Mathematical Sciences

Gareth Jones

Primary position:
Emeritus Professor

Background

After obtaining an MA and DPhil from the University of Oxford, I have been employed at the University of Southampton since 1971, and a Professor of Mathematics since 2000. My research interests are mainly in Group Theory and its applications to areas such as Combinatorics, Galois Theory, Geometry and Topology. Current research projects involve dessins d'enfants and Beauville surfaces. I have published about 75 papers and have co-authored three textbooks, on Complex Functions, Elementary Number Theory, and Information and Coding Theory. I am currently working on textbooks on dessins d'enfants and the theory of algorithms. I have supervised about a dozen PhD students.

Administrative responsibilities have included periods as Head of the Pure Mathematics Group and as MMath and Single Honours programme coordinator. This academic year I have taught the modules MATH1010/11 Mathematics for Engineers, MATH2045 Vector Calculus and Complex Variable Theory, MATH3032 Communicating and Researching Mathematics, and have taken tutorials in MATH1048 Linear Algebra I.

Professor Gareth Jones's photo

Publications

The University of Southampton's electronic library (e-prints)

Article

Breda d'Azevedo, Antonio, Jones, Gareth and Schulte, Egon (2011) Constructions of chiral polytopes of small rank. Canadian Journal of Mathematics, 63, 1254-1283. (doi:10.4153/CJM-2011-033-4).
Punturo, M., Abernathy, M., Acernese, F., Allen, B., Andersson, Nils, Arun, K., Barone, F., Barr, B., Barsuglia, M., Beker, M., Beveridge, N., Birindelli, S., Bose, S., Bosi, L., Braccini, S., Bradaschia, C., Bulik, T., Calloni, E., Cella, G., Mottin, E. Chassande, Chelkowski, S., Chincarini, A., Clark, J., Coccia, E., Colacino, C., Colas, J., Cumming, A., Cunningham, L., Cuoco, E., Danilishin, S., Danzmann, K., De Luca, G., De Salvo, R., Dent, T., De Rosa, R., Di Fiore, L., Di Virgilio, A., Doets, M., Fafone, V., Falferi, P., Flaminio, R., Franc, J., Frasconi, F., Freise, A., Fulda, P., Gair, J., Gemme, G., Gennai, A., Giazotto, A., Glampedakis, Kostas, Granata, M., Grote, H., Guidi, G., Hammond, G., Hannam, M., Harms, J., Heinert, D., Hendry, M., Heng, I., Hennes, E., Hild, S., Hough, J., Husa, S., Huttner, S., Jones, G.A., Khalili, F., Kokeyama, K., Kokkotas, K., Krishnan, B., Lorenzini, M., Lück, H., Majorana, E., Mandel, I., Mandic, V., Martin, I., Michel, C., Minenkov, Y., Morgado, N., Mosca, S., Mours, B., Müller–Ebhardt, H., Murray, P., Nawrodt, R., Nelson, J., Oshaughnessy, R., Ott, C.D., Palomba, C., Paoli, A., Parguez, G., Pasqualetti, A., Passaquieti, R., Passuello, D., Pinard, L., Poggiani, R., Popolizio, P., Prato, M., Puppo, P., Rabeling, D., Rapagnani, P., Read, J., Regimbau, T., Rehbein, H., Reid, Stuart D., Rezzolla, L., Ricci, F., Richard, F., Rocchi, A., Rowan, S., Rüdiger, A., Sassolas, B., Sathyaprakash, B., Schnabel, R., Schwarz, C., Seidel, P., Sintes, A., Somiya, K., Speirits, F., Strain, K., Strigin, S., Sutton, P., Tarabrin, S., Thüring, A., van den Brand, J., van Leewen, C., van Veggel, M., van den Broeck, C., Vecchio, A., Veitch, J., Vetrano, F., Vicere, A., Vyatchanin, S., Willke, B., Woan, G., Wolfango, P. and Yamamoto, K. (2010) The Einstein Telescope: a third-generation gravitational wave observatory. Classical and Quantum Gravity, 27, (19), 194002-[1-13]. (doi:10.1088/0264-9381/27/19/194002).
Jones, Gareth and Pinto, Daniel (2010) Hypermap operations of finite order. Discrete Mathenatics, 310, (12), 1820-1827. (doi:10.1016/j.disc.2009.12.019).
Punturo, M., Abernathy, M., Acernese, F., Allen, B., Andersson, N., Arun, K., Barone, F., Barr, B., Barsuglia, M., Beker, M., Beveridge, N., Birindelli, S., Bose, S., Bosi, L., Braccini, S., Bradaschia, C., Bulik, T., Calloni, E., Cella, G., Chassande Mottin, E., Chelkowski, S., Chincarini, A., Clark, J., Coccia, E., Colacino, C., Colas, J., Cumming, A., Cunningham, L., Cuoco, E., Danilishin, S., Danzmann, K., De Luca, G., De Salvo, R., Dent, T., Derosa, R., Di Fiore, L., Di Virgilio, A., Doets, M., Fafone, V., Falferi, P., Flaminio, R., Franc, J., Frasconi, F., Freise, A., Fulda, P., Gair, J., Gemme, G., Gennai, A., Giazotto, A., Glampedakis, K., Granata, M., Grote, H., Guidi, G., Hammond, G., Hannam, M., Harms, J., Heinert, D., Hendry, M., Heng, I., Hennes, E., Hild, S., Hough, J., Husa, S., Huttner, S., Jones, G., Khalili, F., Kokeyama, K., Kokkotas, K., Krishnan, B., Lorenzini, M., Lück, H., Majorana, E., Mandel, I., Mandic, V., Martin, I., Michel, C., Minenkov, Y., Morgado, N., Mosca, S., Mours, B., Müller-Ebhardt, H., Murray, P., Nawrodt, R., Nelson, J., Oshaughnessy, R., Ott, C.D., Palomba, C., Paoli, A., Parguez, G., Pasqualetti, A., Passaquieti, R., Passuello, D., Pinard, L., Poggiani, R., Popolizio, P., Prato, M., Puppo, P., Rabeling, D., Rapagnani, P., Read, J., Regimbau, T., Rehbein, H., Reid, S., Rezzolla, L., Ricci, F., Richard, F., Rocchi, A., Rowan, S., Rüdiger, A., Sassolas, B., Sathyaprakash, B., Schnabel, R., Schwarz, C., Seidel, P., Sintes, A., Somiya, K., Speirits, F., Strain, K., Strigin, S., Sutton, P., Tarabrin, S., van den Brand, J., van Leewen, C., van Veggel, M., van den Broeck, C., Vecchio, A., Veitch, J., Vetrano, F., Vicere, A., Vyatchanin, S., Willke, B., Woan, G., Wolfango, P. and Yamamoto, K. (2010) The third generation of gravitational wave observatories and their science reach. Classical and Quantum Gravity, 27, (8), 084007. (doi:10.1088/0264-9381/27/8/084007).
Jones, Gareth and Poulton, Andrew (2010) Maps admitting trialities but not dualities. European Journal of Combinatorics (doi:10.1016/j.ejc.2010.02.001 ). (Submitted).
Jones, Gareth (2010) Regular embeddings of complete bipartite maps: classification and enumeration. Proceedings of the London Mathematical Society (doi:10.1112/plms/pdp061).
Jones, G.A. (2010) Maps related to Grigorchuk's group. European Journal of Combinatorics (doi:10.1016/j.ejc.2009.03.025 ). (Submitted).
Breda d'Azevedo, Antonio and Jones, Gareth (2009) Totally chiral maps and hypermaps of small genus. Journal of Algebra, 322, (11), 3971-3996. (doi:10.1016/j.jalgebra.2009.02.017 ).
Jones, Gareth, Streit, M. and Wolfart, J. (2009) Wilson's map operations on regulat dessins and cyclotomic fields of definition. Proceedings of the London Mathematical Society, 100, (2), 510-532. (doi:10.1112/plms/pdp033).
Breda d'Azevedo, Antonio, Jones, Gareth, Nedela, Roman and Skoviera, Martin (2009) Chirality groups of maps and hypermaps. Journal of Algebraic Combinatorics, 29, (3), 337-355. (doi:10.1007/s10801-008-0138-z).
Jones, Gareth Aneurin (2008) Exotic behaviour of infinite hypermaps. Ars Mathematica Contemporanea, 1, (1), 51-65.
Belolipetsky, Mikhail and Jones, Gareth A. (2005) A bound for the number of automorphisms of an arithmetic Riemann surface. Mathematical Proceedings of the Cambridge Philosophical Society, 138, (2), 289-299. (doi:10.1017/S0305004104008035).
Jones, G.A. (2005) Automorphisms and regular embeddings of merged Johnson graphs. European Journal of Combinatorics, 26, (3-4), 417-435. (doi:10.1016/j.ejc.2004.01.012).
Jones, G.A. and Zvonkin, A. (2002) Orbits of braid groups on cacti. Moscow Mathematical Journal, 2, (1), 129-162.
Cameron, P.J., Guidici, M., Jones, G.A., Kantor, W.M., Klin, M.H., Marusic, D. and Nowitz, L. A. (2002) Transitive permutation groups without semiregular subgroups. Journal of the London Mathematical Society, 66, (2), 325-333. (doi:10.1112/S0024610702003484).
 

Research

Research Interests

Group theory, and its applications to geometry, topology, combinatorics and Galois theory

Primary research group:  Pure Mathematics

Contact

Professor Gareth Jones
Mathematical Sciences
University of Southampton
Highfield
Southampton
SO17 1BJ

Room Number: 54/8035

Telephone: (023) 8059 5157
Facsimile: (023) 8059 5147
Email: G.A.Jones@soton.ac.uk