Curriculum Vitae

arXiv · Shah, K. C.with A. V. Kiselev

1. 2605.11137 · math.CO · may 2026

   Wronskian identity for iterated differential operators

   $$\bigl(\operatorname{const}(p)\bigr)_{p\geqslant 1}=\bigl(1,\,2,\,90,\,586656,\,\dots\bigr)$$

2. 2610.08636 · math.NT · oct 2026expanded extract

   Fast calculation of OEIS A392714

   $$c(18)=4.881\ldots\cdot 10^{462}$$

3. 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

arXiv:2610.08636 · math.NT

New integer sequence OEIS A392714 counts Wronskians: fast evaluation via late-growing permutations

Kian C. Shah, Arthemy V. Kiselev

arXiv:2610.35779 · math.CO

The counts of parity-odd vs even late-growing permutations in the group S₂ₚ₋₁ differ by (−1)ᵖ

Kian C. Shah, Arthemy V. Kiselev

OEIS

A392714

1, 2, 90, 586656, 1915103977500, ≈ 7.89·10²¹, ≈ 8.59·10³⁴, ≈ 4.59·10⁵¹, ≈ 2.06·10⁷², ≈ 1.24·10⁹⁷, ≈ 1.51·10¹²⁶, ≈ 5.50·10¹⁵⁹, …

GitHub

kiancshah/wronskian-constant

Two independently written solvers for const(p), exact to p = 18

Python · C++ · MIT licence

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

LinkedIn

Kian Shah

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

linkedin.com/in/kianshahrug

Late-growing permutations

Every walk for p = 3, blue for even and orange for odd. Their signs cancel down to one survivor.

CV · PDF

1. oct 2026 Preprints arXiv:2610.35779 and 2610.08636, with A. V. Kiselev
2. aug 2026 Talk, GQT Colloquium, Groesbeek
3. jul 2026 Talk at Group36, Valladolid; poster at ANTS XVII
4. 2023 – BSc Mathematics & Physics, University of Groningen

Research

const(p) and Wronskians

The identity, exact values up to p = 18, the parity theorem and what is still open.

Research

Minimal surfaces

Soap films grown from symmetries, to turn in 3D, and one whose edge is a trefoil.

Research

Questions worth chasing

1. The structure of late-growing permutations
2. Wronskian identity for iterated differential operators
3. 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

• Preparing for the Caltech Mathathon - super excited to be a part of it!
• 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.

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

University of Groningen

Bernoulli Institute

for Mathematics, Computer Science and Artificial Intelligence

At Right Angles · vol. 13 · 2022

Problem 61 from KVPY 2016

K. Shah · pp. 62-63