Probing neutrino emission at GeV energies from compact binary mergers detected during O1-O4a with the IceCube Neutrino Observatory
 Kruiswijk, K Lamoureux, M Vereecken, M Wasseige, G (18 Jul 2025) https://arxiv.org/abs/2507.13698v1
The IceCube Collaboration -- Contributions to the 39th International Cosmic Ray Conference (ICRC2025)
 Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Ali, S Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X Baines-Holmes, J V, A Barwick, S Bash, S Basu, V Bay, R Beatty, J Tjus, J Behrens, P Beise, J Bellenghi, C Benkel, B BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bodo, I Bontempo, F Motzkin, J Meneguolo, C Böser, S Botner, O Böttcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Burley, R Butterfield, D Campana, M Carloni, K Carpio, J Chattopadhyay, S Chau, N Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Borja, D Connolly, A Conrad, J Corley, R Cowen, D Clercq, C DeLaunay, J Delgado, D Delmeulle, T Deng, S Desiati, P Vries, K Wasseige, G DeYoung, T Díaz-Vélez, J DiKerby, S Dittmer, M Domi, A Draper, L Dueser, L Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Elsässer, D Engel, R Erpenbeck, H Esmail, W Eulig, S Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Fürst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A Glaser, C Glüsenkamp, T Gonzalez, J Goswami, S Granados, A Grant, D Gray, S Griffin, S Griswold, S Groth, K Guevel, D Günther, C Gutjahr, P Ha, C Haack, C Hallgren, A Halve, L Halzen, F Hamacher, L Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Häußler, J Helbing, K Hellrung, J Henke, B Hennig, L Henningsen, F Heuermann, L Hewett, R Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hooper, D Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Kamp, N Kang, D Kang, W Kang, X Kappes, A Kardum, L Karg, T Karl, M Karle, A Katil, A Kauer, M Kelley, J Khanal, M Zathul, A Kheirandish, A Kimku, H Kiryluk, J Klein, C Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Köpke, L Kopper, C Koskinen, D Koundal, P Kowalski, M Kozynets, T Krieger, N Krishnamoorthi, J Krishnan, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Gualda, C Arnaud, L Lamoureux, M Larson, M Lauber, F Lazar, J DeHolton, K Leszczyńska, A Liao, J Lin, C Liu, Y Liubarska, M Love, C Lu, L Lucarelli, F Luszczak, W Lyu, Y Madsen, J Magnus, E Mahn, K Makino, Y Manao, E Mancina, S Mand, A Mariş, I Marka, S Marka, Z Marten, L Martinez-Soler, I Maruyama, R Mauro, J Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Molchany, L Montaruli, T Moore, R Morii, Y Mosbrugger, A Moulai, M Mousadi, D Moyaux, E Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J Neste, L Neumann, M Niederhausen, H Nisa, M Noda, K Noell, A Novikov, A Pollmann, A O'Dell, V Olivas, A Orsoe, R Osborn, J O'Sullivan, E Palusova, V Pandya, H Parenti, A Park, N Parrish, V Paudel, E Paul, L Heros, C Pernice, T Peterson, J Plum, M Pontén, A Poojyam, V Popovych, Y Rodriguez, M Pries, B Procter-Murphy, R Przybylski, G Pyras, L Raab, C Rack-Helleis, J Rad, N Ravn, M Rawlins, K Rechav, Z Rehman, A Reistroffer, I Resconi, E Reusch, S Rho, C Rhode, W Ricca, L Riedel, B Rifaie, A Roberts, E Robertson, S Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Ryckbosch, D Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sanger-Johnson, G Santander, M Sarkar, S Savelberg, J Scarnera, M Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seunarine, S Myhr, P Shah, R Shefali, S Shimizu, N Skrzypek, B Snihur, R Soedingrekso, J Søgaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Stürwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thakuri, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Toscano, S Tosi, D Trettin, A Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Valverde, J Vandenbroucke, J Eeden, T Eijndhoven, N Rootselaar, L Santen, J Carbonell, F Varsi, F Venugopal, M Vereecken, M Carrasco, S Verpoest, S Veske, D Vijai, A Villarreal, J Walck, C Wang, A Warrick, E Weaver, C Weigel, P Weindl, A Weldert, J Wen, A Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Williams, D Witthaus, L Wolf, M Wrede, G Xu, X Yañez, J Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P Collaboration, I (11 Jul 2025) https://arxiv.org/abs/2507.08666v2
Advances in reconstructing the cosmic-ray energy spectrum with IceTop
 Pyras, L Paul, L Rawlins, K Reistroffer, I Thakuri, A (11 Jul 2025) https://arxiv.org/abs/2507.08691v1
The IceCube-Gen2 Collaboration -- Contributions to the 39th International Cosmic Ray Conference (ICRC2025)
 Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Ali, S Amin, N Andeen, K Anton, G Argüelles, C Ashida, Y Athanasiadou, S Audehm, J Axani, S Babu, R Bai, X V, A Baricevic, M Barwick, S Basu, V Bay, R Tjus, J Behrens, P Beise, J Bellenghi, C Benkel, B BenZvi, S Berley, D Bernardini, E Besson, D Bishop, A Blaufuss, E Bloom, L Blot, S Bohmer, M Bontempo, F Motzkin, J Borowka, J Meneguolo, C Böser, S Botner, O Böttcher, J Bouma, S Braun, J Brinson, B Brisson-Tsavoussis, Z Burley, R Bustamante, M Butterfield, D Campana, M Carloni, K Cataldo, M Chattopadhyay, S Chau, N Chen, Z Chirkin, D Choi, S Clark, B Clark, R Coleman, A Coleman, P Collin, G Borja, D Conrad, J Corley, R Cowen, D Deaconu, C Clercq, C Kockere, S DeLaunay, J Delgado, D Delmeulle, T Deng, S Desai, A Desiati, P Vries, K Wasseige, G Díaz-Vélez, J DiKerby, S Dittmer, M Do, G Domi, A Draper, L Dueser, L Dujmovic, H Durnford, D Dutta, K DuVernois, M Egby, T Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Elsässer, D Engel, R Erpenbeck, H Esmail, W Eulig, S Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Finley, C Fischer, L Flaggs, B Fox, D Franckowiak, A Fujii, T Fukami, S Fürst, P Gallagher, J Ganster, E Garcia, A Garg, G Genton, E Gerhardt, L Ghadimi, A Giri, P Glaser, C Glüsenkamp, T Goswami, S Granados, A Grant, D Gray, S Griffin, S Griswold, S Guevel, D Günther, C Gutjahr, P Ha, C Haack, C Hallgren, A Hallmann, S Halve, L Halzen, F Hamacher, L Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Häußler, J Heinen, D Helbing, K Hellrung, J Hendricks, B Henke, B Hennig, L Henningsen, F Henrichs, J Heuermann, L Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hoffman, K Hoffmann, B Hooper, D Hori, S Hoshina, K Hostert, M Hou, W Huber, T Huege, T Santiago, E Hultqvist, K Hussain, R Hymon, K Ishihara, A Ishii, T Iwakiri, W Jacquart, M Jain, S Jaitly, A Janik, O Jansson, M Jeong, M Jin, M Kalekin, O Kamp, N Kang, D Kang, W Kang, X Kappes, A Kardum, L Karg, T Karl, M Karle, A Katil, A Katori, T Katz, U Kauer, M Kelley, J Khanal, M Zathul, A Kheirandish, A Kiryluk, J Kleifges, M Klein, C Klein, S Kobayashi, T Kobayashi, Y Kochocki, A Kolanoski, H Kontrimas, T Köpke, L Kopper, C Koskinen, D Koundal, P Kowalski, M Kozynets, T Kravchenko, I Krieger, N Krishnamoorthi, J Krishnan, T Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Arnaud, L Larson, M Lauber, F DeHolton, K Leszczyńska, A Liao, J Liu, M Liubarska, M Lohan, M LoSecco, J Love, C Lu, L Lucarelli, F Lyu, Y Madsen, J Magnus, E Mahn, K Makino, Y Manao, E Mancina, S Mandalia, S Sainte, W Mariş, I Marka, S Marka, Z Marsee, M Marten, L Martinez-Soler, I Maruyama, R Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Meyers, Z Mikhailova, M Millsop, A Mitchell, J Montaruli, T Moore, R Morii, Y Morse, R Mosbrugger, A Moulai, M Mousadi, D Mukherjee, T Muzio, M Naab, R Nakos, M Narayan, A Naumann, U Necker, J Nelles, A Neste, L Neumann, M Niederhausen, H Nisa, M Noda, K Noell, A Novikov, A Oberla, E Pollmann, A O'Dell, V Olivas, A Orsoe, R Osborn, J O'Sullivan, E Palusova, V Papp, L Parenti, A Park, N Paudel, E Paul, L Heros, C Pernice, T Petersen, T Peterson, J Pizzuto, A Plum, M Pontén, A Popovych, Y Rodriguez, M Pries, B Procter-Murphy, R Przybylski, G Pyras, L Rack-Helleis, J Rad, N Rameez, M Ravn, M Rawlins, K Rechav, Z Rehman, A Resconi, E Reusch, S Rho, C Rhode, W Riedel, B Riegel, M Rifaie, A Roberts, E Robertson, S Rongen, M Rott, C Ruhe, T Ruohan, L Ryckbosch, D Safa, I Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sandstrom, P Sanger-Johnson, G Santander, M Sarkar, S Savelberg, J Savina, P Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Selcuk, Z Seunarine, S Shaevitz, M Shah, R Shefali, S Shimizu, N Silva, M Skrzypek, B Snihur, R Soedingrekso, J Søgaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Stoffels, J Stürwald, T Stuttard, T Sullivan, G Taboada, I Taketa, A Tamang, T Tanaka, H Ter-Antonyan, S Terliuk, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Torres, J Toscano, S Tosi, D Trettin, A Tsunesada, Y Twagirayezu, J Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Valverde, J Vandenbroucke, J Eeden, T Eijndhoven, N Rootselaar, L Santen, J Carbonell, F Varsi, F Veberic, D Veitch-Michaelis, J Venugopal, M Carrasco, S Verpoest, S Vieregg, A Vijai, A Villarreal, J Walck, C Wang, A Washington, D Weaver, C Weigel, P Weindl, A Weldert, J Wen, A Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Williams, D Wissel, S Witthaus, L Wolf, M Wörner, G Wrede, G Wren, S Xu, X Yañez, J Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zierke, S Zilberman, P Zimmerman, M Collaboration, I (11 Jul 2025) https://arxiv.org/abs/2507.08667v2
Investigation of Electromagnetic and Muonic Air-Shower Components using IceTop Simulations
 Draper, L Varsi, F Soldin, D (11 Aug 2025) https://arxiv.org/abs/2508.08478v1
Mon, 12 Oct 2026
16:00
C4

Product-free subsets of (0,1) and a strengthened Brunn–Minkowski inequality

Leonardo Franchi
(University of Cambridge (DPMMS))
Abstract
The third problem in Ben Green’s collection of 100 open problems asks whether an open subset of (0,1) containing no x,y,z satisfying xy=z must have measure at most 1/3. In joint work with W. Timothy Gowers and Fredy Yip, we proved this result.
In this talk, I will discuss some of the motivations behind the problem, as well as some of the new tools developed to prove a strengthened version of the one dimensional Brunn–Minkowski inequality that plays a key role in the argument.
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Song of the Week: The Blow Monkeys - It Doesn't Have to Be This Way

Dr Robert, leader of the Blow Monkeys, took his name from a Beatles song. The comparison with the Fab Four ends there, but this is also fab.

You may think it sounds a like a pop/soul love song, but in fact it is a critique of the socio-economic conditions in Britain at the time.

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