Starting on Oct 2, I will be teaching Math 246A, the first course in the three-quarter graduate complex analysis sequence at the math department here at UCLA. This first course covers much of the same ground as an honours undergraduate complex analysis course, in particular focusing on the basic properties of holomorphic functions such as the Cauchy and residue theorems, the classification of singularities, and the maximum principle, but there will be more of an emphasis on rigour, generalisation and abstraction, and connections with other parts of mathematics. The main text I will be using for this course is Stein-Shakarchi (with Ahlfors as a secondary text), but I will also be using the blog lecture notes I wrote the last time I taught this course in 2016. At this time I do not expect to significantly deviate from my past lecture notes, though I do not know at present how different the pace will be this quarter when the course is taught remotely. As with my 247B course last spring, the lectures will be open to the public, though other coursework components will be restricted to enrolled students.

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## 8 comments

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14 September, 2020 at 2:27 pm

Pedro M. SilvaDear prof. Tao,

(I hope this comment finds you well during these strange times.)

Thank you so much for providing open access to such nice classes.

Unfortunately, due to the difference in time zones, I won’t be able to follow the course.

Nonetheless, I was wondering if you are aware of any other professors or universities giving access to their online courses in math subjects for this semester/quarter. I couldn’t really find any others, except for past courses (which are recorded). Maybe we could collect this info somewhere, as this kind of initiative really helps during these quarentine moments.

In any case, thank you so much.

14 September, 2020 at 7:47 pm

Prateek P KulkarniDear Pedro,

Does ‘open access’ mean we can join the lectures too via zoom link?

‘Cause I have been wanting to take such a course (from a long time)..

16 September, 2020 at 9:06 am

AnonymousYes. You can join via zoom link.

14 September, 2020 at 4:15 pm

EdgawlietHello, where can I (not a student) enrol/take the course?

14 September, 2020 at 7:17 pm

HulkA small typo in the first sentence : departmeht departement. Do you teach about the 1966 Fields medalist A. Grothendieck contribution and more precisely about Grothendieck theorem (or inequality and its recent applications in theoretical computer science and graph theory) and Grothendieck real and complex constants introduced in his famous Résumé of 1956 and whose exact values still remain unknown and open problem problems nowadays (to the best of out knowledge and belief) despite a lot of old and recent research works both in maths and quantum physics which focused on finding and computing their lower and upper bounds (e.g., for the upper bound in the real case, cf. the works of Krivine in 1971 and of Braverman, Makarychev, Makarychev and Naor in 2011) ?

14 September, 2020 at 7:39 pm

Prateek P KulkarniSir, can non-UCLA students join the lectures (the zoom meeting mentioned on course website)? I am very much wanting to take this course sir. I very much look forward to this Complex Analysis course. Please let me know sir…

16 September, 2020 at 9:05 am

AnonymousYes. Anyone can attend the lectures.

14 September, 2020 at 11:32 pm

RyanTerry, have you looked at Marshall’s new text on the subject? – it seems like a very interesting text with a sweeping breadth of problems. Was wondering also what others think of it.

Warmly,

Ryan