Vakil: The Rising Sea, Chapter 15 Solutions
NOV, 2022
Rudimentary solutions to chapter 15 of The Rising Sea by Ravi Vakil
TODO: 15.4.I, 15.4.J, 15.4.K
Vakil: The Rising Sea, Chapter 14 Solutions
AUG, 2022
Rudimentary solutions to chapter 14 of The Rising Sea by Ravi Vakil
TODO: 14.3.E
Vakil: The Rising Sea, Chapter 13 Solutions
AUG, 2022
Rudimentary solutions to chapter 13 of The Rising Sea by Ravi Vakil
TODO: §13.8
Vakil: The Rising Sea, Chapter 12 Solutions
AUG, 2022
Rudimentary solutions to chapter 12 of The Rising Sea by Ravi Vakil
TODO: §12.6 thru §12.9
Vakil: The Rising Sea, Chapter 11 Solutions
AUG, 2022
Rudimentary solutions to chapter 11 of The Rising Sea by Ravi Vakil
TODO: §11.5 (Proof of Krull Height Theorem)
Vakil: The Rising Sea, Chapter 10 Solutions
JUL, 2022
Rudimentary solutions to chapter 10 of The Rising Sea by Ravi Vakil
TODO: 10.3.C — 10.3.F (rigidity of abelian varieties)
Vakil: The Rising Sea, Chapter 9 Solutions
JUL, 2022
Rudimentary solutions to chapter 9 of The Rising Sea by Ravi Vakil
TODO: 9.1.C — 9.1.I (representable functors, open subfunctor)
☆ A number of solutions are adaped from Howard Nuer's own solutions to his Technion 2019 Algebraic Geometry course. I will later go through and accredit the exercises where his approach is used.
Vakil: The Rising Sea, Chapter 8 Solutions
JUN, 2022
Rudimentary solutions to chapter 8 of The Rising Sea by Ravi Vakil
☆ A number of solutions are adaped from Howard Nuer's own solutions to his Technion 2019 Algebraic Geometry course. I will later go through and accredit the exercises where his approach is used.
Vakil: The Rising Sea, Chapter 7 Solutions
MAY, 2022
Rudimentary solutions to chapter 7 of The Rising Sea by Ravi Vakil
☆ A number of solutions are adaped from Howard Nuer's own solutions to his Technion 2019 Algebraic Geometry course. I will later go through and accredit the exercises where his approach is used.
Vakil: The Rising Sea, Chapter 6 Solutions
APR, 2022
Rudimentary solutions to chapter 6 of The Rising Sea by Ravi Vakil
☆ A number of solutions are adaped from Howard Nuer's own solutions to his Technion 2019 Algebraic Geometry course. I will later go through and accredit the exercises where his approach is used.
Vakil: The Rising Sea, Chapter 5 Solutions
FEB, 2022
Rudimentary solutions to chapter 5 of The Rising Sea by Ravi Vakil
Vakil: The Rising Sea, Chapter 4 Solutions
JAN, 2022
Rudimentary solutions to chapter 4 of The Rising Sea by Ravi Vakil
TODO: 4.1.D (sheafification of module on affine)
Vakil: The Rising Sea, Chapter 3 Solutions
DEC, 2021
Rudimentary solutions to chapter 3 of The Rising Sea by Ravi Vakil
TODO: 3.7.E, 3.7.F, 3.7.G (minimal prime ideals)
Vakil: The Rising Sea, Chapter 2 Solutions
NOV, 2021
Rudimentary solutions to chapter 2 of The Rising Sea by Ravi Vakil
TODO: 2.4.M (sheafification on stalks), 2.5.E (surjectivity may be checked on base), 2.7.F (support of sheaf), 2.7.G (extension by 0)
Vakil: The Rising Sea, Chapter 1 Solutions
OCT, 2021
Rudimentary solutions to chapter 1 of The Rising Sea by Ravi Vakil
TODO: 1.4.G (colimits w/o filtered condition), 1.5.F, 1.5.G, 1.5.H (groupification functor), 1.6.M (limit of sequence of exaxt sequences is exact sequence of limits), all of §1.7 (Spectral Sequences)
About Me
My name is Chris and I'm a mathematics Ph.D. student at University of California, Santa Barbara (UCSB) studying Algebraic Geometry with a focus towards stability conditions (as occuring in String theory, etc).
Prior to my focus on pure mathematics, I completed my masters in applied computational topology, which itself was a bit of an abstraction from my undergrad in computer science engineering. Oddly enough, it all started with my love of Latin and classical Greek — but that's getting a bit off track.
Nowadays I spend the majority of my free time either woodworking like my father, or downhill / slalom longboarding (see homepage video). If you're ever in the central California area for the latter, give me a hollar. Thanks for visiting!