Mathematics workshops

This workshop connects mathematical and theoretical neuroscience approaches to the dynamics of densely connected recurrent spiking networks. Mean-field methods link individual-neuron dynamics with population behaviour, while low-dimensional collective dynamics and low-rank connectivity provide complementary descriptions informed by experiments and simulations. Researchers with mathematical and physics backgrounds alternate presentations to compare these perspectives. Public research lectures run from Monday afternoon through Wednesday, followed by doctoral tutorials on Thursday and Friday at the Bernoulli Center, EPFL, Lausanne. Registration begins at 13:30 on 2 November, with the introduction at 13:45 and talks from 14:00. Tuesday and Wednesday lectures and Thursday and Friday tutorials start at 09:00. Times are Europe/Zurich, CET (UTC+01:00). Seats are limited; researchers from outside EPFL pay CHF90 and commit to attending the lecture sessions. Tutorials are restricted to PhD students. Separate registration forms for doctoral students and other researchers are linked on the official workshop page. Preparation assumes mathematics or physics at master’s level and familiarity with computational neuroscience.

This RICAM workshop examines the numerical foundations of reliable deep-learning computation. Low-precision and mixed-precision arithmetic, quantization and parallel GPU computation enable larger models and deployment on constrained devices, while introducing questions about error, stability and performance. Researchers from theoretical and applied communities will compare methods for stable training and efficient inference and identify directions for further work. The programme brings together expertise in numerical analysis, machine learning and hardware-aware computation. The in-person workshop runs on 2–6 November at RICAM, Science Park 2, fourth floor, Altenberger Straße 69, Linz. Monday registration and welcome run 14:00–14:40, followed by talks until 17:00. Tuesday through Friday sessions begin at 09:00; Friday’s programme ends at 11:40. Times are Europe/Vienna, CET (UTC+01:00). Register through the special-semester form, select Workshop 2 and Regular Participant, and use an institutional email address to verify affiliation. Registration is binding; the organizer asks for cancellation at least one week before the workshop and states that unreported non-attendance can exclude participants from future events.

Explore recent results in symplectic, Hamiltonian and contact dynamics, emphasizing the use of holomorphic curves and spectral invariants. The workshop connects these techniques with symplectic geometry and considers how they may extend to more general dynamical systems. 2–6 November 2026, Eastern Standard Time (America/New_York). The scientific programme starts Monday at 09:00, with registration from 08:30, and ends Friday at 12:30. Monday–Thursday sessions extend to 17:00. In-person tickets cost USD 25 and seating is limited; registration is required except for IAS faculty, members and speakers.

The second M4H workshop brings mathematics, data science and medical research together to improve care. Mathematical models, numerical methods, statistics and machine learning support precision medicine, healthcare-resource allocation and multimodal patient-data analysis. Keynotes examine evolutionary cancer treatment and model-driven digital twins, longitudinal health records, topology and geometry for cyclic gene expression, statistical approaches to individual mental-health variation and patient-specific blood-flow simulation. Panels connect these methods with cardiovascular medicine, health data science and sustainable brain health. The Department of Mathematics at Politecnico di Milano hosts the in-person workshop on 11–13 November 2026 in Aula Rogers, Building 11, Via Ampère 2, Milan. Posters use Aula Vetrata, Trifoglio Building 13, Via Bonardi 9. The programme runs 11 November 14:00–19:30, 12 November 09:00–18:10 and 13 November 09:00–16:00. Times are Europe/Rome, CET (UTC+01:00). Registration is free and open until 15 October through the form on the official workshop page. Speaking slots are invitation only; general attendance is open, and participants may submit poster abstracts.

Connect numerical approaches to classical and quantum initial-boundary-value problems. The workshop examines deterministic wave propagation, fluid dynamics and general relativity alongside fluctuating quantum fields and hydrodynamics. Invited perspectives and contributed talks explore shared modelling challenges, including symmetry-preserving and mimetic discretisation, summation-by-parts methods, action-based formulations, lattice field theory, stochastic partial differential equations and quantum computing. Researchers in theoretical physics and applied mathematics will compare methods and identify opportunities for collaboration across these neighbouring fields. 19 November 2026 at 09:00 through 21 November at 17:00, Asia/Seoul (KST, UTC+9). Participant registration closes on 8 November 2026 and requires an Indico account. Capacity is 70. Contributed abstracts are due 25 October.

Solve shape-analysis problems in R using measurements, landmarks and outlines. The programme develops data organisation and image processing before geometric transformations, alternative superimposition methods and Procrustes analysis. Participants visualise shape differences, test allometry and multivariate hypotheses, and compare principal-component, discriminant and regression approaches. Outline analysis introduces several Fourier representations and their statistical interpretation; participants can bring their own morphological datasets. Live sessions: 10, 11, 14, 15, 16, 17 and 18 December, 12:00–17:00, Europe/Madrid (CET, UTC+01:00). Total 40 hours: 35 live plus five independent. English-language live online course; Fee €495 until 31 October, then €565; Ambassador rates €396/€452. VAT included. Capacity: 16. Basic R, multivariate statistics and geometric morphometrics are recommended; this is not an introductory morphometrics course. Registration requires acceptance; payment follows confirmation. Recordings are provided, but live attendance is required for a certificate.

NeurReps, Symmetry and Geometry in Neural Representations, is a NeurIPS workshop that brings together mathematicians, machine learning researchers and neuroscientists working to uncover the geometric principles shared by brains and machines. In neuroscience, mounting evidence suggests that neural circuits encode task and environmental structure through low-dimensional manifolds, conserved symmetries and structured transformations; in deep learning, sparsity, equivariance and compositionality are guiding the development of more generalisable and interpretable models. Following editions from 2022 to 2025, NeurReps 2026 expands into geometric representation steering and geometric mechanistic interpretability and introduces a Findings track to foster collaboration between experimentalists and theorists, alongside an archival proceedings track published in a dedicated PMLR volume. The programme combines invited talks, contributed papers and a panel session on topology, geometry and neuroscience towards a unified framework. The workshop runs from 8:00 to 17:00 AEDT on Friday 11 December 2026 in Hall 4 of the International Convention Centre (ICC) Sydney. It is organised by Francisco Acosta, David Klindt, Louisa Cornelis, Alison Pouplin, Nina Miolane and Fatih Dinc.

The second UK Theoretical Neuroscience Workshop is a one-day meeting of talks and posters on mathematical and computational approaches to brain function, organised by Stephen Coombes (University of Nottingham) and Dimitrios Pinotsis (City St George's, University of London). Talks include Peter Latham (UCL) on time and task management in complex environments; Magnus Richardson (University of Warwick) on spatiotemporal coarse-graining of activity within neurons and across networks; Rafal Bogacz (University of Oxford) on predictive dendrites as a foundation for biological learning; Arnd Roth (UCL) on brain-wide dendritic signals that exhibit circuit-specific behavioural modulation; Mark Humphries (University of Nottingham) on cortical control of rhythmic and discrete arm movements; Vladimir Litvak (UCL) on why the low effective dimensionality of the human functional connectome does not invalidate lesion network mapping; and Massimiliano Di Luca (University of Birmingham) on temporal inference in perception and coordinated action. Angus Chadwick (University of Edinburgh) and Eirini Mavritsaki (Birmingham City University) also speak. The workshop runs from 09:00 to 18:10 on Friday 18 December 2026 at City St George's, University of London, with talks in the Northampton Suite (B411) and posters in The Pavilion of the University Building, Northampton Square. Attendance is free but registration is mandatory. Poster abstracts are due on 20 November 2026, and a poster award will be given.

This workshop examines the fifty-year influence of Barry Mazur’s work on modular curves and the Eisenstein ideal. It connects congruences between modular forms with Diophantine problems, elliptic-curve torsion, arithmetic geometry and the Langlands programme, then considers subsequent advances and open conjectures. Graduate students, postdoctoral researchers and faculty should know algebraic number theory, elliptic curves and modular forms; experience with Galois representations or Iwasawa theory is helpful. Accommodation is provided for participants travelling to ICTS.

Mechanistic cancer models and data-driven learning offer complementary ways to understand tumour behaviour and improve individualized treatment. This workshop explores how mathematical modelling can be combined with machine and deep learning, bringing together data scientists and mathematical oncologists. Plenary lectures survey current developments, while collaborative group projects develop algorithms that integrate mechanistic knowledge with observations. The programme aims to turn methodological exchange into sustained collaborations and more informative approaches to personalized cancer care.

Quantify biological shape variation and its covariation with the physical environment through geometric morphometrics. This introductory workshop develops landmark and semilandmark configurations, data acquisition and digitisation, Generalized Procrustes Analysis and shape space. Participants compare alternative alignment methods, visualise thin-plate-spline deformations in two and three dimensions, and use principal components, multivariate regression and allometry to interpret variation. Practical work uses TPS software and MorphoJ, with emphasis on interpreting biological questions through geometric and statistical methods. 14, 15, 18, 19 and 20 January 2027, each 14:00–19:00, Europe/Madrid (CET, UTC+1); 25 live hours. English; intended for graduates and researchers in biological sciences and related disciplines. No previous morphometrics experience required; familiarity with multivariate statistics recommended. Eighteen places. EUR 476 through 31 October 2026, then EUR 580; Ambassador Institution fees EUR 380.80 and EUR 464, respectively. Live attendance is required for the certificate. Payment follows acceptance; advertised fees include VAT.

This workshop examines how the overall structure of a graph is constrained by its smaller configurations. Building on the graph-minor viewpoint and its structural theorems, the programme addresses recent advances in three complementary directions: coarse structure, induced subgraphs and vertex-minors. Researchers will compare these approaches to understand how different notions of substructure determine global graph organization.

This school and workshop joins physics, applied mathematics and ecology to understand ecological dynamics and biodiversity across scales. Students learn to connect empirical data with individual-based models, differential equations, stochastic dynamics and complex interaction networks. The curriculum addresses marine species fluctuations, metapopulations, microbial ecology, animal movement, spatial scaling of plant communities, habitat fragmentation and evolutionary rescue. The January 23–24 workshop includes invited and contributed talks, posters, and discussion of theoretical ecology's future in South America. Master's and doctoral students are the principal school audience; advanced undergraduates and postdoctoral researchers may also apply. There is no registration fee, and limited travel and local support is available. School applications closed on 25 October 2026; the workshop application deadline is 20 November 2026.

This course introduces Markov and latent-state models for longitudinal observations. Participants learn model specification, estimation and interpretation, including covariate extensions and responses that are continuous, categorical or incomplete. Worked examples and exercises use the LMest package in R and connect the statistical assumptions with applied research questions. It is designed for academic and industry participants with little prior probability training; basic R familiarity is helpful. The four online sessions run 14:00–17:00 Berlin local time. The listed package fee is €420.

Topological data analysis captures connectivity, loops and multiscale organization that can be obscured by assuming data occupy ordinary Euclidean space. The workshop connects this mathematical viewpoint with the need for interpretable, robust learning systems. Mathematicians, computer scientists and researchers in chemistry, biology and materials science will examine theory, computational methods and scientific applications. Discussions link mathematical frameworks, efficient algorithms and practical datasets, with the goal of developing reliable, scalable methods and connecting early-career researchers across these communities.

Mathematicians and physicists will investigate how topological structures constrain quantum fields and quantum gravity. Properties unchanged by local deformation can impose strong restrictions on microscopic physical theories. The programme brings together expertise in topology and quantum theory to study broader classes of these structures and their implications for physics at very short distance scales.

Researchers investigate three- and four-dimensional manifolds and their connections to algebraic topology, differential geometry, group theory and theoretical physics. The programme considers major recent results alongside unresolved questions, including smooth four-dimensional topology, surgery, L-spaces and the effectiveness of geometrisation. It brings international experts together with Indian researchers and doctoral students. Participants should already know basic algebraic topology, differential geometry and low-dimensional topology. The programme is organized in partnership with the Clay Mathematics Institute, and ICTS provides accommodation for outstation participants.

Communication complexity studies how cooperating parties solve computational problems while exchanging as little information as possible. This workshop addresses its core theory and applications to streaming and sublinear algorithms, data structures, distributed computation, learning, cryptography and game theory. Participants will connect methods from probability, combinatorics, graph theory, matrix analysis and information theory. Cross-disciplinary collaboration is intended to advance open problems, reveal relationships between these areas and support emerging researchers.

Workshop bringing together researchers working on AI for learning dynamics from data, with a special focus on information-theoretic methods. Topics include predictive information, the information bottleneck, latent-variable models, entropy and mutual-information estimation, world models of biological systems, and connections to dynamical systems and control theory. The workshop is part of the six-week NITMB program “Image-Based Scientific Machine Learning for Theories of Biological Dynamics Across Scales” (February 1–March 12, 2027). Program: AI in Biological Dynamics Scientific Focus — details for the six-week NITMB program: https://www.nitmb.org/ai-in-biological-dynamics-scientific-focus Application deadlines: November 9, 2026 for applicants requesting travel and lodging support; December 8, 2026 for local applicants. Students, postdocs and early-career researchers are encouraged to apply. See the Application tab on the workshop website.

Applied mathematicians, statisticians, physical scientists and engineers collaborate with industry on practical technical problems during this week-long workshop. Typically four to six projects are selected, with topics spanning sectors such as mining, agriculture, health, environmental management and artificial intelligence. Participants work in moderated groups, present full or partial solutions on the final day and contribute technical reports, with potential follow-on research and publications. The workshop welcomes academic researchers from PhD level onward and participants from industry. Registration is free, with an expectation of commitment for the full week, and closes on 31 January 2027.