Arun Soor’s Webpage

I am a DPhil (Maths) student at in the Mathematical Institute, University of Oxford.

My supervisor is Prof. Konstantin Ardakov.

I am currently in the 4th and final year of my DPhil. I am on the job market for post-doc positions starting in Autumn 2025.

You can find my CV here. (Last updated October 2024).

A. Soor. A six-functor formalism for quasi-coherent sheaves and crystals on rigid-analytic varieties, 2024. arXiv:2409.07592.
A. Soor. Quasicoherent sheaves for dagger analytic geometry, 2023. arXiv:2311.03101.

T. Assiotis, B. Bedert, M. A. Gunes, and A. Soor. Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. Nonlinearity, 34(7):4923–4943, 2021. arXiv:2009.04752.
T. Assiotis, B. Bedert, M. A. Gunes, and A. Soor. On a distinguished family of random variables and Painlevé equations. Probability and Mathematical Physics, 2:613–642, 2022. arXiv:2009.04760.
T. Assiotis, M. A. Gunes, and A. Soor. Convergence and an explicit formula for the joint moments of the circular Jacobi β-ensemble characteristic polynomial. Mathematical Physics Analysis and Geometry, 2021. arXiv:2110.05406.
P. Velvaluri, A. Soor, P. Plucinsky, R. Lima de Miranda, R. D. James, and E. Quandt. Origami-inspired thin-film shape memory alloy devices. Scientific Reports, 11(1):10988, 2021.

H. Liu, P. Plucinsky, F. Feng, A. Soor, and R. D. James. Origami and the structure of materials. SIAM news January/February 2022.

In the academic year 2024-2025, I am co-organizing the Oxford Junior Number Theory Seminar, together with Kate Thomas.

“A six−functor formalism for analytic $𝒟$−modules on rigid−analytic varieties”. Seminario de Geometría No Conmutativa del Atlántico Sur, Universidad de Buenos Aires, (June 2024). Slides Video.
”(\varphi, \Gamma)-modules”. Montreal functor study group, Oxford (March 2024). Notes.
“Galois representation associated to a weight 2 modular form”. Global reciprocity study group, Oxford (March 2024). Notes.
“Some perspectives on differential operators”. Geometric Langlands study group, Oxford (May 2023). Notes.
“Localisation of locally analytic representations”. Oxford junior algebra (February 2023).
“Period morphism and tower”. Rapoport-Zink spaces study group, Oxford (February 2023).
“Divisors on Y/φ^ℤ”. Fargues-Fontaine curve study group, Oxford (November 2022).
“Eichler-Shimura isomorphism”. Galois representations and modularity reading group, Oxford (November 2022). Notes.
I gave a series of talks about locally analytic vectors of completed cohomology from May-June 2022.
“Joint moments of characteristic polynomials of random unitary matrices”, Oxford junior number theory (March 2022). Slides.
“Weil groups, Weil-Deligne representations and class field theory”. Langlands reading group, Oxford (February 2022).
“Hodge-Tate representations”. p-adic Hodge theory reading group, Oxford (February 2022).
“Origami with conformal and helical symmetry”, a 20-minute talk I gave at the SIAM MS21 conference (May 2021). Slides.

MT24: College tutorials (Magdalen) for A2 Metric Spaces & Complex Analysis, Prelims Geometry.
TT24: College tutorials (Magdalen) for Prelims Constructive Mathematics.
HT24: College tutorials (Magdalen) for A5 Topology, Prelims Dynamics. Tutor for C2.6 Introduction to Schemes.
MT24: College tutorials (Magdalen) for A2 Metric Spaces & Complex Analysis, Prelims Geometry
TT23: College tutorials (Magdalen) for ASO Group theory, ASO Multidimensional Analysis, Prelims Constructive Mathematics
HT23: College tutorials (Magdalen) for A5 Topology, Prelims Dynamics. Tutor for C2.6 Introduction to Schemes.
MT22: College tutorials (Magdalen) for A2 Metric spaces & Complex analysis. TA for C3.6 Modular Forms, TA for B3.1 Galois Theory.
TT22: College tutorials (Magdalen) for ASO number theory, revision classes for A2 Metric Spaces & Complex Analysis
HT22: TA for B3.4 Algebraic Number Theory.
MT21: TA for B2.1 Introduction to Representation Theory.

From 2020-2021 I was the president of the Invariants, Oxford’s student maths society.