Pirnapasov Abror – Mathematics at NEWUU

Biography

Abror Pirnapasov works in symplectic geometry, contact topology and Hamiltonian dynamics, with a focus on Reeb flows, topological entropy and the dynamics of area-preserving surface maps. He is a Member of the Institute for Advanced Study in Princeton, where his mentor is Helmut Hofer.

He took his PhD at Ruhr-Universität Bochum in 2021, summa cum laude, under Barney Bramham and Gerhard Knieper, and has since held postdoctoral positions at the University of Maryland, the École normale supérieure de Lyon and Bochum.

Education

PhD in Mathematics — Ruhr-Universität Bochum, Germany (2017–2021). Thesis: Applications of contact homologies to the dynamics of low dimensional Hamiltonian systems. Advisors: Barney Bramham and Gerhard Knieper. Grade: summa cum laude. Sponsored by CRC/TRR 191, Symplectic Structures in Geometry, Algebra and Dynamics.

Postgraduate Diploma in Mathematics — Abdus Salam International Centre for Theoretical Physics (ICTP), Italy (2016–2017). Thesis: Stable manifolds and its applications. Advisor: Stefano Luzzatto.

M.Sc. in Mathematics, with honours — National University of Uzbekistan (2013–2015). Thesis: Quadratic dynamical systems of simplex.

B.Sc. in Mathematics, with honours — National University of Uzbekistan (2009–2013). Thesis: Quadratic automorphisms of simplex and their trajectories.

Academic Positions

2025–present — Member, Institute for Advanced Study, Princeton. Mentor: Helmut Hofer.
2023–2025 — Postdoctoral Fellow, University of Maryland, Geometry and Topology group. Mentor: Dan Cristofaro-Gardiner.
2022–2023 — Postdoctoral Fellow, École normale supérieure de Lyon, UMPA, within ANR CoSyDy. Leader: Marco Mazzucchelli.
2021–2022 — Postdoctoral Fellow, Ruhr-Universität Bochum, Analysis group.
2015–2016 — Teaching Assistant, National University of Uzbekistan, Algebra and Functional Analysis group.

Publications

M. Alves, U. Hryniewicz, M. Meiwes, A. Pirnapasov and P. Salomão, A Denvir–Mackay theorem for Reeb flows (2026).
M. R. R. Alves, L. Dahinden, M. Meiwes and A. Pirnapasov, C⁰-stability of topological entropy for Reeb flows in dimension 3, Journal of the European Mathematical Society (2026), published online first. doi
D. Bechara Senior, P. Le Calvez and A. Pirnapasov, The asymptotic mean action and the asymptotic linking number for pseudo-rotations, Mathematische Zeitschrift 312 (2026), Paper No. 65. doi
A. Pirnapasov and R. Prasad, Generic equidistribution for area-preserving diffeomorphisms of compact surfaces with boundary, Revista Matemática Iberoamericana 41 (2025), no. 3, 1101–1128. doi
B. Bramham and A. Pirnapasov, Spectral invariants for non-compactly supported Hamiltonians on the disc, and an application to the mean action spectrum, preprint (2024). arXiv:2403.07863
A. Pirnapasov, Hutchings' inequality for the Calabi invariant revisited with an application to pseudo-rotations, Journal of Fixed Point Theory and Applications 26 (2024), no. 4, Paper No. 56. doi
M. R. R. Alves and A. Pirnapasov, Reeb orbits that force topological entropy, Ergodic Theory and Dynamical Systems 42 (2022), no. 10, 3025–3068. doi
A. Pirnapasov, Applications of contact homologies to the dynamics of low dimensional Hamiltonian systems, PhD thesis, Ruhr-Universität Bochum (2021). doi
F. Mukhamedov, U. Jamilov and A. Pirnapasov, On nonergodic uniform Lotka–Volterra operators, Mathematical Notes 105 (2019), 258–264. doi
R. Ganikhodzhaev, F. Mukhamedov, A. Pirnapasov and I. Qaralleh, Genetic Volterra algebras and their derivations, Communications in Algebra 46 (2017), 1353–1366. doi
R. Ganikhodzhaev and A. Pirnapasov, Quadratic homeomorphisms of the two-dimensional simplex and their trajectories, Contemporary Mathematics 672 (2016), 179–184. doi

Teaching

As instructor

MATH120 Elementary Calculus I, University of Maryland (Spring 2025).
MATH136 Calculus for Life Sciences, University of Maryland (Fall 2024).
MATH430 Euclidean and Non-Euclidean Geometries, University of Maryland (Spring 2024).

As teaching assistant

Functional Analysis, Ruhr-Universität Bochum (Spring 2022).
Analysis 3, Ruhr-Universität Bochum (2021/22); Analysis 1 (2020/21).
Abstract Algebra 1 and 2, and Linear Algebra 1 and 2, National University of Uzbekistan (2015/16).

Minicourses

Introduction to Ergodic Theory, summer school on Ergodic Theory and Dynamical Systems, National University of Uzbekistan, Tashkent (July 2021).

Invited Talks

2026 — Joint Mathematics Meetings.
2025 — Maryland–Penn State Semiannual Workshop on Dynamical Systems and Related Topics; Symplectic Seminar, University of Montreal.
2024 — Symplectic Geometry Seminar, Institute for Advanced Study, Princeton; Geometry Seminar, University of Virginia; Dynamics Seminar, University of Maryland.
2023 — Joint IAS/Princeton University Symplectic Geometry Seminar; Dynamics Seminar, University of Maryland; COSY meeting, Lyon 1; Séminaire Géométrie et applications, IRMA Strasbourg; Séminaire Géométries, Lyon 1.
2022 — Post Graduate Seminar Geometry and Analysis, RWTH Aachen; Séminaire de Géométrie, Groupes et Dynamiques, ENS de Lyon; Symplectix, Institut Henri Poincaré, Paris.
2021 — SFB 191 Retreat, Maria in der Aue, Cologne; Seminário Simplético do Rio, IMPA, Rio de Janeiro.
2020 — SFB 191 Retreat, Cologne; Symplectic Zoominar (Montreal, Princeton/IAS, Tel Aviv and Paris).

Awards and Fellowships

American Mathematical Society travel grant, Mathematical Congress of the Americas (2025).
Walter Benjamin Program research grant, German Research Foundation, for two years at the University of Maryland (2023–2025).
Postgraduate Diploma Fellowship, ICTP (2016).
Medal “Shuhrat”, Government of Uzbekistan (2014).
President of the Republic of Uzbekistan Fellowship, awarded to the sole graduating undergraduate in a STEM field nationwide (2012).
First place, National Undergraduate Mathematics Olympiad (2011, 2012, 2013).
Bronze medal, 50th International Mathematical Olympiad (2009).

Service and Outreach

Co-organizer, Joint Institute for Advanced Study–Princeton University Symplectic Geometry Seminar (2025–2026).
Co-organizer, Geometry and Topology Seminar, University of Maryland (2024–2025).
Referee for Archive for Rational Mechanics and Analysis, Bulletin de la Société Mathématique de France, Journal of Topology and Analysis, Linear and Multilinear Algebra, Qualitative Theory of Dynamical Systems and Selecta Mathematica.
Lectures and tutorials for undergraduate mathematics circles in Tashkent (2013–2016), and preparation of circle members for the International Mathematics Competition for University Students (Spring 2020).
Ran a public mathematics channel on Telegram in Uzbek, with around 6,000 subscribers (2019–2020).
Maryland Day outreach (2024, 2025), demonstrating the double pendulum to introduce children to chaos and dynamical systems.