Steve Lack

Associate Professor

  • 1292 Citations
  • 19 h-Index
1993 …2020

Research output per year

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Research Outputs

2020

Braided skew monoidal categories

Bourke, J. & Lack, S., 2020, In : Theory and Applications of Categories. 35, p. 19-63 45 p., 2.

Research output: Contribution to journalArticle

Open Access

Enriched regular theories

Lack, S. & Tendas, G., Jun 2020, In : Journal of Pure and Applied Algebra. 224, 6, p. 1-29 29 p., 106268.

Research output: Contribution to journalArticle

2018

Free skew monoidal categories

Bourke, J. & Lack, S., Oct 2018, In : Journal of Pure and Applied Algebra. 222, 10, p. 3255-3281 27 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Hochschild homology, lax codescent, and duplicial structure

Garner, R., Lack, S. & Slevin, P., 2018, In : Annals of k-Theory. 3, 1, p. 1-31 31 p.

Research output: Contribution to journalArticle

Skew monoidal categories and skew multicategories

Bourke, J. & Lack, S., 15 Jul 2018, In : Journal of Algebra. 506, p. 237-266 30 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Weak multiplier bimonoids

Böhm, G., Gómez-Torrecillas, J. & Lack, S., Feb 2018, In : Applied Categorical Structures. 26, 1, p. 47–111 65 p.

Research output: Contribution to journalArticle

2017

A category of multiplier bimonoids

Böhm, G. & Lack, S., 2017, In : Applied Categorical Structures. 25, 2, p. 279-301 23 p.

Research output: Contribution to journalArticle

Multiplier Hopf monoids

Böhm, G. & Lack, S., 2017, In : Algebras and Representation Theory. 20, 1, p. 1-46 46 p.

Research output: Contribution to journalArticle

2016

Homotopy locally presentable enriched categories

Lack, S. & Rosický, J., 2 Aug 2016, In : Theory and Applications of Categories. 31, p. 712-754 43 p., 25.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Hopf comonads on naturally Frobenius map-monoidales

Böhm, G. & Lack, S., 1 Jun 2016, In : Journal of Pure and Applied Algebra. 220, 6, p. 2177-2213 37 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Semi-localizations of semi-abelian categories

Gran, M. & Lack, S., 15 May 2016, In : Journal of Algebra. 454, p. 206-232 27 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2015

Combinatorial categorical equivalences of Dold-Kan type

Lack, S. & Street, R., Oct 2015, In : Journal of Pure and Applied Algebra. 219, 10, p. 4343-4367 25 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Multiplier bialgebras in braided monoidal categories

Böhm, G. & Lack, S., 1 Feb 2015, In : Journal of Algebra. 423, p. 853-889 37 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Skew-monoidal reflection and lifting theorems

Lack, S. & Street, R., 7 Jul 2015, In : Theory and Applications of Categories. 30, p. 985-1000 16 p., 28.

Research output: Contribution to journalArticle

Open Access
File
4 Citations (Scopus)
7 Downloads (Pure)

The Catalan simplicial set

Buckley, M., Garner, R., Lack, S. & Street, R., 11 Mar 2015, In : Mathematical Proceedings of the Cambridge Philosophical Society. 158, 2, p. 211-222 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2014

A skew-duoidal Eckmann-Hilton argument and quantum categories

Lack, S. & Street, R., Oct 2014, In : Applied Categorical Structures. 22, 5-6, p. 789-803 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Morita contexts as lax functors

Lack, S., 1 Apr 2014, In : Applied Categorical Structures. 22, 2, p. 311-330 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On monads and warpings

Lack, S. & Street, R., 2014, In : Cahiers de topologie et geometrie differentielle categoriques. LV, 4, p. 244-266 23 p.

Research output: Contribution to journalArticle

Triangulations, orientals, and skew monoidal categories

Lack, S. & Street, R., 20 Jun 2014, In : Advances in Mathematics. 258, p. 351-396 46 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2012

A special volume of articles from the CT2011 conference: introduction

Gran, M., Janelidze, G., Lack, S., MacDonald, J. & Tholen, W., 2012, In : Theory and Applications of Categories. 27, p. 1-1 1 p.

Research output: Contribution to journalEditorial

Enhanced 2-categories and limits for lax morphisms

Lack, S. & Shulman, M., 15 Jan 2012, In : Advances in Mathematics. 229, 1, p. 294-356 63 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Enriched weakness

Lack, S. & Rosický, J., Aug 2012, In : Journal of Pure and Applied Algebra. 216, 8-9, p. 1807-1822 16 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Grothendieck quasitoposes

Garner, R. & Lack, S., 1 Apr 2012, In : Journal of Algebra. 355, 1, p. 111-127 17 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Böhm, G., Lack, S. & Street, R., Feb 2012, In : Journal of Pure and Applied Algebra. 216, 2, p. 385-403 19 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Lex colimits

Garner, R. & Lack, S., Jun 2012, In : Journal of Pure and Applied Algebra. 216, 6, p. 1372-1396 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Non-canonical isomorphisms

Lack, S., Mar 2012, In : Journal of Pure and Applied Algebra. 216, 3, p. 593-597 5 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

On the axioms for adhesive and quasiadhesive categories

Garner, R. & Lack, S., 7 May 2012, In : Theory and Applications of Categories. 27, p. 27-46 20 p.

Research output: Contribution to journalArticle

Open Access
File
6 Citations (Scopus)
1 Downloads (Pure)

Skew monoidales, skew warpings and quantum categories

Lack, S. & Street, R., 2012, In : Theory and Applications of Categories. 26, 15, p. 385-402 18 p.

Research output: Contribution to journalArticle

Open Access
File
5 Downloads (Pure)
2011

An embedding theorem for adhesive categories

Lack, S., 2011, In : Theory and Applications of Categories. 25, p. 180-188 9 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A Quillen model structure for Gray-categories

Lack, S., Oct 2011, In : Journal of K-Theory. 8, 2, p. 183-221 39 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Foreword

Hyland, M., Janelidze, G., Johnson, M., Johnstone, P. T., Lack, S., Street, R., Tholen, W. & Wood, R., Feb 2011, In : Applied Categorical Structures. 19, 1, p. 1-7 7 p.

Research output: Contribution to journalEditorial

Hopf monads on monoidal categories

Bruguières, A., Lack, S. & Virelizier, A., 1 Jun 2011, In : Advances in Mathematics. 227, 2, p. 745-800 56 p.

Research output: Contribution to journalArticle

52 Citations (Scopus)

Notions of Lawvere theory

Lack, S. & Rosický, J., Feb 2011, In : Applied Categorical Structures. 19, 1, p. 363-391 29 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

On the 2-categories of weak distributive laws

Böhm, G., Lack, S. & Street, R., Dec 2011, In : Communications in Algebra. 39, 12, p. 4567-4583 17 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Weak bimonads and weak Hopf monads

Böhm, G., Lack, S. & Street, R., 15 Feb 2011, In : Journal of Algebra. 328, 1, p. 1-30 30 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2010

A 2-categories companion

Lack, S., 2010, Towards higher categories. Baez, J. C. & May, J. P. (eds.). New York: Springer, Springer Nature, p. 105-191 87 p. (IMA volumes in mathematics and its applications; vol. 152).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bicategories of spans as cartesian bicategories

Lack, S., Walters, R. F. C. & Wood, R. J., 2010, In : Theory and Applications of Categories. 24, p. 1-24 24 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Hopf monoidal comonads

Chikhladze, D., Lack, S. & Street, R., 2010, In : Theory and Applications of Categories. 24, p. 554-563 10 p.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
1 Downloads (Pure)

Icons

Lack, S., Jun 2010, In : Applied Categorical Structures. 18, 3, p. 289-307 19 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Note on the construction of free monoids

Lack, S., Feb 2010, In : Applied Categorical Structures. 18, 1, p. 17-29 13 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2009

Gabriel-Ulmer duality and Lawvere theories enriched over a general base

Lack, S. & Power, J., Jul 2009, In : Journal of Functional Programming. 19, 3-4, p. 265-286 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
2008

2-nerves for bicategories

Lack, S. & Paoli, S., Jan 2008, In : K-Theory: interdisciplinary journal for the development, application and influence of K-theory in the mathematical sciences. 38, 2, p. 153-175 23 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)
2007

Bicat is not triequivalent to Gray

Lack, S., 8 Jan 2007, In : Theory and Applications of Categories. 18, p. 1-3 3 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Categories in Algebra, Geometry, and Mathematical Physics

Davydov, A. (ed.), Batanin, M. (ed.), Johnson, M. (ed.), Lack, S. (ed.) & Neeman, A. (ed.), 2007, Providence: American Mathematical Society.

Research output: Book/ReportEdited Book/Anthology

Homotopy-theoretic aspects of 2-monads

Lack, S., 2007, In : Journal of Homotopy and Related Structures. 2, 2, p. 229-260 32 p.

Research output: Contribution to journalArticle

Limits of small functors

Day, B. J. & Lack, S., Sep 2007, In : Journal of Pure and Applied Algebra. 210, 3, p. 651-663 13 p.

Research output: Contribution to journalArticle

25 Citations (Scopus)

Quasitoposes, quasiadhesive categories and Artin glueing

Johnstone, P. T., Lack, S. & Sobociński, P., 2007, Algebra and Coalgebra in Computer Science - Second International Conference, CALCO 2007, Proceedings. Mossakowski, T., Montanari, U. & Haveraaen, M. (eds.). Berlin; Heidelberg: Springer, Springer Nature, p. 312-326 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 4624).

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

13 Citations (Scopus)

Restriction categories III: Colimits, partial limits and extensivity

Cockett, R. & Lack, S., Aug 2007, In : Mathematical Structures in Computer Science. 17, 4, p. 775-817 43 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)
2006

Toposes are adhesive

Lack, S. & Sobociński, P., Sep 2006, Graph Transformations: Third International Conference, ICGT 2006 Natal, Rio Grande do Norte, Brazil, September 17-23, 2006 Proceedings. Corradini, A., Montanari, U., Ehrig, H. & Ribeiro, L. (eds.). Berlin; New York: Springer, Springer Nature, p. 184-198 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 4178 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

21 Citations (Scopus)
2005

Adhesive and quasiadhesive categories

Lack, S. & Sobociński, P., Jul 2005, In : RAIRO - Theoretical Informatics and Applications. 39, 3, p. 511-545 35 p.

Research output: Contribution to journalArticle

128 Citations (Scopus)