Numerical Conformal Mapping
Trefethen, L Notices of the American Mathematical Society volume 72 issue 11 1300 (01 Dec 2025)
Fri, 06 Feb 2026
13:00
L6

Computing Diffusion Geometry

Iolo Jones
(Oxford University)
Abstract

Calculus and geometry are ubiquitous in the theoretical modelling of scientific phenomena, but have historically been very challenging to apply directly to real data as statistics. Diffusion geometry is a new theory that reformulates classical calculus and geometry in terms of a diffusion process, allowing these theories to generalise beyond manifolds and be computed from data. In this talk, I will describe a new, simple computational framework for diffusion geometry that substantially broadens its practical scope and improves its precision, robustness to noise, and computational complexity. We present a range of new computational methods, including all the standard objects from vector calculus and Riemannian geometry, and apply them to solve spatial PDEs and vector field flows, find geodesic (intrinsic) distances, curvature, and several new topological tools like de Rham cohomology, circular coordinates, and Morse theory. These methods are data-driven, scalable, and can exploit highly optimised numerical tools for linear algebra.

Join Oxford University Lifesaving Club at the Rosenblatt Pool, Iffley Road Sports Centre, for LIFESAVING CUPPERS on Sunday 8th February, 4-6 pm. Compete for your college or for the department.

Mon, 26 Jan 2026
17:00
L1

The Fluid Notion of Chirality

Prof. Alain Goriely
((Mathematical Institute University of Oxford))
Abstract

Chirality, the property that an object cannot be superimposed on its mirror image, arises across all scientific disciplines, yet its ultimate origin remains one of the central open questions in Nature. Both fundamental and elusive, chirality plays a decisive role in shaping the structure and behaviour of natural systems. Starting from its classical geometric definition and the long-standing challenge of defining meaningful measures of chirality, this talk develops a natural extension of the concept to field theories by examining the physical response of chiral bodies immersed in fluid flows. This framework leads to a further novel concept in which chirality is attached not only to objects, but also to their smooth deformations. I will address the general problems of chirality, its quantification, and its transfer across scales, trace their historical development, and illustrate the theory through examples drawn from fluid mechanics, chemistry, and biology, revealing unifying principles with some surprising twists.

Low-Resource Quantum Energy Gap Estimation via Randomization
Pages, H Kiumi, C Morohoshi, Y Koczor, B Mitarai, K (20 Jan 2026)
COMBINATORIAL GEOMETRY OF RATIONAL QUASI-INDEPENDENCE MODELS AS TORIC FIBER PRODUCTS
Coons, J Harrington, H Paul, N Algebraic Statistics volume 17 issue 1 1-31 (01 Jan 2026)
Wed, 28 Jan 2026
12:45
TCC VC

Koszul duality and universal line operators

Devon Stockall
Abstract

Koszul duality is a powerful mathematical construction.  In this talk, I will take a physical perspective to demonstrate one instance of this duality: an algebraic approach to coupling quantum field theories to a quantum mechanical system on a line.  I will explain how a Lagrangian coupling results in an algebraic object, called a Maurer-Cartan element, and show that there is a sense in which the Koszul dual to the algebra of local operators gives a “universal coupling”.  I will then describe what Koszul duality really “is”, and why many other mathematical constructions deserve the same name.

Junior Strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimedl at PhD students and post-docs but everyone is welcome.

Prompt Searches for Very-high-energy γ-Ray Counterparts to IceCube Astrophysical Neutrino Alerts
Abhir, J Biland, A Brand, K Bretz, T Dorner, D Eisenberger, L Elsaesser, D Günther, P Hasan, S Hildebrand, D Mannheim, K Linhoff, M Pfeifle, F Rhode, W Schleicher, B Sliusar, V Vorbrugg, M Walter, R Aharonian, F Benkhali, F Aschersleben, J Ashkar, H Backes, M Martins, V Batzofin, R Becherini, Y Berge, D Böttcher, M Boisson, C Bolmont, J Borowska, J Brose, R Brown, A Brun, F Bruno, B Casanova, S Celic, J Cerruti, M Chen, A Chernyakova, M Chibueze, J Chibueze, O Cornejo, B Cotter, G Cozzolongo, G Mbarubucyeye, J de Assis Scarpin, J Giles, A Djannati-Ataï, A Djuvsland, J Dmytriiev, A Egberts, K Egg, K Einecke, S Ernenwein, J Nieves, C Feijen, K Filipovic, M Fontaine, G Funk, S Gabici, S Glicenstein, J Goswami, P Grolleron, G Hess, B Hinton, J Holler, M Jamrozy, M Jankowsky, F Jung-Richardt, I Kasai, E Katarzyński, K Katjaita, H Kerszberg, D Khatoon, R Khélifi, B Kluźniak, W Komin, N Konno, R Kosack, K Kostunin, D Mezek, G Lang, R Lemière, A Lemoine-Goumard, M Lenain, J Luashvili, A Mackey, J Marandon, V Martí-Devesa, G Marx, R Mayer, M Mehta, A Mitchell, A Moderski, R Moghadam, M Mohrmann, L Moulin, E de Naurois, M Niemiec, J de Ona Wilhelmi, E Panny, S Panter, M Parsons, R Pensec, U Pichard, P Pühlhofer, G Punch, M Quirrenbach, A Regeard, M Reimer, O Ren, H Rieger, F Rowell, G Rudak, B Sabri, K Sahakian, V Salzmann, H Sasaki, M Schäfer, J Schüssler, F Schutte, H Senniappan, M Shapopi, J Sharma, A Sol, H Spencer, S Stawarz, Ł Steenkamp, R Steinmassl, S Steppa, C Takahashi, T Tanaka, T Taylor, A Tsirou, M van Eldik, C Vecchi, M Venter, C Vink, J Wach, T Wagner, S Wierzcholska, A Zacharias, M Zdziarski, A Zech, A Żywucka, N Abe, S Abhishek, A Aguasca-Cabot, A Agudo, I Aniello, T Ansoldi, S Antonelli, L Engels, A Arcaro, C Artero, M Asano, K Babić, A Bakshi, C de Almeida, U Barrio, J Barrios-Jiménez, L Batković, I Baxter, J González, J Bednarek, W Bernardini, E Bernete, J Berti, A Besenrieder, J Bigongiari, C Blanch, O Bökenkamp, H Bonnoli, G Bošnjak, Ž Bronzini, E Burelli, I Campoy-Ordaz, A Carosi, A Carosi, R Carretero-Castrillo, M Castro-Tirado, A Cerasole, D Ceribella, G Chai, Y Chilingarian, A Cifuentes, A Contreras, J Cortina, J Covino, S D’Amico, G Da Vela, P Dazzi, F De Angelis, A De Lotto, B Delfino, M Mendez, C Di Pierro, F Di Tria, R Di Venere, L Dinesh, A Prester, D Donini, A Doro, M Escudero, J Fariña, L Fattorini, A Foffano, L Font, L Fröse, S Fukazawa, Y Gasparyan, S Gaug, M Paiva, J Giglietto, N Giordano, F Gliwny, P Godinović, N Gradetzke, T Grau, R Green, D Green, J Hadasch, D Hahn, A Hassan, T Heckmann, L Hrupec, D Imazawa, R Israyelyan, D Martínez, I Quiles, J Jormanainen, J Kankkunen, S Kayanoki, T Konrad, J Kouch, P Kubo, H Kushida, J Láinez, M Lamastra, A Lindfors, E Lombardi, S Longo, F López-Coto, R López-Moya, M López-Oramas, A Loporchio, S Lulić, L Lyard, E Majumdar, P Makariev, M Mallamaci, M Maneva, G Manganaro, M Mangano, S Marchesi, S Mariotti, M Martínez, M Maruševec, P Mas-Aguilar, A Mazin, D Menchiari, S Gallego, J Miceli, D Miranda, J Mirzoyan, R González, M Molina, E Mondal, H Moralejo, A Nakamori, T Nanci, C Neustroev, V Rosillo, M Nigro, C Nikolić, L Nilsson, K Nishijima, K Noda, K Nozaki, S Okumura, A Otero-Santos, J Paiano, S Paneque, D Paredes, J Peresano, M Persic, M Pihet, M Podobnik, F Moroni, P Prandini, E Ribó, M Rico, J Saito, T Sakurai, S Satalecka, K Saturni, F Schmitz, K Schmuckermaier, F Schubert, J Sciaccaluga, A Silvestri, G Sitarek, J Sobczynska, D Stamerra, A Strišković, J Strom, D Strzys, M Suda, Y Tajima, H Takahashi, M Takeishi, R Temnikov, P Terauchi, K Terzić, T Tutone, A Ubach, S van Scherpenberg, J Acosta, M Ventura, S Verna, G Viale, I Vigliano, A Vigorito, C Visentin, E Vitale, V Vovk, I Wersig, F Will, M Yamamoto, T Yeung, P Yoo, S Acharyya, A Archer, A Bangale, P Bartkoske, J Benbow, W Buckley, J Chen, Y Christiansen, J Chromey, A Errando, M Feldman, S Feng, Q Filbert, S Fortson, L Furniss, A Hanlon, W Hervet, O Hinrichs, C Holder, J Hughes, Z Humensky, T Jin, W Johnson, M Kaaret, P Kertzman, M Kherlakian, M Kieda, D Kleiner, T Korzoun, N Lang, M Lundy, M Maier, G Millard, M Millis, J Moriarty, P Mukherjee, R Ning, W Ong, R Pandey, A Pohl, M Quinn, J Rabinowitz, P Ragan, K Reynolds, P Ribeiro, D Roache, E Sadeh, I Sadun, A Saha, L Santander, M Sembroski, G Shang, R Tak, D Talluri, A Tucci, J Valverde, J Vassiliev, V Williams, D Wong, S Buson, S 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 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 Cowen, D De Clercq, C DeLaunay, J Delgado, D Delmeulle, T Deng, S Desiati, P de Vries, K de Wasseige, G DeYoung, T Díaz-Vélez, J DiKerby, S Ding, T 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 Hrywniak, M 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 Kravka, A 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 Macdonald, M Madsen, J Magnus, E 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 Mondal, S 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 Noell, A Novikov, A Obertacke, 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 de los Heros, C Pernice, T Petersen, 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 Ricca, L Riedel, B Rifaie, A Roberts, E Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Ryckbosch, D Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sanger-Johnson, G 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 Sègaard, 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 Vandenbroucke, J Van Eeden, T van Eijndhoven, N Van Rootselaar, L van Santen, J Vara, J 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 Witthaus, L Wolf, M Wrede, G Xu, X Yanez, J Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Jurowitzki, A Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P D’Ammando, F The Astrophysical Journal volume 997 issue 2 (01 Feb 2026)
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