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Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

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Month: March 2026

Tri Do – Counting points on hyperelliptic curves over finite fields modulo higher powers of p

Abstracts
March 26, 2026March 26, 2026
by Clayton Williams

In this talk, I will be continuing David Harvey’s series of lectures at the most……

Julia Stadlmann – The large sieve inequality and additive decompositions of sums of squares

Abstracts
March 26, 2026
by Clayton Williams

Ostmann’s problem asks if there are sets A1 and A2 with |A1|, |A2| > 1……

Cruz Castillo – Central L-Values

Abstracts
March 26, 2026March 26, 2026
by Clayton Williams

I will discuss various families of L-functions and the non-vanishing problem for them. I will……

Alex Song – Gauss Sums

Abstracts
March 26, 2026
by Clayton Williams

I will define the $\ell$-adic sheaf corresponding to a Gauss sum over $\mathbb{F}_p$ and use……

Mathematics is the queen of the sciences and number theory is the queen of mathematics.

Carl Friedrich Gauss

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algebraic number theory (7) analytic number theory (27) congruences (4) elliptic curves (4) geometry (4) L-functions (13) modular forms (16) notes (5) p-adic analysis (5) partitions (5)

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