CURRICULUM VITAE, JANUARY Born: September 17th, 1973, in Millau (France). Citizenship: French.

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1 CURRICULUM VITAE, JANUARY 2015 Bertrand Toën Université de Toulouse, CNRS Institut de Mathématiques de Montpellier 118, route de Narbonne Toulouse Cedex 9 France bertrand.toen@math.univ-toulouse.fr Born: September 17th, 1973, in Millau (France). Citizenship: French. Education: 1991 Baccalauréat Toulouse. June 1996 Master in Pure Mathematics Université de Toulouse 3 June 1999 Thèse de docotorat (Ph. D.) Université de Toulouse 3 May 2003 Habilitation à diriger les recherches (Habilitation thesis) Université de Nice. Academic positions : Postdoc at Max Planck Institute für Mathematik in Bonn : Chargé de recherches au C.N.R.S. (permanent research position) in Laboratoire J.A. Dieudonné (Nice) : Chargé de recherches au C.N.R.S. (permanent research position) in Laboratoire Emile Picard (Toulouse) : Directeur de recherches au C.N.R.S. (senior permanent research position) in Institut de Mathématiques et de Modélisation de Montpellier. Since January 2015: Directeur de recherches au C.N.R.S. (senior permanent research position) in Institut de Mathématiques de Toulouse. Research interests: Algebraic Geometry, Algebraic Topology, Category Theory. Some distinguished lectures: Premier congrès de la Société Mathématique de France, plenary talk, Tours, June International Congress of Mathematicians, 45min lecture (section 4: Algebraic and Complex Geometry), Seoul, August Algèbre, Géométrie et Physique : une conférence en l honneur de Maxim Kontsevich, IHES, Paris June Colloquium de l institut Mathématiques de Jussieu, Paris, Mars Samuel Eilenberg Centenary Conference, plenary lecture, Warsaw, July

2 2 CURRICULUM VITAE, JANUARY 2015 Colloque Solstice, Paris, Juin Derived Algebraic Geometry and Quantization, Whittemore Lectures, Yale University December Non-Abelian Hodge theory, Aspects de la géométrie algébrique: la prospérité mathématique de Grothendieck, IHES - Paris, January Grants: DAGIT: Research grant in context of labex CIMI ( ). HODAG: I have been the main coordinator of the grant HODAG (Hodge theory and derived algebraic geometry), ANR-09-BLAN-0151 (second coordinator C. Simpson), for the period: GDR: I am member of the GDR algebraic topology and algebraic geometry. Administration: Editorial works: I am currently an editor for Astérisque, Journal of the EMS and Annales de la Faculté des Sciences de Toulouse. Research administration: : Director of the pure math section ( équipe GTA, 39 permanent members) of the Institut de Mathématiques et de Modélisations de Montpellier. Since 2015: member of the comité national du CNRS, section 41. Students: M. Anel: thesis defended in June 2006 (Toulouse). Presently Postdoc at Paris 7. F. Marty: thesis defended in July 2009 (Toulouse). Presently teacher in the French school system. J. Wallbridge: thesis defended in July (Toulouse). Presently Postdoc at IPMU - Tokyo. A. Blanc: thesis defended in July 2013 (Montpellier). Presently Postdoc at MPIM-Bonn. M. Roballo: thesis defended in July 2014 (Montpellier). Presently Maitre de conférences at Paris 6. B. Hennion: thesis defended in July 2015 (Montpellier). Presently Postdoc at MPIM-Bonn. S. Bach: third year PhD student in Montpellier. Publications: References [1] Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford. K-theory 18, 1999, No. 1, [2] On motives for Deligne-Mumford stacks. Internat. Math. Res. Notices 2000, No. 17, [3] Vers une interprétation galoisienne de la théorie de l homotopie. Cah. Topol. Géom. Différ. Catég. 43 (2002), no. 4, [4] (join with G. Vezzosi) A remark on K-theory and S-categories. Topology 43 (2004), no. 4, [5] (join with G. Vezzosi) From HAG to DAG: derived moduli stacks. Axiomatic, enriched and motivic homotopy theory, , NATO Sci. Ser. II Math. Phys. Chem., 131, Kluwer Acad. Publ., Dordrecht, [6] (join with J. Kock) Simplicial localization of monoïdal structures and a non linear version of Deligne s conjecture. Compos. Math. 141 (2005), no. 1,

3 CURRICULUM VITAE, JANUARY [7] (join with G. Vezzosi) Homotopical Algebraic Geometry I: topos theory. Adv. Math. 193 (2005), no. 2, [8] Vers une axiomatisation de la théorie des catégories supérieures. K-Theory 34 (2005), no. 3, [9] Champs affines. Selecta Math. (N.S.) 12 (2006), no. 1, [10] Derived Hall algebras. Duke Math. J. 135 (2006), no. 3, [11] The homotopy theory of dg-categories and derived Morita theory. Invent. Math. 167 (2007), no. 3, [12] (join with Vezzosi) Brave new algebraic geometry. Elliptic cohomology, , London Math. Soc. Lecture Note Ser., 342, Cambridge Univ. Press, Cambridge, [13] (join with M. Vaquié) Moduli of objects in dg-categories. Ann. Sci. Ecole Norm. Sup. (4) 40 (2007), no. 3, [14] (join with G. Vezzosi) Homotopical algebraic geometry II: Geometric stacks and applications. Mem. Amer. Math. Soc. 193 (2008), no. 902, x+224 pp. [15] (join with L. Katzarkov et T. Pantev) Schematic homotopy types and non abelian Hodge theory, Compos. Math. 144 (2008), no. 3, [16] Anneaux de définition des dg-algèbres propres et lisses. Bull. Lond. Math. Soc. 40 (2008), no. 4, [17] (avec M. Vaquié) Algébrisation des variétés analytiques complexes et catégories dérivées. Math. Ann. 342 (2008), no. 4, [18] Finitude homotopique des dg-algèbres propres et lisses. Proc. Lond. Math. Soc. (3) 98 (2009), no. 1, [19] (join with M. Anel) Dénombrabilité des classes d équivalences dérivées des variétés algébriques. J. Algebraic Geom. 18 (2009), no. 2, [20] Higher and derived stacks: a global overview. Algebraic geometry - Seattle Part 1, , Proc. Sympos. Pure Math., 80, Part 1, Amer. Math. Soc., Providence, RI, [21] (join with L. Katzarkov et T. Pantev) Algebraic and topological aspects of the schematization functor. Compos. Math. 145 (2009), no. 3, [22] (join with M. Vaquié) Under SpecZ. J. K-Theory 3 (2009), no. 3, [23] (join with G. Vezzosi) Note of Chern character, loop spaces and derived algebraic geometry. Algebraic topology, , Abel Symp., 4, Springer, Berlin, [24] Simplicial presheaves and derived algebraic geometry. Simplicial methods for operads and algebraic geometry, , Adv. Courses Math. CRM Barcelona, Birkhäuser/Springer Basel AG, Basel, [25] Lectures on dg-categories. Topics in algebraic and topological K-theory, , Lecture Notes in Math., 2008, Springer, Berlin, [26] Descente fidèlement plate pour les n-champs d Artin. Compos. Math. 147 (2011), no. 5, [27] (join with G. Vezzosi) Algèbres simpliciales S 1 -équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs. Compos. Math. 147 (2011), no. 6, [28] Derived Azumaya algebras and generators for twisted derived categories. Invent. Math. 189 (2012), no. 3, [29] (join with T. Schürg et G. Vezzosi) Reduced obstruction theory for the stack of stable maps to a K3-surface via derived algebraic geometry. To appear in Crelles. [30] (join with T. Pantev, G. Vezzosi et M. Vaquié) Shifted symplectic structures. Publ. Math. Inst. Hautes Études Sci. 117 (2013), [31] (join with G. Vezzosi) Infinie-catégories monoïdales rigides et caractères de Chern. To appear in Selecta. [32] Derived Algebraic Geometry. EMS Surv. Math. Sci. 1 (2014), no. 2, [33] Derived Algebraic Geometry and Deformation Quantization. Proceedings of the ICM Invitations to conferences (1) International conference on intersection theory, Bologne, December (2) Algebraic cycles, Columbus, December (3) Orbifold String Theory, Madison, May 2001.

4 4 CURRICULUM VITAE, JANUARY 2015 (4) Stacks, intersection theory and non ablian Hodge theory, MSRI, Berkeley January (5) Great Lake K-theory Conference 8, Urbana-Champaign, April (6) Intersection theory and Moduli, Trieste, September (7) Axiomatic, enriched and motivic homotopy theory, Cambridge, September (8) Moduli, Lie theory and interactions with physics, Cortona, June (9) Homotopy Theory and its Applications, London Ontario, September (10) Theory of motives, homotopy theory of varieties, and dessins d enfants, Palo Alto, April (11) N-Categories, fondations and applications, Minneapolis, June (12) Groupoids and Stacks in Physics and Geometry, Luminy, June (13) 24th Nordic and 1st Franco-Nordic Congress of Mathematicians, Reykjavik, January (14) Algebraic Geometry and Categories, On the occasion of André Hirschowitz s 61st birthday, Nice, June (15) Conference on Algebraic Topology, Cracow, June (16) The Arithmetic of Structured Ring Spectra, Rosendal (Norway), August (17) Summer Institute in Algebraic Geometry, Seattle, July (18) EMS-SCM Joint Mathematical Weekend, Barcelona, September (19) Mathematics and its applications, SMF-UMI joint meeting, Turin, July (20) Développements récents de la théorie des algèbres de Hall, CIRM, Luminy, November (21) Géométrie algébrique sur le corps à un élément, IHES, Paris, March (22) Derived categories, non commutative geometry and strings, Dublin, April (23) Stacks in geometry and topology, Toronto, May (24) Interactions with algebraic geometry, Firenze, May-June (25) Conférence de géométrie algébrique (en l honneur du soixantième anniversaire d Arnaud Beauville), Paris, June (26) The Abel Symposium, Oslo, August (27) Categorical aspects of algebraic geometry in mirror symmetry, RIMS, Kyoto, Décember (28) New connections of representation theory to algebraic geometry and physics, IAS, Princeton, March (29) Conférence de mathématiques du cycle scientifique du Cinquantenaire de l IHES, IHES, Paris, May (30) Homotopical Group Theory and Topological Algebraic Geometry, Conference in honour of Haynes Miller, on the occasion of his 60th birthday, Bonn, June (31) Homotopy Structures in Geometry and Algebra; Derived Categories, Higher Categories, CRM, Barcelona, July (32) Workshop on triangulated categories, Swansea, Décember (33) Aspects de la géométrie algébrique: la postérité mathématique de Grothendieck, IHES, January 2009.

5 CURRICULUM VITAE, JANUARY (34) Noncommutative Geometry, Arithmetic and Related Topics, Baltimore, March (35) Topological Field Theory, Evanston, May (36) New directions in the model theory of fields, Durham, July (37) Derived Categories in Algebra, Topology and Geometry, Leicester, September (38) Workshop on mirror symmetry, Miami, January (39) Derived categories Tokyo, January (40) Espaces, groupes et algèbres de lacets, CIRM, Luminy, May-June (41) Arakelov geometry and K-theory: On the occasion of C. Soulé s 60th birthday, Toulouse, May (42) Rencontre GAC, CIRM, Luminy, January (43) Conference on Homological Mirror Symmetry, Miami, January (44) Third Latin Congress on Symmetries in Geometry and Physics, Maranhao, February (45) Operads and deformation theory, Cambridge, April (46) The Geometry of Topological D-branes, Categories and Applications, ESI, Vienna, June (47) Conférence en l honneur de Georges Malstiniotis, Paris, June (48) Colloque Solstice 2013, Paris, June (49) Eilenberg Centenary Conference, Warsaw, July (50) Derived Algebraic Geometry - Winter School, Flumserberg, November (51) Simpson 50: A conference in honor of Carlos Simpson s fiftieth birthday, Paris, IHP, Décember (52) Algèbre, Géométrie et Physique : une conférence en l honneur de Maxim Kontsevich, IHES, Paris June (53) Internation Congress of Mathematicians ( 45), Seoul, August (54) 6th French Philosophy of Mathematics Workshop. Toulouse, October (55) Higher Structures 2014 Genève, October (56) Summer school on geometric Langlands and derived algebraic geometry, CIRM, Luminy, April (57) Warwick EPSRC Symposium: Symplectic Techniques in Derived Algebraic Geometry Warwick, April (58) GAPXIII: Séminaire itinérant de Géométrie et Physique, IBS, Pohang, July (59) Workshop on Derived structures in geometry and representation theory, Oxford, August (60) Motives and Automorphic Forms, Oxford, September (61) Topos à l IHES, IHES, Novemver (62) Algebra and Geometry meeting, Barcelona, December (63) Triangulated Categories in Algebra, Geometry and Topology, Stuttgart, March (64) Topology of complex algebraic varieties, Luminy, May (65) SMF 2016, Tours, June (66) Summer school on symplectic topology, sheaves and mirror symmetry, IMJ, Paris, July (67) Poisson 2016, Zurich-Geneva, July Advanced courses

6 6 CURRICULUM VITAE, JANUARY 2015 (1) Non-abelian cohomology, 6h, MSRI, Berkeley Janvier (2) Homotopical algebraic geometry, 10h, Essen Octobre (3) Lectures on dg-categories, 4h, Sedano Janvier (4) Simplicial presheaves and derived algebraic geometry, 9h, CRM, Barcelona Février (5) Dg-categories, 4h, Padova Avril (6) Introduction to derived algebraic geometry, 4h, Caesarea (organisé par l université de Jerusalem), Juin (7) Introduction to derived algebraic geometry, 3h, Grenoble (GAEL XX), Mai (8) Shifted symplectic structures, 3h, Luminy, Février (9) Derived Algebraic Geometry - Winter School, Flumserberg, November (10) The XIVth Summer Lectures in Geometry, Lisboa, Juin (11) Summer school on geometric Langlands and derived algebraic geometry, CIRM, Luminy, Avril (12) Triangulated Categories in Algebra, Geometry and Topology, Stuttgart, March 2016.

CURRICULUM VITAE, JANUARY Born: September 17th, 1973, in Millau (France). Citizenship: French.

CURRICULUM VITAE, JANUARY Born: September 17th, 1973, in Millau (France). Citizenship: French. CURRICULUM VITAE, JANUARY 2018 Bertrand Toën Université de Toulouse, CNRS Institut de Mathématiques de Toulouse 118, route de Narbonne 31062 Toulouse Cedex 9 France e-mail: bertrand.toen@math.univ-toulouse.fr

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