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 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

This conference celebrates the life and achievements of Emeritus Professor Rodney James Baxter 1940-2025. It will highlight Professor Baxter's extraordinary career and pioneering contributions to exactly solved models in statistical mechanics, which continue to inspire profound developments in key areas of mathematics and physics.

This event will be hosted in hybrid online and face-to-face mode by the Mathematical Sciences Institute, Australian National University, with a mixture of local and international participants from Europe, the UK, USA, China and Japan.

There is no registration fee but participants are asked to register on the website.

Current Speakers:

Francisco Alcaraz (Universidade de São Paulo)

Natan Andrei (Rutgers University)

Alexander Belavin (Independent University of Moscow)

Alexander Bobenko (Technische Universität Berlin)

Herman Boos (University of Wuppertal)

Geoff Campbell (Australian National University)

Paul Fendley (Oxford University)

Angela Foerster (Federal University of Rio Grande do Sul)

Peter Forrester (University of Melbourne)

Jan de Gier (University of Melbourne)

Xiwen Guan (Chinese Academy of Sciences, Wuhan)

Tony Guttmann (University of Melbourne)

Jesper Jacobsen (Sorbonne University, Paris)

Michio Jimbo (University of Tokyo)

Rinat Kashaev (Universite de Geneve)

Andreas Klumper (University of Wuppertal)

Vladimir Korepin (Stony Brook University)

Atsuo Kuniba (University of Tokyo)

Jon Links (University of Queensland)

Alexey Litvinov (Skoltech, Moscow)

Sergei Lukyanov (Rutgers University)

Jean-Marie Maillard (Sorbonne University)

Andrei Marshakov (Moscow ITEP)

Guiseppe Mussardo (Scuola Internazionale Superiore di Studi Avanzati, Italy)

Bernard Nienhuis (Universiteit Leiden)

Rafael Nepomechie (University of Miami)

Aleks Owczarek (University of Melbourne)

Vincent Pasquier (Université Paris-Saclay)

Paul Pearce (University of Queensland)

Jacques Perk (Oklahoma State University)

Balazs Pozsgay (Eötvös Loránd University, Budapest)

Tomaz Prosen (University of Ljubljana)

Reinout Quispel (La Trobe University)

Nicolai Reshetikhin (Tsinghua University)

Ana Retore (Durham University)

Hubert Saleur (Université Paris-Saclay)

Tomohiro Sasamoto (Chiba University)

Sergey Sergeev (University of Canberra)

Feodor Smirnov (Sorbonne University)

Leon Takhtajan (Stony Brook University)

Yupeng Wang (Chinese Academy of Sciences, Beijing)

Ole Warnaar (University of Queensland)

Paul Wiegmann (University of Chicago)

Ed Witten (Princeton University)

Masahito Yamazaki (University of Tokyo)

Konstantin Zarembo (Nordita, Sweden)

Huanqiang Zhou (Chongqing University)

Organising Committee Murray Batchelor MSI (Australian National University)

Vladimir Bazhanov RPhys (Australian National University)

Registration as a participant: Registrations for participants are open. Zoom link will be provided to registered participants closer to the event.

Aim of the School is to bring together young students and researchers with experts in the research areas of global analysis, spectral theory, mathematical physics and their interplay. The school consists of four mini-courses leading towards a broad understanding of current research topics from different perspectives. The mini-courses will be aimed at a broad audience.

Speakers of the mini-courses: * Nelia Charalambous on "The spectrum of geometric operators on noncompact manifolds" * Jeffrez Galkowski on "The high energy behavior of Laplace eigenfunctions: applications of geodesic beams" * Frédéric Rochon on "L2-cohomology of complete hyperKähler metrics" * Alexander Strohmaier on "Spectral Theory on Spacetimes"

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.

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 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.