Kian Shah - Mathematics & Physics

Final-year BSc Mathematics & Physics (double degree, honours) at the University of Groningen. Co-author of arXiv:2605.11137 with Prof. A. V. Kiselev - Wronskian identities and the const(p) sequence.

Aboutwho I am Researchconst(p), minimal surfaces Projectsselected works Teachingcourses I TA CVa formal proof of experience Nowwhat I'm doing these days Contactget in touch

arXiv · Shah, K. C.with A. V. Kiselev

2605.11137 · math.CO · may 2026

Wronskian identity for iterated differential operators

$\bigl(\operatorname{const}(p)\bigr)_{p\geqslant 1}=\bigl(1,\,2,\,90,\,586656,\,\dots\bigr)$
2610.08636 · math.NT · oct 2026expanded extract

Fast calculation of OEIS A392714

$c(18)=4.881\ldots\cdot 10^{462}$
2610.35779 · math.CO · oct 2026proof of the claim

Even vs odd late-growing permutations

$\#\Phi_p^{+}-\#\Phi_p^{-}=(-1)^{p+1}$

arXiv:2605.11137 · math.CO

The alternating compositions of weighted differential operators yield the weights’ Wronskian with which constant?

Kian C. Shah, Arthemy V. Kiselev

\begin{aligned}&\sum_{\sigma\in S_N}(-1)^{\sigma}\,\bigl(w_{\sigma(1)}\partial_x^{\,p}\bigr)\circ\cdots\circ\bigl(w_{\sigma(N)}\partial_x^{\,p}\bigr)\\&\qquad=\operatorname{const}(p)\cdot\operatorname{Wr}(w_1,\dots,w_N)\cdot\partial_x^{\,p}\end{aligned}

Google Scholar

Kian C. Shah

University of Groningen

Cited by 2

differential geometry · Lie theory · algebraic topology · string theory

ORCID

Kian C. Shah

University of Groningen

0009-0001-7637-5699

Cited by 2

Kian Shah

B.Sc. Mathematics and Physics student at University of Groningen

linkedin.com/in/kianshahrug

CV · PDF

oct 2026 Preprints arXiv:2610.35779 and 2610.08636, with A. V. Kiselev
aug 2026 Talk, GQT Colloquium, Groesbeek
jul 2026 Talk at Group36, Valladolid; poster at ANTS XVII
2023 – BSc Mathematics & Physics, University of Groningen

Research

Questions worth chasing

The structure of late-growing permutations
Wronskian identity for iterated differential operators
Minimal surfaces from symmetries

Three lines of work, each with its own page to step into.

Teaching

Courses I've TA'ed

Quantum Mechanics 1 and Metric & Topological Spaces, with hints and recaps for each homework.

/now

Current state vector

Back from the ASC School on Generalized Symmetries - Arnold Sommerfeld Center, LMU Munich, 5 - 9 October 2026 - school page ↗.
New preprint with A. V. Kiselev: The counts of parity-odd vs even late-growing permutations in the group S2p−1 differ by (−1)p - arXiv:2610.35779. The ornament from it is now on the site.
Earlier this month: New integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutations - arXiv:2610.08636.

Contact

k.shah.8@student.rug.nl

Or arXiv, ORCID, Google Scholar and LinkedIn, all on the contact page.

University of Groningen

Rijksuniversiteit Groningen

Groningen, the Netherlands · founded 1614