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Fermat-Catalan and Tijdeman-Zagier conjectures for products.
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Skein modules and character varieties of Seifert manifolds, with R. Detcherry and E. Kalfagianni.
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Kauffman bracket skein modules of small 3-manifolds, with R. Detcherry and E. Kalfagianni, Advances in Math., to appear
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Stated SL(n)-Skein Modules and Algebras, with Thang T.Q. Le, Journal of Topology, 17(3) 2024, e12350. .
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Adequate links in thickened surfaces and the generalized Tait conjectures, with H.U. Boden and H. Karimi, Algebraic & Geometric Topology 23 (2023) 2271–2308
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Tangle Equations, the Jones conjecture, slopes of surfaces in tangle complements, and q-deformed rationals, Canadian J. of Math. 76 (2) (2024), 707-727. doi:10.4153/S0008414X23000755.
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Verification Of The Jones Unknot Conjecture Up To 24 Crossings with R. E. Tuzun, J. of Knot Theory and Its Ramifications, 30 (03), 2150020 (2021), arXiv: 2003.06724
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SU(3)-skein algebras and webs on surfaces, with C. Frohman, Math Z. 300, 33–-56 (2022)
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Verification Of The Jones Unknot Conjecture Up To 22 Crossings, with R. E. Tuzun, J. of Knot Theory and Its Ramif. 27 (2018), 1840009, arXiv: 1606.06671
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Varieties of Characters, with S. Lawton, Algebras and Representation Theory, 20 (5), (2017) 1133--1141, arXiv: 1604.02164
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Skein algebras of surfaces, with J.H. Przytycki, Trans. of AMS, 371 (2019), 1309--1332, arXiv:1602.07402
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SO(2n,C)-character varieties are not varieties of characters, Journal of Algebra, 478 (2017) 195--214, arXiv: 1503.08279
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G-Character varieties for G=SO(n,C) and other not simply connected groups, Journal of Algebra, 429, 2015, 324--341,
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Character Varieties of Abelian Groups, Mathematische Zeitschrift, 277, (1-2), 2014, 241--256, arXiv: 1207.5284
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Generating sets for coordinate rings of character varieties, Journal of Pure and Applied Algebra, 217 (11), (2013), 2076--2087.
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Distributive Products and Their Homology, with J.H. Przytycki, Communications in Algebra, 42 (3), (2014), 1258--1269.
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Character varieties, Trans. of AMS 364 (2012)
5173--5208.
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Quantizations of Character Varieties and Quantum Knot Invariants
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Turing Degrees of Isomorphism Types of Non-Abelian Groups, with M.
Dabkowska, M. Dabkowski, V. Horizanov, Proc. of AMS 135 (2007)
3383--3391.
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Confluence Theory for Graphs. with B.W. Westbury, Alg. Geom. Topol.
7 (2007) 439--478.
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A categorification of the skein module of tangles, with M. Asaeda, J.H.
Przytycki, Contemporary Mathematics 416 , 2006, 1--8.
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Skein theory for SU(n)-quantum invariants, Alg. Geom. Topol. 5
(2005) 865-897
- Categorification
of the Kauffman bracket skein module of I-bundles over surfaces,
with M. M. Asaeda and J. H. Przytycki, Algebr. Geom. Topol. 4
(2004), 1177--1210
- Cut numbers of 3-manifolds,
Trans. Amer. Math. Soc. 357 (2005) no. 5, 2007--2020
- Kauffman-Harary
conjecture holds for Montesinos Knots,
with M.M. Asaeda and J. H. Przytycki, J. Knot Theory Ramifications,
13(4) (2004) 467--477.
- Topology
on the spaces of orderings of groups
Bull. London Math. Soc. 36 (2004) 519--526.
- Analogies
between group actions on 3-manifolds and number fields
Comm. Math. Helv 78 (2003), no. 4, 832--844.
- Torus
and Z/pZ actions on manifolds Topology 42 (2003) 395--421.
- Skein
Modules at 4th Roots of 1,
J. of Knot Theory and Its Ramifications, 13 (2004) 571--585
- SU_n-Quantum
Invariants for Periodic Links ,
(with J. H. Przytycki), in "Diagrammatic morphisms and applications"
(San Francisco, CA, 2000), 199--205, Contemp. Math., 318, AMS, Providence,
RI, 2003.
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Topological Insights from the Chinese Rings ,
(with J. H. Przytycki), Proc. Amer. Math. Soc., 130 (2002),
no. 3, 893--902.
- SL_n-Character
Varieties as Spaces of Graphs Trans. Amer. Math. Soc. 353
(2001), no. 7, 2773--2804.
- Skein
Modules and TQFT ,
in ``Knots in Hellas'98,'' Proc. of the Int. Conf. on Knot Theory,
Eds. C. McA. Gordon et al., World Scientific 2000.
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Estimating
the size of skein homologies , (with J.
Kania-Bartoszynska and J. H.
Przytycki), in ``Knots in Hellas'98,'' Proc. of the Int. Conf. on
Knot Theory, Eds. C. McA. Gordon et al, World Scientific 2000.
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On Skein Algebras and Sl_2(C)-Character Varieties ,
(with J. H. Przytycki) Topology, 39 (1) 2000, 115--148.
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Polygon dissections and Euler, Fuss, Kirkman and Cayley numbers
(with J. H. Przytycki) J. Comb. Theory A, 92 (1) (2000), 68--76.
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Skein
Algebra
of a Group , (with J. H. Przytycki) in ``Knot theory''
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- On Conway
Algebras and the Homflypt Polynomial, J. Knot Theory and Its Ramific.
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- A note on
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.
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