VIETNAM POLYMATH REU

2022-2023

Organizers

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

Secretary

Quy Pham

University of Rochester, USA

Harmonic Analysis,

Geometric Measure Theory

Plan and Applications

Plan:

Receive applications: 20 July to 10 August 2022

Interview: 10-15 August 2022

Mini-courses: 1-30 September 2022

Research phase: October 2022-October 2023

Note that the whole program will take place online via Zoom.

For any questions, please don't hesitate to contact one of the following organizers:

Nguyen Anh Tu: natu@hcmiu.edu.vn

Thang Pham: phamanhthang.vnu@gmail.com

Tuan Tran: manhtuankhtn@gmail.com

Tho-Tung Nguyen: nguyenthotung@gmail.com

## List of projects for 2022-2023

Topic 1: Oddtown problems

Topic 2: Extremal numbers of posets in the Boolean lattice

Topic 3: Falconer-type problems in Geometric Measure Theory

Topic 4: Harmonic analysis problems and their applications to the discrete problems over finite fields

Topic 5: Problems related to Kruskal-Katona theorem

Topic 6: Quantitative properties for second order elliptic equations

Topic 7: Semi-rigid point configurations

Topic 8: The finite field sum-product problem and related questions.

Topic 9: Incidence Geometry

Topic 10: Polynomial methods and applications

## Mentors

Institute for Basic Science,

Korea

Extremal Combinatorics, Probabilistic Combinatorics, Random graphs, Discrete Probability, Discrete Geometry

Chungbuk National University,

Korea

Harmonic Analysis in Finite Fields,

Fourier Analysis,

Analytic Number Theory, Geometric Combinatorics

VNU University of Science,

Hanoi

Discrete Geometry, Additive Combinatorics, Geometric Measure Theory

Missouri State University,

USA

Geometric Combinatorics, Additive Number Theory, Swarm Intelligence

National Taiwan University,

Taiwan

Additive Combinatorics, Harmonic Analysis, Geometric Measure Theory

University of Science and Technology of China,

China

Extremal and Probabilistic Combinatorics,

Ramsey Theory, and Additive Combinatorics