Prof. Dr.
Catharina Stroppel
Preprints
- (jt. with M. Ehrig): Deligne categories and representations of OSp(r|2n) pdf
-
(jt. with M. Ehrig, D. Tubbenhauer): Generic gl2-foams, web and arc algebras pdf
-
(jt. with B. Webster): Quiver Schur Algebras and q-Fock space pdf
Publikationen/Published
Papers
2022
Categorified tangle invariants in representation theory towards TQFTs, Report ICM 2022
Slides of the ICM plenary talk, The Beauty of Braids
Motivic Springer theory (jt. with Eberhardt, Jens Niklas), Indag. Math. (N.S.) 33 (2022), no. 1, 190–217
The Indagationes Mathematicae Best Paper Prize
Book: Semi-Infinite highest weight categories (jt. with J. Brundan),
to appear in Memoirs of the AMS pdf Higher level affine Schur and
Hecke algebras (jt. with Maksimau, Ruslan) J. Pure Appl. Algebra
225
(2021),
no. 8, 106442,
2021
2020
Yang-Baxter Algebras as Convolution Algebras: The Grassmannian Case (jt. with V. Gorbounov, C. Korff), Uspekhi Mat. Nauk 75 (2020), no. 5(455), 3–58
The Affine VW Supercategory (WINART Projekt) Selecta Math. 26 (2020) no. 2 Paper No. 20 pdf
2019
Translation Functors and Decomposition Numbers for the Periplectic Lie Superalgebra p(n) (WINART Project), to appear in Math. Research Letters, Volume 26, no 3, 643-710, 2019 pdf
Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory (jt. with A. Wilbert), Math.Z. 202 (2019) no 3-4, 1387-1430 pdf
Affine Quiver Schur Algebras and p-adic GLn (jt. with V. Miemietz), Selecta Math.25 (2019) Paper No. 32 pdf
2018
Nazarov-Wenzl Algebras, coideal subalgebras and
categorified skew Howe duality (jt. with M. Ehrig),
Adv. Math. 331 (2018), 58–142 pdf
Cellular Structures using Uq-Tilting Modules (jt. with H.H. Andersen, D. Tubbenhauer) Pacific Journal of Mathematics 292-1 (2018), 21-59 pdf
2017
On the category of finite-dimensional representations of OSp(r|2n):
Part I (jt. with M. Ehrig),
to appear in: Representation theory - current trends and perspectives,
EMS Series of Congress Reports (2017), 109-170, European Mathematical
Society, 2017 pdf
Semisimplicity of Hecke and (Walled) Brauer Algebras (jt. with H.H. Andersen, D. Tubbenhauer) Journal of the Australian Mathematical Society 103 (2017), no. 1, 1-44 pdf
The Blanchet-Khovanov Algebras (jt. with M. Ehrig, D. Tubbenhauer), Categorification and higher representation theory, 183-226, Contemp. Math., 683, AMS, 2017 pdf2016
G(l , k, d)-modules via groupoids (jt. with V. Mazorchuk), J. Algebraic Combin. 43 (2016), no. 1, 11-32 pdf
Schur Weyl-duality for the Brauer Algebra and the ortho-symplectic
Lie superalgebra (jt. with M. Ehrig),
Math. Z. 284 (2016), no. 1-2, 595–613 pdf
2015
Koszul Gradings on Brauer Algebras (jt. with M. Ehrig), Int Math Res
Notices (2016) Vol. 2016, 3970-4011 pdf
2-row Springer fibres and Khovanov diagram algebras for type D (jt. with
M. Ehrig), Canad. J. Math. 68 (2016), no. 6, 1285–1333 pdf
Walled Brauer algebras as idempotent truncations of level 2 cyclotomic
quotients (jt. with A. Sartori), Journal of Algebra 440 (2015), 602-638 pdf
Categorification of tensor product representations of sl(k) and category O
(jt. with A. Sartori), Journal of Algebra 428 (2015), 256-291 pdf
2014
Fusion rings for quantum groups (jt.
with H. H. Andersen), Algebra and Representation theory 17 (2014), no. 6, 1869-1888 pdf
Categorified Jones-Wenzl projectors: a comparison (jt. with J. Sussan),
Contemporary Mathematics Volume 610, (2014), 333-352 pdf
2013
Goldie rank of primitive quotients via lattice point enumeration (jt. with
J. Meinel), Glasg. Math. J. 55 (2013), no. A, 149-168 pdf
Completions of Grothendieck groups (jt. with P. N. Achar), Bull. Lond.
Math. Soc. 45 (2013), no. 1, 200-212 pdf
A graphical description of (Dn, An-1)
Kazhdan-Lusztig polynomials (jt. with T. Lejczyk), Glasg. Math. J. 55
(2013), no. 2, 313-340 pdf
2012
Gradings on Walled Brauer Algebras and Khovanov's arc Algebra (jt. with J.
Brundan), Adv. Math. 231 (2012), no. 2, 709-773 pdf
Categorifying fractional Euler characteristics, Jones-Wenzl projectors and
3j-symbols (jt. with I. Frenkel, J. Sussan), Quantum Topol. 3 (2012), no.
2, 181-253 pdf
On the Ext algebras of parabolic Verma modules and A-infinity-structures
(jt. with A. Klamt), Pure and Applied Algebra, 216, (2012), 323-336 pdf
Highest weight categories arising from Khovanov's diagram algebra IV:
The general linear supergroup. (jt. with J. Brundan), JEMS 14 (2012), no.
2, 373-419 pdf
2-block Springer fibers: convolution algebras, coherent sheaves (jt. with
B. Webster), Comment. Math. Helv. 87 (2012), no. 2, 477-520 pdf
2011
Blocks of the category of cuspidal sp(2n)-modules, (jt. with V.
Mazorchuk), Pacific J. Math 251 (2011), no.1, 183-196.sp(
sp(2n)-modules, pdf
Cuspidal sl(n)-modules and deformations of certain Brauer tree algebras
(jt. with V. Mazorchuk), Adv Math 228 (2011), no. 2, 1008-1042 pdf
Highest weight categories arising from Khovanov's diagram algebra I:
cellularity. (jt. with J. Brundan), Mosc. Math. J., 11, (4), (2011),
685-722 pdf
Highest weight categories arising from Khovanov's diagram algebra III:
Category O. (jt. with J. Brundan), Repr. Theory 15 (2011), 170-243
pdf
2010
Schur-Weyl dualities and link homologies. Proceedings of the
International Congress of Mathematicians. Volume III, 1344-1365, Hindustan
Book Agency, New Delhi, 2010
Schur-Weyl type duality for quantized gl(1|1), the Burau representation of
braid group and invariants of tangled graph. (jt. with K. Reshetikhin, B.
Webster)
Proc. of Conf. "Perspectives in Analysis, Geometry and Topology" on the
occasion of Oleg Viro's 60-th birthday. Progress in Math., Birkhaeuser
(2010)
The sl(n)-WZNW Fusion Ring: a combinatorial construction and a realisation
as quotient of quantum cohomology. (jt. with C. Korff), Adv. Math. 225, (2010) no 1, 200-268 pdf
Highest weight categories arising from Khovanov's diagram algebra II:
Koszulity. (jt. with J. Brundan), Transf. groups, 15 (2010) pdf
2009
A brief review of abelian categorifications (jt. with M. Khovanov, V.
Mazorchuk), Theories and Appl. of Categories (2009) pdf
A combinatorial approach to functorial quantum sl(k) knot invariants. (jt.
with V. Mazorchuk), Amer. J. of Math, 131 (2009) pdf
Parabolic category O, perverse Sheaves on Grassmannians, Springer
Fibres and Khovanov cohomology, Compositio Math. 145 (2009), 954-992 pdf
Quadratic duals, Koszul dual functors, and applications (jt. with V.
Mazorchuk, S. Ovsienko), Trans. Amer. Math Soc. 361 (2009), no. 3, 1129-1172
pdf
2008
Categorification of (induced) cell modules and the rough structure of
generalized Verma modules (jt. with V. Mazorchuk), Adv. Math. 219, (2008)
no 4, 1363-1426 pdf
Categorification of Wedderburn's basis for Sn (jt. with V.
Mazorchuk), Arch.Math 91 (2008) no.1, 1-11 pdf
Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau
extensions (jt. with K. Brown, I. Gordon), J. Algebra 319 (2008) no. 3,
1007-1034 pdf
Projective-injective modules, Serre functors and symmetric algebras (jt.
with V. Mazorchuk), J. Reine und Angew. Math. 616 (2008) pdf
A categorification of integral Specht modules (jt. with M. Khovanov, V.
Mazorchuk), Proc. Amer. Math. Soc. 136 (2008), 1163-1169 pdf
2007
On functors associated to a simple root (with V. Mazorchuk) ), J. Algebra
314 (2007), no. 1, 97-128 pdf
2006
A categorification of finite-dimensional irreducible
representations of quantum sl(2) and their tensor products. (jt. with I.
Frenkel, M. Khovanov), Selecta Mathematica 12, (2006), 379-431 pdf
2005
Appendix to V. Mazorchuk, S. Ovsienko: A pairing in homology and the
category of linear tilting complexes for a quasi-hereditary algebra, J.
Math. Kyoto Univ 45, 2005 pdf
Categorification of the Temperley-Lieb algebra, Tangles and cobordisms via
projective functors, Duke 126, 2005 pdf
Translation and shuffling of projectively presentable modules and a
categorification of a parabolic Hecke module (jt. with V. Mazorchuk), Trans.
Amer.
Math. Soc. 357 (2005), 2939-2973 pdf
2004
A structure theorem for Harish-Chandra bimodules via coinvariants and
Golod rings, Journal of Algebra 282, 2004 pdf
Composition factors of quotients of the universal enveloping algebra by
primitive ideals, Journal of the LMS 70, 2004 pdf
2003
Twisting functors on O: (jt. with H.H. Andersen), Repr. Theory 7
(2003), 681-699 pdf
Category O: Quivers and endomorphism rings of projectives, Representation Theory 7 (2003), 322-345 pdf
Category O : Gradings and Translation Functors, Journal of Algebra
268, 2003 pdf
Homomorphisms and Extensions of Principal Series Representations, Journal
of Lie Theory 13, 2003 pdf
2001
PhD
Thesis
1997
Thesis
News
Dr. Regula Krapf receives university teaching award
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant