Shrey Sanadhya
I am a postdoc fellow at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem . My mentor is Zemer Kosloff.
From August 2021 to August 2023, I was a postdoc fellow in the Department of Mathematics at the Ben-Gurion University of the Negev . My mentors were Tom Meyerovitch and Yaar Solomon .
In May 2021, I graduated with a Ph.D, degree in Mathematics from University of Iowa. My advisors were Sergii Bezuglyi and Palle Jorgensen.
I work in the area of ergodic theory, dynamical systems and related topics.
Office: 315, Manchester Building, Edmond J. Safra Campus
Email: shreysanadhya at gmail dot com
shrey dot sanadhy at mail dot huji dot ac dot il
Papers and Preprints :
Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages (with Zemer Kosloff), [arXiv:2409.05087].
Periodicity of joint co-tiles in Z^d, submitted (with Tom Meyerovitch and Yaar Solomon) to appear in Discrete Analysis [arXiv:2301.11255].
Bratteli diagrams in Borel dynamics, submitted (with Sergey Bezuglyi, Palle Jorgensen and Olena Karpel) to appear in Groups, Geometry, and Dynamics [arXiv:2212.13803].
A note on reduction of tiling problems, (with Tom Meyerovitch and Yaar Solomon) to appear in Israel Journal of Mathematics [arXiv:2211.07140].
Substitution-dynamics and invariant measures for infinite alphabet-path space, (with Sergey Bezuglyi and Palle Jorgensen), Advances in Applied Mathematics, Volume 156, 2024, 102687, ISSN 0196-8858, https://doi.org/10.1016/j.aam.2024.102687. [arXiv:2203.14127].
A shrinking target theorem for ergodic transformations of the unit interval, Discrete and Continuous Dynamical Systems, doi: 10.3934/dcds.2022042 . [arXiv:2105.00301].
Coboundaries of commuting Borel automorphisms, Opuscula Math. 41, no. 5 (2021), 667-683 [arXiv:2006.02925].
Cohomology of hyperfinite Borel actions (with Sergii Bezuglyi), Groups, Geometry, and Dynamics, Volume 15, Issue 4, 2021, pp. 1363–1398 [arXiv:2001.09205].
Thesis :
Cohomological properties of Borel automorphisms and substitutions on infinite alphabet, Spring 2021.
(Recipient of 2021 Bor-Luh Lin Thesis Award, University of Iowa. )
Selected talks:
Joint Mathematics Meetings 2024, San Fransisco Universality for R^d-flows; AIM Special Session on Little School Dynamics, January 3, 2024.
Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Periodicity of joint cotiles in Z^d, Dynamics seminar, Dec 23, 2023.
University of Exeter, Universality for R^d-flows; Dynamics Seminar, July 27, 2023.
University of Oxford, Periodicity of joint cotiles in Z^d, Hatfest- Celebrating the discovery of an aperiodic monotile, July 21, 2023.
Davidson College, Davidson N.C., Universality for R^d-flows, Carolina Dynamics Symposium 2023, April 15, 2023.
2023 Spring Eastern Sectional Meeting (Virtual), Periodicity of joint co-tiles in Z^d, Special Session on Fractal Geometry and Dynamical Systems, April 1, 2023,
Technion - Israel Institute of Technology, Universality for R^d-flows; Groups, Dynamics and Related Topics seminar, May 15th, 2023.
University of Vienna, Universality for R^d-flows, 36 th Summer Topology Conference, July 20, 2022.
Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Universality for R^d-flows, Dynamics seminar, April 12, 2022.
Tel Aviv University, Borel hyperplane absolute winning sets in R^d, Seminar on homogeneous dynamics and applications, Dec 16, 2021.
University of Maryland, Substitution on infinite alphabet and generalized Bratteli-Vershik model, Workshop on Dynamical Systems and Related Topics, April 11, 2021 (Video link).
McGill University, Generalized Bratteli Vershik model for substitution on infinite alphabets, Descriptive Dynamics and Combinatorics Seminar, March 10, 2021.
Ben Gurion University of the Negev, Substitution on infinite alphabets and generalized Bratteli-Vershik models, Probability and Ergodic Theory (PET) seminar, Feb 11, 2021, (Video link).
CIRM, Bratteli-Vershik model for substitution dynamical systems on countably infinite alphabet, Algebraic and Combinatorial Invariants of Subshifts and Tilings, Jan 14, 2021, (Video link , fwd to 198 minute mark in the video) .
University of Utah, Bratteli-Vershik models for Cantor and Borel dynamical systems, Seminar in Ergodic Theory, May 19, 2020, (Video link).
Virtual Math Fest, Commuting Borel Automorphisms, Symposium on Topology, Geometry and Dynamics, July 23, 2020 (Video link).
Indiana University–Purdue University Indianapolis (IUPUI), Commuting Borel automorphisms, Dynamical system seminar, March 11, 2020.
University of Alabama at Birmingham (UAB), Cocycles of Borel automorphism groups, Spring Topology and Dynamical Systems Conference, March 16, 2019.
University of Maryland, Cocycles of Borel automorphism groups, Workshop on Dynamical Systems and Related Topics, April 13, 2019.
Southern Illinois University Edwardsville, Cocycles of Borel automorphism groups, Colloquium-Math department, 10/26/2018.
University of South Dakota, Cocycles of Borel automorphism groups, Analysis Seminar, 10/17/2018.
Courses taught as a teaching assistant at University of Iowa
MATH 1460 : Calculus for the Biological Sciences , Fall 2016, Fall 2020.
MATH 1440 : Mathematics for the Biological Sciences, Spring 2017, Fall 2017.
MATH 1380 : Calculus and Matrix Algebra for Business, Spring 2018.
MATH 1850 : Calculus I, Summer 2018, Fall 2018.
MATH 3770 : Fundamental Properties of space and functions, Spring 2019.
MATH 1560 : Engineer Math II: Multi-variable Calculus, Spring 2020.
MATH 5200 : Introduction to Analysis I, Fall 2020
Course taught as an instructor at University of Iowa
MATH 1850 Calculus I, Summer 2016, TRIO Upward Bound program (college preparatory program for income qualified and/or first-generation college students).
Conferences and Workshops attended
Nilpotent structures in topological dynamics, ergodic theory and combinatorics, Będlewo, Poland June 4-10,2023
Carolina Dynamics Symposium 2023, Davidson College, Davidson, N.C., April 14-16, 2023
36 th Summer Topology Conference, University of Vienna, July 18-22, 2022.
Dynamics Week in Jerusalem, Einstein Institute of Mathematics, Hebrew University, July 3-5, 2022.
Action Now Wandering Seminar, Weizmann Institute of Science, December 20, 2021.
Joint Math Meeting of AMS and MAA, Session on Groups and Topological Dynamics, Denver 2020.
Houston summer school on dynamical systems, University of Houston, 2019.
Workshop on Dynamical Systems and Related Topics, University of Maryland, 2019 and 2018.
Spring Topology and Dynamical Systems Conference, University of Alabama at Birmingham, 2019.
Midwest Dynamical Systems Early Career Conference, The Ohio State University, May 2019.
Semi-annual Workshop in Dynamical Systems and Related Topics, Penn State University, 2019 and 2018.
Midwest Dynamical Systems Conference, University of Illinois at Chicago, Nov 2019.
Poster Presentation
Midwest Dynamical Systems Early Career Conference (Online Conference),
Bratteli-Vershik model for substitutions on infinite alphabets, Nov 2020. (Video link) (Poster link).
Penn State University, Semi-annual Workshop in Dynamical Systems and Related Topics, Commuting Borel automorphisms,September 2019.
The Ohio State University, Midwest Dynamical Systems Early Career Conference, Cohomology of Borel dynamical systems, May 2019.