Shubham Sinha

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I am a postdoctoral fellow at the International Centre for Theoretical Physics in Trieste, Italy. My mentor is Prof. Alina Marian. I received my Ph.D. from the department of mathematics at the University of California San Diego in June 2023. My advisor was Prof. Dragos Oprea.

Here is my CV.

Research Area: Enumerative algebraic geometry; Algebraic combinatorics. In particular, I am interested in curve counting and enumerative invariants.

Email: ssinha1 at ictp.it
Office: LB-108, ICTP

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Preprint

Papers

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Teaching

  • Complex Analysis: Fall 2024, ICTP
  • Calculus 1 (Math 10A): Summer 2023, UC San Diego
  • Calculus 2 (Math 10B): Summer 2022, UC San Diego
  • Calculus 2 (Math 10B): Summer 2021, UC San Diego

Mentoring Activity

  • Olympiad: I was involved in training the Indian IMO (International Mathematical Olympiad) team during the years 2014-2017 and 2021.
  • Mentoring at UCSD: RTG graduate directed reading for undergraduates, Algebraic curves and Riemann surfaces, Spring 2021.
  • Mentoring at UCSD: RTG graduate directed reading for undergraduates, 27 lines on a cubic surface, Spring 2020.
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Research Talk

  • Moduli stacks and enumerative geometry (VBAC), Isaac Newton Institute, Cambridge (2024) : Quantum K-invariants via Quot schemes. video, slides
  • Virginia Tech Algebra Seminar (2024) : Quantum K-invariants via Quot scheme.
  • Algebraic Geometry Seminar, IISER Pune (2024) : Quantum K-invariants of Grassmannians via Quot scheme.
  • Algebraic Geometry Seminar, ICTP (2023) : Quantum K-invariants of Grassmannians via Quot scheme.
  • Categorical methods in moduli theory, University of Pennsylvania (2023) : Schur bundles over Quot schemes of P^1 (slides).
  • Algebraic Geometry Seminar, ICTP (2023) : Tautological bundles over Quot schemes on curves (slides).
  • Geometry & Topology Seminar, IISc Bangalore (2023) : The virtual intersection theory of isotropic Quot schemes.
  • Virginia Tech Algebra Seminar (2022) : Numerical invariants of Quot schemes on curves.
  • Western Algebraic Geometry Symposium (WAGS), UC Riverside (2022) : Tautological bundles over Quot schemes of curves (poster).
  • University of Warwick, VBAC (2022) : Tautological bundles over Quot schemes of curves (poster).
  • Richmond Geometry festival (2022) : Tautological bundles over Quot schemes of curves (poster).
  • FPSAC 2020 : Random t-cores and hook lengths in random partitions (video, slides).
  • IMSc Algebraic Combinatorics Seminar (2020) : Random t-cores and hook lengths in random partitions.
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Seminars