Geometric algebra and algebraic geometry of loop and Potts models Journal Article
In: JHEP, vol. 05, pp. 068, 2022.
Trivial source character tables of rm SL_2(q), I Journal Article
In: J. Algebra, vol. 598, pp. 308–350, 2022.
A Systematic Study of Isomorphism Invariants of Finite Groups via the Weisfeiler-Leman Dimension Proceedings Article
In: Chechik, Shiri; Navarro, Gonzalo; Rotenberg, Eva; Herman, Grzegorz (Ed.): 30th Annual European Symposium on Algorithms (ESA 2022), pp. 27:1–27:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, ISSN: 1868-8969.
Generation of local unitary groups Journal Article
In: J. Algebra, vol. 609, pp. 484–513, 2022, ISSN: 0021-8693, (With an appendix by Sven Manthe).
Borcherds' method for Enriques surfaces Journal Article
In: Michigan Math. J., vol. 71, no. 1, pp. 3–18, 2022, ISSN: 0026-2285.
Automorphism groups of certain Enriques surfaces Journal Article
In: Found. Comput. Math., vol. 22, no. 5, pp. 1463–1512, 2022, ISSN: 1615-3375.
Database of generic decomposition matrices Online
2022, visited: 01.01.2022.
Syzygies of P1×P1: data and conjectures Journal Article
In: Journal of Algebra, vol. 593, pp. 589-621, 2022, ISSN: 0021-8693.
Seshadri stratification for Schubert varieties and standard monomial theory Journal Article
In: Proceedings Mathematical Sciences, vol. 132, pp. Paper No. 74, 58, 2022.
Matrix models for cyclic monotone and monotone independences Online
2022, visited: 01.01.2022.
Systolic geometry of translation surfaces Journal Article
In: Experimental Mathematics, vol. mboxonline, 2022.
The Ceresa class and tropical curves of hyperelliptic type Online
2022, visited: 01.01.2022.
The Grassmannian of 3-planes in ℂ8 is schön Online
2022, visited: 01.01.2022, (Accepted to Algebraic Combinatorics).
Counting tropical curves in ℙ1×ℙ1: computation & polynomiality properties Online
2022, visited: 01.01.2022.
Initial degenerations of flag varieties Online
2022, visited: 01.01.2022.
Hyperelliptic curves and Ulrich sheaves on the complete intersection of two quadrics Online
2022, visited: 01.01.2022, (Preprint, arXiv:2212.07227).
A non-archimedean version of Kostlan's theorem. Online
2022, visited: 01.01.2022.
Exact structures and degeneration of Hall algebras Journal Article
In: Advances in Mathematics, vol. 398, pp. Paper No. 108210, 41, 2022, ISSN: 0001-8708,1090-2082.
The inductive blockwise Alperin weight condition for type 𝖢 and the prime 2 Journal Article
In: Journal of the Australian Mathematical Society, vol. 113, iss. 1, pp. 1-20, 2022.
Computing Galois groups of Ehrhart polynomials in OSCAR Journal Article
In: Seminaire Lotharingien de Combinatoire, vol. 86B, no. 87, 2022.
Semisimplicity and indecomposable objects in interpolating partition categories Journal Article
In: International Mathematics Research Notices, vol. 2022, iss. 22, pp. 17363–17430, 2022.
On the labelling of characters of Weyl groups of type F_4 Online
2022, visited: 01.01.2022.
Random generation of direct sums of finite non-degenerate subspaces Journal Article
In: Linear Algebra and its Applications, vol. 649, pp. 408-432, 2022.
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions Journal Article
In: Finite Fields and their Applications, vol. 82, 2022.
Triply mixed coverings of arbitrary base curves: quasimodularity, quantum curves and a mysterious topological recursion Journal Article
In: Annales de l’Institut Henri Poincaré D, vol. 9, no. 2, pp. 239–296, 2022.
Tropical floor plans and enumeration of complex and real multi-nodal surfaces Journal Article
In: J. Algebraic Geom., vol. 31, no. 2, pp. 261–301, 2022, ISSN: 1056-3911.
Explicit constructions of K3 surfaces and unirational Noether-Lefschetz divisors Journal Article
In: J. Algebra, vol. 611, pp. 630–650, 2022.
Movable cones of complete intersections of multidegree one on products of projective spaces Online
2022, visited: 01.01.2022, (Preprint, arXiv:2207.11150).
Specialization map for quiver Grassmannians Online
2022.
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization Journal Article
In: Electron. J. Combin., vol. 29, no. 2, pp. Paper No. 2.31, 33, 2022.
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization Journal Article
In: Electron. J. Combin., vol. 29, no. 2, pp. Paper No. 2.31, 33, 2022, ISSN: 1077-8926.
On the inductive McKay--Navarro condition for finite groups of Lie type in their defining characteristic Journal Article
In: J. Algebra, vol. 610, pp. 223-240, 2022.
Generalized permutahedra and positive flag Dressians Journal Article
In: Discrete Mathematics Days 2022, vol. 263, pp. 163, 2022.
Homogeneous bases for Demazure modules Journal Article
In: Communications in Algebra, vol. 50, iss. 7, pp. 2934–2953, 2022.
Binary Hermitian lattices over number fields Journal Article
In: Exp. Math., vol. 31, no. 1, pp. 280–301, 2022, ISSN: 1058-6458.
The Nonvanishing problem for varieties with nef anticanonical bundle Miscellaneous
arXiv220213814, 2022.
Birational geometry and the canonical ring of a family of determinantal 3-folds Journal Article
In: Rend. Istit. Mat. Univ. Trieste, vol. 54, pp. Paper No. 9, 2022.
Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) Journal Article
In: Selecta Math. (N.S.), vol. 28, no. 5, pp. Paper No. 89, 2022.
Joint global fluctuations of complex Wigner and deterministic matrices Journal Article
In: Random Matrices: Theory and Applications, vol. 11, no. 02, pp. 2250015, 2022.
Brauer's height zero conjecture Miscellaneous
2022.
Height zero conjecture with Galois automorphisms Journal Article
In: Journal of the London Mathematical Society, vol. 107, pp. 548-567, 2022.
Classification of Symplectic Birational Involutions of Manifolds of OG10 type Online
2022, visited: 01.01.2022.
Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras Journal Article
In: Trans. Amer. Math. Soc, 2022, (to appear).
Invariant Grassmannians and a K3 surface with an action of order 192*2 Online
2022, visited: 01.01.2022.
On orthogonal discriminants of characters Journal Article
In: Albanian Journal of Mathematics, vol. 16, no. 1, pp. 41–49, 2022.
Orthogonal determinants of characters Journal Article
In: Arch. Math., vol. 119, no. 1, pp. 19–26, 2022, ISSN: 0003-889X.
On cylindrical smooth rational Fano fourfolds Journal Article
In: J. Korean Math. Soc., vol. 59, no. 1, pp. 87–103, 2022.
On almost p-rational characters of p′-degree Journal Article
In: Forum Mathematicum, vol. 34, pp. 1475-1496, 2022.
A dynamical version of the SYK model and the q-Brownian motion Journal Article
In: Random Matrices: Theory and Applications, vol. 11, no. 03, pp. 2250031, 2022.
The Alperin–McKay and Brauer's height zero conjecture for the prime 2 Online
2022, visited: 01.01.2022.
The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type Journal Article
In: Proceedings of the AMS Series B, vol. 9, pp. 204–220, 2022.
Marked Godeaux surfaces with special bicanonical fibers Online
2022, visited: 01.01.2022, (Preprint, arXiv:2201.12065).
A short proof for the twisted multiplicativity property of the operator-valued S-transform Journal Article
In: Complex Analysis and Operator Theory, vol. 16, no. 6, pp. 81, 2022.
A structure result for Gorenstein algebras of odd codimension Journal Article
In: Journal of Algebra , vol. 589, pp. 173-187, 2022.
Pencils on Surfaces with Normal Crossings and the Kodaira Dimension of M_g,n Journal Article
In: Forum of Mathematics, Sigma, vol. 9, 2021.
The Dubrovin threefold of an algebraic curve Journal Article
In: Nonlinearity, vol. 34, no. 6, pp. 3783–3812, 2021, ISSN: 0951-7715.
Computing theta functions with Julia Journal Article
In: Journal of Software for Algebra and Geometry, vol. 11, pp. 41–51, 2021.
Universality of free random variables: atoms for non-commutative rational functions Online
2021, visited: 01.01.2021.
Algorithmic aspects of branched coverings II/V: sphere bisets and decidability of Thurston equivalence Journal Article
In: Inventiones mathematicae, vol. 223, pp. 895–994, 2021.
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence Journal Article
In: Groups, Geometry, and Dynamics, vol. 15, pp. 1197–1265, 2021.
Towards the classification of symplectic quotient singularities admitting a symplectic resolution Journal Article
In: Math. Z. , 2021.
Massively Parallel Computations in Algebraic Geometry Proceedings Article
In: Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation, pp. 11–14, Association for Computing Machinery, New York, NY, USA, 2021, ISBN: 9781450383820.
Analytic theory of higher order free cumulants Online
2021, visited: 01.01.2021.
Extensions of maximal symplectic actions on K3 surfaces Journal Article
In: Ann. H. Lebesgue, vol. 4, pp. 785–809, 2021.
The Loewy structure of certain fixpoint algebras, Part II Journal Article
In: Int. Electron. J. Algebra, vol. 30, pp. 16–65, 2021, ISSN: 1306-6048.
Counting curves on Hirzebruch surfaces: tropical geometry and the Fock space Journal Article
In: Math. Proc. Cambridge Philos. Soc., vol. 171, no. 1, pp. 165-205, 2021, ISSN: 0305-0041.
Initial degenerations of Grassmannians Journal Article
In: Sel. Math. New Ser., vol. 27, no. 57, 2021.
Orders and polytropes: matrix algebras from valuations Journal Article
In: Beiträge zur Algebra und Geometrie 2021, 2021.
Cones from quantum groups to tropical flag varieties Journal Article
In: J. Algebraic Combin., vol. 54, iss. 3, pp. 815–835, 2021.
Supports for linear degenerations of flag varieties Journal Article
In: Documenta Mathematica, vol. 26, pp. 1981–2003, 2021.
On the computation of the endomorphism rings of abelian surfaces Journal Article
In: Journal of Number Theory, vol. 229, pp. 39–52, 2021.
The indecomposable objects in the center of Deligne's category Rep(S_t) Online
2021, visited: 01.01.2021.
On the monoidal center of Deligne’s category Rep(St) Journal Article
In: J. Lond. Math. Soc., vol. 103, iss. 3, pp. 1153–1185, 2021.
Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology Journal Article
In: Pure and Applied Mathematics Quarterly, vol. 17, iss. 4, 2021.
Generalised Gelfand–Graev representations in bad characteristic? Journal Article
In: Transf. Groups., vol. 26, pp. 305–326, 2021.
2021, visited: 01.01.2021, (to appear).
Counting tropical rational curves with cross-ratio constraints Journal Article
In: Math. Z., vol. 297, no. 1-2, pp. 133–174, 2021, ISSN: 0025-5874.
Tropicalized quartics and canonical embeddings for tropical curves of genus 3 Journal Article
In: Int. Math. Res. Not. IMRN, no. 12, pp. 8946-8976, 2021, ISSN: 1073-7928.
A note on syzygies and normal generation for trigonal curves Online
2021, visited: 24.08.2021.
Subgroups of arbitrary even ordinary depth Journal Article
In: Int. J. Group Theory, vol. 10, no. 4, pp. 159–166, 2021, ISSN: 2251-7650,2251-7669.
Essentials of tropical combinatorics Book
American Mathematical Society, Providence, RI, 2021, ISBN: 978-1-4704-6653-4.
Splendid Morita equivalences for principal blocks with semidihedral defect groups Journal Article
In: Proceedings of the American Mathematical Society, vol. 150, pp. 41–53, 2021.
Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups Journal Article
In: Beitr. Algebra Geom., vol. 63, pp. 233–246, 2021.
Low-dimensional representations of finite orthogonal groups Journal Article
In: Mathematical Proceedings of the Cambridge Philosophical Society, vol. 171, pp. 585-606, 2021.
A note on the free and cyclic differential calculus Journal Article
In: Journal of Operator Theory, vol. 85, no. 1, pp. 183–215, 2021.
On Willems' conjecture on Brauer character degrees. Journal Article
In: Advances in Mathematics, vol. 380, 2021.
Brauer's height zero conjecture for principal blocks Journal Article
In: Journal für die reine und angewandte Mathematik, vol. 778, pp. 119-125, 2021.
Brauer's height zero conjecture for principal blocks Journal Article
In: Journal für die reine und angewandte Mathematik, vol. 778, pp. 119–125, 2021.
Conjugacy class numbers and pi-subgroups Journal Article
In: Pacific Journal of Mathematics, vol. 311, pp. 135-164, 2021.
On free elementary (mathbbZ_p C_p)-lattices Journal Article
In: Arch. Math., vol. 116, no. 5, pp. 509–514, 2021, ISSN: 0003-889X.
Automorphisms of modular lattices Journal Article
In: J. Pure Appl. Algebra, vol. 225, no. 7, pp. 14, 2021, ISSN: 0022-4049, (Id/No 106606).
PBW degenerations of Lie superalgebras and their typical representations Journal Article
In: Journal of Lie Theory, vol. 31, iss. 2, pp. 313-334, 2021.
The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic, author+an=1=highlight Journal Article
In: Journal of Algebra, vol. 582, pp. 177–205, 2021.
Regular origamis with totally non-congruence groups as Veech groups Book Section
In: vol. 2, pp. 27-30, 2021.
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space Journal Article
In: Journal of High Energy Physics, vol. 2020, no. 2, pp. 79, 2020.
The word and order problems for self-similar and automata groups Journal Article
In: Groups, Geometry, and Dynamics, vol. 14, pp. 705–728, 2020.
Towards Massively Parallel Computations in Algebraic Geometry Journal Article
In: Foundations of Computational Mathematics, vol. 21, pp. 767–806, 2020.
Computing GIT-fans with symmetry and the Mori chamber decomposition of M_0,6 Journal Article
In: Math. Comp., vol. 89, no. 326, pp. 3003–3021, 2020, ISSN: 0025-5718.
Classification of Complex Singularities with Non-Degenerate Newton Boundary Online
2020, visited: 01.01.2020.
Weak Lefschetz property and stellar subdivisions of Gorenstein complexes Journal Article
In: Australas. J. Combin., vol. 76, no. part 1, pp. 266–287, 2020, ISSN: 1034-4942.
IBP reduction coefficients made simple Journal Article
In: Journal of High Energy Physics, vol. 12, pp. 054, 2020.
On the Weisfeiler-Leman dimension of finite groups Proceedings Article
In: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2020), pp. 14, ACM, New York, 2020.
The Loewy structure of certain fixpoint algebras, Part I Journal Article
In: J. Algebra, vol. 558, pp. 199–220, 2020, ISSN: 0021-8693,1090-266X.
Verification of the ordinary character table of the Baby Monster Journal Article
In: J. Algebra, vol. 561, pp. 111–130, 2020, ISSN: 0021-8693,1090-266X.
Degenerate Schubert varieties in type A Journal Article
In: Transform. Groups, vol. 26, iss. 4, pp. 1189– 1215, 2020.
The Ceresa class: tropical, topological, and algebraic Online
2020, visited: 01.01.2020.
Slopes of Euclidean lattices, tensor product and group actions Journal Article
In: Isr. J. Math., vol. 235, no. 1, pp. 39–61, 2020, ISSN: 0021-2172.
Self-dual codes over chain rings Journal Article
In: Math. Comput. Sci., vol. 14, no. 2, pp. 443–456, 2020, ISSN: 1661-8270.
Introduction to Soergel bimodules Unpublished
2020, (572pp. Book, accepted for publication in Springer RSME.).
Introduction to Soergel bimodules Book
Springer, 2020.
A Continuous Family of Marked Poset Polytopes Journal Article
In: SIAM J. Discrete Math., vol. 34, pp. 611-639, 2020.
The Minkowski Property and Reflexivity of Marked Poset Polytopes Journal Article
In: Electron. J. Combin., vol. 27, 2020, (P1.27).
Gröbner bases for fusion products Online
2020.
Computing Green functions in small characteristic Journal Article
In: J. Algebra, 2020.
ChevLie: Constructing Lie algebras and Chevalley groups Journal Article
In: J. Softw. Algebra Geom, vol. 10, pp. 41–49, 2020.
Green functions and Glauberman degree-divisibility Journal Article
In: Annals. Math., vol. 192, pp. 229–249, 2020.
The Character Theory of Finite Groups of Lie Type: A Guided Tour Book
Cambridge University Press, Cambridge, 2020.
Generalizing tropical Kontsevich's formula to multiple cross-ratios Journal Article
In: Electron. J. Combin., vol. 27, no. 4, pp. Paper No. 4.26, 43, 2020.
The classification of the trivial source modules in blocks with cyclic defect groups Journal Article
In: Algebr. Represent. Theory, 2020.
On the source-algebra equivalence class of blocks with cyclic defect groups, I Journal Article
In: Beitr. Algebra Geom., 2020, (To appear).
Constructive Arithmetics in Ore Localizations of Domains Journal Article
In: Journal of Symbolic Computation, vol. 98, pp. 23–46, 2020.
On the Computation of Overorders Journal Article
In: International Journal of Number Theory, no. 4, pp. 857-879, 2020.
Strongly perfect lattices sandwiched between Barnes-Wall lattices Journal Article
In: J. Lond. Math. Soc., II. Ser., vol. 101, no. 3, pp. 1068–1089, 2020, ISSN: 0024-6107.
Low dimensional strongly perfect lattices. IV: The dual strongly perfect lattices of dimension 16 Journal Article
In: J. Number Theory, vol. 208, pp. 262–294, 2020, ISSN: 0022-314X.
Models of quantum permutations. With an appendix by Alexandru Chirvasitu and Pawel Joziak Journal Article
In: J. of Funct. Anal., 2020, (To appear).
Cubic forms having matrix factorizations by Hessian matrices Online
2020.
Trivial source characters in blocks with cyclic defect groups Journal Article
In: 2020.
Splendid Morita equivalences for principal 2-blocks with dihedral defect groups Journal Article
In: Math. Z., vol. 294, pp. 639–666, 2020.
Splendid Morita equivalences for principal 2-blocks with generalised quaternion defect groups Journal Article
In: J. Algebra, 2020, (To appear).
Lifting tropical bitangents Journal Article
In: J. Symbolic Comput., vol. 96, pp. 122-152, 2020, ISSN: 0747-7171.
Computations of free non-commutative Gröbner Bases over Z with Singular:Letterplace Proceedings Article
In: B6, (Ed.): Proc. of the International Symposium on Symbolic and Algebraic Computation (ISSAC'20), ACM Press, 2020, (to appear).
Letterplace - a Subsystem of Singular for computations with free algebras via Letterplace Embedding Proceedings Article
In: B6, (Ed.): Proc. of the International Symposium on Symbolic and Algebraic Computation (ISSAC'20), ACM Press, 2020, (to appear).
Remarks on computing Green functions Online
2020, visited: 01.01.2020.
Nonlocal games and quantum permutation groups Journal Article
In: Journal of Functional Analysis, vol. 279, no. 5, pp. 108592, 44, 2020.
Steinberg-like characters for finite simple groups Journal Article
In: Journal of Group Theory, vol. 23, pp. 25-78, 2020.
On the number of characters in blocks of quasi-simple groups Journal Article
In: Algebr. Represent. Theory , vol. 23, pp. 513-539, 2020.
Brauer's height zero conjecture for two primes Journal Article
In: Mathmatische Zeitschrift, vol. 295, pp. 1723-1732, 2020.
On principal indecomposable degrees and Sylow subgroups Journal Article
In: Archiv der Mathematik, vol. 115, no. 5, pp. 489-493, 2020.
Tropical curves and covers and their moduli spaces Journal Article
In: Jahresber. Dtsch. Math.-Ver., vol. 122, no. 3, pp. 139-166, 2020, ISSN: 0012-0456.
Finite simple groups with short Galois orbits on conjugacy classes Journal Article
In: Journal of Algebra, vol. 544, pp. 151 - 169, 2020.
Symmetries between measurements in quantum mechanics Online
2020.
On extremal quasi-modular forms after Kaneko and Koike Journal Article
In: Kyushu J. Math., vol. 74, no. 2, pp. 401–413, 2020, ISSN: 1340-6116.
All Publications (ordered by years)
2022
Geometric algebra and algebraic geometry of loop and Potts models Journal Article
In: JHEP, vol. 05, pp. 068, 2022.
Trivial source character tables of rm SL_2(q), I Journal Article
In: J. Algebra, vol. 598, pp. 308–350, 2022.
A Systematic Study of Isomorphism Invariants of Finite Groups via the Weisfeiler-Leman Dimension Proceedings Article
In: Chechik, Shiri; Navarro, Gonzalo; Rotenberg, Eva; Herman, Grzegorz (Ed.): 30th Annual European Symposium on Algorithms (ESA 2022), pp. 27:1–27:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, ISSN: 1868-8969.
Generation of local unitary groups Journal Article
In: J. Algebra, vol. 609, pp. 484–513, 2022, ISSN: 0021-8693, (With an appendix by Sven Manthe).
Borcherds' method for Enriques surfaces Journal Article
In: Michigan Math. J., vol. 71, no. 1, pp. 3–18, 2022, ISSN: 0026-2285.
Automorphism groups of certain Enriques surfaces Journal Article
In: Found. Comput. Math., vol. 22, no. 5, pp. 1463–1512, 2022, ISSN: 1615-3375.
Database of generic decomposition matrices Online
2022, visited: 01.01.2022.
Syzygies of P1×P1: data and conjectures Journal Article
In: Journal of Algebra, vol. 593, pp. 589-621, 2022, ISSN: 0021-8693.
Seshadri stratification for Schubert varieties and standard monomial theory Journal Article
In: Proceedings Mathematical Sciences, vol. 132, pp. Paper No. 74, 58, 2022.
Matrix models for cyclic monotone and monotone independences Online
2022, visited: 01.01.2022.
Systolic geometry of translation surfaces Journal Article
In: Experimental Mathematics, vol. mboxonline, 2022.
The Ceresa class and tropical curves of hyperelliptic type Online
2022, visited: 01.01.2022.
The Grassmannian of 3-planes in ℂ8 is schön Online
2022, visited: 01.01.2022, (Accepted to Algebraic Combinatorics).
Counting tropical curves in ℙ1×ℙ1: computation & polynomiality properties Online
2022, visited: 01.01.2022.
Initial degenerations of flag varieties Online
2022, visited: 01.01.2022.
Hyperelliptic curves and Ulrich sheaves on the complete intersection of two quadrics Online
2022, visited: 01.01.2022, (Preprint, arXiv:2212.07227).
A non-archimedean version of Kostlan's theorem. Online
2022, visited: 01.01.2022.
Exact structures and degeneration of Hall algebras Journal Article
In: Advances in Mathematics, vol. 398, pp. Paper No. 108210, 41, 2022, ISSN: 0001-8708,1090-2082.
The inductive blockwise Alperin weight condition for type 𝖢 and the prime 2 Journal Article
In: Journal of the Australian Mathematical Society, vol. 113, iss. 1, pp. 1-20, 2022.
Computing Galois groups of Ehrhart polynomials in OSCAR Journal Article
In: Seminaire Lotharingien de Combinatoire, vol. 86B, no. 87, 2022.
Semisimplicity and indecomposable objects in interpolating partition categories Journal Article
In: International Mathematics Research Notices, vol. 2022, iss. 22, pp. 17363–17430, 2022.
On the labelling of characters of Weyl groups of type F_4 Online
2022, visited: 01.01.2022.
Random generation of direct sums of finite non-degenerate subspaces Journal Article
In: Linear Algebra and its Applications, vol. 649, pp. 408-432, 2022.
The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions Journal Article
In: Finite Fields and their Applications, vol. 82, 2022.
Triply mixed coverings of arbitrary base curves: quasimodularity, quantum curves and a mysterious topological recursion Journal Article
In: Annales de l’Institut Henri Poincaré D, vol. 9, no. 2, pp. 239–296, 2022.
Tropical floor plans and enumeration of complex and real multi-nodal surfaces Journal Article
In: J. Algebraic Geom., vol. 31, no. 2, pp. 261–301, 2022, ISSN: 1056-3911.
Explicit constructions of K3 surfaces and unirational Noether-Lefschetz divisors Journal Article
In: J. Algebra, vol. 611, pp. 630–650, 2022.
Movable cones of complete intersections of multidegree one on products of projective spaces Online
2022, visited: 01.01.2022, (Preprint, arXiv:2207.11150).
Specialization map for quiver Grassmannians Online
2022.
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization Journal Article
In: Electron. J. Combin., vol. 29, no. 2, pp. Paper No. 2.31, 33, 2022.
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization Journal Article
In: Electron. J. Combin., vol. 29, no. 2, pp. Paper No. 2.31, 33, 2022, ISSN: 1077-8926.
On the inductive McKay--Navarro condition for finite groups of Lie type in their defining characteristic Journal Article
In: J. Algebra, vol. 610, pp. 223-240, 2022.
Generalized permutahedra and positive flag Dressians Journal Article
In: Discrete Mathematics Days 2022, vol. 263, pp. 163, 2022.
Homogeneous bases for Demazure modules Journal Article
In: Communications in Algebra, vol. 50, iss. 7, pp. 2934–2953, 2022.
Binary Hermitian lattices over number fields Journal Article
In: Exp. Math., vol. 31, no. 1, pp. 280–301, 2022, ISSN: 1058-6458.
The Nonvanishing problem for varieties with nef anticanonical bundle Miscellaneous
arXiv220213814, 2022.
Birational geometry and the canonical ring of a family of determinantal 3-folds Journal Article
In: Rend. Istit. Mat. Univ. Trieste, vol. 54, pp. Paper No. 9, 2022.
Special MMP for log canonical generalised pairs (with an appendix joint with Xiaowei Jiang) Journal Article
In: Selecta Math. (N.S.), vol. 28, no. 5, pp. Paper No. 89, 2022.
Joint global fluctuations of complex Wigner and deterministic matrices Journal Article
In: Random Matrices: Theory and Applications, vol. 11, no. 02, pp. 2250015, 2022.
Brauer's height zero conjecture Miscellaneous
2022.
Height zero conjecture with Galois automorphisms Journal Article
In: Journal of the London Mathematical Society, vol. 107, pp. 548-567, 2022.
Classification of Symplectic Birational Involutions of Manifolds of OG10 type Online
2022, visited: 01.01.2022.
Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras Journal Article
In: Trans. Amer. Math. Soc, 2022, (to appear).
Invariant Grassmannians and a K3 surface with an action of order 192*2 Online
2022, visited: 01.01.2022.
On orthogonal discriminants of characters Journal Article
In: Albanian Journal of Mathematics, vol. 16, no. 1, pp. 41–49, 2022.
Orthogonal determinants of characters Journal Article
In: Arch. Math., vol. 119, no. 1, pp. 19–26, 2022, ISSN: 0003-889X.
On cylindrical smooth rational Fano fourfolds Journal Article
In: J. Korean Math. Soc., vol. 59, no. 1, pp. 87–103, 2022.
On almost p-rational characters of p′-degree Journal Article
In: Forum Mathematicum, vol. 34, pp. 1475-1496, 2022.
A dynamical version of the SYK model and the q-Brownian motion Journal Article
In: Random Matrices: Theory and Applications, vol. 11, no. 03, pp. 2250031, 2022.
The Alperin–McKay and Brauer's height zero conjecture for the prime 2 Online
2022, visited: 01.01.2022.
The inductive McKay-Navarro conditions for the prime 2 and some groups of Lie type Journal Article
In: Proceedings of the AMS Series B, vol. 9, pp. 204–220, 2022.
Marked Godeaux surfaces with special bicanonical fibers Online
2022, visited: 01.01.2022, (Preprint, arXiv:2201.12065).
A short proof for the twisted multiplicativity property of the operator-valued S-transform Journal Article
In: Complex Analysis and Operator Theory, vol. 16, no. 6, pp. 81, 2022.
A structure result for Gorenstein algebras of odd codimension Journal Article
In: Journal of Algebra , vol. 589, pp. 173-187, 2022.
2021
Pencils on Surfaces with Normal Crossings and the Kodaira Dimension of M_g,n Journal Article
In: Forum of Mathematics, Sigma, vol. 9, 2021.
The Dubrovin threefold of an algebraic curve Journal Article
In: Nonlinearity, vol. 34, no. 6, pp. 3783–3812, 2021, ISSN: 0951-7715.
Computing theta functions with Julia Journal Article
In: Journal of Software for Algebra and Geometry, vol. 11, pp. 41–51, 2021.
Universality of free random variables: atoms for non-commutative rational functions Online
2021, visited: 01.01.2021.
Algorithmic aspects of branched coverings II/V: sphere bisets and decidability of Thurston equivalence Journal Article
In: Inventiones mathematicae, vol. 223, pp. 895–994, 2021.
Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence Journal Article
In: Groups, Geometry, and Dynamics, vol. 15, pp. 1197–1265, 2021.
Towards the classification of symplectic quotient singularities admitting a symplectic resolution Journal Article
In: Math. Z. , 2021.
Massively Parallel Computations in Algebraic Geometry Proceedings Article
In: Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation, pp. 11–14, Association for Computing Machinery, New York, NY, USA, 2021, ISBN: 9781450383820.
Analytic theory of higher order free cumulants Online
2021, visited: 01.01.2021.
Extensions of maximal symplectic actions on K3 surfaces Journal Article
In: Ann. H. Lebesgue, vol. 4, pp. 785–809, 2021.
The Loewy structure of certain fixpoint algebras, Part II Journal Article
In: Int. Electron. J. Algebra, vol. 30, pp. 16–65, 2021, ISSN: 1306-6048.
Counting curves on Hirzebruch surfaces: tropical geometry and the Fock space Journal Article
In: Math. Proc. Cambridge Philos. Soc., vol. 171, no. 1, pp. 165-205, 2021, ISSN: 0305-0041.
Initial degenerations of Grassmannians Journal Article
In: Sel. Math. New Ser., vol. 27, no. 57, 2021.
Orders and polytropes: matrix algebras from valuations Journal Article
In: Beiträge zur Algebra und Geometrie 2021, 2021.
Cones from quantum groups to tropical flag varieties Journal Article
In: J. Algebraic Combin., vol. 54, iss. 3, pp. 815–835, 2021.
Supports for linear degenerations of flag varieties Journal Article
In: Documenta Mathematica, vol. 26, pp. 1981–2003, 2021.
On the computation of the endomorphism rings of abelian surfaces Journal Article
In: Journal of Number Theory, vol. 229, pp. 39–52, 2021.
The indecomposable objects in the center of Deligne's category Rep(S_t) Online
2021, visited: 01.01.2021.
On the monoidal center of Deligne’s category Rep(St) Journal Article
In: J. Lond. Math. Soc., vol. 103, iss. 3, pp. 1153–1185, 2021.
Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology Journal Article
In: Pure and Applied Mathematics Quarterly, vol. 17, iss. 4, 2021.
Generalised Gelfand–Graev representations in bad characteristic? Journal Article
In: Transf. Groups., vol. 26, pp. 305–326, 2021.
2021, visited: 01.01.2021, (to appear).
Counting tropical rational curves with cross-ratio constraints Journal Article
In: Math. Z., vol. 297, no. 1-2, pp. 133–174, 2021, ISSN: 0025-5874.
Tropicalized quartics and canonical embeddings for tropical curves of genus 3 Journal Article
In: Int. Math. Res. Not. IMRN, no. 12, pp. 8946-8976, 2021, ISSN: 1073-7928.
A note on syzygies and normal generation for trigonal curves Online
2021, visited: 24.08.2021.
Subgroups of arbitrary even ordinary depth Journal Article
In: Int. J. Group Theory, vol. 10, no. 4, pp. 159–166, 2021, ISSN: 2251-7650,2251-7669.
Essentials of tropical combinatorics Book
American Mathematical Society, Providence, RI, 2021, ISBN: 978-1-4704-6653-4.
Splendid Morita equivalences for principal blocks with semidihedral defect groups Journal Article
In: Proceedings of the American Mathematical Society, vol. 150, pp. 41–53, 2021.
Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups Journal Article
In: Beitr. Algebra Geom., vol. 63, pp. 233–246, 2021.
Low-dimensional representations of finite orthogonal groups Journal Article
In: Mathematical Proceedings of the Cambridge Philosophical Society, vol. 171, pp. 585-606, 2021.
A note on the free and cyclic differential calculus Journal Article
In: Journal of Operator Theory, vol. 85, no. 1, pp. 183–215, 2021.
On Willems' conjecture on Brauer character degrees. Journal Article
In: Advances in Mathematics, vol. 380, 2021.
Brauer's height zero conjecture for principal blocks Journal Article
In: Journal für die reine und angewandte Mathematik, vol. 778, pp. 119-125, 2021.
Brauer's height zero conjecture for principal blocks Journal Article
In: Journal für die reine und angewandte Mathematik, vol. 778, pp. 119–125, 2021.
Conjugacy class numbers and pi-subgroups Journal Article
In: Pacific Journal of Mathematics, vol. 311, pp. 135-164, 2021.
On free elementary (mathbbZ_p C_p)-lattices Journal Article
In: Arch. Math., vol. 116, no. 5, pp. 509–514, 2021, ISSN: 0003-889X.
Automorphisms of modular lattices Journal Article
In: J. Pure Appl. Algebra, vol. 225, no. 7, pp. 14, 2021, ISSN: 0022-4049, (Id/No 106606).
PBW degenerations of Lie superalgebras and their typical representations Journal Article
In: Journal of Lie Theory, vol. 31, iss. 2, pp. 313-334, 2021.
The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic, author+an=1=highlight Journal Article
In: Journal of Algebra, vol. 582, pp. 177–205, 2021.
Regular origamis with totally non-congruence groups as Veech groups Book Section
In: vol. 2, pp. 27-30, 2021.
2020
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space Journal Article
In: Journal of High Energy Physics, vol. 2020, no. 2, pp. 79, 2020.
The word and order problems for self-similar and automata groups Journal Article
In: Groups, Geometry, and Dynamics, vol. 14, pp. 705–728, 2020.
Towards Massively Parallel Computations in Algebraic Geometry Journal Article
In: Foundations of Computational Mathematics, vol. 21, pp. 767–806, 2020.
Computing GIT-fans with symmetry and the Mori chamber decomposition of M_0,6 Journal Article
In: Math. Comp., vol. 89, no. 326, pp. 3003–3021, 2020, ISSN: 0025-5718.
Classification of Complex Singularities with Non-Degenerate Newton Boundary Online
2020, visited: 01.01.2020.
Weak Lefschetz property and stellar subdivisions of Gorenstein complexes Journal Article
In: Australas. J. Combin., vol. 76, no. part 1, pp. 266–287, 2020, ISSN: 1034-4942.
IBP reduction coefficients made simple Journal Article
In: Journal of High Energy Physics, vol. 12, pp. 054, 2020.
On the Weisfeiler-Leman dimension of finite groups Proceedings Article
In: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2020), pp. 14, ACM, New York, 2020.
The Loewy structure of certain fixpoint algebras, Part I Journal Article
In: J. Algebra, vol. 558, pp. 199–220, 2020, ISSN: 0021-8693,1090-266X.
Verification of the ordinary character table of the Baby Monster Journal Article
In: J. Algebra, vol. 561, pp. 111–130, 2020, ISSN: 0021-8693,1090-266X.
Degenerate Schubert varieties in type A Journal Article
In: Transform. Groups, vol. 26, iss. 4, pp. 1189– 1215, 2020.
The Ceresa class: tropical, topological, and algebraic Online
2020, visited: 01.01.2020.
Slopes of Euclidean lattices, tensor product and group actions Journal Article
In: Isr. J. Math., vol. 235, no. 1, pp. 39–61, 2020, ISSN: 0021-2172.
Self-dual codes over chain rings Journal Article
In: Math. Comput. Sci., vol. 14, no. 2, pp. 443–456, 2020, ISSN: 1661-8270.
Introduction to Soergel bimodules Unpublished
2020, (572pp. Book, accepted for publication in Springer RSME.).
Introduction to Soergel bimodules Book
Springer, 2020.
A Continuous Family of Marked Poset Polytopes Journal Article
In: SIAM J. Discrete Math., vol. 34, pp. 611-639, 2020.
The Minkowski Property and Reflexivity of Marked Poset Polytopes Journal Article
In: Electron. J. Combin., vol. 27, 2020, (P1.27).
Gröbner bases for fusion products Online
2020.
Computing Green functions in small characteristic Journal Article
In: J. Algebra, 2020.
ChevLie: Constructing Lie algebras and Chevalley groups Journal Article
In: J. Softw. Algebra Geom, vol. 10, pp. 41–49, 2020.
Green functions and Glauberman degree-divisibility Journal Article
In: Annals. Math., vol. 192, pp. 229–249, 2020.
The Character Theory of Finite Groups of Lie Type: A Guided Tour Book
Cambridge University Press, Cambridge, 2020.
Generalizing tropical Kontsevich's formula to multiple cross-ratios Journal Article
In: Electron. J. Combin., vol. 27, no. 4, pp. Paper No. 4.26, 43, 2020.
The classification of the trivial source modules in blocks with cyclic defect groups Journal Article
In: Algebr. Represent. Theory, 2020.
On the source-algebra equivalence class of blocks with cyclic defect groups, I Journal Article
In: Beitr. Algebra Geom., 2020, (To appear).
Constructive Arithmetics in Ore Localizations of Domains Journal Article
In: Journal of Symbolic Computation, vol. 98, pp. 23–46, 2020.
On the Computation of Overorders Journal Article
In: International Journal of Number Theory, no. 4, pp. 857-879, 2020.
Strongly perfect lattices sandwiched between Barnes-Wall lattices Journal Article
In: J. Lond. Math. Soc., II. Ser., vol. 101, no. 3, pp. 1068–1089, 2020, ISSN: 0024-6107.
Low dimensional strongly perfect lattices. IV: The dual strongly perfect lattices of dimension 16 Journal Article
In: J. Number Theory, vol. 208, pp. 262–294, 2020, ISSN: 0022-314X.
Models of quantum permutations. With an appendix by Alexandru Chirvasitu and Pawel Joziak Journal Article
In: J. of Funct. Anal., 2020, (To appear).
Cubic forms having matrix factorizations by Hessian matrices Online
2020.
Trivial source characters in blocks with cyclic defect groups Journal Article
In: 2020.
Splendid Morita equivalences for principal 2-blocks with dihedral defect groups Journal Article
In: Math. Z., vol. 294, pp. 639–666, 2020.
Splendid Morita equivalences for principal 2-blocks with generalised quaternion defect groups Journal Article
In: J. Algebra, 2020, (To appear).
Lifting tropical bitangents Journal Article
In: J. Symbolic Comput., vol. 96, pp. 122-152, 2020, ISSN: 0747-7171.
Computations of free non-commutative Gröbner Bases over Z with Singular:Letterplace Proceedings Article
In: B6, (Ed.): Proc. of the International Symposium on Symbolic and Algebraic Computation (ISSAC'20), ACM Press, 2020, (to appear).
Letterplace - a Subsystem of Singular for computations with free algebras via Letterplace Embedding Proceedings Article
In: B6, (Ed.): Proc. of the International Symposium on Symbolic and Algebraic Computation (ISSAC'20), ACM Press, 2020, (to appear).
Remarks on computing Green functions Online
2020, visited: 01.01.2020.
Nonlocal games and quantum permutation groups Journal Article
In: Journal of Functional Analysis, vol. 279, no. 5, pp. 108592, 44, 2020.
Steinberg-like characters for finite simple groups Journal Article
In: Journal of Group Theory, vol. 23, pp. 25-78, 2020.
On the number of characters in blocks of quasi-simple groups Journal Article
In: Algebr. Represent. Theory , vol. 23, pp. 513-539, 2020.
Brauer's height zero conjecture for two primes Journal Article
In: Mathmatische Zeitschrift, vol. 295, pp. 1723-1732, 2020.
On principal indecomposable degrees and Sylow subgroups Journal Article
In: Archiv der Mathematik, vol. 115, no. 5, pp. 489-493, 2020.
Tropical curves and covers and their moduli spaces Journal Article
In: Jahresber. Dtsch. Math.-Ver., vol. 122, no. 3, pp. 139-166, 2020, ISSN: 0012-0456.
Finite simple groups with short Galois orbits on conjugacy classes Journal Article
In: Journal of Algebra, vol. 544, pp. 151 - 169, 2020.
Symmetries between measurements in quantum mechanics Online
2020.
On extremal quasi-modular forms after Kaneko and Koike Journal Article
In: Kyushu J. Math., vol. 74, no. 2, pp. 401–413, 2020, ISSN: 1340-6116.
