Chapter 1 Explicit Construction of Ramanujan Bigraphs

Chapter 2 Classifications of Elliptic Fibrations of a Singular K3 Surface

Chapter 3 Shalika Germs for 𝔰 𝔩 n $$\mathfrak{s}\mathfrak{l}_{n}$$ and 𝔰 𝔭 2 n $$\mathfrak{s}\mathfrak{p}_{2n}$$ Are Motivic

Chapter 4 The Conjectural Relation Between Generalized Shalika Models on SO 4 n ( F ) $$\mathop{\mathrm{SO}}\nolimits _{4n}(F)$$ and Symplectic Linear Models on Sp 4 n ( F ) $$\mathop{\mathrm{Sp}}\nolimits _{4n}(F)$$ : A Toy Example

Chapter 5 Bad Reduction of Genus Three Curves with Complex Multiplication

Chapter 6 Symmetries of Rational Functions Arising in Ecalle’s Study of Multiple Zeta Values

Chapter 8 Galois Representations and Galois Groups Over ℚ