Welcome

I'm a Post-Doc Post-Doc with Assia Mahboubi, at Inria Nantes.

Here's a short CV .

My research interests lie at the interface of Logic, Type Theory and Functional Analysis. I am interested in continuous models of computations, and their applications to differential equations.

Published Papers

• A Logical Account for Linear Partial Differential Equations , 2018, accepted for publication at LICS 2018 (conference).
• Mackey-complete spaces and power series - A topological model of Differential Linear Logic , with C. Tasson, 2018, Mathematical Structures in Computer Science (journal).
• Weak topologies for Linear Logic, 2016, in Logical Methods for Computer Science (journal).

Preprints

• Models of Linear Logic based on the Schwartz ε-product , with Y. Dabrowski, 82 pages, submitted in april 2018.
• Higher-order distributions for Differential Linear Logic , with J.-S. Lemay, 2018.

Thesis

• I defended my PhD thesis on October 19th 2018. You will find here the manuscript and the slides .

Teaching - Enseignements

Talks

• A logical account for LPDEs , Contributed talk to LICS 2018, Oxford, JuLy 2018.
• Models of LL based on the Schwartz epsilon product , Contributed talk to TLLA 2018, Oxford, JuLy 2018.
• A logic for LPDEs , Invited talk to a special session, Conference MFPS 2018, Halifax, Canada, June 2018.
• Models of LL based on the epsilon product, an introduction to LL , joint work with Y. Dabrowski, séminaire de géométrie et physique mathématique, Paris Diderot, May 2018.
• A Type Theory for Linear Partial Differential Equations , Poster for the Annual days of the GDR-IM, Ecole Polytechnique, Palaiseau, April 2018.
• A Type Theory for Linear Partial Differential Equations, Antique team, ENS Ulm, Paris, March 2018.
• Smooth models of linear logic , Seminar of the LIMD team, LAMA, Université Savoie Mont Blanc, Chambéry, December 2017.
• Smooth models of linear logic , Forum des jeunes mathématicien.ne.s, Nancy, 2017.
• Smooth models of linear logic and Partial Differential Equations , Journées GEOCAL-LAC, Nantes, November 2017.
• Smooth models of linear logic and Partial Differential Equations , Seminar of the team LCR, LIPN Université Paris 13, November 2017.
• Smooth models of Linear Logic based on the Schwartz' epsilon product , Second General Meeting of the GDRI-LL , Roma, October 2017.
• Smooth differential linear logic and Partial differentials equations , Trends in Linear Logic and Applications, Oxford, September 2017.
• Smooth models of Linear Logic : Towards a Type Theory for Linear Partial Differential Equations , Seminar Chocola, Lyon 2017, June.
• Towards a Type Theory for Linear Partial Differential Equations , PLS group, ITU Copenhagen, June 2017.
• Smooth models of Differential Linear Logic , DIKU, Copenhagen, June 2017.
• Mackey-complete spaces and power series : a topological model of Differential Linear Logic , Workshop QSLC, Marseille, September 2016.
• Differential Linear Logic , Seminar on the semantics of linear logic, Copenhagen, February 2016.
• A poster , prepared for the Journées nationales 2016 du GdR IM , Januray 2016.
• The computational meaning of differentiation, PLS group Seminar, ITU Copenhagen, November 2015.
• Tensor Product and *-autonomous categories, TACL 2015 (peer reviewed conference), Ischia, June 2015. The abstract.
• Reduction strategies for the differential lambda-calculus, Géocalisation Summer school, Chambéry, June 2015.
• Weak topologies for Linear Logic , LDP séminar, Marseilles, January 2014.
• Weak topologies for Linear Logic Workshop SD14 (peer-reviewed workshop), Vienna, July 2014. The abstract.
• Linearity and Differentiation,PhD' Student' Semainar, LIAFA and PPS, Paris, November 2013
• Logique Linéaire et Analyse fonctionnelle, 13th forum for young mathematicians, Lyon, November 2013.
• Complete spaces and Differential Linear Logic, GDT sémantique, PPS, June 2013.

Internships

• Master's thesis, under the direction of C. Tasson et PPS. Here are the slides. Beware that the main result of this report is false, because of an error in the adaptation of Hahn-Banach's theorem.
• Report on the M1 internship, supervised by R. Blute at Ottawa's University.
• Report on the L3 internship, supervised by F. Wagner at the University of Lyon.

Education

• 2014- : PhD thesis under the direction of Thomas Ehrhard at IRIF, Université Paris Diderot.
• March 2016-November 2016 : Maternity leave
• November 2015-April 2016 : Invited researcher in the PLS group at the IT University of Copenhagen
• July 2014-November 2015 : Maternity leave
• 2013-2014 : Internship at PPS, under the direction of Christine Tasson.
• 2012-2013 : Master MPRI, Université Paris Diderot. Rank 6/41.
• June 2012 - July 2012 : Research Internship with R. Blute, University of Ottawa.
• 2011-2012 : First year of Master in advanced mathematics, ENS Lyon.
• June 2011 - July 2011 : Research Internship with F. Wagner, Université Lyon 1.
• 2010-2012 : B.Sc in advanced mathematics, ENS Lyon.
• 2007-2010 : Preparatory classes to Grandes Ecoles, Lycée Louis Le Grand, Paris.

Contact

kerjean[at]irif.fr
Bureau 119
LS2N, premier étage Batiment 11 ,
UFR Sciences et Techniques
2, rue de la Houssinière,
44000 Nantes
France