These highly interactive sessions introduce students to aspects or applications of maths which are not usually covered in the school curriculum.
Measurement of Atmospheric Neutrino Oscillations at 6-56 GeV with IceCube DeepCore.
Aartsen, M Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Al Samarai, I Altmann, D Andeen, K Anderson, T Ansseau, I Anton, G Argüelles, C Auffenberg, J Axani, S Bagherpour, H Bai, X Barron, J Barwick, S Baum, V Bay, R Beatty, J Becker Tjus, J Becker, K BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Börner, M Bos, F Bose, D Böser, S Botner, O Bourbeau, J Bradascio, F Braun, J Brayeur, L Brenzke, M Bretz, H Bron, S Brostean-Kaiser, J Burgman, A Carver, T Casey, J Casier, M Cheung, E Chirkin, D Christov, A Clark, K Classen, L Coenders, S Collin, G Conrad, J Cowen, D Cross, R Day, M de André, J De Clercq, C DeLaunay, J Dembinski, H De Ridder, S Desiati, P de Vries, K de Wasseige, G de With, M DeYoung, T Díaz-Vélez, J di Lorenzo, V Dujmovic, H Dumm, J Dunkman, M Eberhardt, B Ehrhardt, T Eichmann, B Eller, P Evenson, P Fahey, S Fazely, A Felde, J Filimonov, K Finley, C Flis, S Franckowiak, A Friedman, E Fuchs, T Gaisser, T Gallagher, J Gerhardt, L Ghorbani, K Giang, W Glauch, T Glüsenkamp, T Goldschmidt, A Gonzalez, J Grant, D Griffith, Z Haack, C Hallgren, A Halzen, F Hanson, K Hebecker, D Heereman, D Helbing, K Hellauer, R Hickford, S Hignight, J Hill, G Hoffman, K Hoffmann, R Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Hultqvist, K Hünnefeld, M In, S Ishihara, A Jacobi, E Japaridze, G Jeong, M Jero, K Jones, B Kalaczynski, P Kang, W Kappes, A Karg, T Karle, A Katz, U Kauer, M Keivani, A Kelley, J Kheirandish, A Kim, J Kim, M Kintscher, T Kiryluk, J Kittler, T Klein, S Kohnen, G Koirala, R Kolanoski, H Köpke, L Kopper, C Kopper, S Koschinsky, J Koskinen, D Kowalski, M Krings, K Kroll, M Krückl, G Kunnen, J Kunwar, S Kurahashi, N Kuwabara, T Kyriacou, A Labare, M Lanfranchi, J Larson, M Lauber, F Lennarz, D Lesiak-Bzdak, M Leuermann, M Liu, Q Lu, L Lünemann, J Luszczak, W Madsen, J Maggi, G Mahn, K Mancina, S Maruyama, R Mase, K Maunu, R McNally, F Meagher, K Medici, M Meier, M Menne, T Merino, G Meures, T Miarecki, S Micallef, J Momenté, G Montaruli, T Moore, R Moulai, M Nahnhauer, R Nakarmi, P Naumann, U Neer, G Niederhausen, H Nowicki, S Nygren, D Obertacke Pollmann, A Olivas, A O'Murchadha, A Palczewski, T Pandya, H Pankova, D Peiffer, P Pepper, J Pérez de Los Heros, C Pieloth, D Pinat, E Plum, M Price, P Przybylski, G Raab, C Rädel, L Rameez, M Rawlins, K Rea, I Reimann, R Relethford, B Relich, M Resconi, E Rhode, W Richman, M Robertson, S Rongen, M Rott, C Ruhe, T Ryckbosch, D Rysewyk, D Sälzer, T Sanchez Herrera, S Sandrock, A Sandroos, J Sarkar, S Satalecka, K Schlunder, P Schmidt, T Schneider, A Schoenen, S Schöneberg, S Schumacher, L Seckel, D Seunarine, S Soedingrekso, J Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stasik, A Stettner, J Steuer, A Stezelberger, T Stokstad, R Stößl, A Strotjohann, N Sullivan, G Sutherland, M Taboada, I Tatar, J Tenholt, F Ter-Antonyan, S Terliuk, A Tešić, G Tilav, S Toale, P Tobin, M Toscano, S Tosi, D Tselengidou, M Tung, C Turcati, A Turley, C Ty, B Unger, E Usner, M Vandenbroucke, J Van Driessche, W van Eijndhoven, N Vanheule, S van Santen, J Vehring, M Vogel, E Vraeghe, M Walck, C Wallace, A Wallraff, M Wandler, F Wandkowsky, N Waza, A Weaver, C Weiss, M Wendt, C Werthebach, J Westerhoff, S Whelan, B Wiebe, K Wiebusch, C Wille, L Williams, D Wills, L Wolf, M Wood, J Wood, T Woolsey, E Woschnagg, K Xu, D Xu, X Xu, Y Yanez, J Yodh, G Yoshida, S Yuan, T Zoll, M Physical Review Letters volume 120 issue 7 071801-071801 (Feb 2018)

It is an intriguing fact that the 3-dimensional world in which we live is, from a mathematical point of view, rather special. Dimension 3 is very different from dimension 4 and these both have very different theories from that of dimensions 5 and above. The study of space in dimensions 2, 3 and 4 is the field of low-dimensional topology, the research area of Oxford Mathematician Marc Lackenby.

Constraints on Galactic Neutrino Emission with Seven Years of IceCube Data
Aartsen, M Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Al Samarai, I Altmann, D Andeen, K Anderson, T Ansseau, I Anton, G Arguelles, C Auffenberg, J Axani, S Bagherpour, H Bai, X Barron, J Barwick, S Baum, V Bay, R Beatty, J Tjus, J Becker, K BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Borner, M Bos, F Bose, D Boeser, S Botner, O Bourbeau, J Bradascio, F Braun, J Brayeur, L Brenzke, M Bretz, H Bron, S Burgman, A Carver, T Casey, J Casier, M Cheung, E Chirkin, D Christov, A Clark, K Classen, L Coenders, S Collin, G Conrad, J Cowen, D Cross, R Day, M de Andre, J De Clercq, C DeLaunay, J Dembinski, H De Ridder, S Desiati, P de Vries, K de Wasseige, G de With, M DeYoung, T Diaz-Velez, J di Lorenzo, V Dujmovic, H Dumm, J Dunkmanm, M Eberhardt, B Ehrhardt, T Eichmann, B Ellerm, P Evenson, P Fahey, S Fazely, A Felde, J Filimonov, K Finley, C Flis, S Franckowiak, A Friedman, E Fuchs, T Gaisser, T Gallagher, J Gerhardt, L Ghorbani, K Giang, W Glauch, T Glusenkamp, T Goldschmidt, A Gonzalez, J Grant, D Griffith, Z Haack, C Hallgren, A Halzen, F Hanson, K Hebecker, D Heereman, D Helbing, K Hellauer, R Hickford, S Hignight, J Hills, G Hoffman, K Hoffmann, R Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Hultqvist, K In, S Ishihara, A Jacobi, E Japaridze, G Jeong, M Jero, K Jones, B Kalacynskim, P Kang, W Kappes, A Karg, T Karle, A Katz, U Kauer, M Keivani, A Kelley, J Kheirandish, A Kim, J Kim, M Kintscher, T Kiryluk, J Kittler, T Klein, S Kohnen, G Koirala, R Kolanoski, H Kopke, L Kopper, C Kopper, S Koschinsky, J Koskinen, D Kowalski, M Krings, K Kroll, M Kriickl, G Kunnenu, J Kunwar, S Kurahashi, N Kuwabara, T Kyriacou, A Labare, M Lanfranchim, J Larson, M Lauber, F Lennarz, D Lesiak-Bzdak, M Leuermann, M Liu, Q Lu, L Lunemann, J Luszczak, W Madsen, J Maggi, G Mahn, K Mancina, S Maruyamau, R Mase, K Maunu, R McNally, F Meagher, K Medici, M Meier, M Menne, T Merino, G Meures, T Miarecki, S Micallef, J Momente, G Montaruli, T Moore, R Moulai, M Nahnhauer, R Nakarmi, P Naumann, U Neer, G Niederhausen, H Nowicki, S Nygren, D Pollmann, A Olivas, A O'Murchadha, A Palczewski, T Pandya, H Pankova, D Peiffer, P Pepper, J Heros, C Pieloth, D Pinat, E Plums, M Price, P Przybylski, G Raab, C Radel, L Rameez, M Rawlins, K Reimann, R Relethford, B Relich, M Resconi, E Rhode, W Richman, M Robertson, S Rongen, M Rott, C Ruhe, T Ryckbosch, D Rysewyk, D Salzer, T Herrera, S Sandrock, A Sandroos, J Sarkar, S Satalecka, K Schlunder, P Schmidt, T Schneider, A Schoenen, S Schoneberg, S Schumacher, L Seckel, D Seunarine, S Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stanev, T Stasik, A Stettner, J Steuer, A Stezelberger, T Stokstad, R Stossl, A Strotjohann, N Sullivan, G Sutherland, M Taboada, I Tatar, J Tenholt, F Ter-Antonyan, S Terliuk, A Tesic, G Tilav, S Toale, P Tobin, M Toscano, S Tosi, D Tselengidou, M Tung, C Turcati, A Turley, C Ty, B Unger, E Usner, M Vandenbroucke, J Van Driessche, W van Eijndhoven, N Vanheule, S van Santen, J Vehring, M Vogel, E Vraeghe, M Walck, C Wallace, A Wallraffm, M Wandler, F Wandkowsky, N Waza, A Weaver, C Weiss, M Wendt, C Westerhoff, S Whelan, B Wickmann, S Wiebem, K Wiebusch, C Wille, L Williams, D Wills, L Wolf, M Wood, J Wood, T Woolsey, E Woschnagg, K Xu, D Xu, X Xu, Y Yanez, J Yodh, G Yoshida, S Yuan, T Zoll, M Collaboration, I Astrophysical Journal volume 849 issue 1 (31 Oct 2017) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000414185700011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

As part of our series of research articles deliberately focusing on the rigour and intricacies of mathematics, we look at Oxford Mathematician Minyhong Kim's research in to the relationship between number theory and topology. Minhyong Kim is Professor of Number Theory here in Oxford and Fellow of Merton College.

It is probably well-known that number theory is the source of some of the oldest and most accessible questions in mathematics:

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