Partha Kumbhakar
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Hello! Welcome to my website.
I obtained PhD in Mathematics at the Indian Institute of Science Education and Research (IISER) Mohali under Dr. Varadharaj Ravi Srinivasan. My research lies in algebraic (nonlinear) differential equations, with connections to differential Galois theory, algebraic geometry, and model theory. Further details can be found on my research page and in my CV.
I am currently a Research Associate at the Indian Institute of Science, Bangalore, India (February–April 2026).
Upcoming Activities
March, 2026: Visiting Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, and will deliver a lecture series (4 lectures, each of 90 mins.) on differential Galois theory.
July, 2026: Speaking at the Conference on Foundations of Computational Mathematics (FOCM’26), Vienna, Austria.
Recent Articles
2026: When can all solutions of the logarithmic-differential pullback system
x'=f(x), y'=xy
be written as an algebraic function of finitely many fixed solutions and finitely many constants. This question is addressed in my paper "A Note on Internality of Certain Differential Systems."
2025: How to effectively solve and determine algebraic dependence relations among solutions of
t'=f(t),
where f or 1/f is a Laurent polynomial over ℂ?. This problem is investigated in my paper "New and General Type Meromorphic 1-forms on Curves."
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