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math.CO2026
An Exact Counting Formula for the Mutual Position of Two Plane Conics
Tianhao Wang
Let be an odd prime power, and be two smooth plane conics defined over with transversal intersection. We present an exact formula for…
math.NT2026
Splitting of Polynomial Families via Galois Theory
Tianhao Wang
We study the splitting behavior of parametrized families of polynomials over finite fields through a geometric and Galois-theoretic approach. While the underlying techniques are wi…