frederic.jaeck@math.cnrs.fr
Département de mathématiques et applications
École normale supérieure
45, rue d’Ulm
75005 Paris
RESEARCH AREAS
History and Philosophy of Mathematics
Functional analysis 19-20th century
Operator theory
Theory of dual algebras (after 1970)
Emergence of structures in analysis
Role played by operators in some general approaches
History of operator theory
Order, axiom of choice
Dynamics involved in the production of general statements
Generality
Abstraction
Some authors I study : Gregory, Jellett, Mittag-Leffler, Volterra, Hadamard, Fréchet, Hilbert, Riesz, Banach
Mathematics
Operator theory
Dual algebras (N-uples)
Semigroupoid of partial isometries
Graph Algebras
Reflexivity and hyper-reflexivity
Similarity problems
ACADEMIC RESPONSABILITIES
Seminar ’Lectures grothendieckiennes’
Département de mathématiques de l’École normale supérieure de Paris
See seminar website for details : http://www.math.ens.fr/seminaire_G/
Organizer : fjaeck@ens.fr
Laboratoire DMA, CNRS UMR 8553, École normale supérieure
Work Group W_19-20
History-Philosophy-Mathematics 19th-20th centuries
SPHère, Université Paris Diderot
Organizers : Frédéric Jaëck, Nicolas Michel, Ivahn Smadja
Laboratoire SPHère, CNRS UMR 7219
Chief Editor of CultureMath at the ENS, Paris
http://culturemath.ens.fr/
SELECTED PUBLICATIONS
PUBLICATIONS (Peer reviewed)
- Guerraggio A., Jaëck F., Mazliak L. (2016) Lines on the Horizon. In : Brechenmacher F., Jouve G., Mazliak L., Tazzioli R. (eds) Images of Italian Mathematics in France. Trends in the History of Science. Birkhäuser, Cham
- Jaëck, Frédéric. Generality and structures in functional analysis : the influence of Stefan Banach. The Oxford handbook of generality in mathematics and the sciences, 223–254, Editors : K. Chemla, R. Chorlay, D. Rabouin, Oxford Univ. Press, Oxford, 2016.
- Jaëck, Frédéric. Éléments structurels en analyse fonctionnelle : trois notes de Fréchet sur les opérations linéaires. Arch. Hist. Exact Sci. 64, no. 4, 461—483, 2010.
- Constantin, Olivia ; Jaëck, Frédéric. A joint similarity problem on vector-valued Bergman spaces. J. Funct. Anal. 256, no. 9, 2768—2779, 2009.
- Jaëck, Frédéric ; Power, Stephen C. Hyper-reflexivity of free semigroupoid algebras. Proc. Amer. Math. Soc. 134, no. 7, 2027—2035, 2006.
- Jaëck, Frédéric. N-tuples in the class and factorization properties. J. Funct. Anal. 189, no. 2, 469—474, 2002.
- Jaëck, Frédéric. Dual algebras with a rich set of w∗-continuous characters. An. Univ. Timişoara Ser. Mat.-Inform. 39, no. 2, 87—97, 2001.
- Chalendar, Isabelle ; Jaeck, Frédéric. On the contractions in the classes . J. Operator Theory 38, no. 2, 265—296, 1997.
PREPRINTS
- Correspondance Mittag-Leffler / Volterra. With L. Mazliak, R. Tazzioli, E. Sallent Del Colombo. Contract of edition with EMS, collection
Heritage of European Mathematics (2018)
- Jaëck, Frédéric. Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen. Translation and notes.
- Jaëck, Frédéric. Le travail de D.F. Gregory sur l’Algèbre Symbolique dans l’Histoire du Calcul Fonctionnel, preprint.
- Jaëck, Frédéric. Le rôle des fonctionnelles dans une approche générale chez S. Banach, preprint, submitted to RHM.
- Jaëck, Frédéric. Transposition du calcul différentiel ordinaire aux substitutions chez Volterra, preprint, sumitted to HM.
- Jaëck, Frédéric. La notion de fonction comme paradigme général dans le travail de Volterra, preprint.
- Jaëck, Frédéric. M. Fréchet et les fonctions de lignes de Volterra, preprint.
EDUCATION
PhD History and Philosophy of Mathematics
Université Paris 7 and Laboratoire SPHERE (2015)
PhD Mathematics
Université de Bordeaux (1997)
Agrégation de maths