MG20111.jpg Logo_UPD_web.jpg                    logo-cnrs.jpg                                          logoFondSMP.gif                    logoFRMPC.gif







Mai Gehrke,

Institut de Recherche en Informatique Fondamentale

Automates et Applications



Bureau 4009

Bâtiment Sophie Germain
8 place Aurélie Nemours 
75013 Paris

+33(0)1 5727 9439

(postal address)

Université Paris Diderot – Paris 7

Case 7014

F-75205 Paris Cedex 13











Curriculum Vitae

Publication list

Nijmegen inaugural lecture






NEW! ERC funded project DuaLL to start September 2015. PhD and postdoc positions will be available. For more information see DuaLL



Submissions to the Houston Journal of Mathematics in general algebra and logic are welcome. For submission requirements please refer to the Information for Authors.


Upcoming events


Logic, Algebra and Truth Degrees 2016, Phalaborwa, South Africa, 28-30 June 2016


LICS 2016, New York City, NEW York, 5-9 July 2016


Logical Structures in Computation, Simon’s Institute, UC Berkeley, 17 August – 16 December, 2016



Recent papers


       Uniform Birkhoff, with Michael Pinsker.


       The Schützenberger product for Syntactic Spaces, with Daniela Petrişan and Luca Reggio. To appear in ICALP 2016.


       Ultrafilters on words for a fragment of logic, with Andreas Krebs and Jean-Éric Pin. Theoretical Computer Science, Volume 610, Part A (2016), 37–58.


       From ultrafilters on words to the expressive power of a fragment of logic, with Andreas Krebs and Jean-Éric Pin. Proceedings of the 16th International Workshop on Descriptional Complexity of Formal Systems. Jürgensen et al (eds.), Lecture Notes in Computer Science 8614 (2014), 138−149.


       Stone duality, topological algebra, and recognition, Journal of Pure and Applied Algebra, Volume 220, Issue 7, July 2016, Pages 2711–2747.


       Topological Duality and Algebraic Completions, Chapter to appear in Hiroakira Ono on Residuated Lattices and Substructural Logics, Outstanding Contributions Series (Springer).


       Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality, with Sam van Gool and Vincenzo Marra, Journal of Algebra 417 (2014), 290−332.


       A non-commutative Priestley duality, with Andrej Bauer, Karin Cvetko-Vah, Sam van Gool, and Ganna Kudryatseva. Topology and its Applications 160 (12) (2013), 1423–1438.


       Distributive envelopes and topological duality for lattices via canonical extensions, with Sam van Gool. Order 31, Issue 3, 435-461, see


       Canonical extensions, Esakia spaces, and universal models, Chapter in Leo Esakia on duality in modal and intuitionistic logics, Trends in Logic (Outstanding Contributions subseries) 4 (2014), 9−41.


       Relational semantics for full linear logic, with Dion Coumans and Lorijn van Rooijen. Journal of Applied Logic 12 (1), March 2014, 50–66,





·      DuaLL, ERC project (2015-2020)

·      Frec, ANR project (through 2014)






Luca Reggio

Anna Carla Russo (cotutelle with Antonio Di Nola, co-supervised with Olivia Caramello)

Rutger Kuyper (co-director with Peter Stevenhagen, main adviser Sebastiaan Terwijn)

Sam van Gool

Dion Coumans

Jacob Vosmaer

Candida Palma (dissertation)

Hideo Nagahashi

Alex Pogel


Lorijn van Rooijen (paper with Anna Chernilovskaya)

Mirte Dekkers (thesis)

Julie Manisha de Montgomery Nørgaard


Past events


TANCL’07 – Algebraic and Topological Methods in Non-Classical Logics III and its associated workshops, Oxford, 4-12 August. Pictures from the workshops by Juergen Koslowski: group, other.

Arbeitstagung Allgemeine Algebra – Lecture on Canonical extensions, duality theory, and Formal Concept Analysis, November 2-4, 2007, TU Darmstadt, Germany.

Second Indian Winter School on Logic – Course on Algebraic Logic, January 14-26, 2008, IIT Kanpur, India.

LINZ 2008, Foundations of Lattice-Valued Mathematics with Applications to Algebra and Topology – Lecture, 12-16 February, 2008, Linz, Austria.

DIAMANT/EIDMA Symposium – Lecture, 29-30 May, 2008, Leiden, the Netherlands.

ManyVal'08, Applications of topological dualities to measure theory in algebraic many-valued logic – Lecture, May 19-21, 2008, Milano, Italy.

E.W.Beth Centenary Minisymposium on Mathematical Logic, 5th European Congress of Mathematics (5ECM), Lecture: Duality theory as a Rosetta Stone for relational semantics, July 15, Amsterdam, Netherland.

Visiting ProfessorshipPPS, Université de Paris Diderot – Paris 7, July 2008.

BLAST 2008, Lecture: Duality for MV-algebras, 6-10 August, 2008, Boulder, Colorado.

Sheaves in Geometry and Quantum Theory, a three-day workshop on the interplay between logic, topology/geometry and quantum theory, 3-5 September 2008.

AiML 2008, Advances in Modal Logic, Lecture: Using duality theory to export methods from modal logic, 9-12 September, Nancy, France.

Duality between two worlds, invited talk, Parallelle Werelden, Muziekgebouw aan 't IJ in Amsterdam, NL, 8 December 2008.

Workshop on Algebraic Logic ICLA 2009, Program Committee, January 7-11 2009.

Algebra and Geometry Seminar, An overview of canonical extensions of lattices,  Laboratoire de Mathematiques Nicolas Oresme, Caen, France, January 27 2009.

Duality, Oratie, Radboud Universiteit, Nijmgen, NL, March 12 2009.

Leiden Mathematics Colloquium, Duality as a Rosetta Stone, Leiden University, Leiden, NL, April 2, 2009.

Van Melsen Prijs, Opening of ceremony, FNWI, Radboud Universiteit, Nijmegen, NL, April 3, 2009.

Semantics Colloquium, Relational semantics for substructural logic, Nijmegen Center for Semantics, Radboud Universiteit, Nijmegen, NL, May 12, 2009.

Mathematical Logic in the Netherlands 2009 (MLNL09), OrganiserRadboud Universiteit, Nijmegen, NL, May 25-26 2009.

AAA78, Arbeitstagung Allgemeine Algebra 78, Advances in topological duality theory, Bern, Switzerland, June 11-14, 2009.

Topology, Algebra, and Categories in Logics 2009 (TACL), Program Committee, Amsterdam, NL, July 7-11 2009.

Seventh Panhellenic Logic Symposium (PLS7), Invited talk, Patras, Greece, July 15-19 2009.

Conference on Algebra and Coalgebra in Computer Science 2009 (CALCO), Invited talk, Udine, Italy September 6-10 2009.

8th International Tbilisi Symposium on Language, Logic, and Computation, Tutorial on Logic, Tbilisi, Georgia, September 21-25, 2009.

Dagstuhl Seminar, Coalgebraic Logics, Schloss Dagstuhl, Germany, December 6-9, 2009.

MLNL 2010, 27-28 May 2010, Utrecht

DIAMANT/EIDMA Symposium Spring 2010, 27-28 May 2010, Nunspeet

Séminaire Complexité, Logique et Informatique, Groupe de Logique, 1 june, Paris

Séminaire de l’institut Gaspard-Monge, 22 juin, Marne-la-Vallée

ICALP 2010, July 5-10, 2010, Bordeaux

Tbilisi Topology Workshop 2010, June 8-10, 2010, Tbilisi

Logic Colloquium 2010, July 25-31, Paris

Categorical information flow in quantum physics and linguistics, 29-31 October 2010, CompLab, Oxford

Logique, catégories, sémantique, 12-13 November 2010, Bordeaux

DIAMANT/EIDMA Symposium, 25-26 November 2010, Lunteren

Workshop on Modal Logic and Stone Duality, 13 December 2010, ILLC, Amsterdam

PhDs in Logic III, 17-18 February 2011, Brussels

Workshop on Universal models, 24 February 2011, Amsterdam

Mathematics Colloquium, Korteweg-de Vries Institute, UvA, 20 April 2011, Amsterdam

Mathematical Logic in the Netherlands 2011 (MLNL11), Rijksuniversiteit Groningen, Groningen, NL, May 19-20 2011.

European Women in Mathematics Summer School, 6-10 June 2011, Leiden

Second International Conference in Order, Algebra and Logics, 6 - 10 June 2011, Krakow

Topology, Algebra, and Categories in Logic (TACL 2011), 25-30 July, Marseille

36th International Symposium on Mathematical Foundations of Computer Science (MFCS 2011), 22-26 August 2011, Warsaw

Ordered Groups and Lattices in Algebraic Logic, 20-23 September 2011, Tbilisi

Concept Lattices and their Applications, 17-21 October 2011, Nancy

ALCOP 2012, 16-18 April 2012, Prague

DIAMANT Symposium, 31 May-1 June 2012, Nunspeet

FREC meeting, 4-7 June 2012, Bordeaux

Duality theory in algebra, logic, and computer science, June 13-14  and  August 15-17, 2012, Oxford

Coalgebraic Logics, 7-12 October 2012, Dagstuhl

CUSO Winter School in Mathematics and Computer Science: Proof and Computation, 27-31 January 2013, Les Diablerets

Journées Topologie et Informatique/Topology and Informatics days, 21-22 March 2013, Paris

PhDs in Logic V, 8-10 April 2013, München

ALCOP 2013, April 18-20 2013, Utrecht

A scientific meeting in honor of Antonino Salibra, July 1-2 2013, Paris

Duality in Computer Science, 29 July- 2 August 2013, Dagstuhl

Boolean algebras, Lattices, Algebraic Logic, Set Theory, and Topology (BLAST 2013), August 5-9 2013, Chapman University, Orange

Master 2 – LMFIcours: Théorie de la dualité en logique et informatique\Duality theory in logic and informatics, Winter 2014

Workshops on Duality and Probabilistic Systems (Belairs Research Center, McGill University), Holetown, Barbados, March 2014

Frontiers of Recognizability, Centre International de Rencontres Mathématiques (CIRM), 28-30 April 2014

Séminaire "Des Mathématiques", 2 avril, ENS Ulm, Paris

AAA88 Workshop on General Algebra, Warsaw, 19-22 June 2014

TOLO4 International Workshop on Topological Methods in Logic IV, Tbilisi, 23-27 June 2014

AiML 2014  Advances in Modal Logic, Groningen, August 5-8 2014

SLS2014 Scandinavian Logic Symposium, Tampere, 25-27 August 2014

Domains XI, 8-10 September 2014, Paris

BEYOND 2014, Florence, 3-5 December 2014

Master 2 – LMFIcours: Théorie de la dualité en logique et informatique\Duality theory in logic and informatics, Winter 2015

FSMP funded Research visit of Achim Jung, LIAFA, Paris, 2 months in March-Mai 2015

Descriptive Set Theory Seminar, Théorie de Eilenberg-Reiterman et dualité de Stone, Paris 6, 24 March 2015

Visit, Logic group, University of Milan, 31 May- 6 June 2015

Member of CoNRS section 41 lead by the National Institute of Mathematical sciences and their interactions (INSMI), 2012-2015

TACL 2015, Ischia, 21-26 June 2015

Duality in Computer Science, Dagstuhl seminar, 25-30 October 2015




·      Pictures of my kids 


·      Maciej Krupa’s webpage



·      My favourite mathematician (by the Wiskundemeisjes)