Johannes Nordström

E-mail:	j dot nordstrom at bath dot ac dot uk
	Public key
Phone:	01225 384479
Address:	Department of Mathematical Sciences University of Bath Claverton Down Bath BA2 7AY

I am a reader in the algebra and geometry group at the Bath maths department.

Research

Journal papers

with Diarmuid Crowley and Sebastian Goette An analytic invariant of G₂-manifolds, Invent. Math. (2025) (Inv. Math., arXiv)
with Karsten Matthies and Matt Turner SU(2)² x U(1)-invariant G₂-instantons on the AC limit of the C7 family, Comm. Anal. Geom. 32 (2024), 2505-2549 (arXiv)
Extra-twisted connected sum G₂-manifolds, Ann. Glob. Anal. Geom. 64 (2023) (AGAG, arXiv)
with Lorenzo Foscolo and Mark Haskins Complete non-compact G₂-manifolds from asymptotically conical Calabi-Yau 3-folds, Duke Math. J. 170 (2021), 3323-3416 (DMJ, arXiv)
with Diarmuid Crowley Exotic G₂-manifolds, Math. Ann. 381 (2021), 29-74 (Math Ann, arXiv)
with Lorenzo Foscolo and Mark Haskins Infinitely many new families of complete cohomogeneity one G₂-manifolds:
G₂ analogues of the Taub-NUT and Eguchi-Hanson spaces, J. Eur. Math. Soc. 23 (2021), 2153-2220 (arXiv, JEMS)
with Diarmuid Crowley The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3, J. Top. 13 (2020), 539-575 (arXiv, JTop)
with Grégoire Menet and Henrique Sá Earp Construction of G₂-instantons via twisted connected sums, Math. Res. Letters 28 (2021), 471-509 (MRL, arXiv)
with Diarmuid Crowley The classification of 2-connected 7-manifolds, Proc. London Math. Soc. 119 (2019), 1-54. (PLMS, arXiv)
with Diarmuid Crowley New invariants of G₂-structures, Geom. Topol. 19 (2015) 2949-2992 (G&T, arXiv)
with Mark Haskins and Hans-Joachim Hein Asymptotically cylindrical Calabi-Yau manifolds, J. Diff. Geom. 101 (2015) 213-265 (JDG, arXiv)
with Alessio Corti, Mark Haskins and Tommaso Pacini G₂-manifolds and associative submanifolds from semi-Fano 3-folds,
Duke Math. J. 164 (2015) 1971-2092 (DMJ, arXiv)
with Alessio Corti, Mark Haskins and Tommaso Pacini Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds,
Geom. Topol. 17 (2013) 1955-2059 (PDF, G&T, arXiv)
Ricci-flat deformations of metrics with exceptional holonomy, Bull. London Math. Soc. 45 (2013) 1004-1018 (PDF, BLMS, arXiv)
with Alexei Kovalev Asymptotically cylindrical 7-manifolds of holonomy G₂ with applications to compact irreducible G₂-manifolds,
Ann. Global Anal. Geom. 38 (2010) 221-257 (PDF © Springer, arXiv)
Deformations of glued G₂-manifolds, Comm. Anal. Geom. 17 (2009) 481-503 (PDF © International Press, arXiv)
Deformations of asymptotically cylindrical G₂-manifolds, Math. Proc. Camb. Phil. Soc. 145 (2008) 311-348 (PDF © CUP, MPCPS, arXiv)

Other

with Mark Haskins and Rowan Juneman Sp(2)-invariant expanders and shrinkers in Laplacian flow (arXiv)
with Mark Haskins Cohomogeneity-one solitons in Laplacian flow: local, smoothly-closing and steady solitons (arXiv)
with Csaba Nagy Rational homotopy and simply-connected 8-manifolds (arXiv)
with Sebastian Goette Nu-invariants of extra-twisted connected sums with an appendix by Don Zagier (arXiv)
with Diarmuid Crowley and Sebastian Goette Distinguishing G₂-manifolds, Fields Institute Communications vol. 84, Springer US, 143-172 (survey, arXiv)
Thesis (PS, PDF)

My preprints on the arXiv are collected here.

Talk slides

My Bacon-Erdős number is 8.

Teaching

Weave your own catenoid from paper strips, get a helicoid free.

ah, network is slow.
things turn out blocky.
what's clogging up my bandwidth?
I will find out soon.