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Math @ Duke
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Papers Published
- Baker, KL; Buck, D; Moore, AH; O’donnol, D; Taylor, S, PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE,
Transactions of the American Mathematical Society Series B, vol. 12
(January, 2025),
pp. 276-297 [doi] [abs]
- Buck, D, Knotting and Linking of Macromolecules,
in Princeton Companion to Applied Mathematics
(January, 2025),
pp. 752-755
- Tubiana, L; Alexander, GP; Barbensi, A; Buck, D; Cartwright, JHE; Chwastyk, M; Cieplak, M; Coluzza, I; Čopar, S; Craik, DJ; Di Stefano, M; Everaers, R; Faísca, PFN; Ferrari, F; Giacometti, A; Goundaroulis, D; Haglund, E; Hou, YM; Ilieva, N; Jackson, SE; Japaridze, A; Kaplan, N; Klotz, AR; Li, H; Likos, CN; Locatelli, E; López-León, T; Machon, T; Micheletti, C; Michieletto, D; Niemi, A; Niemyska, W; Niewieczerzal, S; Nitti, F; Orlandini, E; Pasquali, S; Perlinska, AP; Podgornik, R; Potestio, R; Pugno, NM; Ravnik, M; Ricca, R; Rohwer, CM; Rosa, A; Smrek, J; Souslov, A; Stasiak, A; Steer, D; Sułkowska, J; Sułkowski, P; Sumners, DWL; Svaneborg, C; Szymczak, P; Tarenzi, T; Travasso, R; Virnau, P; Vlassopoulos, D; Ziherl, P; Žumer, S, Topology in soft and biological matter,
Physics Reports, vol. 1075
(July, 2024),
pp. 1-137 [doi] [abs]
- Barbensi, A; Buck, D; Harrington, HA; Lackenby, M, Double branched covers of knotoids,
Communications in Analysis and Geometry, vol. 30 no. 5
(January, 2022),
pp. 1007-1057 [doi] [abs]
- Bousios, A; Nützmann, HW; Buck, D; Michieletto, D, Integrating transposable elements in the 3D genome,
Mobile DNA, vol. 11 no. 1
(February, 2020) [doi] [abs]
- Barbensi, A; Celoria, D; Harrington, HA; Stasiak, A; Buck, D, Grid diagrams as tools to investigate knot spaces and topoisomerase-mediated simplification of DNA topology.,
Science advances, vol. 6 no. 9
(February, 2020),
pp. eaay1458 [doi] [abs]
- Buck, D; O’donnol, D, Knotting of replication intermediates is narrowly restricted,
Contemporary Mathematics, vol. 746
(January, 2020),
pp. 85-100 [doi] [abs]
- O'Donnol, D; Stasiak, A; Buck, D, Two convergent pathways of DNA knotting in replicating DNA molecules as revealed by θ-curve analysis.,
Nucleic acids research, vol. 46 no. 17
(September, 2018),
pp. 9181-9188 [doi] [abs]
- Barthel, S; Buck, D, Erratum to: Toroidal embeddings of abstractly planar graphs are knotted or linked (Journal of Mathematical Chemistry, (2015), 53, 8, (1772-1790), 10.1007/s10910-015-0519-1),
Journal of Mathematical Chemistry, vol. 55 no. 9
(October, 2017),
pp. 1887 [doi] [abs]
- Buck, D; Ishihara, K; Rathbun, M; Shimokawa, K, Band surgeries and crossing changes between fibered links,
Journal of the London Mathematical Society, vol. 94 no. 2
(October, 2016),
pp. 557-582 [doi] [abs]
- Baker, KL; Buck, D; Lecuona, AG, Some knots in S1 × S2 with lens space surgeries,
Communications in Analysis and Geometry, vol. 24 no. 3
(January, 2016),
pp. 431-470 [doi] [abs]
- Anderson, G; Buck, D; Coates, T; Corti, A, Drawing in mathematics from inverse vision to the liberation of form,
Leonardo, vol. 48 no. 5
(October, 2015),
pp. 439-448 [doi] [abs]
- Barthel, S; Buck, D, Toroidal embeddings of abstractly planar graphs are knotted or linked,
Journal of Mathematical Chemistry, vol. 53 no. 8
(September, 2015),
pp. 1772-1790 [doi] [abs]
- Buck, D; Dolzhenko, E; Jonoska, N; Saito, M; Valencia, K, Genus ranges of 4-regular rigid vertex graphs,
Electronic Journal of Combinatorics, vol. 22 no. 3
(September, 2015) [doi] [abs]
- Buck, D; Ishihara, K, Coherent band pathways between knots and links,
Journal of Knot Theory and Its Ramifications, vol. 24 no. 2
(February, 2015) [doi] [abs]
- Buck, D, Reactions mediated by topoisomerases and other enzymes: Modelling localised DNA transformations,
in Natural Computing Series, vol. 48
(January, 2014),
pp. 347-361 [doi] [abs]
- Baker, KL; Buck, D, The classification of rational subtangle replacements between rational tangles,
Algebraic and Geometric Topology, vol. 13 no. 3
(April, 2013),
pp. 1413-1463 [doi] [abs]
- Stasiak, A; Bates, AD; Buck, DE; Harris, SA; Sumners, DW, Topological aspects of DNA function and protein folding.,
Biochemical Society transactions, vol. 41 no. 2
(April, 2013),
pp. 491-493 [doi] [abs]
- Buck, D; Gibbons, J; Staron, E, Pretzel knots with unknotting number one,
Communications in Analysis and Geometry, vol. 21 no. 2
(January, 2013),
pp. 365-408 [doi] [abs]
- Olorunniji, FJ; Buck, DE; Colloms, SD; McEwan, AR; Smith, MCM; Stark, WM; Rosser, SJ, Gated rotation mechanism of site-specific recombination by ϕC31 integrase.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 109 no. 48
(November, 2012),
pp. 19661-19666 [doi] [abs]
- Functional Phylogenies Group, Phylogenetic inference for function-valued traits: speech sound evolution.,
Trends in ecology & evolution, vol. 27 no. 3
(March, 2012),
pp. 160-166 [doi] [abs]
- Valencia, K; Buck, D, Predicting knot and catenane type of products of site-specific recombination on twist knot substrates.,
Journal of molecular biology, vol. 411 no. 2
(August, 2011),
pp. 350-367 [doi] [abs]
- Buck, D; Mauricio, M, Connect sum of lens spaces surgeries: Application to Hin recombination,
Mathematical Proceedings of the Cambridge Philosophical Society, vol. 150 no. 3
(May, 2011),
pp. 505-525 [doi] [abs]
- Buck, D; Valencia, K, Characterization of knots and links arising from site-specific recombination on twist knots,
Journal of Physics A Mathematical and Theoretical, vol. 44 no. 4
(January, 2011) [doi] [abs]
- Buck, D; Lee Baker, K, Taxonomy of DNA conformations within complex nucleoprotein assemblies,
Progress of Theoretical Physics Supplement no. 191
(January, 2011),
pp. 55-65 [doi] [abs]
- Buck, D; Flapan, E, Predicting knot or catenane type of site-specific recombination products.,
Journal of molecular biology, vol. 374 no. 5
(December, 2007),
pp. 1186-1199 [doi] [abs]
- Buck, D; Flapan, E, A topological characterization of knots and links arising from site-specific recombination,
Journal of Physics A Mathematical and Theoretical, vol. 40 no. 41
(October, 2007),
pp. 12377-12395 [doi] [abs]
- Buck, D; Marcotte, CV, Classification of tangle solutions for integrases, a protein family that changes DNA topology,
Journal of Knot Theory and Its Ramifications, vol. 16 no. 8
(October, 2007),
pp. 969-995 [doi] [abs]
- Buck, D; Marcotte, CV, Tangle solutions for a family of DNA-rearranging proteins,
Mathematical Proceedings of the Cambridge Philosophical Society, vol. 139 no. 1
(July, 2005),
pp. 59-80 [doi] [abs]
- Grainge, I; Buck, D; Jayaram, M, Geometry of site alignment during int family recombination: antiparallel synapsis by the Flp recombinase.,
Journal of molecular biology, vol. 298 no. 5
(May, 2000),
pp. 749-764 [doi] [abs]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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