About
Luke is a first year Postgraduate Researcher based in the School of Mathematics, currently studying under Prof. Jim Anderson.
Luke’s research focuses on Hyperbolic Geometry, currently they are working on the Hadviger-Nelson Problem in the Hyperbolic Plane.
Research
Research groups
Member of:
Research interests
- Fuchsian Groups
- Tiling the Hyperbolic Plane
- Geometric Group Theory
Current research
Luke’s current research focuses on applying Fuchsian Groups and using Hyperbolic tilings to find upper and lower bounds for the chromatic number of s-distance graphs in the Hyperbolic Plane.
Thesis title: Hadviger-Nelson Problem in the Hyperbolic Plane
Supervisors Prof. Jim Anderson
Date started: September 2023
Publications
1 publication
Page 1 of 1
T.W. Winkler, A.E. Justice, M. Graff, L. Barata, M.F. Feitosa, S. Chu, J. Czajkowski, T. Esko, T. Fall, T.O. Kilpeläinen, Y. Lu, R. Mägi, E. Mihailov, T.H. Pers, S. Rüeger, A. Teumer, G.B. Ehret, T. Ferreira, N.L. Heard-Costa, J. Karjalainen, V. Lagou, A. Mahajan, M.D. Neinast, I. Prokopenko, J. Simino, T.M. Teslovich, R. Jansen, H.-J. Westra, C.C. White, D. Absher, T.S. Ahluwalia, S. Ahmad, E. Albrecht, A.C. Alves, J.L. Bragg-Gresham, A.J.M. de Craen, J.C. Bis, A. Bonnefond, G. Boucher, G. Cadby, Y.-C. Cheng, C.W.K. Chiang, G. Delgado, A. Demirkan, N. Dueker, N. Eklund, G. Eiriksdottir, J. Eriksson, B. Feenstra, K. Fischer, F. Frau, T.E. Galesloot, F. Geller, A. Goel, M. Gorski, T.B. Grammer, S. Gustafsson, S. Haitjema, J.-J. Hottenga, J.E. Huffman, A.U. Jackson, K.B. Jacobs, Å. Johansson, M. Kaakinen, M.E. Kleber, J. Lahti, I.M. Leach, B. Lehne, Y.-P. Liu, K.S. Lo, M. Lorentzon, J. Luan, P.A.F. Madden, M. Mangino, B. McKnight, C. Medina-Gomez, K.L. Monda, M.E. Montasser, G. Müller, M. Müller-Nurasyid, I.M. Nolte, K. Panoutsopoulou, L. Pascoe, L. Paternoster, N.W. Rayner, F. Renström, F. Rizzi, L.M. Rose, K.A. Ryan, P. Salo, S. Sanna, H. Scharnagl, J. Shi, A.V. Smith, L. Southam, A. Stančáková, V. Steinthorsdottir, R.J. Strawbridge, Y.J. Sung, I. Tachmazidou, T. Tanaka, G. Thorleifsson, S. Trompet, N. Pervjakova, J.P. Tyrer, L. Vandenput, S.W. van der Laan, N. van der Velde, J. van Setten, J.V. van Vliet-Ostaptchouk, N. Verweij, E. Vlachopoulou, L.L. Waite, S.R. Wang, Z. Wang, S.H. Wild, C. Willenborg, J.F. Wilson, A. Wong, J. Yang, L. Yengo, L.M. Yerges-Armstrong, L. Yu, W. Zhang, J.H. Zhao, E.A. Andersson, S.J.L. Bakker, D. Baldassarre, K. Banasik, M. Barcella, C. Barlassina, C. Bellis, P. Benaglio, J. Blangero, M. Blüher, F. Bonnet, L.L. Bonnycastle, H.A. Boyd, M. Bruinenberg, A.S. Buchman, H. Campbell, Y.-D.I. Chen, P.S. Chines, S. Claudi-Boehm, J. Cole, F.S. Collins, E.J.C. de Geus, L.C.P.G.M. de Groot, M. Dimitriou, J. Duan, S. Enroth, E. Eury, A.-E. Farmaki, N.G. Forouhi, N. Friedrich, P.V. Gejman, B. Gigante, N. Glorioso, A.S. Go, O. Gottesman, J. Gräßler, H. Grallert, N. Grarup, Y.-M. Gu, L. Broer, A.C. Ham, T. Hansen, T.B. Harris, C.A. Hartman, M. Hassinen, N. Hastie, A.T. Hattersley, A.C. Heath, A.K. Henders, D. Hernandez, H. Hillege, O. Holmen, K.G. Hovingh, J. Hui, L.L. Husemoen, N. Hutri-Kähönen, P.G. Hysi, T. Illig, P.L. De Jager, S. Jalilzadeh, T. Jørgensen, J.W. Jukema, M. Juonala, S. Kanoni, M. Karaleftheri, K.T. Khaw, L. Kinnunen, S.J. Kittner, W. Koenig, I. Kolcic, P. Kovacs, N.T. Krarup, W. Kratzer, J. Krüger, D. Kuh, M. Kumari, T. Kyriakou, C. Langenberg, L. Lannfelt, C. Lanzani, V. Lotay, L.J. Launer, K. Leander, J. Lindström, A. Linneberg, Y.-P. Liu, S. Lobbens, R. Luben, V. Lyssenko, S. Männistö, P.K. Magnusson, W.L. McArdle, C. Menni, S. Merger, L. Milani, G.W. Montgomery, A.P. Morris, N. Narisu, M. Nelis, K.K. Ong, A. Palotie, L. Pérusse, I. Pichler, M.G. Pilia, A. Pouta, M. Rheinberger, R. Ribel-Madsen, M. Richards, K.M. Rice, T.K. Rice, C. Rivolta, V. Salomaa, A.R. Sanders, M.A. Sarzynski, S. Scholtens, R.A. Scott, W.R. Scott, S. Sebert, S. Sengupta, B. Sennblad, T. Seufferlein, A. Silveira, P.E. Slagboom, J.H. Smit, T.H. Sparsø, K. Stirrups, R.P. Stolk, H.M. Stringham, M.A. Swertz, A.J. Swift, A.-C. Syvänen, S.-T. Tan, B. Thorand, A. Tönjes, A. Tremblay, E. Tsafantakis, P.J. van der Most, U. Völker, M.-C. Vohl, J.M. Vonk, M. Waldenberger, R.W. Walker, R. Wennauer, E. Widén, G. Willemsen, T. Wilsgaard, A.F. Wright, M.C. Zillikens, S.C. van Dijk, N.M. van Schoor, F.W. Asselbergs, P.I.W. de Bakker, J.S. Beckmann, J. Beilby, D.A. Bennett, R.N. Bergman, S. Bergmann, C.A. Böger, B.O. Boehm, E. Boerwinkle, D.I. Boomsma, S.R. Bornstein, E.P. Bottinger, C. Bouchard, J.C. Chambers, S.J. Chanock, D.I. Chasman, F. Cucca, D. Cusi, G. Dedoussis, J. Erdmann, J.G. Eriksson, D.A. Evans, U. de Faire, M. Farrall, L. Ferrucci, I. Ford, L. Franke, P.W. Franks, P. Froguel, R.T. Gansevoort, C. Gieger, H. Grönberg, V. Gudnason, U. Gyllensten, P. Hall, A. Hamsten, P. van der Harst, C. Hayward, M. Heliövaara, C. Hengstenberg, A.A. Hicks, A. Hingorani, A. Hofman, F. Hu, H.V. Huikuri, K. Hveem, A.L. James, J.M. Jordan, A. Jula, M. Kähönen, E. Kajantie, S. Kathiresan, L.A.L.M. Kiemeney, M. Kivimaki, P.B. Knekt, H.A. Koistinen, J.S. Kooner, S. Koskinen, J. Kuusisto, W. Maerz, N.G. Martin, M. Laakso, T.A. Lakka, T. Lehtimäki, G. Lettre, D.F. Levinson, L. Lind, M.-L. Lokki, P. Mäntyselkä, M. Melbye, A. Metspalu, B.D. Mitchell, F.L. Moll, J.C. Murray, A.W. Musk, M.S. Nieminen, I. Njølstad, C. Ohlsson, A.J. Oldehinkel, B.A. Oostra, L.J. Palmer, J.S. Pankow, G. Pasterkamp, N.L. Pedersen, O. Pedersen, B.W. Penninx, M. Perola, A. Peters, O. Polašek, P.P. Pramstaller, B.M. Psaty, L. Qi, T. Quertermous, O.T. Raitakari, T. Rankinen, R. Rauramaa, P.M. Ridker, J.D. Rioux, F. Rivadeneira, J.I. Rotter, I. Rudan, H.M. den Ruijter, J. Saltevo, N. Sattar, H. Schunkert, P.E.H. Schwarz, A.R. Shuldiner, J. Sinisalo, H. Snieder, T.I.A. Sørensen, T.D. Spector, J.A. Staessen, B. Stefania, U. Thorsteinsdottir, M. Stumvoll, J.-C. Tardif, E. Tremoli, J. Tuomilehto, A.G. Uitterlinden, M. Uusitupa, A.L.M. Verbeek, S.H. Vermeulen, J.S. Viikari, V. Vitart, H. Völzke, P. Vollenweider, G. Waeber, M. Walker, H. Wallaschofski, N.J. Wareham, H. Watkins, E. Zeggini, A. Chakravarti, D.J. Clegg, L.A. Cupples, P. Gordon-Larsen, C.E. Jaquish, D.C. Rao, G.R. Abecasis, T.L. Assimes, I. Barroso, S.I. Berndt, M. Boehnke, P. Deloukas, C.S. Fox, L.C. Groop, D.J. Hunter, E. Ingelsson, R.C. Kaplan, M.I. McCarthy, K.L. Mohlke, J.R. O'Connell, D. Schlessinger, D.P. Strachan, K. Stefansson, C.M. van Duijn, J.N. Hirschhorn, C.M. Lindgren, I.M. Heid, K.E. North, I.B. Borecki, Z. Kutalik & R.J.F. Loos,
2015, PLoS Genetics
Type: article
Biography
Luke obtained their joint BSc and MSc in Mathematics from Lancaster University in 2021.