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Alexander Berglund
Papers:
- A. Berglund, T. Zeman, Algebraic models for classifying spaces of fibrations. arXiv:2203.02462 [math.AT].
- A. Berglund, Characteristic classes for families of bundles. Sel. Math. New Ser. 28, 51 (2022).
- A. Berglund, Rational models for automorphisms of fiber bundles. Doc. Math. 25 (2020), 239-265.
- A. Berglund, B. Saleh, A dg Lie model for relative homotopy automorphisms. Homology Homotopy Appl. 22 (2020), no. 2, 105-121.
- A. Berglund, I. Madsen, Rational homotopy theory of automorphisms of manifolds. Acta Math. 224 (2020), no. 1, 67-185.
- A. Berglund, K. Börjeson, Koszul A∞-algebras and free loop space homology. Proc. Edinb. Math. Soc. (2) 63 (2020), no. 1, 37-65.
- A. Berglund, J. Bergström, Hirzebruch L-polynomials and multiple zeta values. Math. Ann. 372 (2018), no. 1-2, 125-137.
- A. Berglund, K. Hess, Homotopical Morita theory for corings. Israel J. Math. 227 (2018), no. 1, 239-287.
- A. Berglund, K. Hess, Homotopic Hopf-Galois extensions revisited. J. Noncommut. Geom. 12 (2018), no. 1, 107-155.
- A. Berglund, K. Börjeson, Free loop space homology of highly connected manifolds. Forum Math. 29 (2017), no. 1, 201-228.
- A. Berglund, Rational homotopy theory of mapping spaces via Lie theory for L∞-algebras. Homology Homotopy Appl. 17 (2015), no. 2, 343-369.
- A. Berglund, Homological perturbation theory for algebras over operads. Algebr. Geom. Topol. 14 (2014) 2511-2548.
- A. Berglund, Koszul spaces. Trans. Amer. Math. Soc. 366 (2014), no. 9, 4551-4569.
- A. Berglund, I. Madsen, Homological stability of diffeomorphism groups. Pure Appl. Math. Q. 9 (2013), no. 1, 1-48.
- A. Berglund, Shellability and the strong gcd-condition. Electronic J. Combin. 16(2) (2009), #R2. (Björner Festschrift)
- A. Berglund, M. Jöllenbeck, On the Golod property of Stanley-Reisner rings. J. Algebra, 315 (2007), 249-273.
- A. Berglund, J. Blasiak, P. Hersh, Combinatorics of multigraded Poincaré series for monomial rings. J. Algebra, 308 (2007), 73-90.
- A. Berglund, Cofinite Hochschild cohomology. Research reports in mathematics 2007:1, Stockholm University.
- A. Berglund, Poincaré series of monomial rings. J. Algebra, 295 (2006), 211-230.
Theses:
- A. Berglund, Minimal models in algebra, combinatorics and topology. PhD thesis, Stockholm University 2008.
- A. Berglund, Poincaré series and homotopy Lie algebras of monomial rings. Licentiate thesis, Stockholm University 2005.
Lecture notes:
- A. Berglund, Rational homotopy theory. Lecture notes.
- A. Berglund, E∞-algebras and Mandell's theorem. Lecture notes.
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