Department of Pure Mathematics

Research output

Research output per year 2006 2014 2018 2021 2022 2023 2024 2024

• 121 Article
• 10 Conference Proceeding
• 2 Review article
• 1 Chapter

Research output per year

Research output per year

Search results

• 2024

  Adams operations on the twisted K-theory of compact Lie groups

  Fok, C. K., Jun 2024, In: Journal of Homotopy and Related Structures. 19, 2, p. 99-120 22 p.

  Research output: Contribution to journal › Article › peer-review

  • K-Theory 100%
  • Compact Lie Group 100%
  • Equivariant 50%

• A NONCOMMUTATIVE ANALOGUE OF CLAUSEN’S VIEW ON THE IDÈLE CLASS GROUP

  Braunling, O., Henrard, R. & van Roosmalen, A. C., 2 Apr 2024, (E-pub ahead of print) In: Journal of the Institute of Mathematics of Jussieu.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Field Case 100%
  • Class Field Theory 100%
  • Semisimple 100%
  • Reciprocity Law 100%

• A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces

  Fei, J., Jiao, X. & Wang, J., 2024, In: Frontiers of Mathematics.

  Research output: Contribution to journal › Article › peer-review

  • Projective Space 100%
  • Minimal Surface 100%
  • Second Fundamental Form 33%

• Cohomology and K-theory rings of the space of commuting elements in SU(2)

  Fok, C-K., 2024, (Accepted/In press) In: Homology, Homotopy and Applications.

  Research output: Contribution to journal › Article › peer-review

• Compact hyperbolic Coxeter four-dimensional polytopes with eight facets

  Ma, J. & Zheng, F., 20 Feb 2024, In: Journal of Algebraic Combinatorics. 59, 2, p. 225-290 66 p.

  Research output: Contribution to journal › Article › peer-review

  • Polytope 100%
  • Facet 100%
  • Flat Surface 100%
  • Complete Classification 50%

• Deciding atomicity of subword-closed languages

  Atminas, A. & Lozin, V., 1 Jul 2024, In: Theoretical Computer Science. 1003, 114595.

  Research output: Contribution to journal › Article › peer-review

  • Decision Procedure 100%

• Densities on Dedekind domains, completions and Haar measure

  Demangos, L. & Longhi, I., Feb 2024, In: Mathematische Zeitschrift. 306, 2, 42 p., 21.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Closure 100%
  • Dedekind Domain 100%
  • Find Condition 33%
  • Group Of Units 33%
  • Prime Element 33%
  1 Downloads (Pure)

• On the graph products of simplicial groups and connected Hopf algebras

  Cai, L., 1 Jun 2024, In: Journal of Algebra. 647, p. 99-143 45 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Morphism 100%
  • Algebra over a Field 100%
  • Loop Space 100%
  1 Citation (Scopus)

• On the obscure axiom for one-sided exact categories

  Henrard, R. & van Roosmalen, A. C., Jul 2024, In: Journal of Pure and Applied Algebra. 228, 7, 107635.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Derived Category 100%
  • Complete 50%
  • Triangle 50%
  • Coincides 50%
  • Idempotent 50%
  1 Citation (Scopus)

• Pinched Constantly Curved Holomorphic Two-Spheres in the Complex Grassmann Manifolds

  Fei, J. & Wang, J., Aug 2024, In: Results in Mathematics. 79, 5, 209.

  Research output: Contribution to journal › Article › peer-review

  • Direct Sum 100%

• The distribution of the multiplicative index of algebraic numbers over residue classes

  Moree, P., Perucca, A. & Sgobba, P., Apr 2024, In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 94, 1, p. 1-17 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Residue Class 100%
  • Free Subgroup 50%
  • Finitely Generated Torsion 50%
  • Multiplicative Group 50%
  • Galois Extension 50%

• Wreath products of groups acting with bounded orbits

  Leemann, P-H., 12 Mar 2024, In: Enseignement mathématiques. 70, 1/2, p. 121-149

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Cofinality 100%
  • Median Graph 66%
  • Main Result 33%

• 复Grassmann 流形中拼挤常曲率全纯球面的分类

  Fei, J., Jiao, X. & Wang, J., 2024, In: Science China Mathematics (Chinese version).

  Research output: Contribution to journal › Article › peer-review
• 2023

  Asymptotics of Quantum 6j-Symbols

  Chen, Q. & Murakami, J., Jan 2023, In: Journal of Differential Geometry. 123, 1, p. 1-20 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Asymptotics 100%
  • Tetrahedron 100%
  • Terms 100%
  • Ideals 66%
  • Volume 50%

• Combinatorics and Algorithms for Quasi-Chain Graphs

  Alecu, B., Atminas, A., Lozin, V. & Malyshev, D., Mar 2023, In: Algorithmica. 85, 3, p. 642-664 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Chain Graph 100%
  • Combinatorics 100%
  • Classes 100%
  • Algorithms 100%
  • Induced Subgraph 37%

• Compact hyperbolic Coxeter five-dimensional polytopes with nine facets

  Ma, J. & Zheng, F., 2023, (Accepted/In press) In: Transformation Groups.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Polytope 100%
  • Facet 100%
  • Flat Surface 100%
  • Complete Classification 50%

• Congruence skein relations for colored HOMFLY-PT invariants

  Chen, Q., Liu, K., Peng, P. & Zhu, S., Jun 2023, In: Communications in Mathematical Physics. 400, 2, p. 683-729 47 p.

  Research output: Contribution to journal › Article › peer-review

  • Congruences 100%
  • Congruence 100%
  • String Theory 20%
  • Gauge Theory 20%

• Cyclotomic expansions for double twist knots with an odd number of half-twists

  Chen, Q., Liu, K. & Zhu, S., 31 Aug 2023, In: arXiv e-prints. math.GT/2308.16749, p. 1-19 19 p.

  Research output: Contribution to journal › Article

  • Half Twist 100%

• Detecting danger in gridworlds using Gromov’s Link Condition

  Burns, T. F. & Tang, R., 6 Dec 2023, In: Transactions on Machine Learning Research.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Geometrically bounding 3–manifolds, volume and Betti numbers

  Ma, J. & Zheng, F., 2023, In: Algebraic and Geometric Topology. 23, 3, p. 1055-1096 42 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Manifold Theory 100%
  • Positive Odd Integer 100%
  • Dodecahedron 100%

• Graph parameters, implicit representations and factorial properties

  Alecu, B., Alekseev, V. E., Atminas, A., Lozin, V. & Zamaraev, V., Oct 2023, In: Discrete Mathematics. 346, 10, 113573.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Parameters 100%
  • Vertex 100%
  • Factorials 100%
  • Implicit Representation 100%
  • Classes 33%
  4 Citations (Scopus)

• Integral homology groups of double coverings and rank one Z-local systems for a minimal CW complex

  Liu, Y. & Liu, Y., 4 Aug 2023, In: Proceedings of the American Mathematical Society. 151, 11, p. 5007-5012 6 p.

  Research output: Contribution to journal › Article › peer-review

  3 Citations (Scopus)

• On the asymptotic expansion of various quantum invariants I: the colored Jones polynomial of twist knots at the root of unity exp(2π√−1/(N+1/2))

  Chen, Q. & Zhu, S., 24 Jul 2023, In: arXiv e-prints. math.GT/2307.12963, p. 1-58 58 p.

  Research output: Contribution to journal › Article

  • Saddle Point Method 100%

• On the asymptotic expansion of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity exp(2π√−1/(N+ 1/M)) and exp(2π√−1/N)

  Chen, Q. & Zhu, S., 25 Jul 2023, In: arXiv e-prints. math.GT/2307.13670, p. 1-24 24 p.

  Research output: Contribution to journal › Article

  • Exp 100%

• Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric

  Wang, J., Fei, J. & Jiao, X., Jun 2023, In: Differential Geometry and its Application. 88, 102001.

  Research output: Contribution to journal › Article › peer-review

  • Constant 100%
  • Minimal Surface 100%
  • Hyperquadric 100%
  • Type Inequality 100%
  • Equality 33%
  3 Citations (Scopus)

• The left heart and exact hull of an additive regular category

  Henrard, R., Kvamme, S., van Roosmalen, A. C. & Wegner, S. A., 2023, In: Revista Matematica Iberoamericana. 39, 2, p. 439-494 56 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Monomorphism 100%
  • Functional Analysis 100%
  • Sided Quasi 50%
  • Locally Convex Space 50%
  3 Citations (Scopus)

• Transformation invariance in the Combinatorial Nullstellensatz and nowhere-zero points of non-singular matrices

  Schauz, U. & Honold, T., Nov 2023, In: Discrete Mathematics. 346, 11, 113187.

  Research output: Contribution to journal › Article › peer-review

  • Zeros 100%
  • Points 100%
  • Nullstellensatz 100%
  • Nonsingular Matrix 100%
  • Four Color Problem 12%
• 2022

  A note on the density of k-free polynomial sets, Haar measure and global fields

  Demangos, L. & Longhi, I., 2022, In: Quaestiones Mathematicae. 45, 9, p. 1373-1397 25 p.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Global Field 100%
  • Haar Measure 100%
  • Variables 33%
  • Polynomial Maps 33%
  1 Citation (Scopus)

• Cayley graphs with few automorphisms: the case of infinite groups

  Leemann, P-H. & de la Salle, M., 2022, In: Annales Henri Lebesgue. 5, p. 73-92

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • automorphism θ 100%
  • Automorphism 100%
  • Cayley Graph 100%
  • Infinite Group 100%
  • Finitely generated group 66%

• Classes of graphs without star forests and related graphs

  Atminas, A., Dec 2022, In: Discrete Mathematics. 345, 12, 113089.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Forest 100%
  • Class 100%
  • Classes 100%
  • Speed 40%
  • Matching 40%
  4 Citations (Scopus)

• Equivariant cohomology of torus orbifolds

  Darby, A., Kuroki, S. & Song, J., 20 Apr 2022, In: Canadian Journal of Mathematics. 74, 2, p. 299-328 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Torus 100%
  • Cohomologies 100%
  • Equivariant 100%
  • Calculate 33%
  • Generators 33%
  4 Citations (Scopus)

• Matrix group actions on product of spheres

  Ye, S., 1 Sept 2022, In: Journal of Topology and Analysis. 14, 3, p. 729-747 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Sphere 100%
  • Matrix Group 100%
  • Manifold 50%
  • Piecewise Linear 50%
  • Integer 50%

• Modular invariant of rank 1 Drinfeld modules and class field generation

  Demangos, L. & Gendron, T. M., Aug 2022, In: Journal of Number Theory. 237, p. 40-66 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Most Rigid Representation and Cayley Index of Finitely Generated Groups

  Leemann, P-H. & de la Salle, M., 2022, In: Electronic Journal of Combinatorics. 29, 4, 9 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Cayley Graph 100%

• Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C)

  Wang, J., Fei, J. & Xu, X., Feb 2022, In: Differential Geometry and its Application. 80, 101840.

  Research output: Contribution to journal › Article › peer-review
  2 Citations (Scopus)

• Property FW and wreath products of groups: A simple approach using Schreier graphs

  Leemann, P-H. & Schneeberger, G., Dec 2022, In: Expositiones Mathematicae. 40, 4, p. 1261-1270 10 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Finitely generated group 100%
  1 Citation (Scopus)

• Rigidity of the saddle connection complex

  Disarlo, V., Randecker, A. & Tang, R., Sept 2022, In: Journal of Topology. 15, 3, p. 1248-1310 63 p.

  Research output: Contribution to journal › Article › peer-review

  • Pairwise Disjoint 100%
  • Affine Equivalence Class 100%
  • Geometric Object 100%
  • Subcomplex 100%

• Up to a double cover, every regular connected graph is isomorphic to a Schreier graph

  Leemann, P-H., Mar 2022, In: Bulletin of the Belgian Mathematical Society - Simon Stevin. 28, 3, p. 373-379

  Research output: Contribution to journal › Article › peer-review

  • Regular Graph 100%
  • Connected Graph 100%
• 2021

  A Characterization of Homogeneous Holomorphic Two-Spheres in Q_n

  Fei, J. & Wang, J., Jan 2021, In: Journal of Geometric Analysis. 31, 1, p. 35-66 32 p.

  Research output: Contribution to journal › Article › peer-review
  6 Citations (Scopus)

• Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces

  Zhang, Y., Datar, V. & Jacob, A., 2021, In: Journal of Differential Geometry.

  Research output: Contribution to journal › Article › peer-review

  2 Citations (Scopus)

• Affine diffeomorphism groups are undistorted

  Tang, R., Sept 2021, In: Journal of the London Mathematical Society. 104, 2, p. 747-769 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  1 Citation (Scopus)

• Algebraic fibrations of certain hyperbolic 4-manifolds

  Ma, J. & Zheng, F., 1 Mar 2021, In: Topology and its Applications. 290, 107592.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Manifold 100%
  • 3-Manifold 100%
  • Algebraic Generalization 100%
  • Higher Dimensions 100%
  • Exact Sequence 100%

• Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

  Chen, Q., Liu, K. & Zhu, S., 7 Oct 2021, In: arXiv e-prints. math.GT/2110.03616, p. 1-12 12 p.

  Research output: Contribution to journal › Article

  • Invariant 100%

• Graph classes with linear Ramsey numbers

  Alecu, B., Atminas, A., Lozin, V. & Zamaraev, V., Apr 2021, In: Discrete Mathematics. 344, 4, 112307.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  5 Citations (Scopus)

• Graph functionality

  Alecu, B., Atminas, A. & Lozin, V., Mar 2021, In: Journal of Combinatorial Theory. Series B. 147, p. 139-158 20 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Functionality 100%
  • Clique-width 50%
  • Degeneracy 50%
  • VC Dimension 33%
  • Classes 16%
  10 Citations (Scopus)

• G-Tutte polynomials and Abelian Lie group arrangements

  Liu, Y., Tran, T. N. & Yoshinaga, M., 2021, In: International Mathematics Research Notices. 2021, 1, p. 152-190 39 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  10 Citations (Scopus)

• Integral cohomology groups of real toric manifolds and small covers

  Cai, L. & Choi, S., 1 Jul 2021, In: Moscow Mathematical Journal. 21, 3, p. 467-492 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  3 Citations (Scopus)

• Large-scale geometry of the saddle connection graph

  Disarlo, V., Pan, H., Randecker, A. & Tang, R., Nov 2021, In: Transactions of the American Mathematical Society. 374, 11, p. 8101-8129 29 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Trees 100%
  • Geometry 100%
  1 Citation (Scopus)

• Minimal classes of graphs of unbounded clique-width defined by finitely many forbidden induced subgraphs

  Atminas, A., Brignall, R., Lozin, V. & Stacho, J., 31 May 2021, In: Discrete Applied Mathematics. 295, p. 57-69 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  4 Citations (Scopus)

• Orientable hyperbolic 4-manifolds over the 120-Cell

  Ma, J. & Zheng, F., Sept 2021, In: Mathematics of Computation. 90, 331, p. 2463-2501 39 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • 4-Manifold 100%
  • Hyperbolic Manifold 50%
  • Higher Dimensions 50%
  • Homeomorphism 50%
  3 Citations (Scopus)