Alumni Talk Series

Speaker: 

Cynthia Northrup

Institution: 

Netflix Games

Time: 

Friday, December 6, 2024 - 4:00pm to 5:00pm

Location: 

MSTB 124

Cynthia will walk through her experience after grad school, including advice on finding, applying, and interviewing for jobs. Time will be allotted for questions.

Iterated nonstandard extensions in combinatorics

Speaker: 

Isaac Goldbring

Institution: 

UC Irvine

Time: 

Friday, November 1, 2024 - 4:00pm to 4:50pm

Location: 

MSTB 124

Nonstandard analysis is a set of techniques whose central idea is to enlarge a given mathematical structure by adding certain “ideal” elements in such a way that the enlarged structure maintains the same “logical” properties as the original structure.  Nonstandard analysis has found applications in nearly every area of mathematics.  In this talk, we will explain how this technique works by giving some simple proofs of important theorems from Ramsey theory, which is a branch of combinatorics.  These applications involve a relatively recent idea, namely the notion of an iterated nonstandard extension.

Corona Problems and Cauchy-Riemann Equations

Speaker: 

Song-Ying Li

Institution: 

UCI

Time: 

Friday, October 18, 2024 - 4:00pm to 4:50pm

Location: 

MSTB 124

In this talk, I will present some development of the corona problem
of serval complex variables and discuss its relation to the solution of the
Cauchy-Riemann equations. It contains the Carleson and Wol 's solution of
Carleson's corona theorem for one complex variable, a short survey on the
solutions of Cauchy-Riemann equations. Which includes the Hormander's
weighted L2-estimates, sup-norm estimates for the `del-bar-operator', the Berndtsson's conjecture
and its connection to the corona problem in several complex variables.

 

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