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Research

Research topics: Algebraic Geometry and Representation Theory.

Preprints:

  • Rigidity of equivariant Schubert classes.
    with A. Buch and P.-E. Chaput -- 2024, PDF
  • Quantum K-theory of IG(2,2N).
    with V. Benedetti and W. Xu -- 2024, PDF
  • Seidel and Pieri products in cominuscule quantum K-theory.
    with A. Buch and P.-E. Chaput -- 2023, PDF
  • Minimal rational curves on complete symmetric varieties.
    with M. Brion and S. Kim -- 2023, PDF
  • Cohomology of hyperplane sections of (co)adjoint varieties.
    with V. Benedetti -- 2022, PDF
  • Positivity of minuscule quantum K-theory.
    with A. Buch, P.-E. Chaput and L. Mihalcea -- 2022, PDF
  • On the big quantum cohomology of coadjoint varieties.
    with M. Smirnov -- 2021, PDF
  • Rational curves on V5 and rational simple connectedness.
    with A. Fanelli and L. Gruson -- 2019, PDF
  • Semisimple quantum cohomology of some Fano varieties.
    2014, arxiv

Publications:

  • Affine symmetries in quantum cohomology: corrections and new results.
    with P.-E. Chaput -- Math. Research Letters , 30 (2023), no. 2, 341–374. arxiv
  • Geometry of horospherical varieties of Picard rank one.
    with R. Gonzales, C. Pech and A. Samokhin -- IMRN (2021). arxiv
  • Stability of Bott—Samelson Classes in Algebraic Cobordism.
    with T. Hudson and T. Matsumura -- Springer Proc. Math. Stat., 332 (2020) 281–306. Schubert calculus and its applications in combinatorics and representation theory. arxiv
  • Sanya lecure : geometry of spherical varieties.
    Acta Math. Sin. (Engl. Ser.) 34 (2018), no. 3, 371–416. arxiv
  • A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties.
    with A.S. Buch, P.-E. Chaput and L. Mihalcea -- Algebr. Geom. 5 (2018), no. 5, 568–595. arxiv
  • On quantum cohomology of Grassmannians of isotropic lines, unfoldings of A_n-singularities, and Lefschetz exceptional collections.
    with J. A. Cruz Morales, A. Mellit, M. Smirnov and an appendix by A. Kuznetsov -- Ann. Inst. Fourier 69 (2019), no. 3, 955–991. arxiv
  • Closures of B-conjugacy classes of 2-nilpotent matrices have rational singularities.
    with M. Bender -- Transform. Groups 24 (2019), no. 3, 741–768. arxiv
  • Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians.
    with J. Hornbostel -- Pacific J. Math. 294 (2018), no. 2, 401–422. arxiv
  • Projected Gromov-Witten varieties in cominuscule spaces.
    with A. Buch, P.-E. Chaput and L. Mihalcea -- Proc. Amer. Math. Soc. 146 (2018), no. 9, 3647–3660. arxiv
  • Rational connectedness implies finiteness of quantum K-theory.
    with A. Buch, P.-E. Chaput and L. Mihalcea -- Asian Journal of Mathematics 20 (2016), no. 1, 117–122. arxiv
  • Spherical multiple flag varieties.
    with P. Achinger -- In Schubert Calculus – Osaka 2012. Advanced Studies of Pure Mathematics vol. 71, 2017. arxiv
  • Split subvarieties of group embeddings.
    Transactions of the AMS 367 (2015), no. 12, 8421–8438. arxiv
  • Spherical varieties and Wahl’s conjecture.
    Ann. Inst. Fourier 64 (2014), no. 2, 739–751. arxiv
  • On the geometry of spherical varieties.
    Transform. Groups 19 (2014), no.1, 171–223. arxiv
  • Formal properties in small codimension.
    with Jorge Caravantes -- Collectanea Mathematica 65 (2014), no. 2, 251–256. arxiv
  • Elliptic curves on some homogeneous spaces.
    with B. Pasquier -- Doc. Math 18 (2013), 679–706. arxiv
  • Finiteness of cominuscule quantum K-theory.
    with A. Buch, P.-E. Chaput and L.C. Mihalcea -- Annales de l’ENS 46 (2013) no.3, 477–494. arxiv
  • Elliptic curves on the spinor varieties.
    Cent. Eur. J. Math. 10 (2012), no. 4, 1393–1406. arxiv
  • Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces.
    with P.-E. Chaput -- J. Lie Theory 22 (2012), no. 1, 17–80. arxiv
  • Springer fiber components in the two columns case for types A and D are normal.
    with E. Smirnov -- Bulletin de la SMF 140 (2012) no. 3, 309–333. arxiv Erratum .
  • Study of some orthosymplectic Springer fibers.
    with S. Leidwanger -- J. Algebra 335 (2011), 83–95. arxiv
  • On the quantum cohomology of adjoint varieties.
    with P.-E. Chaput -- Proc. LMS (3) 103 (2011), no. 2, 294–330. arxiv
    See also the companion file .
  • Rationality of some Gromov-Witten varieties and application to quantum K-theory.
    with P.-E. Chaput -- Commun. Contemp. Math. 13 (2011), no. 1, 67–90. arxiv
  • Local rigidity of quasi-regular varieties.
    with B. Pasquier -- Math. Zeit. 265 (2010), no. 3, 589–600. arxiv
  • Quantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences.
    with P.-E. Chaput and L. Manivel -- Canad. J. Math. 62 (2010), no. 6, 1246–1263. arxiv
  • Small codimension subvarieties in homogeneous spaces.
    Indag. Math. (N.S.) 20 (2009), no. 4, 557–581. arxiv
  • Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces.
    with P.-E. Chaput and L. Manivel -- Mathematical Research Letters 16 (2009), 7–21. arxiv
  • Gorenstein locus of minuscule Schubert varieties.
    Advances in Math. 220 (2009), no. 2, 505–522. arxiv
  • Quantum cohomology of minuscule homogeneous spaces.
    with P.-E. Chaput and L. Manivel -- Transform. Groups 13 (2008), no. 1, 47–89. arxiv
  • Quantum cohomology of minuscule homogeneous spaces II: hidden symmetries.
    with P.-E. Chaput and L. Manivel -- IMRN 2007, no. 22. arxiv
  • Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group Z.
    CRAS 345 (2007), no. 3, 155–160.
  • Small resolutions of minuscule Schubert varieties.
    Compositio Math. 143 (2007), 1255–1312.
  • Rational curves on minuscule Schubert varieties.
    J. Algebra 294 (2005), no. 2, 431–462.
  • Courbes de genre 5 munies d’une involution sans point fixe.
    with J. Almeida and L. Gruson -- J. London Math. Soc. (2) 72 (2005), no. 3, 545–570.
  • Déformations de fibrés vectoriels sur les variétés de dimension 3.
    Manuscripta Math. 116 (2005), no. 4, 449–474.
  • Rational curves on homogeneous cones.
    Doc. Math. 9 (2004), 623–637 (electronic).
  • Deux composantes du bord de $I_3$.
    Bulletin de la SMF 130 (2002), no. 4, 537–572.
  • Limites de fibrés vectoriels dans $M_Q_3(0,2,0)$.
    CRAS 334 (2002), no. 9, 779–782.
  • Courbes rationnelles sur les variétés homogènes.
    Ann. Inst. Fourier 52 (2002), no. 1, 105–132.
  • Lieu singulier des surfaces rationnelles réglées.
    Math. Zeit. 241 (2002), no. 2, 375–396.
  • Une composante du bord des instantons de degré 3.
    CRAS 330 (2000), no. 3, 217–220.

Habilitation Thesis: PDF