Research

Research topics: Algebraic Geometry and Representation Theory.

Preprints:

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 , to appear. 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.
On the quantum cohomology of adjoint varieties.
with P.-E. Chaput -- Proc. Lond. Math. Soc. (3) 103 (2011), no. 2, 294–330. 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.
Local rigidity of quasi-regular varieties.
with B. Pasquier -- Math. Zeit. 265 (2010), no. 3, 589–600.
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.
Small codimension subvarieties in homogeneous spaces.
Indag. Math. (N.S.) 20 (2009), no. 4, 557–581.
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.
Gorenstein locus of minuscule Schubert varieties.
Advances in Math. 220 (2009), no. 2, 505–522.
Quantum cohomology of minuscule homogeneous spaces.
with P.-E. Chaput and L. Manivel -- Transform. Groups 13 (2008), no. 1, 47–89.
Quantum cohomology of minuscule homogeneous spaces II: hidden symmetries.
with P.-E. Chaput and L. Manivel -- IMRN 2007, no. 22.
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