Pramod N. Achar

(with J. Lourenço, T. Richarz, and S. Riche) A modular ramified geometric Satake equivalence.

arXiv | hal

(with J. Lourenço, T. Richarz, and S. Riche) Fixed points under pinning-preserving automorphisms of reductive group schemes.

arXiv | hal

(with W. Hardesty and S. Riche) Conjectures on tilting modules and antispherical p-cells.

arXiv | hal

(with M. Kulkarni and J. Matherne) Combinatorics of Fourier transforms for type A quiver representations.

arXiv

(with S. Makisumi, S. Riche, and G. Williamson) Free-monodromic mixed tilting sheaves on flag varieties.

arXiv | hal

(with S. Riche) A geometric model for blocks of Frobenius kernels.

Arkiv för Matematik, to appear.

arXiv | hal

(with W. Hardesty) Silting complexes of coherent sheaves and the Humphreys conjecture.

Duke Math. J., to appear.

arXiv

(with W. Hardesty) Nilpotent centralizers and good filtrations.

Transform. Groups, to appear.

doi | arXiv

(with S. Riche) Higher nearby cycles and central sheaves on affine flag varieties

J. Singul. 27 (2024), 1–30.

doi | arXiv

(with W. Hardesty) Co-t-structures on derived categories of coherent sheaves and the cohomology of tilting modules.

Represent. Theory 28 (2024), 49–89.

doi | arXiv

(with S. Riche) A geometric Steinberg formula.

Transform. Groups 28 (2023), 1001–1032.

doi | arXiv | hal

(with W. Hardesty and S. Riche) Integral exotic sheaves and the modular Lusztig–Vogan bijection.

J. Lond. Math. Soc. (2) 106 (2022), 2403–2458.

doi | arXiv | hal

(with W. Hardesty and S. Riche) Representation theory of disconnected reductive groups.

Doc. Math 25 (2020), 2149–2177.

doi | arXiv | hal

(with L. Rider) Nearby cycles for parity sheaves on a divisor with simple normal crossings.

J. Singul. 20 (2020), 311–344.

doi | arXiv

How to glue parity sheaves.

J. Singul. 20 (2020), 128–164.

doi | arXiv

(with S. Riche and C. Vay) Mixed perverse sheaves on flag varieties of Coxeter groups.

Canad. J. Math., 72 (2020), 1–55.

doi | arXiv | hal

(with S. Riche) Dualité de Koszul formelle et théorie des représentations des groupes algébriques réductifs en caractéristique positive.

SMF 2018: Congrès de la Société Mathématique de France, Sémin. Congr., vol. 33, 2019, pp. 83–150.

volume | arXiv | hal

(with W. Hardesty) Calculations with graded perverse-coherent sheaves.

Quart. J. Math. 70 (2019), 1327–1352.

doi | arXiv

(with W. Hardesty and S. Riche) On the Humphreys conjecture on support varieties of tilting modules.

Transform. Groups 24 (2019), 597–657.

doi | arXiv | hal

(with A. Henderson, D. Juteau, and S. Riche) Modular generalized Springer correspondence: an overview.

Tsinghua Lectures in Mathematics (L. Ji, Y.-S. Poon, and S.-T. Yau, eds.), Adv. Lect. Math. (ALM), no. 45, Intl. Press, 2019, pp. 77–99.

arXiv | hal

(with S. Makisumi, S. Riche, and G. Williamson) Koszul duality for Kac–Moody groups and characters of tilting modules.

J. Amer. Math. Soc. 32 (2019), 261–310.

doi | arXiv | hal

(with N. Cooney and S. Riche) The parabolic exotic t-structure.

Épijournal Géom. Algébrique 2 (2018). Art. 8, 31 pp.

doi | arXiv | hal

(with S. Riche) Reductive groups, the loop Grassmannian, and the Springer resolution.

Invent. Math., 214 (2018), 289–436.

doi | arXiv | hal

(with S. Riche) Modular perverse sheaves on flag varieties III: positivity conditions.

Trans. Amer. Math. Soc. 370 (2018), 447–485.

doi | arXiv | hal

(with A. Henderson, D. Juteau, and S. Riche) Modular generalized Springer correspondence III: exceptional groups.

Math. Ann. 369 (2017), 247–300.

doi | arXiv | hal

(with A. Henderson, D. Juteau, and S. Riche) Modular generalized Springer correspondence II: classical groups.

J. Eur. Math. Soc. (JEMS) 19 (2017), 1013–1070.

doi | arXiv | hal

(with A. Henderson, D. Juteau, and S. Riche) Constructible sheaves on nilpotent cones in rather good characteristic.

Selecta Math. 23 (2017), 203–243.

doi | arXiv | hal

(with L. Rider, and an appendix joint with S. Riche) The affine Grassmannian and the Springer resolution in positive characteristic.

Compos. Math. 152 (2016), 2627–2677.

doi | arXiv

(with A. Henderson, D. Juteau, and S. Riche) Modular generalized Springer correspondence I: the general linear group.

J. Eur. Math. Soc. (JEMS) 18 (2016), 1405–1436.

doi | arXiv | hal

(with S. Riche, and a joint appendix with G. Williamson) Modular perverse sheaves on flag varieties I: tilting and parity sheaves.

Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), 325–370.

journal | arXiv | hal

(with S. Riche) Modular perverse sheaves on flag varieties II: Koszul duality and formality.

Duke Math. J. 165 (2016), 161–215.

doi | arXiv | hal

(with L. Rider) Parity sheaves on the affine Grassmannian and the Mirković–Vilonen conjecture.

Acta Math. 215 (2015), 183–216.

doi | arXiv

(with C. Mautner) Sheaves on nilpotent cones, Fourier transform, and a geometric Ringel duality.

Mosc. Math. J. 15 (2015), 407–423.

journal | arXiv

On exotic and perverse-coherent sheaves.

Representations of reductive groups: in honor of the 60th birthday of David A. Vogan, Jr. (M. Nevins and P. E. Trapa, eds.), Progr. Math., vol. 312, Birkhäuser/Springer, 2015, pp. 11–49.

doi | arXiv

(with A. Henderson and S. Riche) Geometric Satake, Springer correspondence, and small representations II.

Represent. Theory 19 (2015), 94–166.

doi | arXiv | hal

(with S. Riche) Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone.

Israel J. Math. 205 (2015), 247–315.

doi | arXiv | hal

(with S. Kitchen) Koszul duality and mixed Hodge modules.

Int. Math. Res. Not. IMRN 2014, 5874–5911.

doi | arXiv

(with A. Henderson, D. Juteau, and S. Riche) Weyl group actions on the Springer sheaf.

Proc. Lond. Math. Soc. 108 (2014), 1501–1528.

doi | arXiv | hal

Kostka systems and exotic t-structures for reflection groups.

Recent developments in algebraic and combinatorial aspects of representation theory, Contemp. Math. 602 (2013), 1–21.

doi | arXiv

(with S. Riche) Koszul duality and semisimplicity of Frobenius.

Ann. Inst. Fourier 63 (2013), 1511–1612.

doi | arXiv | hal

(with A. Henderson) Geometric Satake, Springer correspondence, and small representations.

Selecta Math. 19 (2013), 949–986.

doi | arXiv

(with C. Stroppel) Completions of Grothendieck groups.

Bull. Lond. Math. Soc. 45 (2013), 200–212.

doi | arXiv

Perverse coherent sheaves on the nilpotent cone in good characteristic.

Recent developments in Lie algebras, groups and representation theory, Proc. Symp. Pure Math. 86 (2012), 1–23.

doi | arXiv

(with D. Treumann) Purity and decomposition theorems for staggered sheaves.

J. Inst. Math. Jussieu 11 (2012), 695–745.

doi | arXiv

Green functions via hyperbolic localization.

Doc. Math. 16 (2011), 869–884.

journal | arXiv

(with A. Henderson and B. Jones) Normality of orbit closures in the enhanced nilpotent cone.

Nagoya Math. J. 203 (2011), 1–45.

doi | arXiv

(with D. Treumann) Baric structures on triangulated categories and coherent sheaves.

Int. Math. Res. Not. IMRN 2011, 3688–3743.

doi | arXiv

(with A. Henderson and E. Sommers) Pieces of nilpotent cones for classical groups.

Represent. Theory 15 (2011), 584–616.

doi | arXiv

(with C. Cunningham) Toward a Mackey formula for compact restriction of character sheaves.

Harmonic analysis on reductive, p-adic groups, Contemp. Math. 543 (2011), 1–18.

doi | arXiv

(with A.-M. Aubert) Localisation de faisceaux caractères.

Adv. Math. 224 (2010), 2435–2471.

doi | arXiv

On the quasi-hereditary property for staggered sheaves.

Trans. Amer. Math. Soc. 362 (2010), 4735–4753.

doi | arXiv

Staggered t-structures on derived categories of equivariant coherent sheaves.

Int. Math. Res. Not. IMRN 2009, 3843–3900.

doi | arXiv

(with D. S. Sage) Staggered sheaves on partial flag varieties.

C. R. Math. Acad. Sci. Paris, Ser. I 347 (2009), 139–142.

doi | arXiv

(with D. S. Sage) Perverse coherent sheaves and the geometry of special pieces in the unipotent variety.

Adv. Math. 220 (2009), 1265–1296.

doi | arXiv | IHÉS

(with D. S. Sage) On special pieces, the Springer correspondence, and unipotent characters.

Amer. J. Math. 130 (2008), 1399–1425.

doi | arXiv

(with A. Henderson) Orbit closures in the enhanced nilpotent cone.

Adv. Math. 219 (2008), 27–62.

doi | arXiv

Corrigendum. Adv. Math. 228 (2011), 2984–2988.

doi | arXiv

(with A.-M. Aubert) Springer correspondences for dihedral groups.

Transform. Groups 13 (2008), 1–24.

doi | arXiv

(with A.-M. Aubert) On rank 2 complex reflection groups.

Comm. Algebra 36 (2008), 2092–2132.

doi | pdf | prépub. Jussieu

(with A.-M. Aubert) Représentations de Springer pour les groupes de réflexions complexes imprimitifs.

J. Algebra 319 (2008), 4102–4139.

doi | arXiv

(with A.-M. Aubert) Supports unipotents de faisceaux caractères.

J. Inst. Math. Jussieu 6 (2007), 173–207.

doi | arXiv | prépub. Jussieu

On the equivariant K-theory of the nilpotent cone in the general linear group.

Represent. Theory 8 (2004), 180–211.

doi | pdf

Corrections. Represent. Theory 20 (2016), 414–418.

doi | arXiv

An order-reversing duality map for conjugacy classes in Lusztig's canonical quotient.

Transform. Groups 8 (2003), 107–145.

doi | arXiv

(with E. Sommers) Local systems on nilpotent orbits and weighted Dynkin diagrams.

Represent. Theory 6 (2002), 190–201.

doi | arXiv

Equivariant mixed Hodge modules.

Lecture notes from the CMI workshop on Mixed Hodge Modules and Applications, 2013.

pdf

Springer theory for complex reflection groups.

組合せ論的表現論の拡がり [Expansion of combinatorial representation theory], 数理解析研究所講究録 [RIMS Kôkyûroku] no. 1647 (2009), 97–112.

journal | pdf

Introduction to staggered sheaves.

Preprint, 2008.

arXiv

Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups.

Ph.D. Thesis, Massachusetts Institute of Technology, 2001.

DSpace | pdf

Generalized conjugacy classes.

Rose–Hulman Mathematical Sciences Technical Report Series no. 97–01, 1997.

MSTR | pdf