Alexander Kolpakov

Publications

Article dans une revue (15)

Free subgroups of free products and combinatorial hypermaps Laura Ciobanu,Alexander Kolpakov Discrete Mathematics, 2019 Article dans une revue hal-01574304v4
The Dual Jacobian of a Generalised Hyperbolic Tetrahedron, and Volumes of Prisms Alexander Kolpakov,Jun Murakami Tokyo Journal of Mathematics, 2016, 39, pp.45 - 67. ⟨10.3836/tjm/1471873312⟩ Article dans une revue hal-01396110v1
Geodesic growth of right-angled Coxeter groups based on trees Laura Ciobanu,Alexander Kolpakov Journal of Algebraic Combinatorics, 2016, 44 (2), pp.249-264. ⟨10.1007/s10801-016-0667-9⟩ Article dans une revue hal-01141141v3
Hyperbolic 4-manifolds, colourings and mutations Alexander Kolpakov,Leone Slavich Proceedings of the London Mathematical Society, 2016, 113, pp.163 - 184. ⟨10.1112/plms/pdw025⟩ Article dans une revue hal-01396108v1
Combinatorial Decompositions, Kirillov-Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra Alexander Kolpakov,Jun Murakami Experimental Mathematics, 2016, pp.1 - 15. ⟨10.1080/10586458.2016.1242441⟩ Article dans une revue hal-01396113v1
Some hyperbolic three-manifolds that bound geometrically Alexander Kolpakov,Bruno Martelli,Steven Tschantz Proceedings of the American Mathematical Society, 2015, 143, pp.4103-4111. ⟨10.1090/proc/12520⟩ Article dans une revue hal-01287540v2
Symmetries of Hyperbolic 4-Manifolds Alexander Kolpakov,Leone Slavich International Mathematics Research Notices, 2015, ⟨10.1093/imrn/rnv210⟩ Article dans une revue hal-01163571v2
The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space Ruth Kellerhals,Alexander Kolpakov Canadian Journal of Mathematics = Journal Canadien de Mathématiques, 2014, ⟨10.4153/CJM-2012-062-3⟩ Article dans une revue hal-01570311v1
Hyperbolic four-manifolds with one cusp Alexander Kolpakov,Bruno Martelli Geometric And Functional Analysis, 2013, On-line first, pp.1-33. ⟨10.1007/s00039-013-0247-2⟩ Article dans une revue hal-00837649v2
Examples of rigid and flexible Seifert fibred cone-manifolds Alexander Kolpakov Glasgow Mathematical Journal, 2013, 55 (2), pp.411-429. ⟨10.1017/S0017089512000651⟩ Article dans une revue hal-00726613v1
Volume of a doubly truncated hyperbolic tetrahedron Alexander Kolpakov,Jun Murakami Aequationes Mathematicae, 2012, 85 (3), pp.449-463. ⟨10.1007/s00010-012-0153-y⟩ Article dans une revue hal-00713381v6
Deformation of finite-volume hyperbolic Coxeter polyhedra, limiting growth rates and Pisot numbers Alexander Kolpakov European Journal of Combinatorics, 2012, 33 (8), pp.1709-1724. ⟨10.1016/j.ejc.2012.04.003⟩ Article dans une revue hal-00699562v2
On the optimality of the ideal right-angled 24-cell Alexander Kolpakov Algebraic and Geometric Topology, 2012, 12 (4), pp.1941-1960. ⟨10.2140/agt.2012.12.1941⟩ Article dans une revue hal-00751349v2
Volume formula for a $\mathbb{Z}_2$-symmetric spherical tetrahedron through its edge lengths Alexander Kolpakov,Alexander Mednykh,Marina Pashkevich Arkiv för Matematik, 2011, pp.Online first. ⟨10.1007/s11512-011-0148-2⟩ Article dans une revue hal-00605572v2
Spherical structures on torus knots and links Alexander Kolpakov,Alexander Mednykh Siberian Mathematical Journal, 2009, 50 (5), pp.856-866. ⟨10.1007/s11202-009-0096-2⟩ Article dans une revue hal-00606856v2

Pré-publication, Document de travail (6)

On the impossibility of discovering a formula for primes using AI Alexander Kolpakov,Aidan Rocke 2024 Pré-publication, Document de travail hal-04651324v2
The Information Geometry of UMAP Alexander Kolpakov,Aidan Rocke 2024 Pré-publication, Document de travail hal-04819511v1
Counting cusped hyperbolic three-manifold that bound geometrically Alexander Kolpakov,Stefano Riolo 2019 Pré-publication, Document de travail hal-01858015v2
Three-dimensional maps and subgroups growth Laura Ciobanu,Alexander Kolpakov 2019 Pré-publication, Document de travail hal-01858014v2
Many cusped hyperbolic 3-manifolds do not bound geometrically Alexander Kolpakov,Alan W Reid,Stefano Riolo 2019 Pré-publication, Document de travail hal-02006688v2
Embedding arithmetic hyperbolic manifolds Alexander Kolpakov,Alan W. Reid,Leone Slavich 2017 Pré-publication, Document de travail hal-01499756v4

Thèse (1)

On extremal properties of hyperbolic Coxeter polytopes and their reflection groups Alexander Kolpakov Metric Geometry [math.MG]. Université de Fribourg, 2012. English. ⟨NNT : ⟩ Thèse tel-00762315v1