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I recently completed my PhD (in May) at the University of Melbourne under the supervision of Marcy Robertson. Before this, I completed a Master's in Pure Mathematics at the Imperial College London as a Chevening Scholar. Prior to that, I was awarded the Future Research Talent Award from the Australian National University. I earned my bachelor’s and master’s degrees in Mathematics from the University of Delhi, India.
My main research is centered around various aspects of Operads and their modules, Configuration Spaces, Low-Dimensional Topology, Homotopy Theory, Grothendieck-Teichmüller groups, Drinfeld's Associators and Kashiwara-Vergne problem.
You can find me at Google Scholar. My full research statement and CV are available upon request. I am currently looking for postdoctoral positions!
News and Upcoming activities:
News and Upcoming activities:
Visiting Researcher at Sydney Mathematical Research Institute (June - July 2026) - Hosted by to A/Prof. Zsuzsanna Dancso, University of Sydney.
(News) I am happy to share that I received the first SMRI-AustMS Lift off fellowship awarded by the Australian Mathematical Society. Here SMRI refers to Sydney Mathematical Research Institute.
Cut, Trace, Glue : 2-Segal Routes to Quantization - Structures Seminar 2026 (Feb - Apr 2026).
Recent activities:
Recent activities:
Invited talk "From Braids to Tangles: A Cyclic Operadic Approach to Grothendieck–Teichmüller Theory" at Nagoya University (March 6, 2026).
Research Visit, Institut de Mathématiques Jussieu-Paris Rive Gauche, Université Paris Cité – Hosted by Adrien Brochier (23rd Jan- 31st Jan 2026) .
Talk titled "Grothendieck-Teichmüller Symmetries of Tangles" in Homological, quantum and computational methods in low dimensonal topology at SwissMap Research Station, a conference celebrating Dror Bar-Natan 60th Birthday (19th Jan 2026).
Talk titled "Cyclic Symmetries of Grothendieck-Teichmüller group" in Category Theory, Homotopy Theory, and K-Theory session at the AustMS Annual Conference 2025 (10th Dec 2025).
Talk titled "Grothendieck-Teichmüller Symmetries of Tangles" in Topology session at the AustMS Annual Conference 2025 (11th Dec 2025).
Talk titled "From Braids to Associators: An Operadic Route to the (genus zero) Kashiwara–Vergne (KV) Solutions" at University of Nevada (19th Sep 2025) (online).
Attended Masterclass: Infinity operads and Applications to Geometry, Copenhagen Centre for Geometry and Topology, University of Copenhagen (11th Aug - 15th Aug 2025).
Contributed Talk titled "Characterising the Grothendieck- Teichmüller group through Cyclic operad" at the Masterclass: Infinity operads and Applications to Geometry (15th Aug 2025).
Research Visit, Department of Mathematics, Stockholm University, Swedan (18th Aug - 23th Aug 2025).
Talk titled "A hidden symmetry of Grothendieck-Teichmüller group" at the Stockholm University (19th Aug 2025).
Research stay, School of Mathematics and Physics, Queen's University Belfast hosted by David Barnes (12th April - 17th April 2025).
Attended Operads and Calculus, as part of Equivariant homotopy theory in context, Queen's University Belfast (7th April - 11th April 2025).
Attended Masterclass: Building bridges between algebra and geometry, Cobordism Categories, Copenhagen Centre for Geometry and Topology, University of Copenhagen (17th Feb - 21st Feb 2025).
Lightning talk titled "Galois Actions, Grothendieck-Teichmüller groups and Kashiwara-Vergne problem" during the GongShow at Masterclass: Building bridges between algebra and geometry, Cobordism Categories (20th Feb 2025).
Talk titled "Grothendieck- Teichmüller group and the (Cyclic) Ribbon group operad" at the University of Southern Denmark (12th Feb 2025).
Research Visit, Centre of Quantum Mathematics, University of Southern Denmark (8th Feb - 15th Feb 2025) – Hosted by Guillaume Laplante-Anfossi.
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