite \textit{T. Barthel} et al., Adv. Math. 335, 563--663 (2018; Zbl 1403.55008) Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew; Valenzuela, Gabriel Local duality for structured ring spectra. (English) Zbl 1384.55008 J. Pure Appl. Algebra 222, No. 2, 433-463 (2018). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P43 14B15 13D45 PDFBibTeX XMLCite \textit{T. Barthel} et al., J. Pure Appl. Algebra 222, No. 2, 433--463 (2018; Zbl 1384.55008) Full Text: DOI arXiv
Barthel, Tobias Auslander-Reiten sequences, Brown-Comenetz duality, and the \(K(n)\)-local generating hypothesis. (English) Zbl 1380.55008 Algebr. Represent. Theory 20, No. 3, 569-581 (2017). Reviewer: Steffen Sagave (Nijmegen) MSC: 55P42 16G70 18E30 55U35 PDFBibTeX XMLCite \textit{T. Barthel}, Algebr. Represent. Theory 20, No. 3, 569--581 (2017; Zbl 1380.55008) Full Text: DOI arXiv
Barthel, Tobias; Stapleton, Nathaniel [Hahn, Jeremy] Brown-Peterson cohomology from Morava \(E\)-theory. (English) Zbl 1373.55002 Compos. Math. 153, No. 4, 780-819 (2017). Reviewer: Rui Miguel Saramago (Porto Salvo) MSC: 55N20 55N22 55R40 PDFBibTeX XMLCite \textit{T. Barthel} and \textit{N. Stapleton}, Compos. Math. 153, No. 4, 780--819 (2017; Zbl 1373.55002) Full Text: DOI arXiv
Barthel, Tobias; Heard, Drew The \(E_{2}\)-term of the \(K(n)\)-local \(E_{n}\)-Adams spectral sequence. (English) Zbl 1348.55008 Topology Appl. 206, 190-214 (2016). Reviewer: Lennart Meier (Bonn) MSC: 55P60 55Q10 13J10 PDFBibTeX XMLCite \textit{T. Barthel} and \textit{D. Heard}, Topology Appl. 206, 190--214 (2016; Zbl 1348.55008) Full Text: DOI arXiv
Barthel, Tobias; Frankland, Martin Completed power operations for Morava \(E\)-theory. (English) Zbl 1326.55018 Algebr. Geom. Topol. 15, No. 4, 2065-2131 (2015). Reviewer: Haruo Minami (Nara) MSC: 55S25 55S12 13B35 PDFBibTeX XMLCite \textit{T. Barthel} and \textit{M. Frankland}, Algebr. Geom. Topol. 15, No. 4, 2065--2131 (2015; Zbl 1326.55018) Full Text: DOI arXiv