Mathematisches Institut der Universität Bonn

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

2024

Diagrammatics for the smallest quantum coideal and Jones--Wenzl projectors, (jt. with Zbigniew Wojciechowski) PDF

Geometric categorifications of Verma modules: Grassmannian Quiver Hecke algebras, (jt. with Thorsten Heidersdorf, Jonas Nehme) PDF

Khovanov algebras of type B and tensor powers of the natural OSp-representation, (jt. with Ruslan Maksimau) PDF

A braided monoidal (∞,2)-category of Soergel bimodules, (jt. with Yu Leon Liu, Aaron Mazel-Gee, David Reutter, Paul Wedrich) PDF

Semi-infinite highest weight categories, (jt. with Jonathan Brundan) PDF

2023

Existence and orthogonality of stable envelopes for bow varieties, (jt. with Till Wehrhan) PDF

Standard Extension Algebras I: Perverse Sheaves and Fukaya Calculus, (jt. with Jens Niklas Eberhardt) PDF

Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras, (jt. with Chris Bowman, Maud De Visscher, Amit Hazi) PDF

2022

A Lie theoretic categorification of the coloured Jones polynomial, (jt. with Joshua Sussan) Report ICM 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

2021

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,

Motivic Springer  theory (jt. with J. Eberhardt), to appear in Springer Memorial volume pdf

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 pdf

2016

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

Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians (jt. with M. Ehrig), Selecta Math. (N.S.) 22 (2016), no. 3, 1455–1536 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 (D_n, A_n-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 S_n (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