This is a conference on discrete groups in topology and algebraic geometry, which includes topics like fundamental groups of varieties and mapping class groups. This is the third week of a thematic program on the topic.

RNT6 will be a remote collaborative research experience for the weeks of June 16 through June 27, 2025. The goal is for participants to learn new math, get to know colleagues, and have a joyful, affirming research experience. You must apply to participate! Team leaders have planned projects for participants to work on during the workshop. You can read more about the 6 projects on our website.

To ensure that all participants can share in this joyful research experience, we ask that all who apply to participate be committed to equity and justice. We will also make time to imagine a different way to do math: How can our profession be transformed to welcome and support everyone?

RNT aims to foster diversity; we particularly encourage applications from historically underrepresented people in mathematics (including Black and Indigenous people, people of color, women, LGBTQ+ members of the community, and people with disabilities), scholars at undergraduate institutions, and in general scholars at all stages of their career who believe they would benefit from this experience. Please share this announcement with any groups, students, post docs, and scholars at all points in their careers who might be interested in participating in this workshop.

The 32nd edition of Géométrie Algébrique en Liberté (GAeL) will be hosted by the Institut de Mathématiques de Toulouse from June 16-20, 2025. The deadline for applications is March 2, 2025, and the application form can be found on the website.

The GAeL conferences are a series of annual meetings organised for and by young researchers in algebraic geometry (PhD students and young postdocs). The objective is not only to introduce the participants to subjects that are likely to be of relevance in the forthcoming years, but also to encourage them to actively participate in the mathematical community at an early stage of their career. Each year we invite 3 senior lecturers to give 4 hour mini courses. The rest of the talks are chosen from among the junior participants and are often the first opportunity people get to speak in front of an international audience. We try to keep the atmosphere very friendly and inclusive.

The senior speakers in 2025 will be:

Ada Boralevi (Polytechnic University of Turin)

Talk: Spaces of matrices with rank conditions and more

Tyler Kelly (Queen Mary University of London)

Talk: A guided tour into the mirror

Daniel Loughran (University of Bath)

Talk: Stacks in birational geometry and number theory

This is the 47th symposium in a series that dates back to 1978, interrupted only during the covid years. As always, there will be a large number of contributed 20 minute talks as well as several hour long plenary lectures. Significant time is set aside to promote collaboration; new PhDs and young mathematicians are particularly encouraged to attend. This year’s Plenary Speakers are: 1. Per Enflo, Kent State University and Universidad Complutense de Madrid 2. Luis Bernal González, University of Seville 3. Kornélia Héra, University of Bonn 4. Krystal Taylor, The Ohio State University

This is the 47th symposium in a series that dates back to 1978, interrupted only during the covid years. As always, there will be a large number of contributed 20 minute talks as well as several hour long plenary lectures. Significant time is set aside to promote collaboration; new PhDs and young mathematicians are particularly encouraged to attend. This year’s Plenary Speakers are: 1. Per Enflo, Kent State University and Universidad Complutense de Madrid 2. Luis Bernal González, University of Seville 3. Kornélia Héra, University of Bonn 4. Krystal Taylor, The Ohio State University

This is the 47th symposium in a series that dates back to 1978, interrupted only during the covid years. As always, there will be a large number of contributed 20 minute talks as well as several hour long plenary lectures. Significant time is set aside to promote collaboration; new PhDs and young mathematicians are particularly encouraged to attend. This year’s Plenary Speakers are: 1. Per Enflo, Kent State University and Universidad Complutense de Madrid 2. Luis Bernal González, University of Seville 3. Kornélia Héra, University of Bonn 4. Krystal Taylor, The Ohio State University

This is the 47th symposium in a series that dates back to 1978, interrupted only during the covid years. As always, there will be a large number of contributed 20 minute talks as well as several hour long plenary lectures. Significant time is set aside to promote collaboration; new PhDs and young mathematicians are particularly encouraged to attend. This year’s Plenary Speakers are: 1. Per Enflo, Kent State University and Universidad Complutense de Madrid 2. Luis Bernal González, University of Seville 3. Kornélia Héra, University of Bonn 4. Krystal Taylor, The Ohio State University

Chromatic homotopy theory decomposes stable homotopy theory into an infinite sequence of periodic strata, each of which has the potential to be completely computable. These ideas were made precise by the Ravenel Conjectures, which were famously solved by various combinations of Devinatz, Hopkins, Smith, and Ravenel in the decade which followed, except for one: the Telescope Conjecture. This conjecture eluded resolution until 2023, when it was shown to be false by Burklund-Hahn-Levy-Schlank. The disproof involved the discovery of a new and unexpected interface between algebraic K-theory and chromatic homotopy theory which augmented an existing and growing understanding of relationship between these two subjects as witnessed by the Quillen-Lichtenbaum Conjecture, Thomason's Descent Theorem, and the Rognes Redshift Conjecture.

The aim of this workshop is to address the question "what next?". We aim to explore this question narrowly (what does the failure of the telescope conjecture say about v_n-periodic homotopy groups?) and broadly (what are the next horizons for homotopy theory/algebraic topology/K-theory now that this major problem has been solved?). The goal of the workshop is to bring together researchers in chromatic homotopy theory, algebraic K-theory, and a variety of other neighboring areas to address these questions.

Travel support is available for US based participants thanks to the National Science Foundation.

Application details Deadline for applications: 30 Mar 2025

The goal of this conference is to bring together experts from algebraic and arithmetic geometry on the one hand and étale and stratified homotopy theory on the other. There will be a mini-course on each side to get people up to speed, as well as research talks covering recent developments on étale cohomology, étale homotopy, and related topics.

The graduate and postdoctoral training supported by the RTG award is anchored on five thematic years emphasizing different aspects of our combinatorial, arithmetic, and topological approaches to study algebraic varieties. Focused topics courses and research training seminars running each year will be complemented by an RTG Workshop, followed by a Group Retreat featuring a period of intensive mathematical collaboration, and promoting community-building through a goal-oriented activity.

This workshop emphasizes two related themes: development of new versions of the trace formula for use in applications to analytic number theory, and numerical computations using the trace formula.

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

Flows involving solid particulates are ubiquitous in nature and industry alike. Such flows are found in pharmaceutical production, the chemical industry, the food and agricultural industries, energy production and the environment. Many unsolved problems remain, however. In order to be able to solve problems, granular flows need to be understood so that their behaviour can be controlled and predicted. We are able to describe rapid granular flows, where the particles are highly agitated and there has been some success describing static systems. The intermediate regime, where these two phases meet and coexist, is not as well understood and yet is the most commonly observed behaviour of granular flow. The objective of this meeting will be to interface the two ends of the particulate flow spectrum – those working to understand the fundamentals of granular flows and those attempting to control particulate flows in an industrial setting – to develop solutions to the complex problems presented by dense granular flows. Themes will include dense granular flow, biological systems, self-propelled particles and geological flows, exploring new developments in theoretical analysis and experimental techniques. All attendees will be provided with an opportunity to present recent work and there will be substantial time for discussion, both during the workshop and during the evening! Postgraduate and PhD students are particularly welcomed and oral presentations will reflect the breadth of the field.

Join us for a five-day workshop hosted by UT Austin, with support from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and diffeomorphism groups. The workshop will be preceded by introductory mini-courses on Zoom taking place on June 18 and June 20. Participants may register for either or both workshop components. The workshop will conclude at noon on Friday, 6/27. Participation is by application, and the priority deadline for funding is April 7.

The 1st IMA Mathematics Anxiety International Conference will take place at the Centre for Mathematical Sciences, the University of Cambridge, in the heart of the historical city. It aims to bring together researchers, academics, teachers, publishers, policy makers and all interested in the conference theme from all over the world. We particularly welcome submissions from researchers (at any stage) in interdisciplinary fields such as education, psychological and behavioural science, and sociology and envisage a number of themes including: 1. Mathematics anxiety reported by non-specialists i.e., students studying disciplines other than mathematics 2. Gender and other dimensions to mathematics anxiety 3. Concepts linked to mathematics anxiety such as negative emotions, unfavourable attitudes, motivation, communication, self-efficacy, mathematical self-concept, resilience to failure, and autonomy 4. Precursors and impacts of mathematics anxiety 5. Communicating and teaching quantitative courses such as mathematics, statistics, research methods and operational research 6. Pedagogical interventions to support mathematics anxiety sufferers such as blended learning, mindset interventions, those designed to enhance self-efficacy, student-led education, and student-voice 7. Interventions such as brain stimulation 8. Promoting equity, inclusion and diversity (EDI), in mathematics education Proposals for Mini Symposium A mini symposium is a session on a specialist topic, consisting of three to four 20-minute relevant talks. You would be responsible for organising deadlines and contributions. If you are interested in holding a mini symposium then please fill out this form with a proposed title and abstract of less than 300 words. https://forms.gle/ZeqEyfK3FENutPHs5

SUBMISSION DEADLINE 1 August 2024

We are pleased to announce the workshop "Geometry over Semirings 2025" on July 7-11 at the Universitat Autònoma de Barcelona.

In this workshop, experts and young researchers will come together to share recent progress and collaborate on open questions related to tropical geometry, geometry over the field of one element, blueprints, and related questions.

There will be talks by

• Ana Maria Botero
• Geffrey Giansiracusa
• Oliver Lorscheid
• Martin Ulirsch
• Xavier Xarles

and young participants.

You can get more information and register for the workshop here: https://mat.uab.cat/~masdeu/geometry-over-semirings/. There is a limited amount of funding for accommodation for early career participants; you can request funding when registering.

The organizers: Joaquim Roé, Marc Masdeu

MIMAR is the premier maintenance and reliability modelling conference. It is an excellent international forum for disseminating information on the state-of-the-art research, theories and practices in maintenance and reliability modelling and offers a platform for connecting researchers and practitioners from around the world. Presentations are encouraged on theory or application of maintenance and reliability: • Maintenance and reliability modelling • Reliability and maintenance engineering • Degradation modelling and reliability assessment • Digital twin for reliability and maintenance • Predictive maintenance modelling and application • Machine learning and data analysis in reliability and maintenance engineering • Reinforcement learning for maintenance decision-making and optimization • Prognostics and health management • Awareness health control • Safety, Security and Risk and management • Fault detection and diagnosis • Expert elicitation • Operational research • Production planning and control • Quality control and management • Resilience engineering • Sustainability • Systems modelling and simulation • Life cycle/performance analysis

There has been an enormous amount of progress in the analytic theory of zeta and L-functions over the past decade. Our understanding in the classical theory of the value distribution of the Riemann zeta function has achieved new heights with spectacular breakthroughs on moments and extreme values (both local and global) leading to a better understanding of families of L-functions more generally. Great strides have also been made for higher degree L-functions through the remarkable achievements in subconvexity problems and higher degree trace formulae.

These techniques are still in their infancy and there is great scope for exploration and new applications. The aim of this conference is to bring together distinguished researchers working in the classical analytic, probabilistic, and automorphic theories and utilise the creative environment of MPIM and Bonn to further develop these important interactions.

This is a workshop where the participants will write computer code corresponding to mathematical results needed in the proofs of the main theorems of local and global class field theory. The participants should have some basic knowledge of at least one of, and ideally both of, the number theory involved in the proofs, and the Lean theorem prover.

The 2025 Progress in Discrete and Continuous Probability Conference will take place Tuesday, July 22 — Friday, July 25, 2025, on the historic campus of Union College in Schenectady, NY. The aim of the conference is to bring together researchers at all career stages in a welcoming environment to learn and present recent advances in both discrete and continuous probability, benefiting especially from the interaction between the two.

The following plenary speakers will give mini-courses over the first three days of the conference: Omer Angel (University of British Columbia) and Yimin Xiao (Michigan State University). There will also be several invited and contributed talks.

The conference has received NSF funding to support the travel costs of early career individuals (graduate students/postdocs/assistant professors, as funding allows). Deadline to register in order to be considered for funding is May 19th, 2025. Among the conference activities is a lunch panel on navigating early career stages.

QTMART is a workshop on algebra and representation theory taken in a broad sense, run by and for queer and trans mathematicians. It aims to showcase the research done in this field by this community and bring together senior researchers, junior researchers, and graduate students to discuss topics of common interest in a non-competitive environment.

Alongside the workshop, an exploratory program on queer mathematics and inclusion will take place. The activities of the program will focus on exploring what it means to do mathematics as a queer or trans mathematician, and if there is such a thing as queer mathematics. It will also address the question of how to make the working culture and environment more welcoming and diverse, and will aim to initiate concrete actions in this regard.

This workshop welcomes talks by early-career researchers. Please indicate on the application form if you would like to give a talk and on what topic.

The event is open to everyone accepting the community agreement (which will be based upon Oberwolfach's Statement of Respect and Collegiality https://www.mfo.de/about-the-institute/guiding-principles/equality-diversity-inclusion/statement-for-respect-and-collegiality, taking suggestions from the participants into account). However, priority in assigning talks will be given to self-identifying queer and trans mathematicians, and some activities in the program will be reserved for this group.

Plenary Speakers:

• Chris Bowman (University of York)
• Ian Musson (University of Wisconsin-Milwaukee)
• J. Daisie Rock (FWO, KU Leuven, UGent)
• Beth Romano (King's College London)
• Dani Tubbenhauer (University of Sydney)

This conference aims to bring together early career researchers in geometric group theory, arithmetic geometry and analysis of PDEs, who will also have the opportunity to present their own results. In mostly parallel sessions, we will provide a stimulating environment for collaboration and scientific interaction between young participants and senior speakers, including:

Caterina Campagnolo (Autonomous University of Madrid), Bianca Marchionna (Heidelberg University), Maria Rosaria Pati (University of Genova), Hanneke Wiersema (University of Cambridge), Camilla Nobili (University of Surrey), Mikaela Iacobelli (ETH Zürich), Lara Gildehaus (University of Klagenfurt).

In addition to the mathematical presentations, we will also feature a lecture on gender equality in academic contexts and a career panel.

Everyone - not only women! - is welcome to participate! You can on our website! Limited fundings for travel and accommodation are available. The deadline for contributed talks and financial support is April 30th 2025.

More info and details on the structure of the conference can be found at our website. If you have any questions, don’t hesitate to contact us at [email protected].

The conference will reflect current developments in motivic homotopy theory and its applications in arithmetic geometry and geometric representation theory. It aims to bring together experts from these fields to facilitate the exchange of ideas in a collaborative and engaging environment.

Exam Dates: 31st July 2025 18h August 2025

Time: Exam will be available for 24hrs on 31st July and 18th August (whichever date student opted), students can start anytime between those 24hrs, but once started exam will end in its pescribed time limit of 1 hr.

Duration: 60 Minutes

Mode of registration: Individually and through schools.

Last Date of Registration: 27th July 2025 for 31st July Exam date and 17th August 2025 for 18th August Exam date Result: Generally, the results are announced within 3 month’s time of Last Exam Date Eligibility: For Students of Grade 1-8 Exam Fee: US$ 15 Mode of Exam: Online Monitoring: Online proctored Exam Number of Questions: Grade 1 – 4: 35 Questions Grade 5 – 8: 50 Questions

Study Material: There is no need to buy expensive books or study materials, all questions will be coming from existing academic curriculum/books of the students. Sample paper is also available on website. Plus we offer a mock test to students as well to get a better understanding of the exam.

Date of Mock Test: 20th July 2025 00:01AM to 17th August 2025 11:00PM. A Mock test will be available between these dates for students to attempt, students can start anytime between these dates, but once started exam will end in its pescribed time limit of 1 hr.

How the Exam will be Monitored: Remember this is an AI Proctored exam, System will automatically terminate exam if unusual behavior is found.

During this one week summer school, Eleonora di Nezza (Paris, Sorbonne) and Siarhei Finski (Paris, CNRS) will give introductory talks on Kahler geometry to a group of non-experts, primarily composed of students and postdocs. Registration to open soon. The event is part of a special semester on complex geometry at the Renyi Insitute.

Eleonora Di Nezza: Pluripotential theory and L∞ estimates for complex Monge-Ampère equations

Abstract: In these lectures, we introduce and explore fundamental concepts in pluripotential theory, which are essential for studying (degenerate) complex Monge-Ampère equations on Kähler manifolds. We then shift our focus to a novel approach for obtaining L∞ a priori estimates for these equations. This method, which has a "local" character and relies solely on the use of envelopes, was recently developed by Guedj and Lu.

Siarhei Finski: Asymptotic study of submultiplicative filtrations

Abstract: It has long been recognized that the study of manifold degenerations plays a crucial role in addressing many questions in geometry, including the search for canonical metrics. Some degenerations can be understood on the algebraic level through the so-called submultiplicative filtrations, which are certain filtrations on rings respecting the algebraic structure. The most basic example is the filtration on the space of homogeneous polynomials given by the order of vanishing along a subvariety in the projective space.

This course is about the geometric quantization approach to these filtrations, which effectively establishes several results at the crossroads of algebraic and differential geometry. We discuss some applications towards the search of canonical metrics and cover the necessary preliminaries including the Ohsawa-Takegoshi extension theorem, Bergman kernels, and the theory of graded normed algebras.

We are hosting two events, each one a week long:

• A summer school on Galois Representations, Relative Langlands Duality, Beyond Endoscopy, and Relative Trace Formulae. 4-9 August 2025.
• A number theory conference. 11-15 August 2025.

During this one week summer school, Hans-Joachim Hein (Munster) and Daniele Angella (Firenze) will give series of talks on recent advances on Singular Kahler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry. Both speakers will deliver 4 lectures of 50 minutes, with each lecture accompanied by a problem session. Registration to open soon. This event is part of a special semester on complex geometry at the Renyi Insitute

Daniele Angella: Cohomological properties and Hermitian metrics of complex non-Kähler manifolds

Abstract: the first lectures will provide a survey of the cohomological properties and topological aspects of complex manifolds, as well as canonical metrics on complex manifolds. We will then focus on some analytic problems concerning the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, the convergence of the Chern-Ricci flow on compact complex surfaces, and the asymptotic behavior of Monge-Ampère volumes of Hermitian metrics in the ddc-class.

Hans-Joachim Heins: TBA

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

Part of a series of conferences: NTDU

Mini-Courses by Dima Arinkin and Linus Hamann.

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)

The aim of this workshop is to explore recent advances in Kähler geometry, focusing on non-Archimedean aspects of the Strominger--Yau--Zaslow conjecture, potential-theoretic approaches to singular Kähler-Einstein metrics, geometric estimates for solutions to Complex Monge–Ampère equations, connections with the minimal model program, and Calabi-Yau metrics on non-compact manifolds. Registration to open soon. This event is part of a special semester on Complex Geometry at the Renyi Institute

Speakers:

Enrica Mazzon Yueqiao Wu Ye-Won Luke Cho Jian Song Bin Guo Song Sun Antonio Trusiani Christiano Spotti Chung-Ming Pan Jakob Hultgren Yuchen Liu Vincent Guedj Mihai Paun Charlie Cifarelli Yang Li (TBC) Tristan Collins Annamaria Ortu

The Annual International Conference of the Georgian Mathematical Union was established in 2010 and has been held traditionally at Batumi Shota Rustaveli State University. Batumi is the city of Georgia and the capital of the Autonomous Republic of Adjara. It is located along the coast of the Black Sea in the southwest region of Georgia. In accordance with recent developments, the conference has been conducted in a hybrid format since 2021.

The purpose of the conference is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields.

Y-RANT is an annual conference primarily aimed at early career researchers in the UK (Ph.D. students and postdocs) working in or interested in algebraic number theory, analytic number theory and related topics. This is the seventh edition of the conference, which will be hosted at the University of Nottingham.

This is a great chance to meet other early career number theorists, get a feeling for the interests of the broader community, and discuss your ideas in a friendly and engaging environment.

All participants are strongly encouraged to give a talk, either on their own research, or on a topic of interest. In addition, there will be plenary talks given by Fred Diamond, Judith Ludwig and Vandita Patel.

The Geometric and Analytic Number Theory conference will bring together world leading researchers to present talks on the latest advancements in the fields of geometric and analytic number theory with a view towards rational points on varieties and counting number fields. Attendees will have the opportunity to engage with pioneering work and connect with peers from around the world, fostering collaboration and knowledge exchange within the number theory community.

The goal of this workshop is to bring together both senior and junior specialists in the fields of almost complex and non-Kähler geometry to present their latest achievements in research. Key topics will include cohomological properties of complex and symplectic manifolds, analytical techniques in non-Kähler geometry, special structures on complex manifolds, deformations of complex objects, topological aspects of complex and symplectic manifolds, and Hodge theory on almost Hermitian manifolds. Registration to open soon. This is event is part of a special semester on complex geometry at the Renyi Institute.

Speakers:

Yakov Eliashberg (TBC) Richard Hind Tom Holt Uros Kuzman Lorenzo Sillary Nicoletta Tardini Scott Wilson Weiyi Zhang Daniele Angella Gueo Grantcharov Nicolina Istrati Slawomir Kolodziej Alexandra Otiman Tat Dat To Valentino Tosatti Misha Verbitsky Vestislav Apostolov Gil Cavalcanti

This is the final meeting of the PRIN2022 project: Semiabelian varieties, Galois representations and related Diophantine problems

Workshop dedicated to isogeny-based cryptography.

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in wall-crossing for enumerative invariants of abelian categories, with a focus on identifying promising applications.

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in wall-crossing for enumerative invariants of abelian categories, with a focus on identifying promising applications.

The year 2024 will mark the 30th anniversary of the resolution of Fermat’s Last Theorem, one of the most celebrated applications of the Langlands program. In the three decades since, many seemingly disparate areas of research within the Langlands program have blossomed, some inspired by the ideas introduced in the proof of Fermat, some with a more geometric flavor, made possible in part by the theory of perfectoid spaces, and some with a more representation-theoretic flavor.

The categorical Langlands program is an emerging conceptual framework that encompasses these disparate areas of research: the $p$-adic Langlands program, the geometrization of the local Langlands correspondence, and the cohomology of Shimura varieties in its many incarnations, just to name a few. This workshop brings together architects of the categorical Langlands program in the number field setting as well as emerging experts. The goals are to take stock of the state of the art in the field, and to chart a course for future developments, and to provide mentorship and support to a diverse group of early-career participants.

Due to limited space, in-person attendance at this meeting is by invitation only. However, we welcome applications for virtual participation in the workshop. If you are interested in virtual attendance, please apply at the following link: https://forms.gle/kPz15Cnj8CGKKkJy9.

Description: Classical PDEs involve partial derivatives of a function of multiple variables describing physical quantities. These are crucial for understanding continuous processes across disciplines, with solutions often forming the basis for applied research and technological developments. Fractional PDEs are an extension of classical PDEs, which generalize derivatives to non-integer orders. These equations have become a valuable tool for modelling complex, real-world systems exhibiting features not adequately captured by traditional PDEs.

Spectral methods are known for their exceptional accuracy and efficiency in solving a wide range of differential equations with flexibility in handling various types of boundary conditions. These methods exhibit exponential convergence rates and are suitable for numerical simulations requiring precise solutions. These methods offer flexibility in choosing basis functions tailored to specific problem characteristics. Their ability to resolve high-frequency components and global nature makes them indispensable tools in scientific computing and engineering simulations, where precision and computational efficiency are paramount.

The class of methods and problems which cover the theme of the symposium are listed:

Class of Spectral Methods: Collocation Methods, Galerkin Methods, Tau Methods, Sparse Grid Methods, Pseudo Methods, Multidomain Methods, Finite Difference / Finite Volume Methods, Hermite and Laguerre Spectral Methods, Radial Basis Function Spectral Methods, Hybrid Spectral Methods and much more…

Class of Problems: Fluid Dynamics, Quantum Mechanics, Electromagnetics, Structural Mechanics, Meteorology, Climate Modeling, Parametrized PDEs, Time-dependent PDEs, Stochastic PDEs, Complex PDEs, Singular PDEs, Turbulence Modeling, Image Processing, Elasticity, Geophysics, Nonlinear Wave Equation Solitons, Pattern Formation, Travelling Waves, Mathematical Physics, Biological Models, Epidemiological Models, and much more fractional PDEs …

Publications: Extended abstracts will be published in Special Volume of the American Institute of Physics Conference Proceedings. For details, please refer to the link: Papers–ICNAAM 2025.

Also, the papers can be considered for a special issue of the journal Fractal and Fractional. For details, please refer to the link: Special Issue: Fractional Equations and Applications.

In this event, we want to reflect on how developments in formal mathematics and AI for theorem proving may change the practice of mathematical research. We have an exciting group of experts from computer science, mathematics, history, and philosophy lined up. Confirmed participants:

Jarod Alper (U Washington), Jeremy Avigad (Carnegie Mellon), Michael Barany (Edinburgh), Kevin Buzzard (Imperial College), Antoine Chambert-Loir (Paris Cité), Thierry Coquand (Gothenburg), Silvia De Toffoli (Pavia), Walter Dean (Warwick), Simon DeDeo (Carnegie Mellon), Stephanie Dick (Simon Fraser), Robbert Dijkgraaf (U Amsterdam), Catarina Dutilh Novaes (VU Amsterdam), Timothy Gowers (Collège de France), Massimiliano Gubinelli (Oxford), Thomas Hubert (Google DeepMind), Albert Jiang (Mistral AI), Bryna Kra (Northwestern), Wenda Li (Edinburgh), Heather Macbeth (Imperial College), Jim Portegies (TU/Eindhoven), Talia Ringer (U Illinois), Ronald van Luijk (Leiden), Jan van Neerven (TU Delft).

There is still room for 25-30 additional participants, and we invite everyone how is interested in reflecting on the mathematical practice to apply to participate. Junior mathematicians in particular are strongly encouraged to apply (and we have some limited financial support for junior participants). Application deadline is June 9.

For more information and to apply see the website

Feel free to forward this message to potentially interested participants.

The organisers, Johan Commelin, Mateja Jamnik, Rodrigo Ochigame, Lenny Taelman, Akshay Venkatesh

For more information, please consult the conference web page:

The 3rd IMA Conference on the Mathematics of Robotics aims to bring together researchers working on all areas of robotics which have a significant mathematical content. The idea is to highlight the mathematical depth and sophistication of techniques applicable to Robotics and to foster cooperation between researchers working in different areas of Robotics. This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM).

Areas of interest include but are not limited to: Topology. Kinematics. Algebraic topology of configuration spaces of robot mechanisms. Topological aspects of path planning and sensor networks. Differential topology and singularity theory of robot mechanism and moduli spaces. • Algebraic Geometry. Varieties generated by linkages and constraints. Geometry of stiffness and inertia matrices. Rigid-body motions. Computational approaches to algebraic geometry. • Dynamical Systems and Control. Dynamics of robots and mechanisms. Simulation of multi-body systems, e.g. swarm robots. Geometric control of robots. Optimal control, soft robotics and other optimisation problems. • Combinatorial and Stochastic Methods. Rigidity of structures. Path planning algorithms. Modular robots. • Statistics. Stochastic control. Localisation. Navigation with uncertainty. Statistical learning theory. • Cognitive Robotics. Mathematical aspects of Artificial Intelligence, Developmental Robotics and other Neuroscience based approaches.

Invited Speakers Martin Pfurner, University Innsbruck, Austria Carme Torras Genís, Institut de Robòtica i Informàtica Industrial (IRI) at the Technical University of Catalonia (UPC) Ileana Streinu, Smith College

This workshop, sponsored by AIM and the NSF, will bring together experts in mathematical modeling, biomedical engineering, and clinical research to advance multiscale modeling approaches that bridge ocular, cardiovascular, and systemic dynamics. The non-invasive nature of ocular measurements, such as retinal blood flow and intraocular pressure, provides a unique opportunity for early diagnosis and monitoring of conditions such as diabetes, hypertension, heart failure, and neurological disorders. However, translating these insights into clinical practice requires a strong collaboration between clinicians and modelers to design interpretable and actionable approaches. A key focus of the workshop will be integrating mechanistic models with data-driven approaches, balancing interpretability with predictive power.

The workshop focuses on the interplay between 3-manifold topology and geometry, the study of 3-manifold groups, and character and representation varieties, with connections to computational topology and theoretical computer science. Related topics are also welcome! This two-day event will feature introductory lectures, in-depth research talks, lightning talks, and dedicated discussion sessions. Our goal is to foster a stimulating environment by bringing together participants at various career stages, along with many local researchers.

This workshop, sponsored by AIM and the NSF, will be devoted to further developing the method of flag algebras and its applications. Flag algebras, developed by Razborov in 2007, allows one to solve problems in combinatorics via streamlined calculations that combine elements from computer engineering and optimization. It led to many recent breakthroughs on long-standing open problems of Erdős, Sós, Turán, Gromov and Zarankiewicz, to name a few. The technique is versatile and can be applied in other settings than graphs and hypergraphs including permutations, oriented graphs, point sets, embedded graphs, and phylogenetic trees.

Mathematics is at the heart of evidence-based decision support; however, any decision requires data collection, data and signal processing, communications and communication systems to reduce cognitive burden for the decision maker and improve decision making. It is also increasingly common for AI to play a role in summation and processing, meaning that evidence is even more varied in its utility and applicability. This conference will explore both the state of the art in terms of data curation, signal processing, communication and AI to support decision making as well as looking at the impact of these systems on cognitive load. Importantly this conference will focus on research that can start to explore the confluence of these areas in order to underpin decision making in a rigorous and integrated system. As mathematics begins to underpin more of the decision-making process, so it becomes more important that that mathematics is integrated and focussed on providing understandable evidence to the decision maker. Therefore, how the mathematical evidence is then communicated becomes as important as how the mathematics is undertaken. The conference will aim to bring together a wide variety of participants applying a variety of mathematical methods with defence and security applications. The programme will include invited speakers, presentations and poster sessions, as well as refreshment breaks for informal discussions. It is aimed towards a cross-discipline audience of mathematicians, scientists, engineers and communicators from both industry and academia, in addition to government and military personnel who have an interest in how mathematics can be applied to defence and security problems. The scope of the conference includes but is not limited to the following topics: 1. Mathematics for Decision Support • Decision Support Systems for Defence • Data mining and Statistical Learning • Multi-objective and Multi-criteria Optimization • Data Fusion Systems in Defence Applications 2. Signal Processing and Communications • Multimodal Signal Processing • Distributed Signal Processing • Integrated Communications and Sensing Systems • Sensor Management for Defence Applications 3. Artificial Intelligence and Machine Learning • Machine Learning for Defence Applications • Cognitive Systems to support Decision Making • Data Collection and Curation for Defence Call for Abstracts Abstracts will be considered for the conference based on a 300 word abstract for oral presentation. Abstracts should be submitted by 23rd May 2025 via https://my.ima.org.uk/

This 2-day special session will be dedicated to a range of mathematical problems related to motion planning algorithms and their properties. A central role is played by the notion of topological complexity (TC), which is a homotopy invariant depending only on the configuration space of the robot that can be studied using diverse tools from a variety of fields, such as geometry, topology, algebra, combinatorics, etc. This session on theoretical and applied aspects of TC and related sectional category invariants aims to bring together scientists from all over the world working on different aspects of motion planning and TC and foster collaboration among them, expose graduate students and junior colleagues to these rich and fascinating areas of research, and identify directions for future work and interaction in these areas.

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in computing the stable homotopy groups of spheres. The last 10 years have seen significant progress in this area, driven first by applications of motivic homotopy theory and then more recently by the invention of synthetic/filtered spectra, which generalizes motivic techniques. Last year, Weinan Lin, Guozhen Wang, and Zhouli Xu significantly extended the known range of stable homotopy groups and used these computations to resolve the remaining case of the Kervaire Invariant One problem, which has remained open for about 60 years. This workshop will focus on the advances that made these computations possible, especially those involving machine computations and synthetic techniques, and look for applications of these new techniques, for example to the equivariant slice spectral sequence.

IEEE VIS Workshop on Topological Data Analysis and Visualization (TopoInVis 2025) Co-located with IEEE VIS 2025 - Vienna, Austria, 2-7 November

Call for Contributions

Topological methods have become an established framework for the extraction and analysis of structural patterns in complex data. It has been successfully applied in a variety of application fields, including quantum chemistry, astrophysics, fluid dynamics, combustion, material sciences, biology, and data science. In particular, the genericity, efficiency, and robustness of topological methods have made them particularly well suited for the multi-scale, interactive analysis and visualization of the underlying structural information of data.

Despite their rising mainstream popularity, topological methods still face a number of challenges, including, for instance, efficient computational methods for large-scale time-varying data, the characterization of noise and uncertainty, or the support of emerging data types, such as ensemble data or high-dimensional point clouds.

The IEEE VIS Workshop on Topological Data Analysis and Visualization aims to be an inclusive forum for the fast dissemination of the latest results in theory, algorithms, and applications of topological methods for the interactive and visual analysis of data. This workshop is open to members of the visualization community interested in topological methods and to experts in topological methods from other communities willing to experiment with interactive and visual applications.

The workshop welcomes submissions of both full-length papers and posters. The accepted papers will be presented during the workshop, and the accepted posters will be presented at the main poster event at VIS and give a lightning talk during the workshop.

Scope

Relevant topics include (but are not limited to): Topological methods for the analysis and visualization of all types of data, including but not limited to: Graph data Scalar, vector, tensor, multi-field data Time-series data High dimensional point cloud data Ensemble data Data with uncertainty Topological methods for data science (dimensionality reduction, clustering, etc.) Topological methods and machine learning Computational methods for topological data analysis and visualization Software systems for topological data analysis and visualization Visual analytic frameworks relying on topological methods Applications of topological data analysis and visualization

Submission

We welcome contributions as regular papers in the IEEE VGTC format (up to 9 pages of content, plus up to 2 pages of references). Paper submissions will be peer-reviewed by an international program committee, including experts in topological methods for scientific data, information visualization, visual analytics, computational geometry, computational topology, and machine learning. Accepted papers will be published in the IEEE Xplore Digital Library.

Poster contributions should adhere to the IEEE VIS Guidelines. While VIS has no specific formatting requirements, posters can be no larger than size A0 (841 x 1189 mm / 33.1 x 46.8 inches) and must be in a portrait orientation. The accepted posters will be presented at the main poster event at VIS.

Important Dates * June 14, 2025: abstract deadline for full papers * June 30, 2025: submission deadline for full papers * July 31, 2025: author notification * August 31, 2025: submission deadline for posters, lightning talks * November 2-7, 2025: IEEE VIS All deadlines are in Anywhere on Earth (AoE) time zone.

Instructions for submission and further details will appear soon on the workshop website: https://topoinvis.org/

Organizing Committee:

Workshop Chairs: Divya Banesh, Los Alamos National Laboratory Federico Iuricich, Clemson University

Paper Chairs: Tobias Günther, Friedrich-Alexander Universität Erlangen-Nürnberg Yue Zhang, Oregon State University

Communications Chair: Lin Yan, Iowa State University Raghavendra Sridharamurthy, International Institute of Information Technology, Hyderabad

Contact: [email protected]

This workshop, sponsored by AIM and the NSF, will be devoted to studying arithmetic dynamics of multiple maps. In classical arithmetic dynamics, we consider the iteration of a single endomorphism of a variety defined over a field of arithmetic interest — typically a number field or the function field of a curve. An exciting new direction in arithmetic dynamics that holds particular promise for striking new results is what we call "dynamics of multiple maps": dynamical behavior arising from the interaction of two or more endomorphisms on the same space.

This workshop, sponsored by AIM and the NSF, will be devoted to non-Archimedean methods in complex geometry. The main topics for the workshop are: K-stability and canonical metrics, Degenerations of Calabi–Yau manifolds and the SYZ Conjecture, and Algebro-geometric and tropical aspects of degenerations.

moments of the derivative of characteristic polynomials of matrices from the classical compact groups, and of the analogous L-functions.

These inquiries become particularly intricate when the exponent on the derivative is non-integer or when the evaluation point of the characteristic polynomial approaches the unit circle at varying rates. Exploring these statistics will improve our understanding of the distribution of zeros, and the value distribution of L-functions

This workshop, sponsored by AIM and the NSF, will bring together researchers from across the mathematical sciences to apply a broad range of mathematical, statistical, and data science tools to study the mathematical sciences community. The workshop will include both researchers currently working in this area, as well as researchers new to the field interested in applying their expertise to this area.

This workshop, sponsored by AIM, the NSF, the Topos Institute, and the US NSF Center for Analysis and Prediction of Pandemic Expansion, will consider how category-theoretic foundations for modeling as decision support for multidisciplinary collaboration might advance insights into pandemic science. Multidisciplinary modeling is extremely useful and also extremely difficult (for many reasons). By taking the very concept of "building a model" as itself a sort of model, and phrasing this in the formal mathematical language of (double) category theory, we can develop systems that greatly improve our capabilities for collaborative modeling.

The workshop will bring together a wide range of research communities: category theory, software engineering, dynamical systems, data science, epidemiology, infectious disease modeling, medical geography, behavioral psychology, social and urban networks, and economics.

Thematic Month on the Langlands program

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in integral p-adic cohomology theories, focusing in particular on their applications to the study of integral models of Shimura varieties. The main topics for the workshop are (1) Prismatic/syntomic realizations for Shimura varieties beyond hyperspecial level. (2) Characterizing and constructing integral models of local and global Shimura varieties. (3) Applications to automorphic forms and cohomology of Shimura varieties

Workshop on Iwasawa Theory

A conference marking the 50th anniversary of the publication of Barry Mazur's "Modular curves and the Eisenstein ideal" and Ken Ribet's "A modular construction of unramified p-extensions of Q(μ_p)". The talks will feature recent advances in areas of research that have been influenced by these two papers.

Conference on Kinetic theory and Related fields in honor of Professor Yan Guo's 60th birthday

This is the 2nd conference organized by the International Society of Nonlinear Mathematical Physics (ISNMP) which is located in Bad Ems, Germany. The conference aims to provide a platform for experts to report and discuss their research progress on all aspects of nonlinear mathematical physics, with a focus on integrable and exactly solvable systems. This time the conference will be held in memory of Wilhelm I. Fushchich on his 90th anniversary and in honour of Jarmo Hietarinta on the occasion of his 80th birthday.

The Algorithmic Number Theory Symposium (ANTS) is the premier international forum for the presentation of new research in computational number theory and its applications, devoted to algorithmic aspects of number theory and related fields, including elementary number theory, algebraic number theory, analytic number theory, the geometry of numbers, arithmetic geometry, finite fields, cryptography, and coding theory.

See conference website

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.