Pavel Tumarkin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Punctured surfaces, quiver mutations, and quotients of Coxeter groups	2024	Anna Felikson Michael Shapiro Pavel Tumarkin
+ PDF Chat	Friezes from surfaces and Farey triangulation	2024	Anna Felikson Pavel Tumarkin
+ PDF Chat	Categorifications of Non-Integer Quivers: Types 𝐻₄, 𝐻₃ and 𝐼₂(2𝑛+1)	2024	Drew Damien Duffield Pavel Tumarkin
+	Cluster algebras of finite mutation type with coefficients	2024	Anna Felikson Pavel Tumarkin
+	Polytopal realizations of non-crystallographic associahedra	2024	Anna Felikson Pavel Tumarkin Emine Yildirim
+ PDF Chat	Mutation-finite quivers with real weights	2023	Anna Felikson Pavel Tumarkin
+	Categorifications of Non-Integer Quivers: Type $I_2(2n)$	2023	Drew Damien Duffield Pavel Tumarkin
+	$3$D Farey graph, lambda lengths and $SL_2$-tilings	2023	Anna Felikson Oleg Karpenkov Khrystyna Serhiyenko Pavel Tumarkin
+	Categorifications of Non-Integer Quivers: Types $H_4$, $H_3$ and $I_2(2n+1)$	2022	Drew Damien Duffield Pavel Tumarkin
+	Friezes for a pair of pants	2021	̛İlke Çanakçı Anna Felikson Ana García Elsener Pavel Tumarkin
+ PDF Chat	Correction to: CLUSTER ALGEBRAS FROM SURFACES AND EXTENDED AFFINE WEYL GROUPS	2021	Anna Felikson John Lawson Michael Shapiro Pavel Tumarkin
+ PDF Chat	CLUSTER ALGEBRAS FROM SURFACES AND EXTENDED AFFINE WEYL GROUPS	2021	Anna Felikson John Lawson Michael Shapiro Pavel Tumarkin
+	Cluster algebras of finite mutation type with coefficients	2021	Anna Felikson Pavel Tumarkin
+	Friezes for a pair of pants	2021	̛İlke Çanakçı Anna Felikson Ana García Elsener Pavel Tumarkin
+	Cluster algebras from surfaces and extended affine Weyl groups	2020	Anna Felikson John Lawson Michael Shapiro Pavel Tumarkin
+	Cluster algebras from surfaces and extended affine Weyl groups	2020	Anna Felikson John Lawson Michael Shapiro Pavel Tumarkin
+ PDF Chat	Geometry of Mutation Classes of Rank 3 Quivers	2019	Anna Felikson Pavel Tumarkin
+ PDF Chat	Bases for cluster algebras from orbifolds with one marked point	2019	̛İlke Çanakçı Pavel Tumarkin
+	Mutation-finite quivers with real weights	2019	Anna Felikson Pavel Tumarkin
+	Acyclic cluster algebras, reflection groups, and curves on a punctured disc	2018	Anna Felikson Pavel Tumarkin
+	SL(2)-tilings do not exist in higher dimensions (mostly).	2018	Laurent Demonet P.-G. Plamondon Dylan Rupel Sergio Stella Pavel Tumarkin
+ PDF Chat	Bases for cluster algebras from orbifolds	2017	Anna Felikson Pavel Tumarkin
+ PDF Chat	ASYMPTOTIC TRIANGULATIONS AND COXETER TRANSFORMATIONS OF THE ANNULUS	2017	Hannah Vogel Anna Felikson Pavel Tumarkin
+ PDF Chat	Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients	2016	Salvatore Stella Pavel Tumarkin
+ PDF Chat	Coxeter groups, quiver mutations and geometric manifolds	2016	Anna Felikson Pavel Tumarkin
+	SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)	2016	Laurent Demonet Pierre‐Guy Plamondon Dylan Rupel Salvatore Stella Pavel Tumarkin
+	SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)	2016	Laurent Demonet Pierre‐Guy Plamondon Dylan Rupel Salvatore Stella Pavel Tumarkin
+ PDF Chat	Coxeter Groups and their Quotients Arising from Cluster Algebras	2015	Anna Felikson Pavel Tumarkin
+	Reflection subgroups of odd-angled Coxeter groups	2014	Anna Felikson Jessica Fintzen Pavel Tumarkin
+ PDF Chat	Growth rate of cluster algebras	2014	Anna Felikson Michael Shapiro Hugh Thomas Pavel Tumarkin
+ PDF Chat	Essential hyperbolic Coxeter polytopes	2013	Anna Felikson Pavel Tumarkin
+	Cluster algebras and triangulated orbifolds	2012	Anna Felikson Michael Shapiro Pavel Tumarkin
+ PDF Chat	Skew-symmetric cluster algebras of finite mutation type	2012	Anna Felikson Michael Shapiro Pavel Tumarkin
+ PDF Chat	Hyperbolic subalgebras of hyperbolic Kac–Moody algebras	2011	Anna Felikson Pavel Tumarkin
+ PDF Chat	Cluster Algebras of Finite Mutation Type Via Unfoldings	2011	Anna Felikson Michael Shapiro Pavel Tumarkin
+	Automorphism groups of root system matroids	2010	Mathieu Dutour Sikirić Anna Felikson Pavel Tumarkin
+ PDF Chat	Reflection subgroups of Coxeter groups	2009	Anna Felikson Pavel Tumarkin
+	Coxeter polytopes with a unique pair of non-intersecting facets	2008	Anna Felikson Pavel Tumarkin
+ PDF Chat	Regular subalgebras of affine Kac–Moody algebras	2008	Anna Felikson Alexander Retakh Pavel Tumarkin
+ PDF Chat	On simple ideal hyperbolic Coxeter polytopes	2008	Pavel Tumarkin Anna Felikson
+ PDF Chat	On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets	2008	Pavel Tumarkin Anna Felikson
+ PDF Chat	О простых идеальных гиперболических многогранниках Кокстера	2008	Pavel Tumarkin Pavel Tumarkin Anna Felikson Anna Felikson
+ PDF Chat	Compact Hyperbolic Coxeter $n$-Polytopes with $n+3$ Facets	2007	Pavel Tumarkin
+	On hyperbolic Coxeter polytopes with mutually intersecting facets	2007	Anna Felikson Pavel Tumarkin
+ PDF Chat	On hyperbolic Coxeter <i>n</i>-polytopes with <i>n</i> + 2 facets	2007	Anna Felikson Pavel Tumarkin Thomas Zehrt
+	Automorphism groups of root systems matroids	2007	Mathieu Dutour Sikirić Anna Felikson Pavel Tumarkin
+	Compact hyperbolic Coxeter -polytopes with facets.	2007	Pavel Tumarkin
+ PDF Chat	Euclidean simplices generating discrete reflection groups	2006	Anna Felikson Pavel Tumarkin
+ PDF Chat	Reflection subgroups of Euclidean reflection groups	2005	Pavel Tumarkin Anna Felikson
+ PDF Chat	Groups of Signature (0; n; 0)	2005	Pavel Tumarkin
+	On the volume of a six-dimensional polytope	2005	Anna Felikson Pavel Tumarkin
+	A series of word-hyperbolic Coxeter groups	2005	Anna Felikson Pavel Tumarkin
+ PDF Chat	Подгруппы отражений евклидовых групп отражений	2005	Pavel Tumarkin Pavel Tumarkin Anna Felikson Anna Felikson
+ PDF Chat	Hyperbolic Coxeter $n$-polytopes with $n+3$ facets	2004	Pavel Tumarkin
+ PDF Chat	Reflection subgroups of reflection groups	2004	Anna Felikson Pavel Tumarkin
+ PDF Chat	Hyperbolic Coxeter n-Polytopes with n+2 Facets	2004	Pavel Tumarkin
+ PDF Chat	Maximum-rank root subsystems of hyperbolic root systems	2004	Pavel Tumarkin
+ PDF Chat	Подсистемы корней полного ранга в гиперболических системах корней	2004	Pavel Tumarkin Pavel Tumarkin
+	Compact hyperbolic Coxeter n-polytopes with n+3 facets	2004	Pavel Tumarkin
+ PDF Chat	Hyperbolic<i>n</i>-dimensional Coxeter polytopes with<i>n</i>+3 facets	2003	Pavel Tumarkin
+ PDF Chat	On finite index reflection subgroups of discrete reflection groups	2003	Anna Felikson Pavel Tumarkin
+	Hyperbolic Coxeter polytopes	2000	Pavel Tumarkin

Common Coauthors

Coauthor	Papers Together
Anna Felikson	44
Michael Shapiro	8
John Lawson	4
Dylan Rupel	3
Laurent Demonet	3
̛İlke Çanakçı	3
Salvatore Stella	3
Drew Damien Duffield	3
Ana García Elsener	2
Mathieu Dutour Sikirić	2
Pierre‐Guy Plamondon	2
P.-G. Plamondon	1
Thomas Zehrt	1
Hannah Vogel	1
Michael Shapiro	1
Jessica Fintzen	1
Oleg Karpenkov	1
Khrystyna Serhiyenko	1
Hugh Thomas	1
Sergio Stella	1
Emine Yildirim	1
Alexander Retakh	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Cluster algebras I: Foundations	2001	Sergey Fomin Andrei Zelevinsky	15
+ PDF Chat	Cluster algebras and triangulated surfaces. Part I: Cluster complexes	2008	Sergey Fomin Michael Shapiro Dylan P. Thurston	13
+	Hyperbolic reflection groups	1985	É. B. Vinberg	13
+	Cluster algebras and triangulated orbifolds	2012	Anna Felikson Michael Shapiro Pavel Tumarkin	10
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač	9
+ PDF Chat	Cluster Algebras of Finite Mutation Type Via Unfoldings	2011	Anna Felikson Michael Shapiro Pavel Tumarkin	9
+ PDF Chat	Skew-symmetric cluster algebras of finite mutation type	2012	Anna Felikson Michael Shapiro Pavel Tumarkin	9
+ PDF Chat	Cluster algebras IV: Coefficients	2007	Sergey Fomin Andrei Zelevinsky	9
+ PDF Chat	Cluster algebras II: Finite type classification	2003	Sergey Fomin Andrei Zelevinsky	9
+	On complexes with transitive groups of automorphisms	1950	Folke Lannér	9
+	The classification of compact hyperbolic Coxeterd-polytopes withd+2 facets	1996	Frank Esselmann	8
+	Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths	2018	Sergey Fomin Dylan P. Thurston	8
+ PDF Chat	CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES	2006	Michael Barot Christof Geiß Andrei Zelevinsky	7
+ PDF Chat	Infinite Dimensional Lie Algebras	1983	Victor G. Kač	6
+ PDF Chat	On finite index reflection subgroups of discrete reflection groups	2003	Anna Felikson Pavel Tumarkin	6
+	None	1998	Elena Klimenko Makoto Sakuma	6
+ PDF Chat	Reflection subgroups of reflection groups	2004	Anna Felikson Pavel Tumarkin	6
+ PDF Chat	From triangulated categories to cluster algebras	2008	Philippe Caldero Bernhard Keller	6
+	Commensurability classes of hyperbolic Coxeter groups	2002	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz	6
+	Coxeter Decompositions of Hyperbolic Polygons	1998	Anna Felikson	6
+	Arithmetic crystallographic groups generated by reflections and reflective hyperbolic lattices	1992	V. Bugaenko	5
+ PDF Chat	New Graphs of Finite Mutation Type	2008	Harm Derksen Theodore Owen	5
+ PDF Chat	Coxeter decompositions of hyperbolic simplexes	2002	Anna Felikson	5
+ PDF Chat	Cluster algebras and symmetric matrices	2014	Ahmet Seven	5
+	DISCRETE LINEAR GROUPS GENERATED BY REFLECTIONS	1971	É. B. Vinberg	5
+	THE ABSENCE OF DISCRETE REFLECTION GROUPS WITH NONCOMPACT FUNDAMENTAL POLYHEDRON OF FINITE VOLUME IN LOBACHEVSKY SPACE OF LARGE DIMENSION	1987	Mikhail N. Prokhorov	5
+	Spherical simplices generating discrete reflection groups	2004	Anna Felikson	5
+	Semisimple Subalgebras of Semisimple Lie Algebras	2020	Mychelle Parker	5
+ PDF Chat	Acyclic Cluster Algebras Revisited	2013	David E Speyer Hugh Thomas	5
+	Quivers with potentials and their representations II: Applications to cluster algebras	2010	Harm Derksen Jerzy Weyman Andrei Zelevinsky	4
+	Hyperbolic Coxeter groups	1988	Gábor Moussong	4
+	ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES	1970	Евгений Михайлович Андреев	4
+ PDF Chat	Semisimple subalgebras of semisimple Lie algebras	1957	E. B. Dynkin	4
+	Discrete groups generated by reflections in the faces of symplicial prisms in Lobachevskian spaces	1974	I. M. Kaplinskaya	4
+ PDF Chat	Reflection subgroups of Euclidean reflection groups	2005	Pavel Tumarkin Anna Felikson	4
+	The size of a hyperbolic Coxeter simplex	1999	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz	4
+ PDF Chat	Reflection subgroups of Coxeter groups	2009	Anna Felikson Pavel Tumarkin	4
+ PDF Chat	Infinitely many hyperbolic Coxeter groups through dimension 19	2006	Daniel Allcock	4
+	Reflection group presentations arising from cluster algebras	2014	Michael Barot Bethany Marsh	4
+	On hyperbolic Coxeter polytopes with mutually intersecting facets	2007	Anna Felikson Pavel Tumarkin	4
+ PDF Chat	Mutation classes of diagrams via infinite graphs	2011	Thilo Henrich	4
+	Cluster algebras and semipositive symmetrizable matrices	2010	Ahmet Seven	4
+ PDF Chat	From triangulated categories to cluster algebras II	2006	Ph. Caldero Barbara Keller	4
+ PDF Chat	Companion Bases for Cluster-Tilted Algebras	2013	Mark James Parsons	4
+ PDF Chat	Cluster algebras III: Upper bounds and double Bruhat cells	2005	Arkady Berenstein Sergey Fomin Andrei Zelevinsky	4
+	Automorphism groups of Lorentzian lattices	1987	Richard E. Borcherds	4
+ PDF Chat	Cluster mutation via quiver representations	2008	Aslak Bakke Buan Bethany Marsh Idun Reiten	4
+ PDF Chat	Coxeter Groups and their Quotients Arising from Cluster Algebras	2015	Anna Felikson Pavel Tumarkin	3
+	Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space	1986	Askold Khovanskiĭ	3
+	Strong Tits alternative for subgroups of Coxeter groups.	2002	Г. А. Носков É. B. Vinberg	3