Thierry Coulhon has a long track record in higher education and research.

Agrégé in mathematics (1981), he holds a DEA in the history and philosophy of science (University of Paris I, 1985) and a habilitation to direct research in mathematics (University of Paris VI, 1991). Thierry Coulhon has held several academic management positions during his career, both in France and internationally. He was President of University of Cergy-Pontoise (2004-2008), Director of the Mathematical Sciences Institute of the Australian National University in Canberra (2012-2015) and President of Paris Sciences et Lettres (2015-2017).

He also served as Special Advisor, and later on as Deputy Director, to Valérie Pécresse, former Minister of Higher Education and Research (from 2008 to 2010). He was Director of the "Centers of Excellence" program at the Commissariat Général à l'Investissement (from February 2010 to August 2012). He was then appointed Education, Higher Education, Research and Innovation Advisor in the office of French President Emmanuel Macron (from June 2017 to October 2020).

Since November 2020, he has been president of the Haut Conseil de l'évaluation de la recherche et de l'enseignement supérieur (Hcéres).

64 | Regularity of non-linear semigroups, theory and applications, with Daniel Hauer, https://arxiv.org/abs/1604.08737, 199 pp., in revision

63 | “Riesz transforms for bounded Laplacians on graphs”, with Chen Li and Hua Bobo, Math. Z., 294, 1-2, 2020, pp.397-417

62 | “Gradient estimates for heat kernels and harmonic functions”, with Renjin Jiang, Pekka Koskela, and Adam Sikora, J. Funct. Anal., 278, 8, 2020, 67 pp., 108398

61 | “Gaussian heat kernel estimates: from functions to forms”, with Baptiste Devyver and Adam Sikora, J. Reine Angew. Math., 761, 2020, pp.25-79

60 | “Sobolev algebra counterexamples”, with Luke Rogers, J. Fractal Geom., 5, 2, 2018, p.143-164

59 | “Riesz transform for 1 ≤p≤ 2 without Gaussian heat kernel bound”, with Chen Li, Joseph Feneuil, and Emmanuel Russ, J. Geometric Anal., 27, 2, 2017, pp.1489-1514

58 | “Sobolev algebras through heat kernel estimates”, with Frédéric Bernicot and Dorothee Frey, J. Éc. Polytech. Math., 3, 2016, pp.99-161

57 | “Gaussian heat kernel bounds through elliptic Moser iteration”, with Frédéric Bernicot and Dorothee Frey, J. Math. Pures et Appl., 9, 106, 6, 2016, pp.995-1037

56 | “A new approach to heat kernel pointwise upper bounds on doubling metric measure spaces”, with Salahaddine Boutayeb and Adam Sikora, Adv. in Math., 270, 2015, pp.302-374

55 | “Heat kernel generated frames in the framework of Dirichlet spaces”, with G. Kerkyacharian and P. Petrushev, J. Fourier Anal. Appl., 18, 5, 2012, pp.995-1066

54 | “Riesz meets Sobolev”, with Adam Sikora, Colloq. Math., 118, 2010, pp.685-704

54bis | “Heat kernel estimates, Sobolev-type inequalities and Riesz transform on non-compact Riemannian manifolds”, in Analysis and Geometry of Metric Measure Spaces: Lecture Notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, 2011, CRM Proc. and Lecture Notes, vol. 56, 2013

53 | “Riesz transform and perturbation”, with Nicholas Dungey, J. Geometric Anal., 17, 2, 2007, pp.213-226

52 | “Gaussian heat kernel bounds via Phragmén-Lindelöf theorem”, with Adam Sikora, Proc. London Math. Soc., 3, 96, 2008, pp.507-544

51 | “Ultracontractivity and embedding into L^∞”, with Alexander Bendikov and Laurent Saloff-Coste, Math. Annal., 337, 2007, pp.817-853

50 | “Large time behavior of heat kernels on forms”, with Qi Zhang, J. Diff. Geom., 77, 2007, pp.353-384

49 | “Riesz transform on manifolds and Poincaré inequalities”, with Pascal Auscher, Ann. Sc. Norm. Sup. Pisa, (5), IV, 3, 2005, pp.531-555

48 | “Riesz transform and L^p cohomology for manifolds with Euclidean ends”, with Gilles Carron and Andrew Hassell, Duke Math. J., 133, 1, 2006, pp.59-93

47 | “Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs”, with Martin Barlow and Takashi Kumagai, Comm. in Pure and Appl. Math., 58, 12, 2005, pp.1642-1677

46 | “Geometric interpretations of L^p-Poincaré inequalities on graphs with polynomial growth”, with Pekka Koskela, Milan J. Math., 72, 2004, pp.209-248

45 | “The discrete integral maximum principle and its applications”, with Alexander Grigor’yan and Fabio Zucca, Tohoku Math. J., 57, 4, 2005, pp.559-587

44 | “Estimations inférieures du noyau de la chaleur sur les variétés coniques et transformée de Riesz”, with Hong-Quan Li, Archiv der Mathematik, 83, 2004, pp.229-242

43 | “Riesz transform on manifolds and heat kernel regularity”, with Pascal Auscher, Xuan Thinh Duong, Steve Hofmann, Ann. Sc. É.N.S., 37, 2004, pp.911-957

42 | “Off-diagonal heat kernel lower bounds without Poincaré”, J. London Math. Soc., 68, 3, 2003, pp.795-816

41 | “On isoperimetric profiles of product spaces”, with Alexander Grigor’yan and Daniel Levin, Comm. in Anal. and Geom., 11, 1, 2003, pp.85-120

41bis | “Heat kernel and isoperimetry on non-compact Riemannian manifolds”, in Heat kernels and analysis on manifolds, graphs and metric spaces, P. Auscher, T. Coulhon, A. Grigor’yan ed., Contemporary Mathematics 338, A.M.S., 2004, pp.65-99

40 | “Littlewood-Paley-Stein functions on complete Riemannian manifolds for 1 ≤p≤ 2”, with Xuan Thinh Duong and Xiang-Dong Li, Studia Math., 154, 1, 2003, pp.37-57

39 | “Riesz transform and related inequalities on non-compact Riemannian manifolds”, with Xuan Thinh Duong, Comm. in Pure and Appl. Math., 56, 12, 2003, pp.1728-1751

39bis | “Riesz transforms for p > 2”, with Xuan Thinh Duong, Comptes rendus Acad. sc. Paris, t.332, 11, série I, 2001, pp.975-980

38 | “Subexponential ultracontractivity and L^p - L^q functional calculus”, with Stefano Meda, Math. Z., 244, 2003, pp.291-308

37 | “A geometric approach to on-diagonal heat kernel lower bounds on groups”, with Alexander Grigor’yan and Christophe Pittet, Ann. Inst. Fourier, 51, 6, 2001, pp.1763-1827

37bis | “Pointwise estimates for transition probabilities of random walks on infinite graphs”, with Alexander Grigor’yan, in Fractals in Graz 2001, Analysis-Dynamics-Geometry-Stochastics, Grabner, Woess, ed., Birkhaüser, 2003, pp.119-134

36 | “Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type theorems”, with Ilkka Holopainen and Laurent Saloff-Coste, Geom. and Funct. Anal., 11, 6, 2001, pp.1139-1191

35 | “Gaussian estimates and L^p-boundedness of Riesz means”, with Gilles Carron and El-Maati Ouhabaz, J. of Evolution Equ., 2, 2002, pp.299-317

34 | “Sobolev algebras on Lie groups and Riemannian manifolds”, with Emmanuel Russ and Valérie Tardivel-Nachef, Amer. J. of Math., 123, 2001, pp.283-342

33 | “Manifolds and graphs with slow heat kernel decay”, with Martin Barlow and Alexander Grigor’yan, Inventiones Math., 144, 3, 2001, pp.609-649

33bis | “Large time behaviour of heat kernels on Riemannian manifolds: fast and slow decays”, Journées équations aux dérivées partielles, St-Jean-de-Monts 1998, II, pp.1-12

33ter | “Estimates for kernels of Markov semigroups and geometry”, Publications Mathématiques de Besançon, 16, 1999, pp.31-40

32 | “Gaussian lower bounds for random walks from elliptic regularity”, with Pascal Auscher, Ann. Inst. Henri Poincaré, proba. stat., 35, 5, 1999, pp.605-630

31 | “Maximal regularity and heat kernel bounds: observations on a theorem by Hieber and Prüss”, with Xuan Thinh Duong, Adv. in Diff. Equ., 5, 2000, pp.343-368

30 | “Random walks on graphs with regular volume growth”, with Alexander Grigor’yan, Geom. and Funct. Anal., 8, 1998, pp.656-701

30bis | “Analysis on infinite graphs with regular volume growth”, in Random walks and discrete potential theory, Picardello, Woess, ed., Symposia Math., XXXIX, Cambridge U.P., 1999, pp.165-187

30ter | “Random walks and geometry on infinite graphs ”, in Lecture notes on analysis on metric spaces, Luigi Ambrosio, Francesco Serra Cassano, ed., Scuola Normale Superiore di Pisa, 2000, pp.5-30

29 | “Riesz transforms for 1 ≤p≤ 2”, with Xuan Thinh Duong, Trans. Amer. Math. Soc., 351, 1999, pp.1151-1169

28 | “On-diagonal lower bounds for heat kernels on non-compact Riemannian manifolds”, with Alexander Grigor’yan, Duke Math. J., 89, 1, 1997, pp.133-199

28bis | “Heat kernels, volume growth and anti-isoperimetric inequalities”, with Alexander Grigor’yan, Comptes rendus Acad. sc. Paris, t. 322, série I, 1996, pp.1027-1032

28ter | “Heat kernels on non-compact Riemannian manifolds: a partial survey”, Séminaire de théorie spectrale et géométrie, 15 (1996-1997), Institut Fourier, 1998, pp.167-187

27 | “Absence de principe du maximum pour certaines équations paraboliques complexes”, with Pascal Auscher and Philippe Tchamitchian, Colloq. Math., 71, 1, 1996, pp.87-95

26 | “Von Neumann spectra near the spectral gap”, with Alan Carey, Varghese Mathai and John Phillips, Bull. Sc. Math., 122, 3, 1998, pp.203-242

25 | “Ultracontractivity and Nash type inequalities”, J. Funct. Anal., 141, 2, 1996, pp.510-539

24 | “About Riesz transforms on the Heisenberg groups”, with Detlef Müller and Jacek Zienkiewicz, Math. Annal., 305, 1996, pp.369-379

23 | “Dimensions at infinity for Riemannian manifolds”, Potential Analysis, 4, 4, 1995, pp.335-344

22 | “Sobolev inequalities in disguise”, with Dominique Bakry, Michel Ledoux, and Laurent Saloff-Coste, Indiana Univ. Math. J., 44, 4, 1995, pp.1033-1074

21 | “Espaces de Lipschitz et inégalités de Poincaré”, J. Funct. Anal., 136, 1, 1996, pp.81-113

20 | “Variétés riemanniennes isométriques à l’infini”, with Laurent Saloff-Coste, Rev. Mat. Iberoamericana, 11, 3, 1995, pp.687-726

19 | “Isopérimétrie, décroissance du noyau de la chaleur et transformations de Riesz: un contre-exemple”, with Michel Ledoux, Arkiv Mat., 32, 1994, pp.63-77

19bis | “Sobolev inequalities on graphs and manifolds”, in Harmonic Analysis and Discrete Potential Theory, Picardello ed., Plenum Press, 1992, pp.207-214

18 | “Minorations pour les chaînes de Markov unidimensionnelles”, with Laurent Saloff-Coste, Probability Th. Rel. F., 97, 1993, pp.423-431

17 | “Isopérimétrie pour les groupes et les variétés”, with Laurent Saloff-Coste, Rev. Mat. Iberoamericana, 9, 2, 1993, pp.293-314

16 | “Inégalités de Gagliardo-Nirenberg pour les semi-groupes d’opérateurs et applications”, Potential Analysis, 1, 1992, pp.343-353

15 | “Quelques remarques sur la régularité L^p du semi-groupe de Stokes”, with Damien Lamberton, Comm. in Partial Diff. Equ., 17, 1& 2, 1992, pp.287-304

14 | Analysis and Geometry on Groups, N. Varopoulos, L. Saloff-Coste, T. Coulhon, Cambridge Tracts in Mathematics, no 100, Cambridge University Press, 156 p., 1993

13 | “Noyau de la chaleur et discrétisation d’une variété riemannienne”, Israël J. Math., 80, 1992, pp.289-300

12 | “Marches aléatoires non symétriques sur les groupes unimodulaires”, with Laurent Saloff-Coste, Comptes rendus Acad. sc. Paris, t. 310, série I, 1990, pp.627-630

11 | “Itération de Moser et estimation gaussienne du noyau de la chaleur”, Jour. Operator Th., 29, 1993, pp.157-165

10 | “Dimensions of continuous and discrete semigroups on the L^p spaces”, in Semigroup theory and evolution equations, Clément, Mitidieri, De Pagter ed., Marcel Dekker L. N. in Pure and Appl. Math., vol. 135, 1991, pp.93-99

9 | “Puissances d’un opérateur régularisant”, with Laurent Saloff-Coste, Ann. Inst. Henri Poincaré, proba. stat., vol. 26, no 3, 1990, pp.419-436

8 | “Dimension à l’infini d’un semi-groupe analytique”, Bull. Sc. Math., 114, 4, 1990, pp.485-500

7 | “Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie”, with Laurent Saloff-Coste, Jour. Approximation Th., vol. 65, no 2, 1991, pp.176-199

7bis | “Théorèmes de Sobolev pour les semi-groupes d’opérateurs et application aux groupes de Lie unimodulaires”, with Laurent Saloff-Coste, Comptes rendus Acad. sc. Paris, t. 309, série I, 1989, pp.289-294

6 | “Social choice theory in the case of Von Neumann-Morgenstern utilities”, with Philippe Mongin, Social Choice and Welfare, 6, 1989, pp.175-187

5 | “Régularité L^p pour les équations d’évolution”, with Damien Lamberton, Séminaire d’Analyse fonctionnelle 84/85, Publ. math. Univ. Paris VII, t. 26, 1987, pp.155-165

4 | “Suites d’opérateurs à puissances bornées dans les espaces ayant la propriété de Dunford-Pettis”, Séminaire d’Analyse Fonctionnelle 84/85, Publ. math. Univ. Paris VII, t.26, 1987, pp.141-153

3 | “Convergence vers l’identité de suites d’opérateurs définis sur L(H)”, with Yves Raynaud, Comptes rendus Acad. sc. Paris, t. 301, série I, 4, 1985, pp.111-113

2 | Semi-groupes d’opérateurs et suites de contractions sur les espaces L^∞ ou C(K), thèse de 3ème cycle, Université Paris VI, June 1984, 60 pp.

2bis | “Approximation forte et uniforme de l’identité sur les espaces C(K)”, Séminaire d’Analyse Fonct. 83/84, Publ. math. Univ. Paris VII, t.20, 1985, pp.117-121

1 | “Suites d’opérateurs sur un espace C(K) de Grothendieck”, Comptes rendus Acad. sc. Paris, t. 298, série I, 1, 1984, pp.13-15