Ashani Dasgupta's research in London Mathematical Society's Journal

Outstanding Research Programs for University Students 
and Early Career Researchers

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Research

 Research Opportunities at Cheenta

Cheenta offers research opportunities for undergraduate and postgraduate students who are interested in research in mathematics, physics, Artificial Intelligence and related areas. These projects are designed to help students develop strong research skills while working closely with experienced mentors and researchers.
 
Students involved in these projects gain exposure to both research and teaching. Along with working on research problems, they also get opportunities to assist in teaching, conduct problem-solving sessions, and mentor younger students. This dual experience helps students strengthen their understanding of the subject, improve communication skills, and build a strong academic profile for future PhD or Post Doctoral applications.
  • Dr.Ashani Dasgupta

    Ph.D., University of Wisconsin–Milwaukee
    Published Researcher at London Mathematical Society

    Local connectedness of boundaries for relatively hyperbolic groups
    Suppose we have a relatively hyperbolic group together with its collection of peripheral subgroups, and assume this pair is relatively one-ended. Then the Bowditch boundary of this pair is locally connected. Bowditch proved this earlier under extra assumptions: every peripheral subgroup is finitely presented, has either one or two ends, and contains no infinite torsion subgroup. Here, we remove those assumptions, placing no restriction on the size of the group and no restriction on the peripheral subgroups.
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  • Raghunath J.V

    B.Tech and M.Tech from IIT Chennai.
    Math Olympiad Coach & Research Scholar at Cheenta Academy. 

    Sublinearly Morse Local to Global properties of quasi-geodesics in spaces with bounded combings
    The work by Drutu, et al., proved that quasi-geodesics manifests Local to Global Morse property in geodesic metric spaces that admits bounded quasi-geodesic combing. In such spaces, we extend the property of local to global to Sublinearly Morse and prove that paths that are Sublinearly Locally Sublinearly Morse quasi-geodesics are Global quasi-geodesics. We further think about the local to global property of Sublinearly Morse condition. Such paths are more general than the usual Locally Morse quasi-geodesics.

Invited Talks

Speaker
Poulami kar, Research Scientist
in University of Allahabad, India
Research Seminar : Can Math Solve Autism?
October 19, 2025 at 8:15 PM IST
Neuroimaging plays a key role in modern medicine, aiding diagnosis, surgery, and personalized treatment design. Techniques like fMRI and DTI reveal how the brain functions and connects. fMRI tracks real-time brain activity during tasks, linking behaviour to neural processes—useful for conditions like ADHD or speech disorders. DTI maps white matter tracts by measuring water diffusion, with Fractional Anisotropy (FA) indicating structural integrity. In disorders such as Parkinson’s, FA helps track disease progression and subtype differences—rigidity-dominant patients show preserved basal ganglia networks, while tremor-dominant ones involve the cerebellum. Together, these methods advance precision medicine through individualized, targeted interventions.
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Speaker
Professor Rajiv Gandhi, Professor, CS, Rutgers-Camden, Lecturer, CIS, University of Pennsylvania.
Research Seminar : An Invitation to Algorithmic Thinking and PACT
October 4, 2025 at 8:15 PM IST
Algorithmic thinking is central to computer science, research, and high-level problem solving, shaping how we convert real-world challenges into structured, efficient solutions. In this seminar, Professor Rajiv Gandhi explains how algorithmic reasoning goes beyond coding—it involves breaking problems into smaller components, identifying patterns, choosing the right data structures, and designing step-by-step strategies that are both correct and scalable. Rather than relying on trial-and-error, algorithmic thinking trains the mind to build solutions systematically, making it essential for competitive programming, olympiad-level CS, and research.
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Speaker
Dr. Arka Banerjee, Ph.D., University of Wisconsin–Milwaukee
Postdoctoral Researcher, Auburn University
Research Seminar : On a generalization of the Cannon conjecture
November 18, 2025 at 8:15 PM IST
Neuroimaging plays a key role in modern medicine, aiding diagnosis, surgery, and personalized treatment design. Techniques like fMRI and DTI reveal how the brain functions and connects. fMRI tracks real-time brain activity during tasks, linking behaviour to neural processes—useful for conditions like ADHD or speech disorders. DTI maps white matter tracts by measuring water diffusion, with Fractional Anisotropy (FA) indicating structural integrity. In disorders such as Parkinson’s, FA helps track disease progression and subtype differences—rigidity-dominant patients show preserved basal ganglia networks, while tremor-dominant ones involve the cerebellum. Together, these methods advance precision medicine through individualized, targeted interventions.s.
learn more about this seminar
Speaker
Dr. Deep Chatterjee, Research Scientist
Massachusetts Institute of Technology
Research Seminar : Searching for Gravitational Waves
October 11, 2025 at 8:15 PM IST
Neural networks are becoming ubiquitous in our daily lives and the commercial workspace. The application of neural networks in scientific discoveries is starting to show promises. I will present such a use case in the domain of gravitational-wave data analysis in the context of the LIGO-Virgo-KAGRA ground-based gravitational-wave detectors. In particular, I'll talk about a search algorithm, Aframe, for binary black-hole signals, and a parameter estimation algorithm, AMPLFI, to infer the properties of these signals. These are deployed live, and are able to pick up and characterize candidates in less than ten seconds of data collections
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Speaker
Dr. Tattwamasi Amrutam, Assistant professor at the Institute of Mathematics, Polish Academy of Sciences
Research Seminar : When Algebra is Topology, An Invitation to C*-Algebras
August 3, 2025 at 8:15 PM IST
Dr. Amrutam introduces how topological ideas help mathematicians “visualize” algebra, making abstract objects more intuitive and structurally meaningful. The seminar motivates key concepts through examples and explains how algebraic invariants can encode geometric behaviour. Viewers are guided through how mathematical objects—often defined purely through symbols and operations—can be studied via shapes, spaces, and continuous transformations.
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Researchers  at Cheenta
Dr. Ashani Dasgupta

Dr. Ashani Dasgupta

Dr. Ashani Dasgupta specializes in geometric group theory and low-dimensional topology. His research includes relative hyperbolicity, embedding problems, Morse conditions, local connectedness of boundaries for relatively hyperbolic groups, and connectedness properties of Bowditch boundaries.

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Srijit Mukherjee

Srijit Mukherjee

Srijit Mukherjee is a PhD student in the EECS Department at Pennsylvania State University (after studies in Statistics at Indian Statistical Institute). He builds interpretable AI solutions for biomedical imaging and diseases, collaborating with doctors and engineers at Harvard and Yale. His work explores expressing "mind, information, and intelligence" through mathematics and engineering, with applications in generative AI for problem-solving and novel problem creation.

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Arka Banerjee

Dr. Arka Banerjee

Arka Banerjee (Postdoc at Auburn University) focuses on metric geometry, geometric group theory, coarse geometry, coarse cohomology, coarse embeddings, group actions on CAT(0) cube complexes, coarse Poincaré duality spaces, and topological methods in geometry and topology.

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Ragunath JV

Ragunath JV

Raghunath is a PhD applicant in Pure Mathematics, with a focus on Topology, Group Theory, and allied areas. He love discussing Math Olympiad problems, particularly strategical game-theory, geometry, combinatorics problems.

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Swarnabja Bhaumick

Swarnabja Bhaumick

Swarnabja Bhaumick works in computer vision and machine learning, specializing in event and activity recognition in video surveillance for cyber-physical systems. His research uses deep learning methods (hybrid CNN-RNN architectures, graph-based key-frame selection, multi-tier feature fusion) to handle unconstrained videos from drones/CCTVs and achieve robust performance on benchmarks like UCF-101, HMDB, and CCV.

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Shayeef Murshid

Shayeef Murshid

Shayeef Murshid (Indian Statistical Institute) researches quantum computing and quantum information theory, with emphasis on quantum state discrimination, nonlocality, and the intersection with quantum cryptography — including secure encryption protocols and certified data deletion mechanisms.

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Shayeef Murshid

Dr. Sourayan Banerjee

Sourayan Banerjee is a PhD holder from IISER Bhopal and a Postdoctoral scholar at IIT Kanpur. His research focuses on Algebraic K-theory, exploring the intersections of algebra and topology.

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