Kumar Shukla

Graduate Student

Ontario, Canada
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Summary

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Kumar Shukla is a PhD student in mathematics at Western University specializing in algebraic topology, particularly group actions on manifolds and equivariant cohomology. He holds an integrated M.Sc. in Mathematics and Computer Science from NISER, where his master’s thesis applied Poincaré duality to problems in enumerative geometry. Over nine years he has built a research-focused resume with internships and fellowships at premier Indian institutions including IISc, TIFR, HRI, IISER, and ISI, tackling topics from Lie groupoids and orbifolds to lattice-based cryptography. Kumar combines deep theoretical training with computational instincts from his CS background, enabling him to approach topology problems with algorithmic and arithmetic perspectives. His trajectory shows both breadth across pure math domains and a pattern of short, intensive research projects that accelerate his expertise. Based in Ontario, he brings rigorous proof techniques and cross-disciplinary curiosity to advanced problems in geometric topology.
code9 years of coding experience
bookIntegrated M.Sc., Mathematics and Computer Science, 8.67/10, Integrated M.Sc., Mathematics and Computer Science, 8.67/10 at National Institute of Science Education and Research
bookDoctor of Philosophy - PhD, Mathematics, Doctor of Philosophy - PhD, Mathematics at Western University
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Stackoverflow

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Github Skills (29)

resolutions10
interpreted-programming-language9
python8
cas8
mathematics8
symbolic-computation8
polynomials8
geometry7
algebra7
topology7
projective-geometry6
timetable6
groebner-basis6
python-interface6
computer-algebra-system6

Programming languages (8)

TypeScriptC++SCSSTeXJavaScriptMacaulay2HTMLPython

Github contributions (5)

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feynhat/feynhat.github.io

Oct 2016 - Jun 2023

Contributions:11 pushes, 1 branch in 6 years 9 months
feynhat/DecaySimulator

Nov 2016 - Dec 2023

Contributions:9 pushes, 1 branch in 7 years 2 months
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Kumar Shukla - Graduate Student