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, 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.

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.

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

The "Dawn · Midi · Yofuke International Seminar" (DMY) is a hybrid and topic-oriented seminar with a focus on homotopy arithmetic geometry, between USA-France-Japan. This session:

Homotopy Galois Action

1. Sep. 08 (Colloquium) Arithmetic of fundamental groups, by C. Rasmussen (Wesleyan)
2. Sep. 09: Galois actions on pro-p fundamental groups of once-punctured CM elliptic curves, by S. Ishii (Keio)
3. Sep. 22: Arithmetic of elliptic curves related to Ihara's program, by C.McLeman (Michigan Flint)
4. Sep. 23: Galois l-adic polylogarithms, by D. Shiraishi (Tokoyo Univ. Sciences)

On website: Program & references and Registration

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.

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.

For more information, please consult the conference web page:

With this conference we want to celebrate the 12th anniversary of the collaborative research centre (CRC) „Higher Invariants: interactions between arithmetic geometry and global analysis“. The aim of the conference is to highlight the current trends and future prospects of higher invariants and higher categorical methods as studied in our CRC.

The list of speakers is:

Federico Binda
José Burgos Gil
Dustin Clausen
Hélène Esnault
Hokuto Konno
Manuel Krannich
Akhil Mathew
Thomas Nikolaus
Viktoriya Ozornova
Maxime Ramzi
Charanya Ravi
Tomer Schlank
Peter Scholze
Georg Tamme
Inna Zakharevich

The ``Dawn · Midi · Yofuke International Seminar'' (DMY) is a hybrid and topic-oriented seminar with a focus on homotopy arithmetic geometry, between USA-France-Japan.

Talks of this session:

• Oct. 07: Colloquium :: Arithmetic of nonabelian Chabauty, by N. Dogra (King's London)
• Oct. 08: An Oda-Tamagawa criterion for fundamental groupoids of hyperbolic curves, by A. Betts (Cornell)
• Oct. 13: Explicit methods in Chabauty-Kim theory for rational points, by S. Hashimoto (Brown)
• Oct 14: Motivic aspects in genus 0, by I. Dan-Cohen (Ben-Gurion)

Registration for Zoom link and future annoucements on website.

This three-day conference celebrates the 60th birthday and influential career of Igor Kriz, whose groundbreaking contributions have shaped modern perspectives in homotopy theory and its interactions with physics. This special event will gather leading researchers and early-career mathematicians from around the world for a series of stimulating lectures, discussions, and collaborations.

The conference will spotlight cutting-edge developments in equivariant and motivic homotopy theory, as well as their deep connections to mathematical physics and symplectic topology. Invited talks by prominent experts will explore recent advances and open problems at the rich interface of these fields, honoring the wide-ranging impact of Kriz’s work.

We warmly invite you to be part of this celebration of mathematics, community, and visionary research. If you plan to attend, please complete the registration form below. We have some funding available for graduate students and junior researcher participants. If you wish to apply for travel funding, you may do so on the registration form.

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.

Holomorphic-topological (HT) field theories form a fascinating class of quantum field theories. These theories combine features of topological quantum field theories (TQFT) and conformal field theories (CFT).

Due to the mixed holomorphic-topological nature of such theories, they create interactions between TQFT data (e.g., algbras, monoidal categories, etc) and CFT data (e.g., chiral algebras and chiral categories). This leads to exciting new mathematical structures, and connections to integrable systems, quantum topology and many other areas of mathematics. Recently. much progress has been made on the representation-theoretic aspects of HT theories. Examples include:

1. (Shifted) Poisson vertex algebras and their quantizations are constructed from local operators in HT theories.

2. Dimensional reduction of 4d HT theories lead to integrable systems and solutions of quantum Yang-Baxter equations.

3. 4d N=2 theories are linked to representation theory of K-theoretic Coulomb branches, cluster algebra categorifications, wall crossings and elliptic stable envelops.

4. New examples of chiral algebras and their dualities are derived from boundary conditions and dualities of 3d HT theories.

Moreover, many interesting TQFTs are given by deformations of holomorphic-topological theories. Examples include topological twists of 3d N=4 and 4d N=2 theories. These theories have attracted considerable attention in recent years for their connections to 3d mirror symmetry and the Langlands program. Some of these TQFTs only admit Lagrangian descriptions as HT QFTs, and therefore studying HT theories offers a possible approach for understanding these non-Lagrangian TQFTs.

This conference will focus on the representation-theoretic aspects of HT theories, particularly:

1. Chiral algebras arising from observables of HT QFT.

2. Quantum algebras, including Yangians and quantum affine algebras, and their relation to HT theories.

3. Chiral categories and OPE of line operators in HT theories.

4. Deformation of HT theories and their relation to chiral algebra deformations.

5. Relation between various HT theories under dimensional-reduction.

We aim to bring together leading mathematicians and physicists, to inform each other about the recent progress made in this area.

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Limited funding is available to support travel and lodging of early-career researchers. Due to space constraints, all participants must register and we may not be able to accept all applicants. For fullest consideration for funding and participation, please as soon as possible. For more information, please refer to the In Person Registration option on the Registration page of this website.

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.

This conference aims to offer for young researchers the opportunity to discuss their research with the invited experts and to present their latest scientific contributions and achievements in Algebra, Number theory and other related topics.

Thematic Month on the Langlands program

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

The conference honours the work of John F. (Rick) Jardine, a professor at the University of Western Ontario. Over his more than 40 year career, Rick has made foundational contributions to homotopy theory, K-theory, and topological data analysis, in particular shaping the current landscape of homotopical algebra.

We are delighted to announce the 17th Algorithmic Number Theory Symposium (ANTS-XVII), to take place in Groningen on 6 - 10 July 2026.

The ANTS meetings, held every two years since 1994, are the premier international forum for the presentation of new research in computational number theory and its applications. They are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

We have also opened a call for papers for an associated proceedings volume. We strongly encourage anyone with research related to the topics above to submit a paper by 17 January 2026. As in previous editions, for each accepted submission, at least one author must present the work at the conference.

Plenary speakers:

• Eva Bayer-Fluckiger (École Polytechnique Fédérale de Lausanne, Switzerland)
• Peter Koymans (Utrecht University, Netherlands)
• Sabrina Kunzweiler (Inria Bordeaux, France)
• Aurel Page (Inria Bordeaux, France)
• John Voight (University of Sydney, Australia)

Important dates:

• Paper submission deadline: 17 January 2026
• Conference: 6 - 10 July 2026

For more information, such as the programme committee or details on the call for papers, see the web page, https://www.antsxvii.org. In due time this web page will also contain travel and registration information, and information on our sponsors.

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.