Overview

Back to top

Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2023 | 2020 | 2018 | 2015 | 2013 | 2012 | 2011 | 2009 | 2008 | 2006 |

2023

• Johnston H, Torzewski A. (2023) On the existence of free sublattices of bounded index and arithmetic applications. [PDF]
• Ferri F, Johnston H. (2023) Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]

2020

• Bartel A, Johnston H, Jr HWL. (2020) Arakelov class groups of random number fields. [PDF]
• Johnston H, Nickel A. (2020) An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications. [PDF]

2018

• Johnston H, Nickel A. (2018) On the non-abelian Brumer–Stark conjecture and the equivariant Iwasawa main conjecture, Mathematische Zeitschrift, volume 292, no. 3-4, pages 1233-1267, DOI:10.1007/s00209-018-2152-8. [PDF]
• Johnston H, Nickel A. (2018) Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture, American Journal of Mathematics, volume 140, no. 1, pages 245-276, DOI:10.1353/ajm.2018.0005.

2015

• Johnston HLA, Nickel A. (2015) On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results, Transactions of the American Mathematical Society, volume 368, pages 6539-6574, DOI:10.1090/tran/6453. [PDF]
• Johnston H. (2015) Explicit integral Galois module structure of weakly ramified extensions of local fields, Proceedings of the American Mathematical Society, volume 143, no. 12, pages 5059-5071, DOI:10.1090/proc/12634. [PDF]

2013

• Johnston H, Nickel A. (2013) Noncommutative Fitting invariants and improved annihilation results, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, volume 88, pages 137-160, DOI:10.1112/jlms/jdt009. [PDF]

2012

• Greither C, Johnston H. (2012) NON-EXISTENCE AND SPLITTING THEOREMS FOR NORMAL INTEGRAL BASES, ANNALES DE L INSTITUT FOURIER, volume 62, no. 1, pages 417-437, DOI:10.5802/aif.2709. [PDF]

2011

• Bley W, Johnston H. (2011) Computing generators of free modules over orders in group algebras II, MATHEMATICS OF COMPUTATION, volume 80, no. 276, pages 2411-2434, DOI:10.1090/S0025-5718-2011-02488-9. [PDF]
• Burns D, Johnston H. (2011) A non-abelian Stickelberger theorem, Compositio Mathematica, volume 147, no. 1, pages 35-55, DOI:10.1112/S0010437X10004859.
• Byott NP, Carter JE, Greither C, Johnston H. (2011) On the restricted Hilbert-Speiser and Leopoldt properties, Illinois Journal of Mathematics, volume 55, no. 2, pages 623-639.

2009

• Greither C, Johnston H. (2009) On totally real Hilbert-Speiser fields of type C_p, ACTA ARITHMETICA, volume 138, no. 4, pages 329-336, DOI:10.4064/aa138-4-3. [PDF]
• Greither C, Johnston H. (2009) Capitulation for locally free class groups of orders of group algebras over number fields, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, volume 41, pages 541-548, DOI:10.1112/blms/bdp030. [PDF]

2008

• Bley W, Johnston H. (2008) Computing generators of free modules over orders in group algebras, JOURNAL OF ALGEBRA, volume 320, no. 2, pages 836-852, DOI:10.1016/j.jalgebra.2008.01.042. [PDF]
• Johnston H. (2008) Relative Galois module structure of rings of integers of absolutely abelian number fields, Journal fur die Reine und Angewandte Mathematik, no. 620, pages 85-103, DOI:10.1515/CRELLE.2008.050.

2006

• Johnston H. (2006) On the trace map between absolutely abelian number fields of equal conductor, Acta Arithmetica, volume 122, no. 1, pages 63-74, DOI:10.4064/aa122-1-7.

Back to top