Moments, Monodromy, and Perversity: A Diophantine Perspective

 Introduction 1
Chapter 1: Basic results on perversity and higher moments 9
Chapter 2: How to apply the results of Chapter 2 93
Chapter 3: Additive character sums on Aⁿ 111
Chapter 4: Additive character sums on more general X 161
Chapter 5: Multiplicative character sums on Aⁿ 185
Chapter 6: Middle addivitve convolution 221
Appendix A6: Swan-minimal poles 281
Chapter 7: Pullbacks to curves from A¹ 295
Chapter 8: One variable twists on curves 321
Chapter 9: Weierstrass sheaves as inputs 327
Chapter 10: Weirstrass families 349
Chapter 11: FJTwist families and variants 371
Chapter 12: Uniformity results 407
Chapter 13: Average analytic rank and large N limits 443
References 455
Notation Index 461
Subject Index 467