VIETNAM POLYMATH REU
2023-2024
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Organizers
University of Virginia,
USA
Geometric Group Theory, Logic,
Geometric topology, Dynamical Systems
VNU University of Science,
Hanoi
Discrete Geometry, Additive Combinatorics, Geometric Measure Theory
Western University,
USA
Computational/Algebraic Number Theory, Non-commutative Algebras, and Nonlinear Dynamics
University of Science and Technology of China,
China
Extremal and Probabilistic Combinatorics,
Ramsey Theory, and Additive Combinatorics
List of students, groups and minicourses 2023-2024
List of students, groups and minicourses 2023-2024
Tentative Plan and Applications
Tentative plan:
Accept applications: 5 August to 27 August 2023
Interview: 28-31 August 2023
Mini-courses: 1-30 September 2023
Research phase: October 2023-October 2024
REU workshop at VIASM: July 1-5 2024
Note that the whole program will take place online via Zoom, other than the in-person workshop.
To apply: Please fill out this form by August 27, 2023.
For any questions, please don't hesitate to contact one of the following organizers:
Thomas Koberda: thomas.koberda@gmail.com
Anh Tu Nguyen: natu@hcmiu.edu.vn
Tho Tung Nguyen: nguyenthotung@gmail.com
Thang Pham: phamanhthang.vnu@gmail.com
Tuan Tran: manhtuankhtn@gmail.com
List of projects for 2023-2024
List of projects for 2023-2024
Topic 1: Random walks on Cayley graphs and unimodular random graphs.
Topic 2: The Tiling Conjecture.
Topic 3: Prime orthogeodesics in the truncated thrice-punctured sphere.
Topic 4: LOT groups and the Whitehead Conjecture.
Topic 5: Incidence Geometry.
Topic 6: On the structure and realizability of some reconfiguration graphs.
Topic 7: Period collapse phenomena in characteristic quasi-polynomials.
Topic 9: The finite field sum-product problem and related questions (for a group of 8 students).
Topic 10: Polynomial methods and applications.
Topic 11: Three-term arithmetic progressions.
Topic 12: The Cauchy-Davenport bound.
Topic 13: Shannon entropy and application to sum-product problem.
Topic 14: Hausdorff dimensions of fractal sets, fractal projections, and intersections problems.
Mentors
Mentors
University of Virginia,
USA
Operator Algebras, Ergodic Theory, Measured Group Theory, Sofic Groups
Korea Institute for Advanced Study,
Korea
Geometric Group Theory,
Low-dimensional Topology
University of Virginia,
USA
Geometric Group Theory, Logic,
Geometric topology, Dynamical Systems
VNU University of Science,
Hanoi
Discrete Geometry, Additive Combinatorics, Geometric Measure Theory
National University of Singapore
Singapore
Low-dimensional Topology, Geometric Structures, Representation Varieties, Dynamics of Group Actions
Leibniz Universitat Hannover,
Germany
Algebra, Combinatorics, Reflection Groups, Hyperplane Arrangements
Acknowledgements
Acknowledgements
We gratefully acknowledge the support of a "Faculty Global Research with Undergraduates" grant from the University of Virginia Center for Global Inquiry and Innovation, which makes the in-person workshop possible.
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