- Temperature in Natural Language Processing
- Singular Value Decomposition and PCA
- The Square Root Cancellation Heuristic
- How Does ChatGPT read?
- Using AI to Write Math
- Truthfulness of AI models like Chat GPT
- I started a YouTube Channel
- Can Chat-GPT Do Math?
- My experience with Computer Proofs
- On the largest sum-free subset problem in the integers
- Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants
- Effective results on the size and structure of sumsets
- Kuratowski Closure and Topological Spaces
- Exponential Sums along Oblique Lines
- A large gap in a dilate of a set
- An Analytic Approach to the Cardinality of Sumsets
- The Frobenius Postage Stamp Problem, and Beyond
- On generating functions in additive number theory, II: Lower-order terms and applications to PDEs
- Distinct Consecutive Differences
- Recent Progress on a Problem of Sárközy
- Spacing of Quadratic Fractions
- Sidon-like Sets
- Exponential Sums over Small Subgroups
- Entropy and Sumsets: An example
- Sum of a set and its dilate
- Breaking the 6/5 threshold for sums and products modulo a prime
- Covering sumsets and Plünnecke’s inequality
- Monochromatic Hilbert cubes and arithmetic progressions
- A short proof of the Hardy-Littlewood maximal inequality
- Convex sets have many differences
- Breaking the Square root Barrier via the Burgess Bound
- Convex sumsets and sum-product estimates
- On higher energy decompositions and the sum-product phenomenon
- Konyagin-Shkredov Clustering
- Fractal solutions of dispersive partial differential equations on the torus
- Hölder’s Inequality
- Lattice Points in Symmetric Convex bodies
- Distinct consecutive r-differences
- Getting a lower bound for an L1 norm using higher moments
- Gaps in prime-like sets
- A question about triangles
- Elementary techniques in a simple case of Vinogradov’s mean value theorem
- An introduction to Vinogradov’s mean value theorem
- A lower bound for the least prime in an arithmetic progression
- Poisson summation and the heat equation
- Convergence near the boundary
- A genus calculation for quotients of upper half plane
- Gauss Sums and Hausdorff-Young
- Counting lattice points
- Uniform boundedness and Fourier series
- Discrete Fourier transform
- Prime ideals in number fields
- A problem with sequences
- Cauchy’s integral formula and harmonic analysis
- Two types of convergence in probability
- Some basics of entropy
- A question related to sum-product
- Closed Unit Balls and Quotient Maps